# Mathematics (MATH)

### Courses

**MATH 011 Fundamentals of Mathematics* (3 Hours)**

**Prerequisites :** (AAC 092 with a grade of "C" or higher or AAC 112 with a grade of "C" or higher) or appropriate score on the math placement test.

Fundamentals of Mathematics is designed for the student who needs to improve or review basic math skills and concepts. This course includes computation using integers, fractions, decimals, proportions and percents along with an overview of measurement, geometry and statistics. Fundamentals of Math provides the mathematical foundation upon which subsequent studies in mathematics and other areas depend. This course is the first in a sequence of courses leading to MATH 116 or higher. This course does not fulfill degree requirements.

**MATH 014 Accelerated Prep for College Math* (5 Hours)**

**Prerequisites :** (MATH 011 with a grade of "B" or higher or MATH 111 with a grade of "B" or higher) or an appropriate score on the math placement test.

This accelerated course includes all algebra topics needed to prepare a student for MATH 165, MATH 171, or MATH 173. The course is designed to help students acquire a solid foundation in the required skills of algebra. Students will simplify arithmetic and algebraic expressions, including those containing polynomials, rational expressions, rational exponents, radical expressions and complex numbers; solve linear inequalities; solve equations that are linear, quadratic, and quadratic in form as well as equations containing rational expressions or radicals; graph linear equations and inequalities; graph quadratic equations; and analyze linear equations, functions and non-functions. This course does not fulfill degree requirements.

**MATH 015 Elementary Algebra* (3 Hours)**

**Prerequisites :** (MATH 011 with a grade of "C" or higher or MATH 111 with a grade of "C" or higher) or appropriate score on the math placement test.

This is a beginning course in algebra, designed to help students acquire a solid foundation in the basic skills of algebra. Students will learn to simplify algebraic expressions, polynomials, rational expressions and square root expressions; solve equations and inequalities, including linear equations and quadratic equations; and graph linear equations. This course is the second in a sequence of courses leading to MATH 116 or higher. This course does not fulfill degree requirements.

**MATH 116 Intermediate Algebra* (3 Hours)**

**Prerequisites :** (MATH 015 with a grade of "C" or higher or MATH 115 with a grade of "C" or higher) or appropriate score on the math placement test.

This course focuses on arithmetic and algebraic manipulation, equations and inequalities, graphs, and analysis of equations and graphs. Students will simplify arithmetic and algebraic expressions, including those containing rational expressions, rational exponents, radicals and complex numbers; solve equations including linear, quadratic, quadratic in form, as well as those containing rational expressions or radicals; graph linear inequalities in two variables; and analyze functions and non-functions.

**MATH 118 Geometry* (3 Hours)**

**Prerequisites :** (MATH 015 with a grade of "C" or higher or MATH 115 with a grade of "C" or higher) or appropriate score on the math placement test.

This course is an introductory approach to geometry. Topics will include lines, polygons, area, volume, circles, similarity, and congruence.

**MATH 120 Business Mathematics* (3 Hours)**

**Prerequisites :** (MATH 011 with a grade of "C" or higher or MATH 111 with a grade of "C" or higher) or appropriate score on the math placement test.

This is a course for the student who needs specific skills in mathematics to address business problems and business applications. Students will learn the mathematics involved in payroll, retailing, asset valuation, interest, finance, and the time value of money. Students will use a calculator and computer to solve a variety of applications.

**MATH 130 Technical Mathematics I* (3 Hours)**

**Prerequisites :** (MATH 011 with a grade of "C" or higher or MATH 111 with a grade of "C" or higher) or an appropriate score on the math placement test.

This course is the first of a two-semester sequence that will introduce the mathematical skills and concepts necessary in technical work. It will focus on the basics of algebra, geometry and their applications. Topics will include operations with polynomials, linear equations, systems of equations, formulas, basic geometry, and Boolean algebra.

**MATH 131 Technical Mathematics II* (3 Hours)**

**Prerequisites :** MATH 130 with a grade of "C" or higher.

This course is the second of a two-semester sequence on the mathematical skills and concepts necessary in technical work. It will focus on more advanced algebraic skills, solving equations, and trigonometry. The topics will include polynomials, rational expressions, radical expressions, complex numbers, solving quadratic, rational, radical, exponential and logarithmic equations, and working with basic trigonometry.

**MATH 165 Finite Mathematics* (3 Hours)**

**Prerequisites :** (MATH 014 with a grade of "C" or higher or MATH 114 with a grade of "C" or higher) or MATH 116 with a grade of "C" or higher or an appropriate score on the math placement test.

This course will emphasize the beauty, scope, practical applications and relevance of mathematics. It is designed to involve the students with the concepts as well as quantitative skills. Topics include set theory, symbolic logic, deductive reasoning, probability, statistics, mathematics of finance, systems of equations, matrix algebra and linear programming.

**MATH 171 College Algebra* (3 Hours)**

**Prerequisites :** (MATH 014 with a grade of "C" or higher or MATH 114 with a grade of "C" or higher) or MATH 116 with a grade of "C" or higher or appropriate score on the math placement test.

This course focuses on the study of functions and their graphs, techniques of solving equations, and applications. Students will analyze and graph non-functions and functions, including constant, linear, quadratic, piecewise-defined, absolute value, square root, polynomial, rational, exponential, and logarithmic functions; solve equations, including polynomial, absolute value, radical, rational, exponential, logarithmic, and systems of linear equations; solve inequalities, including absolute value, polynomial, rational, and systems of linear inequalities; and apply functions in real-world situations.

**MATH 171H HON: College Algebra (1 Hour)**

One-credit hour honors contract is available to qualified students who have an interest in a more thorough investigation of a topic related to this subject. An honors contract may incorporate research, a paper, or project and includes individual meetings with a faculty mentor. Student must be currently enrolled in the regular section of the courses or have completed it the previous semester. Contact the Honors Program Office, COM 201, for more information. Prerequsite: Honors department approval.

**MATH 172 Trigonometry* (3 Hours)**

**Prerequisites :** MATH 171 with a grade of "C" or higher or appropriate score on the math placement test.

This is a course in trigonometric functions and graphs. Emphasis will be on understanding function notation, definitions, algebraic relations, real-world applications, graphing in the real and complex plane, inverse functions, polar functions and vectors.

**MATH 172H HON: Trigonometry (1 Hour)**

One-credit hour honors contract is available to qualified students who have an interest in a more thorough investigation of a topic related to this subject. An honors contract may incorporate research, a paper, or project and includes individual meetings with a faculty mentor. Student must be currently enrolled in the regular section of the courses or have completed it the previous semester. Contact the Honors Program Office, COM 201, for more information. Prerequsite: Honors department approval.

**MATH 173 Precalculus* (5 Hours)**

**Prerequisites :** (MATH 014 with a grade of "C" or higher or MATH 114 with a grade of "C" or higher) or MATH 116 with a grade of "C" or higher or appropriate score on the math placement test.

MATH 173 is an accelerated course recommended for students with a strong high school math background (three to four years) who plan to take calculus. This course focuses on the study of functions and their graphs, solving equations and inequalities, recognition and creation of patterns, and the use of mathematical models. Included in the course are linear, power, polynomial, rational, radical, exponential, logarithmic, trigonometric and absolute value functions.

**MATH 173H HON: Precalculus (1 Hour)**

One-credit hour honors contract is available to qualified students who have an interest in a more thorough investigation of a topic related to this subject. An honors contract may incorporate research, a paper, or project and includes individual meetings with a faculty mentor. Student must be currently enrolled in the regular section of the courses or have completed it the previous semester. Contact the Honors Program Office, COM 201, for more information. Prerequsite: Honors department approval.

**MATH 175 Discrete Mathematics and its Applications* (3 Hours)**

**Prerequisites :** MATH 171 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher or appropriate score on the math placement test.

This course is designed to present the beauty, scope, practical applications and relevance of mathematics. It will focus on applications of general interest drawn primarily from the social and biological sciences and business. Topics will be placed in a historical context, and mathematical reasoning will be stressed.

**MATH 181 Statistics* (3 Hours)**

**Prerequisites :** MATH 171 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher or appropriate score on the math placement test.

This is a beginning course in statistical analysis, the skill of making sense of raw data, constructing graphical representations of data, developing models for making predictions, performing tests to determine significant change and finding intervals for population values. Students will learn the basics of descriptive statistics, probability, sampling, confidence intervals, distributions, hypothesis testing, regression and correlation. Use of technology will be incorporated into course topics.

**MATH 181H HON: Statistics (1 Hour)**

**MATH 191 Math and Physics for Games I* (4 Hours)**

**Prerequisites :** (MATH 171 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher or appropriate score on math placement test) and GAME 121.

This introductory course focuses on the mathematics and physics concepts needed to program a variety of video game scenarios. Students will learn to use vectors and matrix transformations to model the motion of physical objects in two and three dimensions. Students will also learn various computer programming methods in order to model these mathematical and physical concepts. MATH 191 and PHYS 191 are the same course; enroll in only one.

**MATH 191H HON: Math and Physics for Games I (1 Hour)**

**MATH 210 Mathematics for Elementary Teachers I* (3 Hours)**

**Prerequisites :** MATH 171 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher or appropriate score on math placement test.

This is the first of a two-course sequence for prospective teachers of elementary and middle school mathematics. The focus of this course is an in-depth investigation of the mathematical principles and concepts encountered in grades K-8. Topics include set theory, numeration systems, number sense, critical thinking, and problem-solving strategies. The use of appropriate techniques and tools, such as calculators, computers and manipulatives, will be integrated throughout the course in order to enhance the depth of understanding.

**MATH 212 Math for Elementary Teachers II* (3 Hours)**

**Prerequisites :** MATH 210 with a grade of "C" or higher or department approval.

This is the second of a two-course sequence for prospective teachers of elementary/middle school mathematics. The focus of this course is an in-depth investigation of the mathematical principles and concepts encountered in grades K-8. Topics include probability, statistics, measurement, and shapes including congruency, similarity, and transformations. The use of appropriate techniques and tools, such as calculators, computers, and manipulatives, will be integrated throughout the course in order to enhance the depth of understanding.

**MATH 214 Introduction to Teaching Math and Science I* (1 Hour)**

**Prerequisites :** MATH 171 with a grade of "C" or higher or an appropriate score on the math placement test or department approval.

This course allows math and science students to explore and develop an appreciation for teaching as a career. To support their learning, students will be introduced to the theory and practice that is necessary to design and deliver quality instruction. They will plan and implement lessons of an inquiry-based curriculum in an elementary classroom during the semester. MATH 214, ASTR 214, BIOL 214, CHEM 214, GEOS 214, PHYS 214 and PSCI 214 are the same course; enroll in only one.

**MATH 215 Introduction to Teaching Math and Science II* (1 Hour)**

**Prerequisites :** ASTR 214 with a grade of "C" or higher or BIOL 214 with a grade of "C" or higher or CHEM 214 with a grade of "C" or higher or GEOS 214 with a grade of "C" or higher or MATH 214 with a grade of "C" or higher or PHYS 214 with a grade of "C" or higher or PSCI 214 with a grade of "C" or higher.

Students learn about the middle school environment and work on math and science inquiry-based lesson analysis, design and assessment. Student partners will plan and teach three inquiry-based lessons in a middle school. The course emphasizes writing 5E lesson plans with a focus on the importance of using appropriate questioning and assessment strategies throughout the lesson, as well as how to analyze and modify a lesson based on personal reflections and observer feedback. By the completion of the course, students should be able to reflect on their personal suitability/interest in teaching secondary math or science, and develop a feasible pathway to a career in teaching. MATH 215, ASTR 215, BIOL 215, CHEM 215, GEOS 215, PHYS 215 and PSCI 215 are the same course; enroll in only one.

**MATH 231 Business and Applied Calculus I* (3 Hours)**

**Prerequisites :** MATH 171 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher or an appropriate score on a placement test.

This is the first course in calculus as it applies to business; the social, behavioral and biomedical sciences; and other fields. Concepts include measuring the slope of a curve, writing equations of tangent lines, finding maximum and minimum points, determining the rate of change of a function, and measuring the area under a curve. Algebraic skills and application problems are stressed. Specific calculus topics include finding limits; differentiation of algebraic, exponential and logarithmic functions; and integration of algebraic and exponential functions. Trigonometry (MATH 172) can be taken concurrently with MATH 231 for those students planning to enroll in MATH 232 in subsequent semesters.

**MATH 231H HON: Business and Applied Calculus I (1 Hour)**

**MATH 232 Business and Applied Calculus II* (3 Hours)**

**Prerequisites :** MATH 231 and (MATH 172 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher) or an appropriate score on the math placement test.

This is the second course in a two-semester series on calculus that covers five techniques of integration, differentiation and integration of trigonometric functions, differential equations, and functions of several variables as applied to business, statistics, biology and the social sciences.

**MATH 232H HON: Business and Applied Calculus II (1 Hour)**

**MATH 241 Calculus I* (5 Hours)**

**Prerequisites :** (MATH 171 with a grade of "C" or higher and MATH 172 with a grade of "C" or higher) or MATH 173 with a grade of "C" or higher or an appropriate score on a placement test.

This is the first of a three-semester sequence on calculus designed for engineering, physics and math majors. Rates of change and areas will be studied. To accomplish this, the students will study and apply limits and continuity. Differentiation and integration of algebraic, trigonometric and transcendental functions will also be a major focus of this course.

**MATH 241H HON: Calculus I (1 Hour)**

**MATH 242 Calculus II* (5 Hours)**

**Prerequisites :** MATH 241 with a grade of "C" or higher.

This is the second course of a three-semester sequence on calculus. Integration is covered with an emphasis on analytical, numerical, and graphical methods. Techniques of integration are used to solve scientific and geometric applications. Infinite series are analyzed for convergence and applied to the representation of functions.

**MATH 242H HON: Calculus II (1 Hour)**

**MATH 243 Calculus III* (5 Hours)**

**Prerequisites :** MATH 242 with a grade of "C" or higher.

This is the third course in a three-semester sequence on analytic geometry and calculus. Topics include vector-valued functions, functions of several variables, multiple integration, and vector analysis.

**MATH 243H HON: Calculus III (1 Hour)**

**MATH 246 Elementary Linear Algebra* (3 Hours)**

**Prerequisites :** MATH 242 with a grade of "C" or higher.

This sophomore-level introduction to linear algebra uses a matrix-oriented approach, with an emphasis on problem solving and applications. The course focus is on matrix arithmetic, systems of linear equations, properties of Euclidean n-space, eigenvalues and eigenvectors, orthogonality and vector spaces.

**MATH 246H HON: Elementary Linear Algebra (1 Hour)**

**MATH 254 Differential Equations* (4 Hours)**

**Prerequisites :** MATH 243 with a grade of "C" or higher.

This course will cover standard types of equations that involve rates of change. In particular, this is an introductory course in equations that involve ordinary derivatives. Both qualitative and quantitative approaches will be used. Standard types and methods will be covered, including Laplace transforms, infinite series, and numerical methods. Basic linear algebra will be developed to solve systems of differential equations.

**MATH 254H HON: Differential Equations (1 Hour)**

**MATH 285 Statistics for Business* (4 Hours)**

**Prerequisites :** MATH 231 with a grade of "C" or higher or MATH 241 with a grade of "C" or higher.

This is a beginning course in statistical analysis using calculus, with an emphasis on applications to business. The skill of making sense of raw data is important and includes constructing graphical representations of data, developing models for making predictions, performing tests to determine significant change, and finding intervals for population values. Students will learn the basics of descriptive statistics, probability, sampling, confidence intervals, hypothesis testing, linear regression, and an introduction to quality control. Students must have an understanding of calculus concepts in order to successfully complete this course.

**MATH 290 Independent Study* (1-7 Hour)**

**Prerequisites :** 2.0 GPA minimum and department approval.

Independent study is a directed, structured learning experience offered as an extension of the regular curriculum. It is intended to allow individual students to broaden their comprehension of the principles of and competencies associated with the discipline or program. Its purpose is to supplement existing courses with individualized, in-depth learning experiences. Such learning experiences may be undertaken independent of the traditional classroom setting, but will be appropriately directed and supervised by regular instructional staff. Total contact hours vary based on the learning experience.

**MATH 292 Special Topics:* (1-3 Hour)**

**Prerequisites :** Department approval.

MATH 292 allows students to investigate in-depth a single theme or topic in mathematics. This may be accomplished by expanding upon a subject introduced in current course offerings or exploring a subject not addressed in the curriculum of the mathematics department. Special Topics may be repeated for credit but only on different topics. Total contact hours vary with topic.

# MATH 011

**Title:**Fundamentals of Mathematics***Number:**MATH 011**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** (AAC 092 with a grade of "C" or higher or AAC 112 with a grade of "C" or higher) or appropriate score on the math placement test.

### Description:

Fundamentals of Mathematics is designed for the student who needs to improve or review basic math skills and concepts. This course includes computation using integers, fractions, decimals, proportions and percents along with an overview of measurement, geometry and statistics. Fundamentals of Math provides the mathematical foundation upon which subsequent studies in mathematics and other areas depend. This course is the first in a sequence of courses leading to MATH 116 or higher. This course does not fulfill degree requirements.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Compute with integers, fractions, and decimals.
- Apply the rules of order of operation to simplify numerical expressions.
- Perform calculations and conversions using the U.S. and metric systems of measurement.
- Demonstrate the use of ratios, proportions and percentages.
- Calculate perimeter, circumference, area, and volume of geometric figures.
- Use geometry to determine triangle and angle relationships.
- Calculate the mean, median, and mode of a set of numbers.
- Interpret statistical charts and graphs.
- Use rounding to estimate results and determine if answers are reasonable.
- Solve application problems.

### Content Outline and Competencies:

I. Whole Numbers

A. Identify place value of the digits in a whole number.

B. Read whole numbers.

C. Write whole numbers.

D. Compare the size of whole numbers using inequality symbols.

E. Round whole numbers.

F. Estimate results using rounding.

G. Add, subtract, multiply, and divide whole numbers.

H. Evaluate expressions written in exponential form.

I. Calculate square roots.

J. Apply the rules of order of operation to whole numbers.

K. Use the tests for divisibility for 2, 3, 5, and 10.

L. Determine if a number is prime or composite.

M. Determine the prime factorization of whole numbers.

N. Calculate the least common multiple and greatest common factor.

O. Solve applications using whole numbers.

II. Fraction Notation

A. Identify the numerator and denominator of a fraction.

B. Identify mixed numbers.

C. Convert between mixed numbers and improper fractions.

D. Compare the size of fractions and mixed numbers using inequality symbols.

E. Simplify fractions.

F. Identify equivalent fractions.

G. Change a fraction to an equivalent fraction with a different denominator.

H. Add, subtract, multiply, and divide fractions and mixed numbers.

I. Apply the rules of order of operation to fractions and mixed numbers.

J. Solve applications using fractions and mixed numbers.

III. Ratios and Proportions

A. Define a ratio.

B. Create a ratio.

C. Determine if a proportion is true.

D. Solve proportions.

E. Solve applications using proportions.

IV. Decimal Notation

A. Identify place value of the digits in a decimal number.

B. Read and write decimal numbers.

C. Round decimal numbers.

D. Estimate results using rounding.

E. Add, subtract, multiply, and divide decimal numbers.

F. Compare the size of decimal numbers using inequality symbols.

G. Apply the rules of order of operation to decimal numbers.

H. Convert between fraction notation and decimal notation.

I. Solve applications using decimal numbers.

V. Percent Notation

A. Define percent.

B. Convert between percent notation and decimal notation.

C. Convert between percent notation and fraction notation.

D. Solve percent problems using proportions.

E. Solve percent problems using basic equations.

F. Solve applications using percents.

VI. Measurement

A. Convert from one unit of measurement to another in the U.S. System.

B. Convert from one unit of measurement to another in the Metric System.

C. Convert between U.S. and metric measurements.

D. Convert between Fahrenheit and Celsius temperature measurements.

E. Solve applications using U.S. and metric measurements.

VII. Geometry

A. Classify angles.

B. Identify supplementary and complementary angles.

C. Identify rectangles, squares, parallelograms, triangles and trapezoids.

D. Calculate the perimeter of polygons.

E. Calculate the circumference of circles.

F. Calculate the area of a rectangle, a square, a parallelogram, a triangle, a trapezoid, and a circle.

G. Calculate the perimeter, circumference, and area of composite figures.

H. Calculate the volume of rectangular solids, circular cylinders, spheres, and circular cones.

I. Define similar figures.

J. Determine if two triangles are similar.

K. Use a proportion to find a missing side of similar triangles.

L. Use the Pythagorean theorem to determine the missing side of a right triangle.

M. Solve applications using geometry.

VIII. Signed Numbers

A. Compare the size of signed numbers using inequality symbols.

B. Evaluate absolute value expressions.

C. Add, subtract, multiply, and divide signed numbers.

D. Apply the rules of order of operation to signed numbers.

E. Solve applications using signed numbers.

IX. Statistics

A. Calculate the mean, median, and mode of a set of numbers.

B. Interpret tables, circle graphs, line graphs and bar graphs.

C. Solve applications using tables, circle graphs, line graphs, and bar graphs.

### Method of Evaluation and Competencies:

40-80% Unit Exams, Unit Papers and/or Unit Projects

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

**The final exam must count at least as much as any unit exam, unit paper or unit project. In any course where unit exams are not proctored, the instructor may require that the student score at least a 70% on the final exam to earn a ‘C’ for the course. At the instructor's discretion, the grade on all or any part of the final exam may replace any lower test score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the prerequisite(s) for this course, a student must earn at least a "C" in the prerequisite course(s) or earn an appropriate score on a placement exam. If a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

JCCC provides a range of services to allow persons with disabilities to participate in educational programs and activities. If you are a student with a disability and if you are in need of accommodations or services, it is your responsibility to contact Access Services and make a formal request. To schedule an appointment with an Access Advisor or for additional information, you may send an email or call Access Services at (913)469-3521. Access Services is located on the 2nd floor of the Student Center (SC 202).

# MATH 014

**Title:**Accelerated Prep for College Math***Number:**MATH 014**Effective Term:**2021-22**Credit Hours:**5**Contact Hours:**5**Lecture Hours:**5

### Requirements:

**Prerequisites:** (MATH 011 with a grade of "B" or higher or MATH 111 with a grade of "B" or higher) or an appropriate score on the math placement test.

### Description:

This accelerated course includes all algebra topics needed to prepare a student for MATH 165, MATH 171, or MATH 173. The course is designed to help students acquire a solid foundation in the required skills of algebra. Students will simplify arithmetic and algebraic expressions, including those containing polynomials, rational expressions, rational exponents, radical expressions and complex numbers; solve linear inequalities; solve equations that are linear, quadratic, and quadratic in form as well as equations containing rational expressions or radicals; graph linear equations and inequalities; graph quadratic equations; and analyze linear equations, functions and non-functions. This course does not fulfill degree requirements.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Simplify arithmetic and algebraic expressions that are polynomials, rational expressions or complex numbers, and expressions that contain radicals or rational exponents.
- Factor algebraic expressions.
- Evaluate functions.
- Solve equations in one variable that are linear, quadratic, quadratic in form, and those containing rational expressions, or radicals.
- Solve equations in more than one variable, including systems of linear equations in two variables and literal equations.
- Solve equations developed from applications.
- Solve linear inequalities in one variable.
- Graph linear equations and inequalities in two variables.
- Construct equations of lines.
- Identify characteristics of functions and non-functions.

### Content Outline and Competencies:

I. Arithmetic and Algebraic Manipulation

A. Evaluate algebraic expressions using the order of operations.

B. Apply the laws of exponents to simplify expressions containing integer and rational exponents.

C. Simplify complex fractions.

D. Perform addition, subtraction, multiplication, and division on polynomial and rational expressions.

E. Factor expressions with common factors, expressions that require grouping, quadratic expressions, quadratic in form expressions, difference of square expressions, and sum and difference of cubes expressions.

F. Apply the laws of radicals to perform addition, subtraction and multiplication.

G. Rationalize denominators containing radicals.

H. Simplify radicals containing negative radicands.

I. Calculate radicals, approximating those that are irrational.

J. Simplify radicals of any order using the product and quotient rules.

K. Perform addition, subtraction, multiplication, and division on complex numbers.

L. Evaluate functions.

M. Calculate the distance between two points using the distance formula.

N. Determine the midpoint between two points.

II. Equations and Inequalities

A. Solve linear equations in one variable.

B. Solve proportion equations.

C. Solve linear inequalities in one variable showing solutions using interval notation, set builder notation and on a number line.

D. Solve literal equations for a given variable.

E. Solve quadratic equations by factoring, using the square root property, completing the square, and the quadratic formula.

F. Solve equations that are quadratic in form.

G. Solve equations containing rational expressions or radicals.

H. Solve systems of linear equations in two variables.

I. Solve applications modeled by equations and systems of equations.

III. Graphs on a Coordinate Plane

A. Graph linear equations by plotting points.

B. Graph linear equations using intercepts.

C. Graph linear equations using the y-intercept and slope.

D. Graph linear inequalities in two variables.

E. Graph quadratic equations emphasizing using x = -b/(2a) to find the vertex and symmetry.

IV. Analysis of Equations and Graphs

A. Identify the x-intercept, y-intercept and slope of a line given its graph.

B. Calculate the slope of a line passing through two given points.

C. Construct an equation of a line given its graph.

D. Construct an equation of a line given its slope and y-intercept.

E. Construct an equation of a line given its slope and a point.

F. Construct an equation of a line given two points.

G. Construct an equation of a line parallel or perpendicular to a given line through a specific point.

H. Construct an equation of a horizontal line.

I. Construct an equation of a vertical line.

J. Determine whether an equation is linear.

K. Distinguish between functions and non-functions using the vertical line test.

L. Identify the domain and range of a relation from a graph.

### Method of Evaluation and Competencies:

40-80% Unit Exams, Unit Papers and/or Unit Projects

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

**The final exam must count at least as much as any unit exam, unit paper

or unit project. In any course where unit exams are not proctored, the

instructor may require that the student score at least a 70% on the final

exam to earn a ‘C’ for the course. At the instructor's discretion,

the grade on all or any part of the final exam may replace any lower test

score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the prerequisite(s) for this course, a student must earn at least a “B” in the prerequisite course(s) or earn an appropriate score on a placement exam. If a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

JCCC provides a range of services to allow persons with disabilities to participate in educational programs and activities. If you are a student with a disability and if you are in need of accommodations or services, it is your responsibility to contact Access Services and make a formal request. To schedule an appointment with an Access Advisor or for additional information, you may send an email or call Access Services at (913)469-3521. Access Services is located on the 2nd floor of the Student Center (SC 202).

# MATH 015

**Title:**Elementary Algebra***Number:**MATH 015**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3 - 5**Lecture Hours:**3

### Requirements:

**Prerequisites:** (MATH 011 with a grade of "C" or higher or MATH 111 with a grade of "C" or higher) or appropriate score on the math placement test.

### Description:

This is a beginning course in algebra, designed to help students acquire a solid foundation in the basic skills of algebra. Students will learn to simplify algebraic expressions, polynomials, rational expressions and square root expressions; solve equations and inequalities, including linear equations and quadratic equations; and graph linear equations. This course is the second in a sequence of courses leading to MATH 116 or higher. This course does not fulfill degree requirements.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Simplify algebraic expressions, polynomials, rational expressions, and square root expressions.
- Factor algebraic expressions.
- Solve linear equations and inequalities.
- Solve quadratic equations.
- Graph linear equations.

### Content Outline and Competencies:

I. Arithmetic and Algebraic Manipulation

A. Evaluate algebraic expressions using the order of operations.

B. Apply the laws of exponents to simplify expressions containing integer exponents.

C. Express numbers in scientific notation.

D. Addition, subtract, multiply, and divide polynomial expressions.

E. Factor expressions with common factors, expressions that require grouping, quadratic expressions, and difference of square expressions.

F. Multiply and divide rational expressions.

G. Calculate square roots, approximating those that are irrational.

H. Simplify square roots using the product and quotient rules.

II. Equations and Inequalities in One Variable

A. Solve linear equations in one variable.

B. Solve proportion equations.

C. Solve linear inequalities in one variable showing solutions using interval notation, set-builder notation, and on a number line.

D. Solve literal equations that do not require factoring.

E. Solve quadratic equations by factoring.

F. Solve quadratic equations by using the square root property.

G. Solve equations developed from number, geometry, proportion, and percent applications.

III. Equations and Graphs in Two Variables

A. Graph linear equations by plotting points.

B. Graph linear equations using intercepts.

C. Graph linear equations using the y-intercept and slope.

D. Identify the x-intercept, y-intercept, and slope of a line given its graph.

E. Construct an equation of a line given its graph.

F. Construct an equation of a line given its slope and y-intercept.

G. Construct an equation of a line given its slope and a point.

H. Construct an equation of a horizontal line.

I. Construct an equation of a vertical line.

J. Determine whether or not an equation is linear.

K. Calculate the slope of a line passing through two given points.

### Method of Evaluation and Competencies:

40-80% Unit Exams, Unit Papers and/or Unit Projects

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

**The final exam must count at least as much as any unit exam, unit paper or unit project. In any course where unit exams are not proctored, the instructor may require that the student score at least a 70% on the final exam to earn a ‘C’ for the course. At the instructor's discretion, the grade on all or any part of the final exam may replace any lower test score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the prerequisite(s) for this course, a student must earn at least a "C" in the prerequisite course(s) or earn an appropriate score on a placement exam. If a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

JCCC provides a range of services to allow persons with disabilities to participate in educational programs and activities. If you are a student with a disability and if you are in need of accommodations or services, it is your responsibility to contact Access Services and make a formal request. To schedule an appointment with an Access Advisor or for additional information, you may send an email or call Access Services at (913)469-3521. Access Services is located on the 2nd floor of the Student Center (SC 202).

# MATH 116

**Title:**Intermediate Algebra***Number:**MATH 116**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3 - 5**Lecture Hours:**3

### Requirements:

**Prerequisites:** (MATH 015 with a grade of "C" or higher or MATH 115 with a grade of "C" or higher) or appropriate score on the math placement test.

### Description:

This course focuses on arithmetic and algebraic manipulation, equations and inequalities, graphs, and analysis of equations and graphs. Students will simplify arithmetic and algebraic expressions, including those containing rational expressions, rational exponents, radicals and complex numbers; solve equations including linear, quadratic, quadratic in form, as well as those containing rational expressions or radicals; graph linear inequalities in two variables; and analyze functions and non-functions.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Factor algebraic expressions.
- Simplify arithmetic and algebraic expressions including those containing rational expressions, rational exponents, radicals, or complex numbers.
- Evaluate functions.
- Use formulas and interpret results.
- Solve equations in one variable including quadratic, quadratic in form, and those containing rational expressions or radicals.
- Solve equations in more than one variable including systems of linear equations and literal equations.
- Solve equations developed from applications.
- Graph quadratic functions and linear inequalities in two variables.
- Construct equations of lines.
- Identify characteristics of functions and non-functions.

### Content Outline and Competencies:

I. Arithmetic and Algebraic Manipulation

A. Factor quadratic in form expressions, sum of cubes expressions, and difference of cubes expressions.

B. Multiply and divide rational expressions containing sum or difference of cubes.

C. Add and subtract rational expressions.

D. Simplify complex fractions.

E. Apply the laws of exponents to simplify expressions containing rational exponents.

F. Apply the laws of radicals to perform addition, subtraction, and multiplication.

G. Rationalize denominators containing radicals.

H. Simplify radicals containing negative radicands.

I. Add, subtract, multiply, and divide complex numbers.

J. Evaluate functions.

II. Equations and Inequalities

A. Solve literal equations that require factoring.

B. Solve systems of linear equations in two variables.

C. Solve quadratic equations by completing the square.

D. Solve quadratic equations by using the quadratic formula.

E. Solve equations that are quadratic in form.

F. Solve equations containing rational expressions.

G. Solve equations containing radicals.

H. Solve equations developed from mixture, motion, work, and geometry applications.

I. Graph linear inequalities in two variables.

III. Equations and graphs

A. Construct an equation of a line given two points.

B. Construct an equation of a line perpendicular to a given line through a specific point.

C. Construct an equation of a line parallel to a given line through a specific point.

D. Graph quadratic equations by emphasizing finding the vertex using x = - b/(2a) and symmetry.

E. Calculate the distance between two points using the distance formula.

F. Determine the midpoint between two points.

G. Distinguish between functions and non-functions using the vertical line test.

H. Identify the domain and range of a relation.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the pre-requisite(s) for this course, a student must earn at least a "C" in the prerequisite course(s) or earn an appropriate score on a placement exam. If a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

# MATH 118

**Title:**Geometry***Number:**MATH 118**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** (MATH 015 with a grade of "C" or higher or MATH 115 with a grade of "C" or higher) or appropriate score on the math placement test.

### Description:

This course is an introductory approach to geometry. Topics will include lines, polygons, area, volume, circles, similarity, and congruence.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Classify geometric figures in two and three dimensions.
- Find the perimeter and area of two-dimensional geometric figures.
- Find the surface area and volume of three-dimensional figures.
- Write deductive proofs.
- Solve applications using geometry.
- Verify the congruence of geometric figures.
- Verify the similarity of geometric figures.
- Construct geometric figures with compass and straightedge.

### Content Outline and Competencies:

I. Geometric Shapes

A. Define points, lines, and planes.

B. Define line segments, rays, and angles.

C. Distinguish between different types of angles.

D. Measure angles with a protractor.

E. Apply properties of vertical, complementary, and supplementary angles.

F. Define triangles and list their types.

G. Define polygons and list their types.

H. Define quadrilaterals and list their types.

I. Compute the angle measures in a polygon.

J. Identify prisms, pyramids, cylinders, cones, and spheres.

K. Identify regular polyhedra and list their types.

II. Perimeter, Area, and Volume

A. Compute the perimeter of a polygon.

B. Compute the circumference of a circle.

C. Compute the area of rectangles, triangles, parallelograms, and trapezoids.

D. Compute the area of a regular polygon.

E. Compute the area of a circle.

F. Compute the length of a missing side in a right triangle.

G. Describe the relationship of sides of a 45°-45°-90° and of a 30°-60°-90° triangle.

H. Compute the surface area of prisms, pyramids, cylinders, cones, and spheres.

I. Compute the volume of prisms, pyramids, cylinders, cones, and spheres.

III. Reasoning

A. Formulate conclusions.

B. Apply conditional statements.

C. Apply equivalent (biconditional) statements.

D. Distinguish between valid and invalid deductions.

E. Write the converse, inverse, and contrapositive of a conditional statement.

F. Write a deductive proof.

IV. Triangles

A. Apply the triangle congruence theorems.

B. Prove two triangles are congruent.

C. Prove corresponding parts of congruent triangles are congruent.

D. Define medians and perpendicular bisectors

E. Apply theorems related to isosceles and equilateral triangles.

F. Apply theorems related to triangle inequalities.

V. Parallel Lines and Quadrilaterals

A. Apply properties of alternate interior, alternate exterior, and corresponding angles.

B. Apply theorems derived from the Parallel Postulate.

C. Prove the Angle Sum in a Triangle Theorem.

D. Apply the Exterior Angle Theorem.

E. Apply theorems related to quadrilaterals to determine side lengths and angle measures.

F. Prove theorems related to quadrilaterals.

VI. Similarity

A. Solve problems related to ratio and proportion.

B. Apply triangle similarity theorems to prove two triangles are similar.

C. Compute the missing part of similar polygons.

D. Apply theorems related to the geometric mean in a right triangle.

E. Apply the Side-Splitting Theorem

VII. Circles

A. Define arc, central angle and inscribed angle.

B. Compute measures of angles and arcs of a circle.

C. Compute areas of sectors and measures of arc length.

D. Define chords and tangents.

E. Compute measures of segments and angles formed by chords.

F. Prove theorems related to circles.

VIII. Constructions

A. Construct segments and angles using a compass and straightedge.

B. Construct perpendicular lines using a compass and straightedge.

C. Construct parallel lines using a compass and straightedge.

D. Subdivide line segments using a compass and straightedge.

E. Construct the center of a circle using a compass and straightedge.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the pre-requisite(s) for this course, a student must earn at least a "C" in the pre-requisite course(s) or earn an appropriate score on a placement exam. If a student is found not to have successfully fulfilled the pre-requisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

# MATH 120

**Title:**Business Mathematics***Number:**MATH 120**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** (MATH 011 with a grade of "C" or higher or MATH 111 with a grade of "C" or higher) or appropriate score on the math placement test.

### Description:

This is a course for the student who needs specific skills in mathematics to address business problems and business applications. Students will learn the mathematics involved in payroll, retailing, asset valuation, interest, finance, and the time value of money. Students will use a calculator and computer to solve a variety of applications.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Solve percent problems.
- Apply mathematics to payroll situations.
- Apply mathematics to retail situations.
- Apply mathematics to finance situations.
- Apply mathematics to the valuation of assets.
- Use a financial calculator and a computer to apply mathematics to business problems.

### Content Outline and Competencies:

I. The Mathematics of Percents

A. Solve for base, rate, or part in a basic percent problem.

B. Solve for the old or new value in a percent increase problem.

C. Solve for the old or new value in a percent decrease problem.

II. The Mathematics of Payroll

A. Given an hourly wage with an overtime policy, find the gross pay.

B. Given a commission structure or a piecework rate, find the gross pay.

C. Use the Percentage Method to calculate federal and state withholding tax.

D. Calculate FICA taxes.

E. Calculate federal and state unemployment taxes.

F. Calculate an employee’s net pay.

G. Calculate the cost of employment to an employer.

H. Use a computer to analyze the effect of taxes on gross pay.

III. The Mathematics of Retailing

A. Analyze an invoice with key abbreviations.

B. Calculate trade, series, and cash discounts.

C. Calculate markup based on cost.

D. Calculate markup based on selling price.

E. Calculate markdowns.

F. Calculate the adjusted cost when shrinkage is present.

G. Calculate the net profit.

H. Calculate operating loss and absolute loss.

I. Calculate the amount of operating expenses from the percent.

J. Calculate the break-even point.

IV. The Mathematics of Finance and the Simple Interest Formula

A. Find the interest earned using the simple interest formula.

B. Solve for principal, rate, or time in a simple interest problem.

C. Calculate the interest, the proceeds, and the maturity value on a simple interest note or a simple discount note.

D. Determine the effective rate (APR) of a note.

E. Compute the payoff amount on a loan or note using the actuarial method.

V. The Mathematics of Finance and Time Value of Money Problems

A. Use the financial calculator to find the future value, initial value, time, or rate of a lump sum deposit problem.

B. Use the financial calculator to find the future value, initial value, periodic payment, time, or rate of a savings plan.

C. Use the financial calculator to find the future balance, present balance, periodic payment, time, or rate of a loan.

D. Calculate the total interest earned in a time value of money problem.

E. Calculate the present value of an annuity.

F. Use a computer to solve and analyze time value of money applications for both savings plans and loans.

VI. The Valuation of Assets

A. Determine the value of ending inventory using Average Cost (Weighted Average), FIFO, and LIFO.

B. Use the straight line depreciation method to find the value of an asset.

C. Use the double declining balance depreciation method to find the value of an asset.

D. Use the units of production depreciation method to find the value of an asset.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the prerequisite(s) for this course, a student must earn at least a "C" in the prerequisite course(s) or earn an appropriate score on a placement exam. If a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

# MATH 130

**Title:**Technical Mathematics I***Number:**MATH 130**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** (MATH 011 with a grade of "C" or higher or MATH 111 with a grade of "C" or higher) or an appropriate score on the math placement test.

### Description:

This course is the first of a two-semester sequence that will introduce the mathematical skills and concepts necessary in technical work. It will focus on the basics of algebra, geometry and their applications. Topics will include operations with polynomials, linear equations, systems of equations, formulas, basic geometry, and Boolean algebra.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Simplify numerical and algebraic expressions.
- Solve linear equations and systems of linear equations.
- Graph linear equations.
- Solve problems using geometric properties and formulas.
- Manipulate formulas including those used in technical work.
- Construct truth tables by using Boolean algebra.

### Content Outline and Competencies:

I. Numeric Expressions

A. Describe the properties of the real number system.

B. Use the order of operations for the real number system to simplify mathematical expressions.

C. Simplify expressions involving exponents and radicals.

D. Determine the number of significant digits in a number.

E. Convert numbers in standard notation to and from scientific notation and engineering notation.

F. Define ratio and proportion.

G. Use conversion factors to convert various units of measure.

H. Measure using a ruler.

II. Algebraic Expressions

A. Add and subtract polynomials.

B. Multiply polynomials.

C. Divide polynomials.

D. Evaluate algebraic expressions.

III. Linear Equations

A. Solve linear equations.

B. Solve formulas for a particular variable, including those used in technical work.

C. Solve a proportion for a missing term.

D. Solve a system of two or three equations by algebraic methods.

IV. Basic Geometry Skills

A. Define parallel lines and angles formed by a transversal; use these concepts to determine unknown angles.

B. Classify triangles.

C. Calculate area and perimeter of polygons.

D. Calculate area and circumference of circles.

E. Calculate volume and surface area of geometric solids.

V. Graphing

A. Plot points on the rectangular coordinate system.

B. Graph straight lines.

C. Define the slope of a line; use the slope to graph a line.

D. Solve a system of equations by graphing.

VI. Logic

A. Understand Venn diagrams.

B. Construct truth tables.

C. Evaluate using Boolean algebra.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

Total: 100%

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 131

**Title:**Technical Mathematics II***Number:**MATH 131**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** MATH 130 with a grade of "C" or higher.

### Description:

This course is the second of a two-semester sequence on the mathematical skills and concepts necessary in technical work. It will focus on more advanced algebraic skills, solving equations, and trigonometry. The topics will include polynomials, rational expressions, radical expressions, complex numbers, solving quadratic, rational, radical, exponential and logarithmic equations, and working with basic trigonometry.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Factor polynomials.
- Simplify and perform operations with rational expressions, radical expressions and complex numbers.
- Solve quadratic, rational, radical, exponential and logarithmic equations.
- Use basic trigonometry.

### Content Outline and Competencies:

I. Algebraic Skills

A. Factor polynomials.

1. Factor using greatest common factor.

2. Factor using grouping.

3. Factor trinomials.

4. Factor using the difference of squares.

B. Simplify rational and radical expressions.

C. Perform operations with rational expressions, radical expressions and complex numbers.

D. Convert between exponential and logarithmic notation.

E. Expand and condense logarithmic expressions using properties of logarithms.

II. Equations

A. Solve quadratic equations by factoring and by the quadratic formula.

B. Solve problems involving direct, inverse and joint variation.

C. Solve equations involving rational expressions.

D. Solve equations involving radical expressions.

E. Solve exponential equations.

F. Solve logarithmic equations.

III. Trigonometry

A. Define trigonometric functions using both a unit circle and a right triangle.

B. Define angle measurement in both radians and degrees.

C. Evaluate trigonometric functions of any angle.

D. Define inverse trigonometric functions.

E. Solve right triangles for missing parts.

F. Solve application problems using right triangle trigonometry.

G. Define vectors.

H. Perform operations with vectors.

I. Solve oblique triangles for missing parts using the Law of Sines and the Law of Cosines.

J. Solve application problems using the Law of Sines and the Law of Cosines.

K. Graph transformations of the sine and cosine functions.

### Method of Evaluation and Competencies:

40-80% Unit Exams, Unit Papers, and/or Unit Projects

0-50% Homework, Quizzes, and/or Small Projects

20-40% Final Exam**

**The final exam must count at least as much as any unit exam, unit paper or unit project. In any course where unit exams are not proctored, the instructor may require that the student score at least a 70% on the final exam to earn a 'C' for the course. At the instructor's discretion, the grade on all or any part of the final exam may replace any lower test score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 165

**Title:**Finite Mathematics***Number:**MATH 165**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** (MATH 014 with a grade of "C" or higher or MATH 114 with a grade of "C" or higher) or MATH 116 with a grade of "C" or higher or an appropriate score on the math placement test.

### Description:

This course will emphasize the beauty, scope, practical applications and relevance of mathematics. It is designed to involve the students with the concepts as well as quantitative skills. Topics include set theory, symbolic logic, deductive reasoning, probability, statistics, mathematics of finance, systems of equations, matrix algebra and linear programming.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Apply set theory to practical applications.
- Determine the truth value of statements.
- Determine the validity of logical arguments.
- Use probability as a tool for predicting outcomes.
- Solve financial applications.
- Solve systems of equations and inequalities.
- Solve linear programming applications.
- Calculate statistical measures of a data set.

### Content Outline and Competencies:

I. Set Theory

A. Model set problems with Venn diagrams.

B. Use set operations to calculate union, intersection, complement and cardinality of sets.

C. Identify subsets.

II. Logic and Deductive Reasoning

A. Define conjunction, disjunction and negation of statements.

B. Determine the truth value of simple and compound statements using truth tables.

C. Write the converse, inverse and contrapositive of a conditional statement.

D. Determine the validity of an argument using direct, indirect and transitive reasoning.

III. Probability

A. Use probability notation including the "or" condition and the "and" condition.

B. Determine whether or not two events are mutually exclusive.

C. Calculate conditional probabilities.

D. Use counting formulas to determine permutations and combinations.

IV. Statistics

A. Calculate mean, median, mode and standard deviation of a data set.

B. Calculate expected value.

C. Interpret statistical graphs.

V. Mathematics of Finance

A. Calculate simple and compound interest.

B. Calculate the value of an annuity.

C. Calculate the annual percentage rate.

D. Analyze an amortization schedule.

VI. Systems of Equations and Matrix Algebra

A. Use linear functions to model applications.

B. Solve systems of linear equations in two or more variables.

C. Identify the dimension of a matrix.

D. Use matrix operations (addition, multiplication and scalar multiplication) to calculate resultant matrices.

E. Use Gaussian elimination to solve an augmented matrix.

VII. Linear Programming

A. Graph systems of inequalities with all points of intersection.

B. Determine the constraints and the objective function of a linear programming problem.

C. Solve a linear programming application graphically.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

**The final exam must count at least as much as any unit exam, unit paper or unit project. In any course where unit exams are not proctored, the instructor may require that the student score at least a 70% on the final exam to earn a C for the course. At the instructor's discretion, the grade on all or any part of the final exam may replace any lower test score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 171

**Title:**College Algebra***Number:**MATH 171**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3 - 5**Lecture Hours:**3

### Requirements:

**Prerequisites:** (MATH 014 with a grade of "C" or higher or MATH 114 with a grade of "C" or higher) or MATH 116 with a grade of "C" or higher or appropriate score on the math placement test.

### Description:

This course focuses on the study of functions and their graphs, techniques of solving equations, and applications. Students will analyze and graph non-functions and functions, including constant, linear, quadratic, piecewise-defined, absolute value, square root, polynomial, rational, exponential, and logarithmic functions; solve equations, including polynomial, absolute value, radical, rational, exponential, logarithmic, and systems of linear equations; solve inequalities, including absolute value, polynomial, rational, and systems of linear inequalities; and apply functions in real-world situations.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Analyze functions and non-functions and their graphs.
- Sketch the graphs of circles and functions, including constant, linear, piecewise-defined, absolute value, square root, polynomial, rational, exponential and logarithmic.
- Solve equations including polynomial, absolute value, radical, rational, exponential and logarithmic equations.
- Solve systems of equations and systems of linear inequalities.
- Solve inequalities including absolute value, polynomial and rational inequalities.
- Create mathematical models to solve application problems and make predictions.

### Content Outline and Competencies:

I. Analysis and Graphing of Functions and Non-Functions

A. Use function notation.

B. Recognize equations of functions and non-functions.

C. Use concepts of symmetry, intercepts, left to right behavior, asymptotes, and transformations to sketch graphs of functions (constant, linear, quadratic, piecewise-defined, absolute value, square root, cubic, polynomial, rational, exponential, and logarithmic) and non-functions (circles).

D. Determine the domain and range of a function.

E. Write the equation of a function (constant, linear, quadratic, absolute value, square root, cubic, polynomial, rational, exponential, and logarithmic) given its description.

F. Construct an equation of a circle in standard form using:

1. The center and radius.

2. The endpoints of the diameter.

3. The method of completing the square.

G. Use graphs of functions for analysis.

H. Find combinations and composites of functions.

I. Find inverses of functions.

II. Solutions of equations and inequalities

A. Solve quadratic equations.

B. Solve equations involving rational expressions, radicals and absolute value expressions.

C. Solve polynomial equations.

D. Solve exponential equations.

E. Solve logarithmic equations.

F. Solve polynomial, absolute value and rational inequalities.

G. Solve systems of linear equations in three variables by various methods including matrices.

H. Solve systems of linear inequalities by graphing.

III. Applications to Real-World Situations

A. Apply equations to real-world situations, including but not limited to depreciation, growth and decay, and max/min problems.

B. Examine and analyze data, make predictions and interpretations, and do basic modeling.

### Method of Evaluation and Competencies:

40-80% Unit Exams, Unit Papers and/or Unit Projects

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam*

*The final exam must count at least as much as any unit exam, unit paper or unit project. In any course where unit exams are not proctored, the instructor may require that the student score at least a 70% on the final exam to earn a ‘C’ for the course. At the instructor's discretion, the grade on all or any part of the final exam may replace any lower test score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 171H

No information found.# MATH 172

**Title:**Trigonometry***Number:**MATH 172**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** MATH 171 with a grade of "C" or higher or appropriate score on the math placement test.

### Description:

This is a course in trigonometric functions and graphs. Emphasis will be on understanding function notation, definitions, algebraic relations, real-world applications, graphing in the real and complex plane, inverse functions, polar functions and vectors.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Define trigonometric functions for angles in standard position, in right triangles, and using the unit circle.
- Analyze the graphs of trigonometric, inverse trigonometric, and polar functions.
- Verify trigonometric identities.
- Solve trigonometric equations.
- Solve right and oblique triangles using trigonometric formulas.
- Calculate products, quotients, and powers of complex numbers in trigonometric form.
- Apply trigonometry to real-world situations.

### Content Outline and Competencies:

I. The Six Trigonometric Functions

A. Determine the six trigonometric functions of an angle in standard position.

B. Determine the six trigonometric functions of an angle in a right triangle.

C. Determine the six trigonometric functions of an angle using the unit circle.

D. Calculate the six trigonometric functions of an angle using a calculator.

E. Determine exact values of the six trigonometric functions given an angle which is a multiple of 30°, 45°, 60°, or 90°.

II. Graphs

A. Analyze the graphs of the six basic trigonometric functions.

B. Graph transformations of trigonometric functions using the concepts of period, phase shift, amplitude and displacement.

C. Determine the equation of a function given its graph.

D. Convert from rectangular to polar coordinates and vice versa.

E. Convert equations from rectangular to polar form and vice versa.

F. Graph polar equations.

III. Inverse Trigonometric Functions

A. Evaluate inverse trigonometric functions with and without a calculator.

B. Evaluate expressions involving inverse trigonometric functions.

C. Graph inverse trigonometric functions, stating the domain and range.

IV. Trigonometric Identities

A. Simplify trigonometric expressions using trigonometric identities.

B. Verify trigonometric identities.

C. Evaluate function values using sum, difference, double, and half angle identities.

V. Trigonometric Equations

A. Solve trigonometric equations on a given interval in degrees or radians.

B. Solve trigonometric equations for all angle solutions.

VI. Solving Triangles

A. Solve triangles using trigonometric ratios, the Law of Sines, or the Law of Cosines.

B. Apply the solutions of triangles to real-world problems.

VII. Complex Numbers in Trigonometric Form

A. Graph in the complex plane.

B. Convert complex numbers from standard form to trigonometric form and vice versa.

C. Calculate products, quotients, and powers of complex numbers in trigonometric form.

VIII. Applications

A. Solve applications involving angles of elevation and depression.

B. Calculate the length of an arc and the area of a sector of a circle.

C. Determine the magnitude and direction of vectors.

D. Calculate the sum, difference, dot product, and angle between two vectors.

E. Apply vectors to real-world problems.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

Total: 100%

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 172H

No information found.# MATH 173

**Title:**Precalculus***Number:**MATH 173**Effective Term:**2021-22**Credit Hours:**5**Contact Hours:**5**Lecture Hours:**5

### Requirements:

**Prerequisites:** (MATH 014 with a grade of "C" or higher or MATH 114 with a grade of "C" or higher) or MATH 116 with a grade of "C" or higher or appropriate score on the math placement test.

### Description:

MATH 173 is an accelerated course recommended for students with a strong high school math background (three to four years) who plan to take calculus. This course focuses on the study of functions and their graphs, solving equations and inequalities, recognition and creation of patterns, and the use of mathematical models. Included in the course are linear, power, polynomial, rational, radical, exponential, logarithmic, trigonometric and absolute value functions.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Communicate algebraic and graphical information contained in mathematical models.
- Identify and represent functions using words, data on a table, points on a graph or a formula.
- Identify appropriate domains and ranges.
- Build and use piecewise functions, compose functions, combine functions, and create, use and interpret inverse functions.
- Apply mathematical functions to model real world phenomena.
- Solve problem situations that are represented using a description, a table of values, a graph or a formula.
- Demonstrate skills necessary to transition into calculus.

### Content Outline and Competencies:

I. Concepts of Functions in Context

A. Interpret a problem solution in context of a situation.

B. Discuss appropriate notation for different contexts.

C. Label answers including units and possible description in context.

D. Calculate and interpret the average rate of change for a given problem situation.

E. Describe the relationship between a function and its inverse.

F. Interpret an inverse function and inverse function values in context.

II. Elementary Functions

A. Determine whether a relation represented using words, a table of values, a graph or a formula is a function.

B. Convert from one representation of a function to another.

C. Use function notation to symbolically represent functions.

D. Graph parent functions including linear, power, polynomial, rational, radical, exponential, logarithmic, trigonometric and absolute value functions.

E. Apply the concepts of symmetry, intercepts, long-run behavior, periodic behavior, asymptotes, transformations, and maximums and minimums to analyze and graph functions.

F. Use a graphing calculator or computer-generated graphs of functions for analysis.

III. Domain and Range

A. State the domains and ranges of parent functions including linear, power, polynomial, rational, radical, exponential, logarithmic, trigonometric, inverse trigonometric and absolute value functions.

B. Use the domains and ranges of the parent functions and the ideas of transformations, symmetry, periodic behavior, asymptotes and pattern recognition to determine the domains and ranges of general functions.

C. Connect the domains and ranges of functions with combinations, compositions and inverse functions.

IV. Function Relationships and Operations

A. Find combinations and compositions of functions represented using a description, a table of values, a graph or a formula.

B. Use and create piecewise-defined functions for a given problem situation.

C. Represent an absolute value function as a piecewise defined function.

D. Relate the concept of an inverse function to function composition, one-to-one functions and domain/range relationships.

E. Find inverse functions.

F. Use inverse function notation.

G. Use function composition to verify an inverse function relationship.

H. Graph an inverse function.

V. Real World Applications through Modeling

A. Determine a valid domain and range for situations represented in words, a table of values, a graph or a formula.

B. Use a given mathematical model to analyze a problem.

C. Write a mathematical model for a problem situation represented as a description, a table of values or a graph.

D. Use a mathematical model to make predictions.

E. Compare and contrast linear, exponential and logarithmic growth models.

F. Use right triangle trigonometry, the law of sines, and the law of cosines to solve problems.

VI. Problem Solving

A. Develop proficiency in solving equations both by hand and with appropriate technology using pattern recognition, inverse function relations or other algebraic techniques.

B. Recognize techniques that potentially introduce extraneous solutions.

C. Solve polynomial equations emphasizing the root-factor relationship and the number of expected solutions based on the fundamental theorem of algebra.

D. Solve exponential and logarithmic equations.

E. Solve trigonometric equations using methods including algebraic techniques, inverse trigonometric functions, memorization of basic trigonometric values, trigonometric identities and the use of technology.

F. Analyze graphs of non-linear systems of equations to determine the number of solutions.

VII. Calculus Transition Topics

A. Evaluate the difference quotient and interpret it in the context of a problem situation.

B. Verify trigonometric identities, including reciprocal identities, Pythagorean identities, sum, difference, double and half-angle identities.

C. Graph circles.

D. Sketch simple polar graphs.

E. Use technology to approximate trigonometric function values.

F. Perform binomial expansions through pattern recognition and use of the binomial theorem.

G. Investigate concavity as a rate of change.

H. Define a radian and use radian measures.

I. Generate sequences and associated sums using simple patterns and determine their formulas.

J. Find general terms of sequences with emphasis on appropriate notation.

K. Use sigma notation to express series.

L. Graph the inverse sine, inverse cosine and inverse tangent functions.

M. Graph solution sets for systems of non-linear inequalities.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

**The final exam must count at least as much as any unit exam, unit paper or unit project. In any course where unit exams are not proctored, the instructor may require that the student score at least a 70% on the final exam to earn a C for the course. At the instructor's discretion, the grade on all or any part of the final exam may replace any lower test score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the prerequisite(s) for this course, a student must earn at least a C in the prerequisite course(s) or earn an appropriate score on a placement exam. If a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

# MATH 173H

No information found.# MATH 175

**Title:**Discrete Mathematics and its Applications***Number:**MATH 175**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** MATH 171 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher or appropriate score on the math placement test.

### Description:

This course is designed to present the beauty, scope, practical applications and relevance of mathematics. It will focus on applications of general interest drawn primarily from the social and biological sciences and business. Topics will be placed in a historical context, and mathematical reasoning will be stressed.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Construct mathematical models using graphs, trees, sequences, and matrices.
- Determine Eulerian and Hamiltonian paths and circuits.
- Utilize graph theory to find efficient solutions to routing and networking problems.
- Analyze selection methods in light of fairness criteria.
- Find terms of sequences, both explicitly and recursively, and sums of sequences.
- Compare and contrast apportionment methods.
- Perform matrix operations.
- Develop and solve linear programming problems graphically.
- Place discrete mathematical topics in their historical context.

### Content Outline and Competencies:

I. Graphs and Trees

A. Define Euler paths and circuits.

B. Identify Euler paths and circuits

C. Define Hamilton paths and circuits.

D. Identify Hamilton paths and circuits.

E. Determine optimal solutions to routing problems.

F. Define network.

G. Define spanning tree.

H. Determine optimal solutions to network problems.

I. Discuss Euler’s and Hamilton’s contributions to graph theory

II. Social Choice

A. Introduce mathematically-oriented voting methods.

B. Define ballot counting.

C. Define voting methods.

D. Determine election winners and rankings.

E. Define voting power.

F. Calculate the Banzhaf power distribution.

G. Define apportionment.

H. Calculate a solution to apportionment problems.

I. Discuss the effect of apportionment methods in the U.S. Congress.

III. Sequences and Recursion

A. Determine the terms of a sequence, both explicitly and recursively.

B. Determine the terms of the Fibonacci sequence.

C. Determine the sums of sequences.

D. Describe populations using linear and exponential growth models.

E. Apply linear and exponential growth models to financial applications.

F. Define fractals and the Mandelbrot Set.

IV. Matrices

A. Define matrix operations.

B. Utilize matrices to solve systems of equations.

C. Define a linear programming problem.

D. Calculate solutions to linear programming problems using the graph of the feasible region.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

Total: 100%

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 181

**Title:**Statistics***Number:**MATH 181**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** MATH 171 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher or appropriate score on the math placement test.

### Description:

This is a beginning course in statistical analysis, the skill of making sense of raw data, constructing graphical representations of data, developing models for making predictions, performing tests to determine significant change and finding intervals for population values. Students will learn the basics of descriptive statistics, probability, sampling, confidence intervals, distributions, hypothesis testing, regression and correlation. Use of technology will be incorporated into course topics.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Use basic descriptive statistics to describe the distribution of univariate data indicating shape, center and spread.
- Use appropriate rules and properties to determine the probability of events.
- Perform calculations using the General Normal Distribution.
- Explain the importance of random sampling and the Central Limit Theorem for use in inferential statistics.
- Use inferential statistics to estimate population parameters and perform hypothesis testing.
- Display and analyze bivariate data using correlation and regression analysis.
- Use technology to display and analyze data sets.

### Content Outline and Competencies:

I. Descriptive Statistics

A. Define and distinguish between qualitative (categorical) and quantitative (numerical) data.

B. Distinguish between data from an observational study and data from a designed experiment.

C. Construct appropriate graphical displays of qualitative (categorical) and quantitative (numerical) data such as dotplots, histograms, box plots, bar charts, pie charts or scatterplots.

D. Describe the general shape of data such as skewed left, skewed right, normal, symmetric or others.

E. Calculate the measures of center including mean, median and mode.

F. Calculate the measures of spread including standard deviation, range and interquartile range.

G. Use a statistical package on a graphics calculator or a computer to enter data and analyze results.

H. Determine potential outliers in a distribution.

I. Use the General Normal Distribution to calculate probabilities and percentiles.

II. Introduction to Probability

A. Solve basic probability problems.

B. Determine whether or not two events are independent.

C. Calculate and explain, in context, a conditional probability.

III. General Normal Distribution

A. Use the General Normal Distribution to solve problems involving random variables.

B. Use the normal distribution to solve percentile or measurement value problems.

IV. Random Sampling and Sampling Theory

A. Describe the shape, center, and spread for the distribution of the samples of a single variable.

B. Verify that the conditions are met to use the Central Limit Theorem.

V. Confidence Intervals

A. Construct confidence intervals for a population mean and the difference of two population means, and interpret them in context.

B. Construct confidence intervals for a population proportion and the difference of two population proportions, and interpret them in context.

VI. Hypothesis Tests

A. Perform hypothesis tests for a population mean and the difference of two population means, and interpret the results.

B. Perform hypothesis tests for a population proportion and the difference of two population proportions, and interpret the results.

C. Perform a hypothesis test for two or more categories using the Chi-square distribution.

D. Explain Type I error, Type II error, p-value, and significance level in context.

VII. Linear Regression

A. Draw a scatterplot in order to observe any association between two variables.

B. Calculate a linear regression equation.

1. Interpret the regression equation parameters in terms of the problem.

2. Use the linear regression equation to make predictions.

3. Calculate the linear correlation coefficient and interpret its meaning.

4. Calculate the coefficient of determination and interpret its meaning.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

**The final exam must count at least as much as any unit exam, unit paper or unit project. In any course where unit exams are not proctored, the instructor may require that the student score at least a 70% on the final exam to earn a “C” for the course. At the instructor's discretion, the grade on all or any part of the final exam may replace any lower test score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 181H

No information found.# MATH 191

**Title:**Math and Physics for Games I***Number:**MATH 191**Effective Term:**2021-22**Credit Hours:**4**Contact Hours:**5**Lecture Hours:**3**Lab Hours:**2

### Requirements:

**Prerequisites:** (MATH 171 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher or appropriate score on math placement test) and GAME 121.

### Description:

This introductory course focuses on the mathematics and physics concepts needed to program a variety of video game scenarios. Students will learn to use vectors and matrix transformations to model the motion of physical objects in two and three dimensions. Students will also learn various computer programming methods in order to model these mathematical and physical concepts. MATH 191 and PHYS 191 are the same course; enroll in only one.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Locate, describe and transform objects in two and three dimensions.
- Model linear motion kinematics and dynamics.
- Detect and resolve collisions between objects.
- Model rotational motion kinematics and dynamics.
- Construct code to carry out the basic functions of a physics engine.

### Content Outline and Competencies:

I. Vector Algebra and Transformations

A. Use trigonometry to determine the components and direction angles of a vector.

B. Compare the concepts of scalar and vector.

C. Compute vector arithmetic graphically and numerically.

D. Compute the angle between two vectors.

E. Normalize vectors.

F. Compute the normal vector to a surface.

G. Construct code that will perform vector arithmetic and normalization.

H. Convert between polar and rectangular coordinates.

I. Convert units of measurement.

J. Compute matrix arithmetic graphically and numerically.

K. Describe scaling using matrices and homogeneous coordinates.

L. Construct code that will perform scaling on vectors and geometric objects using matrices.

II. Linear Motion

A. Compute distance, displacement, velocity, speed and acceleration for one-dimensional motion.

B. Use vectors to describe displacements, velocities and accelerations in two and three dimensions.

C. Use Newton's Laws to determine the effect of forces on the motion of an object.

D. Derive and solve the equations of motion of an object.

E. Calculate the work done by a force on an object.

F. Calculate the kinetic energy, potential energy, and momentum of an object.

G. Compute the force vector acting on an object resulting from a scalar potential energy field.

H. Describe the Forward Euler and Velocity Verlet integration methods.

I. Compare the advantages and disadvantages of the Forward Euler and Velocity Verlet integration methods.

J. Construct code that can simulate the motion of an object according to Newton’s Laws of Motion.

K. Describe translations using matrices and homogeneous coordinates.

L. Construct code that will perform translation on vectors and geometric objects using matrices.

III. Collision Detection and Resolution

A. Determine the distance between an object and a line or plane.

B. Construct code that will compute the distance between an object and a line or plane.

C. Determine if two circles or two spheres are intersecting.

D. Calculate the point of intersection of two line segments.

E. Determine if two axially-aligned bounding boxes are intersecting.

F. Construct code that will detect collisions between circles, spheres, axially aligned bounding boxes and line segments.

G. Use conservation of energy and conservation of momentum to model the collision of objects.

H. Construct code that can simulate the collision between two objects.

IV. Rotational Motion

A. Describe rotations using matrices and homogeneous coordinates.

B. Construct code that will rotate an object using matrices.

C. Compute angular displacement, angular velocity and angular acceleration.

D. Determine the angular motion caused by a torque on an object.

E. Calculate the rotational kinetic energy and angular momentum of a rotating object.

F. Construct code that can model the two-dimensional motion of a rigid body incorporating the concepts of the conservation of energy and momentum and Newton’s Laws of Motion.

G. Compute quaternion arithmetic numerically.

H. Construct code that will rotate an object using quaternions.

### Method of Evaluation and Competencies:

40-80% Unit Exams, Unit Papers, and/or Unit Projects

10-50% Homework, Quizzes, and/or Small Projects

20-40% Final Exam

The final exam must count at least as much as any unit exam, unit paper or unit project. In any course where unit exams are not proctored, the instructor may require that the student score at least a 70% on the final exam to earn a ‘C’ for the course. At the instructor's discretion, the grade on all or any part of the final exam may replace any lower test score. No student may be exempt from the final exam. Any student not taking the final exam will receive a score of zero for the final exam.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

- The majority of mathematics courses are sequential. Students must earn a grade of C or higher in a prerequisite mathematics course to progress to its subsequent mathematics course.
- Computer Literacy Expectations: Students will need basic word processing, Internet searching, and object-oriented coding skills for the completion of some papers, exercises and projects.
- In accordance with the assertion made on your billing statement, during the first two weeks of the semester, if a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course. He/she will be allowed to enroll in the appropriate lower level course on a space available basis with an even exchange of tuition. After the first two weeks, students who have not met the prerequisite(s) will be dropped from the course with no refund of tuition.

### Student Responsibilities:

### Disabilities:

# MATH 191H

No information found.# MATH 210

**Title:**Mathematics for Elementary Teachers I***Number:**MATH 210**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** MATH 171 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher or appropriate score on math placement test.

### Description:

This is the first of a two-course sequence for prospective teachers of elementary and middle school mathematics. The focus of this course is an in-depth investigation of the mathematical principles and concepts encountered in grades K-8. Topics include set theory, numeration systems, number sense, critical thinking, and problem-solving strategies. The use of appropriate techniques and tools, such as calculators, computers and manipulatives, will be integrated throughout the course in order to enhance the depth of understanding.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Apply set theory concepts.
- Demonstrate an understanding of numbers, ways of representing numbers, relationships among numbers, and number systems.
- Demonstrate an understanding for whole number, integer, fraction and decimal operations.
- Explain whole number, integer, fraction and decimal algorithms.
- Demonstrate the use of factors, multiples, and prime factorization to solve problems.
- Use strategies of estimation to judge the reasonableness of results.
- Demonstrate the use of the place-value structure of the base 10 number system.
- Describe mathematical relationships and functions with tables, graphs and rules.
- Apply ratios, proportions and percents in problem solving.
- Describe how various cultures have impacted the historical development of mathematics.
- Identify characteristics of functions.

### Content Outline and Competencies:

I. Set Theory

A. Determine if two sets are equal or equivalent.

B. Write the subsets and proper subsets of a given set.

C. Find the intersection of two sets.

D. Find the union of two sets.

E. Find the complement of a set.

F. Use Venn diagrams to determine the validity of a set statement.

G. Solve applications using Venn Diagrams.

II. Whole Numbers

A. Use the definitions of whole number operations to explain the elementary processes of addition, subtraction, multiplication and division.

B. Identify the properties of whole number addition and multiplication, such as closure, commutativity, associativity, distributive property and identity element.

C. Model situations that involve whole numbers using objects, pictures and symbols.

D. Estimate the results of whole number calculations.

E. Use a variety of problem-solving strategies and critical thinking skills with applications involving whole numbers.

F. Apply the definition and properties of exponents to whole numbers.

G. Use order of operations when evaluating expressions.

III. Integers

A. Use the definitions of integer operations to explain the processes of addition, subtraction, multiplication and division.

B. Identify the properties of integer addition such as closure, commutativity, associativity, identity element and additive inverse.

C. Identify the properties of integer multiplication such as closure, commutativity, associativity, distributive property, zero multiplication and identity element.

D. Demonstrate operations on integers using manipulatives.

E. Use a variety of problem-solving strategies and critical thinking skills with applications involving integers.

IV. Number Theory

A. Use divisibility tests to determine if a given number is divisible by another.

B. Classify numbers as prime or composite or neither.

C. Apply the Fundamental Theorem of Arithmetic.

D. Use the Sieve of Eratosthenes to find the primes less than 100.

E. Find the greatest common divisor and the least common multiple of numbers using a variety of methods.

V. Rational Numbers

A. Write fractions in simplest form.

B. Determine if fractions are equivalent.

C. Arrange a set of fractions in numerical order.

D. Use the definitions and properties of addition, subtraction, multiplication and division of fractions.

E. Express ratios as fractions in simplest form.

F. Solve for the missing term of a proportion.

G. Demonstrate operations on fractions using manipulatives.

H. Use a variety of problem-solving strategies and critical thinking skills with applications involving fractions.

VI. Decimal Numbers

A. Write decimal numbers in expanded form.

B. Convert from standard decimal notation to scientific notation and vice versa.

C. Arrange decimal numbers in numerical order.

D. Use standard algorithms to add, subtract, multiply and divide decimal numbers.

E. Round decimal numbers to a specified place value.

F. Convert a fraction to a decimal number.

G. Convert repeating decimal numbers and terminating decimal numbers to fractions.

H. Convert numbers in percent form to fractional or decimal form and vice versa.

I. Use a variety of problem-solving strategies and critical thinking skills with decimal and percent applications.

VII. Numeration Systems

A. Convert Roman numerals to Hindu-Arabic numerals and vice versa.

B. Convert Egyptian numerals to Hindu-Arabic numerals and vice versa.

C. Convert Babylonian numerals to Hindu-Arabic numerals and vice versa.

D. Convert Mayan numerals to Hindu-Arabic numerals and vice versa.

E. Write Hindu-Arabic numerals in expanded form.

F. Convert numerals from one base system to another.

G. Trace the historical development of the Hindu-Arabic number system.

VIII. Functions and Relations

A. Identify relations as functions.

B. Identify the domain and range of functions.

### Method of Evaluation and Competencies:

40-80% Unit Exams, Unit Papers, and/or Unit Projects

0-50% Homework, Quizzes, and/or Small Projects

20-40% Final Exam

The final exam must count at least as much as any unit exam, unit paper or unit project. At the instructor’s discretion, the grade on all or any part of the final exam may replace any lower test score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the pre-requisite(s) for this course, a student must earn at least a "C" in the pre-requisite course(s) or earn an appropriate score on a placement exam. If a student is found not to have successfully fulfilled the pre-requisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

# MATH 212

**Title:**Math for Elementary Teachers II***Number:**MATH 212**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** MATH 210 with a grade of "C" or higher or department approval.

### Description:

This is the second of a two-course sequence for prospective teachers of elementary/middle school mathematics. The focus of this course is an in-depth investigation of the mathematical principles and concepts encountered in grades K-8. Topics include probability, statistics, measurement, and shapes including congruency, similarity, and transformations. The use of appropriate techniques and tools, such as calculators, computers, and manipulatives, will be integrated throughout the course in order to enhance the depth of understanding.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Demonstrate an understanding of elementary probability.
- Demonstrate an understanding of elementary statistics.
- Demonstrate an understanding of measurement systems and conversion of units.
- Demonstrate an understanding of the attributes of geometric shapes.
- Demonstrate an understanding of the relationship between geometric shapes through similarity, congruence and constructions.
- Demonstrate an understanding of motion geometry.

### Content Outline and Competencies:

I. Probability

A. Determine the probability of outcomes of simple experiments.

B. Determine the probability of outcomes of complex experiments.

C. Determine the probability of events involving conditional probability.

D. Determine the odds in favor of and against different events.

E. Determine the expected value of an experiment.

F. Solve problems involving the concepts of permutations and combinations.

G. Distinguish between theoretical probability and experimental probability.

II. Statistics

A. Interpret statistical graphs such as line graphs, stem-and-leaf plots, pictographs, histograms, circle graphs and box plots.

B. Draw statistical graphs such as line graphs, stem-and-leaf plots, pictographs, histograms, circle graphs and box plots.

C. Determine measures of central tendency and their applications to box plots and percentiles.

D. Determine measures of dispersion.

E. Describe the attributes of the normal distribution.

F. Recognize misleading graphs.

III. Measurement

A. Calculate temperature conversions for Celsius and Fahrenheit.

B. Measure items using both the U.S. measurement systems and the metric system.

C. Convert measurements within the U.S. measurement system.

D. Convert measurements within the metric system.

E. Use dimensional analysis to convert measurements between the U.S. measurement system and the metric system.

F. Calculate the perimeter and the area of polygons.

G. Calculate the circumference and area of circles.

H. Apply the Pythagorean Theorem to right triangles to find measurements.

I. Calculate the surface area and volume of figures such as prisms, cylinders, pyramids, cones and spheres.

IV. Geometric Shapes

A. Describe the attributes of different 2- and 3-dimensional shapes.

B. Describe the attributes of different types of angles.

C. Draw basic 2- and 3-dimensional shapes.

D. Explain the relationships between angles formed by parallel lines intersected by transversals.

E. Solve problems involving angle measurement.

F. Describe the attributes of the Platonic solids.

V. Relationships between Geometric Shapes

A. Apply the concept of congruent triangles to constructions.

B. Construct parallel lines, perpendicular bisectors and angle bisectors.

C. Inscribe a regular polygon in a circle.

D. Solve problems involving congruency properties.

E. Solve problems involving similar figures.

VI. Motion Geometry

A. Find the image of geometrical shapes under various translations and rotations.

B. Find the image of geometrical shapes under various reflections.

C. Find the image of geometrical shapes under various size transformations with a given scale factor.

D. Analyze the properties of tessellations.

### Method of Evaluation and Competencies:

40-80% Unit Exams, Unit Papers, and/or Unit Projects

0-50% Homework, Quizzes, and/or Small Projects

20-40% Final Exam**

**The final exam must count at least as much as any unit exam, unit paper or unit project. In any course where unit exams are not proctored, the instructor may require that the student score at least a 70% on the final exam to earn a ‘C’ for the course. At the instructor’s discretion, the grade on all or any part of the final exam may replace any lower test score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the pre-requisite(s) for this course, a student must earn at least a "C" in the pre-requisite course(s) or earn an appropriate score on a placement exam. If a student is found not to have successfully fulfilled the pre-requisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

# MATH 214

**Title:**Introduction to Teaching Math and Science I***Number:**MATH 214**Effective Term:**2021-22**Credit Hours:**1**Contact Hours:**1.25**Lecture Hours:**1.25

### Requirements:

**Prerequisites:** MATH 171 with a grade of "C" or higher or an appropriate score on the math placement test or department approval.

### Description:

This course allows math and science students to explore and develop an appreciation for teaching as a career. To support their learning, students will be introduced to the theory and practice that is necessary to design and deliver quality instruction. They will plan and implement lessons of an inquiry-based curriculum in an elementary classroom during the semester. MATH 214, ASTR 214, BIOL 214, CHEM 214, GEOS 214, PHYS 214 and PSCI 214 are the same course; enroll in only one.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

Upon completion of this course, the student should be able to:

- Determine if teaching is a viable career path.
- Identify strategies for effective lesson planning and utilize these strategies to design and deliver inquiry-based lessons using the 5E Instructional Model.
- Demonstrate an awareness of personality and learning differences and discuss the implications for both teaching and learning.
- Use probing questions to elicit feedback to determine students' acquisition of knowledge.
- Revise lesson plans to reflect the needs of learners based on field experience gained in cooperation with a practicing classroom teacher.
- Research and identify relevant state and national teaching standards.
- Demonstrate proficiency in the use of technology for teaching, communicating, and collaborating.

### Content Outline and Competencies:

I. Teaching as a Career

A. Determine suitability/interest in teaching as a career through thoughtful self-reflection.

B. Explore pathways to a career in teaching.

C. Identify personal learning styles and discuss their implications for classroom interactions.

II. Strategies for Practical Lesson Design

A. Design and deliver inquiry-based hands-on lessons.

B. Write performance objectives for each lesson, including mathematics and/or science connections, and appropriate assessments for those objectives.

C. Use technology and the Internet to enhance classroom lessons, collaborate, and communicate.

III. Concepts and Components of Teaching Theory

A. Identify instructional strategies that meet the needs of diverse learners.

B. Distinguish between learner-centered and teacher-centered instructional strategies.

C. Discuss state and national science and mathematics standards and their implications for curriculum decisions.

D. Identify current issues in the theory and practice of teaching.

IV. Components of a Field Experience

A. Observe a math-science lesson taught by a cooperating teacher.

B. Interact with a population of diverse student learners in a school setting while teaching a lesson in an elementary school classroom.

C. Receive and synthesize feedback from a cooperating teacher as a peer and mentoring colleague in order to improve techniques.

### Method of Evaluation and Competencies:

10-20% Active classroom participation

20-30% Lesson planning and associated activities

30-40% Completion of field experience and associated activities

20-25% Related assignments/homework

### Grade Criteria:

90-100% = A80-89% = B

75-79% = C

70-74% = D

0-69% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 215

**Title:**Introduction to Teaching Math and Science II***Number:**MATH 215**Effective Term:**2021-22**Credit Hours:**1**Contact Hours:**1.25**Lecture Hours:**1.25

### Requirements:

**Prerequisites:** ASTR 214 with a grade of "C" or higher or BIOL 214 with a grade of "C" or higher or CHEM 214 with a grade of "C" or higher or GEOS 214 with a grade of "C" or higher or MATH 214 with a grade of "C" or higher or PHYS 214 with a grade of "C" or higher or PSCI 214 with a grade of "C" or higher.

### Description:

Students learn about the middle school environment and work on math and science inquiry-based lesson analysis, design and assessment. Student partners will plan and teach three inquiry-based lessons in a middle school. The course emphasizes writing 5E lesson plans with a focus on the importance of using appropriate questioning and assessment strategies throughout the lesson, as well as how to analyze and modify a lesson based on personal reflections and observer feedback. By the completion of the course, students should be able to reflect on their personal suitability/interest in teaching secondary math or science, and develop a feasible pathway to a career in teaching. MATH 215, ASTR 215, BIOL 215, CHEM 215, GEOS 215, PHYS 215 and PSCI 215 are the same course; enroll in only one.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Design inquiry-based middle school lesson plans, utilizing resources from exemplary inquiry-based science and mathematics lessons.
- Implement effective middle school teaching strategies based on the unique attributes of adolescents.
- Construct effective classroom learning activities using appropriate technology.
- Analyze data gained from pre- and post-assessments to evaluate student learning as a basis for revising lesson plans and teaching strategies.
- Employ techniques that offer educational equity among a population of diverse learners.
- Identify personal suitability/interest in teaching secondary math or science.

### Content Outline and Competencies:

I. Practical Lesson Design

A. Design inquiry-based lessons using the 5E Instructional Model.

B. Write measurable performance objectives for each lesson.

C. Develop applicable pre- and post-assessments for the performance objectives.

D. Analyze student data acquired through pre- and post-assessments to improve future lesson planning.

E. Incorporate technology into at least one lesson in a manner that encourages enhanced student interaction and learning.

II. Teaching Theory

A. Identify instructional approaches that meet the needs of diverse middle school learners.

B. Develop questioning strategies to effectively interact with students with varying abilities and learning styles in a middle school classroom.

C. Develop achievable solutions to preserve instructional equity in the classroom environment.

III. Field Experience

A. Reflect upon observations of lessons taught by an experienced math/science teacher.

B. Teach three inquiry-based lessons to a middle school math or science class.

C. Use probing questions to elicit feedback to determine students’ acquisition of knowledge.

D. Synthesize feedback from both mentor teachers and master teachers in order to improve teaching techniques.

E. Reflect on teaching experiences in order to enhance future classroom interactions.

### Method of Evaluation and Competencies:

15-25% Active classroom participation and attendance

20-30% Lesson planning and preparation

30-40% Field experiences, reflections and associated activities

10-20% Other assignments

100% Total

### Grade Criteria:

90 – 100% = A80 – 89% = B

75 – 79% = C

70 – 74% = D

0 – 69% = F

### Caveats:

To successfully complete the prerequisite(s) for this course, a student must earn at least a “C” in the prerequisite course(s). If a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

# MATH 231

**Title:**Business and Applied Calculus I***Number:**MATH 231**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** MATH 171 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher or an appropriate score on a placement test.

### Description:

This is the first course in calculus as it applies to business; the social, behavioral and biomedical sciences; and other fields. Concepts include measuring the slope of a curve, writing equations of tangent lines, finding maximum and minimum points, determining the rate of change of a function, and measuring the area under a curve. Algebraic skills and application problems are stressed. Specific calculus topics include finding limits; differentiation of algebraic, exponential and logarithmic functions; and integration of algebraic and exponential functions. Trigonometry (MATH 172) can be taken concurrently with MATH 231 for those students planning to enroll in MATH 232 in subsequent semesters.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Evaluate limits of functions.
- Use limits to determine continuity of a function at a point.
- Determine differentiability of a function at a point.
- Find derivatives for algebraic functions using limits.
- Differentiate algebraic, exponential and logarithmic functions.
- Interpret derivatives as the slopes of tangent lines, instantaneous rates of change and marginals.
- Use derivatives to describe the behavior of a function.
- Apply derivatives to problems in economics, business, and the physical, social and life sciences.
- Antidifferentiate algebraic and exponential functions.
- Apply the Fundamental Theorem of Calculus.
- Apply antiderivatives to problems in economics, business, and the physical, social and life sciences.

### Content Outline and Competencies:

I. Limits

A. Evaluate a limit, including one-sided limits, at a point using graphs, tables and algebraic techniques.

B. Evaluate a limit involving infinity using graphs, tables and algebraic techniques.

C. Determine continuity of a function at a point using the three conditions of continuity.

D. Determine differentiability of a function at a point using limits and graphs.

II. Derivatives

A. Find derivatives of a function using the limit definition.

B. Find the derivatives of algebraic, natural exponential and logarithmic functions using the power rule, product rule, quotient rule and the chain rule.

C. Find derivatives using implicit differentiation.

D. Use the derivative to write the equation of a line tangent to a curve at a given point.

E. Determine the sign of the derivative to estimate the intervals over which the first and second derivative is positive or negative using a graph.

F. Use derivatives to find critical points, inflection points and determine concavity using the first and second derivative.

G. Apply derivative techniques to economics, business, and physical, social and life sciences applications.

H. Predict, find, and explain rates of change for position functions, including the relationship between position, velocity and acceleration using derivatives.

I. Use derivatives to determine relative and absolute extrema (optimization) including restricted domains.

J. Determine outcomes in related rates problems using derivatives.

K. Determine and interpret marginal analyses using derivatives.

III. Integrals

A. Antidifferentiate algebraic, exponential, and logarithmic functions using elementary techniques and u-substitution.

B. Apply the Fundamental Theorem of Calculus to evaluate a definite integral using elementary techniques and u- substitution.

C. Calculate the area under a curve.

D. Determine a function given the rate of change.

E. Determine total revenue, cost and profit from marginal functions and determine distance from velocity function.

F. Solve for the integration constant given initial conditions.

G. Determine the total accumulation between two fixed values for a given rate of change.

H. Determine the average value of a function.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 231H

No information found.# MATH 232

**Title:**Business and Applied Calculus II***Number:**MATH 232**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** MATH 231 and (MATH 172 with a grade of "C" or higher or MATH 173 with a grade of "C" or higher) or an appropriate score on the math placement test.

### Description:

This is the second course in a two-semester series on calculus that covers five techniques of integration, differentiation and integration of trigonometric functions, differential equations, and functions of several variables as applied to business, statistics, biology and the social sciences.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Use calculus operations on trigonometric functions.
- Use calculus operations on multivariable functions.
- Solve differential equations.
- Use calculus to solve probability problems.
- Use calculus to solve application problems.

### Content Outline and Competencies:

I. Additional Integration Techniques

A. Calculate definite and indefinite integrals using integration by parts.

B. Calculate definite and indefinite integrals using the Integration Tables.

C. Determine value of definite integrals using numerical integration.

D. Determine whether improper integrals converge.

E. Apply L’Hôpital’s Rule to find limits.

II. Multivariable Calculus

A. Compute the first and second partial derivatives of functions of several variables.

B. Compute the value of double integrals.

C. Locate the coordinates of any relative extrema of a function of two variables.

D. Utilize Lagrange Multipliers to compute the maximum or minimum of a function subject to constraints.

E. Apply multivariable calculus to application problems.

III. Differential Equations

A. Identify differential equations.

B. Solve differential equations using the method of separation of variables.

C. Apply differential equations to problems involving limited, unlimited, and logistic growth.

IV. Calculus and Trigonometric Functions

A. Differentiate the sine and cosine functions.

B. Integrate the sine and cosine functions.

C. Extend the derivatives and integrals of the sine and cosine functions to the other trigonometric functions.

V. Calculus and Probability Theory

A. Define discrete probability.

B. Identify continuous probability density functions.

C. Compute expected value and variance of a continuous random variable and compare to discrete probability.

D. Convert a normal distribution function to a standard normal distribution function.

E. Use the standard normal distribution function to calculate the probabilities of a random variable.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

Total: 100%

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 232H

No information found.# MATH 241

**Title:**Calculus I***Number:**MATH 241**Effective Term:**2021-22**Credit Hours:**5**Contact Hours:**5**Lecture Hours:**5

### Requirements:

**Prerequisites:** (MATH 171 with a grade of "C" or higher and MATH 172 with a grade of "C" or higher) or MATH 173 with a grade of "C" or higher or an appropriate score on a placement test.

### Description:

This is the first of a three-semester sequence on calculus designed for engineering, physics and math majors. Rates of change and areas will be studied. To accomplish this, the students will study and apply limits and continuity. Differentiation and integration of algebraic, trigonometric and transcendental functions will also be a major focus of this course.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Evaluate the limits of functions.
- State whether a function is continuous or discontinuous based on both the graph and the definition of continuity.
- Use limits to describe instantaneous rate of change, the slope of the tangent line, and the velocity and acceleration of a moving particle.
- Differentiate algebraic, trigonometric and transcendental functions explicitly and, where appropriate, implicitly.
- Use derivatives for curve sketching.
- Use and interpret the derivatives of functions to solve problems from a variety of fields, including physics and geometry.
- Integrate algebraic, trigonometric and transcendental functions.
- Compute definite integrals.
- Integrate using numerical techniques and substitution.
- Use integration results to calculate areas and mean values.

### Content Outline and Competencies:

I. Limits

A. Evaluate limits.

1. Evaluate the limit of a function at a point both algebraically and graphically.

2. Evaluate the limit of a function at infinity both algebraically and graphically.

3. Use the definition of a limit to verify a value of the limit of a function.

B. Use limits.

1. Use the limit to determine the continuity of a function.

2. Use the limit to determine differentiability of a function.

3. Apply the Intermediate Value Theorem.

4. Use the limiting process to find the derivative of a function.

II. Derivatives

A. Find derivatives involving powers and sums.

B. Find derivatives involving products and quotients.

C. Find derivatives involving the chain rule.

D. Find derivatives involving exponential and logarithmic functions.

E. Find derivatives involving trigonometric and inverse trigonometric functions.

F. Find derivatives involving implicit differentiation.

III. Applications of Derivatives

A. Determine graphical properties of functions.

1. Use the first derivative to find critical points.

2. Apply the Mean-Value Theorem for derivatives.

3. Determine the behavior of a function using the first derivative.

4. Use the second derivative to find inflection points.

5. Determine the concavity of a function using the second derivative.

6. Sketch the graph of the function using information gathered from the first and second derivatives.

7. Interpret graphs of functions.

B. Apply the derivative.

1. Use the derivative to find velocity, acceleration and other rates of change.

2. Use the derivative to find a tangent line to a curve at a given point.

3. Solve related rates problems.

4. Use optimization techniques in economics, the physical sciences and geometry.

5. Use differentials to estimate change.

6. Use Newton’s Method.

IV. Integrals

A. Find area using Riemann sums.

B. Express the limit of a Riemann sum as a definite integral.

C. Evaluate the definite integral using geometry.

D. Approximate definite integrals using the Trapezoid Rule and Simpson’s Rule.

E. Evaluate definite integrals using the Fundamental Theorem of Calculus.

F. Integrate algebraic, natural exponential, natural logarithm, trigonometric and inverse trigonometric functions.

G. Integrate indefinite integrals.

H. Integrate by substitution.

I. Apply the Mean-Value Theorem for Integrals.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

Total: 100%

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the prerequisite(s) for this course, a student must earn at least a "C" in the prerequisite(s) or earn an appropriate score on a placement exam. If a student is found not to have successfully fulfilled the prerequisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

# MATH 241H

No information found.# MATH 242

**Title:**Calculus II***Number:**MATH 242**Effective Term:**2021-22**Credit Hours:**5**Contact Hours:**5**Lecture Hours:**5

### Requirements:

**Prerequisites:** MATH 241 with a grade of "C" or higher.

### Description:

This is the second course of a three-semester sequence on calculus. Integration is covered with an emphasis on analytical, numerical, and graphical methods. Techniques of integration are used to solve scientific and geometric applications. Infinite series are analyzed for convergence and applied to the representation of functions.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Apply techniques of differential and integral calculus to inverse trigonometric functions.
- Apply techniques necessary for integration.
- Use calculus to model and solve scientific applications.
- Use calculus to solve geometric applications.
- Determine convergence of integrals, sequences and series.
- Use infinite series to approximate functions.
- Describe algebraic and geometric relationships in both parametric and polar form.
- Apply techniques of differential and integral calculus to parametric and polar equations.

### Content Outline and Competencies:

I. Inverse Trigonometric Functions

A. Find derivatives involving inverse trigonometric functions.

B. Find antiderivatives involving inverse trigonometric functions.

II. Techniques of Integration

A. Evaluate an integral using integration by parts.

B. Evaluate an integral using the method of partial fractions.

C. Evaluate an integral which involves powers of trigonometric functions.

D. Evaluate an integral using trigonometric substitutions.

E. Identify appropriate techniques necessary for integration.

F. Evaluate an integral using integral tables and/or technology.

G. Apply L'Hopital's Rule to evaluate limits involving indeterminate forms.

H. Determine whether an improper integral converges or diverges by definition.

I. Determine the convergence or divergence of an improper integral using an appropriate test.

J. Evaluate a convergent improper integral.

III. Applications of Definite Integrals

A. Calculate area between curves using integration.

B. Calculate the volume of a solid of revolution using appropriate methods, including the disk, washer and shell methods.

C. Calculate the length of a curve defined by a Cartesian equation.

D. Calculate the surface area generated by revolving a Cartesian curve.

E. Calculate work.

IV. Parametric and Polar Equations

A. Graph parametric equations.

B. Convert between parametric and Cartesian equations.

C. Graph polar equations.

D. Convert from rectangular to polar coordinates and vice-versa.

E. Calculate the slope of a parametrized curve.

F. Calculate the length of a smooth parametrized curve.

G. Calculate the surface area generated by revolving a parametrized curve.

H. Differentiate polar equations.

I. Integrate polar equations.

J. Calculate area in the plane using polar coordinates.

K. Calculate the area between two curves using polar coordinates.

L. Calculate the length of a polar curve.

M. Calculate the surface area generated by revolving a polar curve.

V. Infinite Sequences and Series

A. Determine whether an infinite sequence converges or diverges.

B. Find the limit of a convergent sequence.

C. Identify geometric series, telescoping series, harmonic series, p-series, alternating series and power series.

D. Determine whether an infinite series converges or diverges by definition.

E. Determine convergence or divergence of an infinite series using an appropriate test.

F. Determine whether an infinite series converges absolutely or conditionally.

G. Find the radius and interval of convergence for a power series.

H. Construct a Taylor series which represents a function.

I. Estimate the error in approximating a function with a Taylor polynomial.

### Method of Evaluation and Competencies:

40-80% Unit Exams, Unit Papers and/or Unit Projects

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam*

*The final exam must count at least as much as any unit exam, unit paper or unit project. In any course where unit exams are not proctored, the instructor may require that the student score at least a 70% on the final exam to earn a "C" for the course. At the instructor's discretion, the grade on all or any part of the final exam may replace any lower test score.

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

To successfully complete the pre-requisite(s) for this course, a student must earn at least a "C" in the pre-requisite course(s). If a student is found not to have successfully fulfilled the pre-requisite(s) for this course, the student will be dropped from the course.

### Student Responsibilities:

### Disabilities:

# MATH 242H

No information found.# MATH 243

**Title:**Calculus III***Number:**MATH 243**Effective Term:**2021-22**Credit Hours:**5**Contact Hours:**5**Lecture Hours:**5

### Requirements:

**Prerequisites:** MATH 242 with a grade of "C" or higher.

### Description:

This is the third course in a three-semester sequence on analytic geometry and calculus. Topics include vector-valued functions, functions of several variables, multiple integration, and vector analysis.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Use vectors in the plane and in space.
- Analyze surfaces in space.
- Differentiate multivariable functions and vector-valued functions.
- Integrate multivariable functions and vector-valued functions.
- Analyze vector fields.
- Utilize the calculus of multivariable functions and vector calculus to solve applied problems.

### Content Outline and Competencies:

I. Vectors in the Plane and in Space

A. Determine the components of a vector in the plane and in space and illustrate geometrically.

B. Apply vector operations and properties and interpret them geometrically.

C. Calculate the dot product to determine the angle between two vectors.

D. Find the magnitude and direction of a resultant vector and illustrate geometrically.

E. Determine a vector passing through two points.

F. Determine whether two vectors are orthogonal

G. Determine whether two vectors are parallel.

H. Determine the projection of one vector onto another vector.

I. Calculate the cross product for two vectors and interpret geometrically.

J. Write the parametric equations for a line in space.

K. Determine the equation for a plane.

II. Surfaces in Space

A. Identify equations of right cylinders and sketch graphs of these cylinders.

B. Identify equations of quadric surfaces and sketch graphs of quadric surfaces.

III. Vector-valued Functions

A. Define vector-valued functions.

B. Identify the space curve determined by a vector-valued function.

C. Define differentiation and integration of vector-valued functions.

D. Calculate derivatives of vector-valued functions.

E. Calculate integrals of vector-valued functions.

F. Identify intervals on which a parametrically defined curve is smooth.

G. For a given position vector, calculate the velocity and acceleration vectors.

H. Determine the principal unit tangent, unit normal and unit binormal vectors to a given curve at a given point.

I. Determine the tangential and normal components of an acceleration vector.

J. Calculate the arc length of a curve.

K. Calculate the curvature of a curve.

L. Calculate the torsion of a curve.

M. Use position, velocity, acceleration, speed and/or tangential and normal components of acceleration to analyze motion along a curve.

IV. Functions of Several Variables

A. Determine the domain of functions of several variables.

B. Graph functions of two variables.

C. Sketch level curves and level surfaces of multivariable functions.

D. Define limits and continuity for multivariable functions.

E. Determine limits or show that the limit does not exist for multivariable functions.

F. Determine regions on which a multivariable function is continuous.

G. Define partial derivatives.

H. Calculate and interpret partial derivatives.

I. Compute differentials.

J. Define differentiability of multivariable functions.

K. State the chain rule.

L. Apply chain rule for multivariable functions.

M. Compute and interpret directional derivatives.

N. Calculate and interpret gradients.

O. Find equations of tangent planes and normal lines to surfaces.

P. Find critical points and classify as relative extrema or saddle points for functions of two variables.

Q. Find extrema of functions of two variables.

R. Solve applied optimization problems using multivariable functions.

S. Utilize Lagrange multipliers to solve constrained optimization problems.

V. Multiple Integration

A. Define double and triple integrals.

B. Set up and evaluate iterated multiple integrals in rectangular coordinates.

C. Use polar coordinates to evaluate double integrals.

D. Describe locations in three dimensions using rectangular, cylindrical, and spherical coordinates.

E. Convert between rectangular, cylindrical, and spherical coordinates.

F. Utilize rectangular, cylindrical, and spherical coordinates to describe surfaces.

G. Use cylindrical and spherical coordinates to evaluate triple integrals.

H. Use double integrals to compute area in the plane.

I. Use double and triple integrals to calculate volume.

J. Use double integrals to compute surface area.

K. Use double and triple integrals in applications including calculation of mass, center of mass, and moments of inertia.

L. Implement a change of variables to evaluate a double integral.

VI. Vector Analysis

A. Define vector fields.

B. Calculate divergence and curl for a vector field.

C. Define conservative vector field.

D. Determine whether a vector field is conservative or not.

E. Calculate the potential function for a conservative vector field.

F. Define line integrals.

G. Evaluate a line integral over a given curve.

H. Use line integrals to calculate work, circulation, and flow.

I. Calculate flux of a vector field across a curve.

J. Define path independence.

K. Determine if a line integral is path independent.

L. Apply the Fundamental Theorem of Line Integrals.

M. Apply Green’s Theorem where appropriate.

N. Define surface integrals.

O. Evaluate surface integrals.

P. Calculate flux of a vector field through a surface.

Q. Apply the Divergence Theorem where appropriate.

R. Apply Stokes’s Theorem where appropriate.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

Total: 100%

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 243H

No information found.# MATH 246

**Title:**Elementary Linear Algebra***Number:**MATH 246**Effective Term:**2021-22**Credit Hours:**3**Contact Hours:**3**Lecture Hours:**3

### Requirements:

**Prerequisites:** MATH 242 with a grade of "C" or higher.

### Description:

This sophomore-level introduction to linear algebra uses a matrix-oriented approach, with an emphasis on problem solving and applications. The course focus is on matrix arithmetic, systems of linear equations, properties of Euclidean n-space, eigenvalues and eigenvectors, orthogonality and vector spaces.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Solve systems of linear equations using Gaussian methods, matrices, and vectors.
- Determine how the functional properties of linear transformations correspond to the properties of matrix multiplication.
- Perform basic operations involving determinants.
- Determine the solution set of a homogeneous system of linear equations, the span of a finite set of vectors, the null space and range of a linear transformation; apply their properties.
- Calculate eigenvalues and eigenvectors; use their properties to describe diagonalizable matrices.
- Construct a basis of perpendicular eigenvectors for a given matrix or linear transformation.
- Extend previous concrete concepts to the more general context of an abstract vector space.

### Content Outline and Competencies:

I. Matrices, Vectors and Systems of Linear Equations

A. Define matrices and vectors.

B. Manipulate linear combinations, matrix-vector products, and special matrices.

C. Solve systems of linear equations.

D. Perform Gaussian elimination.

E. Determine the span of a set of vectors.

F. Determine linear dependence and independence.

II. Matrices and Linear Transformations

A. Perform matrix multiplication.

B. Construct inverse matrices with elementary matrices.

C. Compute the inverse of a matrix.

D. Describe the relationship between linear transformations and matrices.

E. Determine the composition and invertibility of linear transformations.

III. Determinants

A. Calculate determinants using cofactor expansions.

B. Use the properties of determinants.

IV. Subspaces and Their Properties

A. Define subspaces associated with matrices.

B. Construct a basis for a subspace.

C. Determine the dimension of a subspace.

D. Determine the dimension of a subspace associated with a matrix.

E. Calculate a rotation matrix for a given angle.

F. Construct matrix representations of linear operators.

V. Eigenvalues, Eigenvectors, and Diagonalization

A. Determine eigenvalues and eigenvectors.

B. Construct the characteristic polynomial of a matrix.

C. Diagonalize matrices.

D. Diagonalize linear operators.

VI. Orthogonality

A. Describe vectors with geometry.

B. Construct orthonormal vectors.

C. Compute the least-squares approximation.

D. Produce orthogonal projection matrices.

E. Create orthogonal matrices and operators.

F. Construct symmetric matrices.

VII. Vector Spaces

A. Define vector spaces and their subspaces.

B. Determine dimension and isomorphism.

C. Express linear transformations in matrix representations.

D. Define inner product spaces.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

Total: 100%

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 246H

No information found.# MATH 254

**Title:**Differential Equations***Number:**MATH 254**Effective Term:**2021-22**Credit Hours:**4**Contact Hours:**4**Lecture Hours:**4

### Requirements:

**Prerequisites:** MATH 243 with a grade of "C" or higher.

### Description:

This course will cover standard types of equations that involve rates of change. In particular, this is an introductory course in equations that involve ordinary derivatives. Both qualitative and quantitative approaches will be used. Standard types and methods will be covered, including Laplace transforms, infinite series, and numerical methods. Basic linear algebra will be developed to solve systems of differential equations.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Calculate solutions to first-order ordinary differential equations.
- Calculate solutions to higher-order ordinary differential equations.
- Calculate solutions to differential equations using infinite series.
- Calculate solutions to differential equations using the Laplace transform.
- Approximate solutions to initial value problems using numerical methods.
- Utilize the concepts of vector space, basis, and dimension in solving systems of equations.
- Calculate eigenvalues and eigenvectors.
- Calculate solutions to systems of first-order ordinary differential equations.
- Utilize the concepts of differential-equation theory in applied modeling activities.

### Content Outline and Competencies:

I. Basic concepts

A. Discriminate between ordinary and partial differential equations.

B. Determine the order of a differential equation.

C. Discriminate between linear and nonlinear differential equations.

D. Define a solution to a differential equation.

E. Utilize direction fields in interpreting solutions of differential equations.

II. First-Order Differential Equations

A. Utilize the existence and uniqueness theorem for first-order differential equations.

B. Calculate solutions to linear first-order ordinary differential equations.

C. Utilize the existence and uniqueness theorem for first-order linear differential equations.

D. Calculate solutions to separable first-order ordinary differential equations.

E. Utilize first-order ordinary differential equations in modeling activities.

F. Analyze the stability of equilibrium solutions.

III. Numerical Methods

A. Utilize Euler’s Method to approximate initial-value problem solutions.

B. Utilize improvements on Euler’s Method to approximate initial-value problem solutions.

C. Utilize the Runge-Kutta methods to approximate initial-value problem solutions.

IV. Linear Algebra

A. Solve systems of equations using Gaussian elimination.

B. Define vector spaces and subspaces.

C. Define linear independence and dependence.

D. Define a basis for a vector space or subspace.

E. Define the dimension for a vector space.

F. Calculate the eigenvalues and associated eigenvectors for a given matrix.

V. Systems of Differential Equations

A. Define higher-order linear differential equations.

B. Transform higher-order linear differential equations to systems of first-order differential equations.

C. Utilize the eigenvalue-eigenvector method in solving systems of homogeneous linear differential equations with constant coefficients.

D. Determine the linear dependence or independence of a set of solutions.

E. Calculate solutions given real distinct, real repeated, and complex roots of the characteristic equation.

F. Define fundamental solutions of linear homogeneous equations.

G. Classify solutions of second-order linear homogeneous equations as underdamped, critically damped or overdamped.

H. Construct the general solution of nonhomogeneous linear systems utilizing the method of variation of parameters.

I. Utilize the phase plane in solving systems.

J. Utilize systems of differential equations in modeling activities.

VI. Series Solution Techniques

A. Construct series solutions near an ordinary point.

B. Construct solutions for Euler equations.

VII. The Laplace Transform

A. Define the Laplace transform.

B. Utilize Laplace transforms in solving initial-value problems.

C. Solve initial-value problems involving step functions.

D. Solve initial-value problems involving discontinuous forcing functions.

E. Solve initial-value problems involving impulse functions.

F. Utilize the Convolution theorem.

### Method of Evaluation and Competencies:

0-50% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

Total: 100%

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 254H

No information found.# MATH 285

**Title:**Statistics for Business***Number:**MATH 285**Effective Term:**2021-22**Credit Hours:**4**Contact Hours:**4**Lecture Hours:**4

### Requirements:

**Prerequisites:** MATH 231 with a grade of "C" or higher or MATH 241 with a grade of "C" or higher.

### Description:

This is a beginning course in statistical analysis using calculus, with an emphasis on applications to business. The skill of making sense of raw data is important and includes constructing graphical representations of data, developing models for making predictions, performing tests to determine significant change, and finding intervals for population values. Students will learn the basics of descriptive statistics, probability, sampling, confidence intervals, hypothesis testing, linear regression, and an introduction to quality control. Students must have an understanding of calculus concepts in order to successfully complete this course.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Organize data using statistically valid methods.
- Use a computer to perform statistical calculations to analyze the statistics in computer printouts.
- Describe data using measures of central tendency and measures of dispersion.
- Use sample spaces, formulas, and the laws of probability to solve problems.
- Identify and construct probability distributions.
- Calculate expected value and variance for a probability distribution.
- Construct confidence intervals and explain the meaning in terms of the problem.
- Perform hypothesis tests and explain the conclusion using the language of statistics.
- Perform and use linear regression.
- Apply statistical reasoning to business applications.

### Content Outline and Competencies:

I. Descriptive Statistics

A. For a given set of data, draw a dotplot, histogram and/or a boxplot.

B. Describe the general shape of data as skewed left, skewed right or symmetric.

C. Calculate the measures of central tendency including mean, median and mode.

D. Calculate and explain the measures of dispersion including range, variance and standard deviation.

E. Use a computer package to enter data and analyze results.

II. Probability

A. Construct the sample space for an experiment.

B. Use the Fundamental Counting Rule to predict the number of things in a sample space.

C. Determine whether or not two events are mutually exclusive.

D. Determine whether or not two events are independent.

E. Calculate conditional probabilities.

III. Random Variables and Probability Density Functions

A. List all possible values of a discrete random variable along with its probabilities.

B. Determine the expected value and the variance of a discrete probability density function.

C. Use calculus to calculate probabilities, expected value and the variance for continuous probability density functions.

IV. Specific Probability Distributions

A. Use the Binomial distribution to solve problems with two outcomes and independent events.

B. Use the Hypergeometric distribution to solve problems involving sampling without replacement.

C. Use the Poisson distribution to solve problems involving occurrences of events that happen randomly over time.

D. Use the Exponential distribution to solve problems describing the time between events.

E. Use the Normal distribution and z-scores to solve problems.

V. Random Sampling and Sampling Theory

A. Calculate the mean and standard deviation for a distribution of sample means.

B. Construct a normal probability plot and describe the shape of the population based on the plot.

C. Verify that the conditions are met to use the Central Limit Theorem.

VI. Estimating a Population Parameter

A. Construct and interpret a confidence interval for a population mean.

B. Construct and interpret a confidence interval for a population proportion.

VII. Hypothesis Testing

A. Perform a hypothesis test for a population mean using a sample mean.

B. Perform a hypothesis test for a population proportion using a sample proportion.

C. Perform a hypothesis test for two population means.

D. Perform a hypothesis test with more than two categories.

E. Explain Type I and Type II errors with respect to a problem.

VIII. Linear Regression

A. Calculate a linear regression equation and explain the equation in terms of the problem.

B. Use a linear regression equation to make predictions about data.

C. Calculate the coefficient of determination for a linear regression equation.

D. Use the coefficient of determination to explain the strength of the regression equation.

IX. Introduction to Statistical Process Control

A. Provide a brief history of quality control.

B. Construct basic control charts using the distributions learned in the course.

### Method of Evaluation and Competencies:

40-80% Unit Exams, Unit Papers and/or Unit Projects

0-40% Homework, Quizzes and/or Small Projects

20-40% Final Exam**

Total: 100%

### Grade Criteria:

90 - 100% = A80 - 89% = B

70 - 79% = C

60 - 69% = D

0 - 59% = F

### Caveats:

### Student Responsibilities:

### Disabilities:

# MATH 290

No information found.# MATH 292

**Title:**Special Topics:***Number:**MATH 292**Effective Term:**2021-22**Credit Hours:**1 - 3**Contact Hours:**1 - 3**Lecture Hours:**1 - 3

### Requirements:

**Prerequisites:** Department approval.

### Description:

MATH 292 allows students to investigate in-depth a single theme or topic in mathematics. This may be accomplished by expanding upon a subject introduced in current course offerings or exploring a subject not addressed in the curriculum of the mathematics department. Special Topics may be repeated for credit but only on different topics. Total contact hours vary with topic.

### Textbooks:

http://bookstore.jccc.edu/### Supplies:

Refer to the instructor's course syllabus for details about any supplies that may be required.### Objectives

- Perform computations or algorithms relevant to the Special Topic.
- Apply the Special Topic to real-world situations.
- Describe the theoretical structure behind the Special Topic.
- Demonstrate conceptual understanding of the Special Topic.
- Describe how the Special Topic relates to the broader study of mathematics.

### Content Outline and Competencies:

The content outline and competencies will vary, depending on the special topic being offered. The Special Topics course competencies must follow standard format for JCCC course outlines. The Special Topics proposer will submit competencies to the Mathematics Division Curriculum Committee for review and approval.

### Method of Evaluation and Competencies:

Methods will vary depending on the Special Topic. Homework 0 - 90% Projects 0 - 90% Tests 0 - 90% Final 10% - 50%