# Mathematics (MATH)

**MATH-50 1-2 Units Basic Mathematics **

Designed for the student for whom traditional mathematics instruction has not been successful. Individualized, self-paced instruction in whole numbers. Not open to students who have received a CR or a grade of C or better in other mathematics courses without assessment. Pass/no pass grading; open entry/open exit.

Not transferable

**MATH-51 1-2 Units Basic Mathematics **

**Prerequisite:** Completion of MATH-50 with a minimum grade of C.

Designed for the student for whom traditional mathematics instruction has not been successful. Individualized, self-paced instruction in whole numbers and fractions. Not open to students who have received a CR or a grade of C or better in other mathematics courses without assessment. Pass/no pass grading; open entry/open exit.

Not transferable

**MATH-52 1-2 Units Basic Mathematics **

**Prerequisite:** Completion of MATH-51 with a passing grade.

Designed for the student for whom traditional mathematics instruction has not been successful. Individualized, self-paced instruction in whole numbers, fractions and decimals. Not open to students who have received a CR or a grade of C or better in other mathematics courses without assessment. Pass/no pass grading; open entry/open exit.

Not transferable

**MATH-53 1-2 Units Basic Mathematics **

**Prerequisite:** Completion of MATH-52 with a passing grade.

Designed for the student for whom traditional mathematics instruction has not been successful. Individualized, self-paced instruction in whole numbers, fractions, decimals, ratio and proportion and percents. Not open to students who have received a CR or a grade of C or better in other mathematics courses without assessment. Pass/no pass grading; open entry/open exit.

Not transferable

**MATH-54 1-2 Units Basic Mathematics **

**Prerequisite:** Completion of MATH-53 with a passing grade.

Designed for the student for whom traditional mathematics instruction has not been successful. Individualized, self-paced instruction in whole numbers, fractions, decimals, ratio and proportion, percents, and pre-algebra. Not open to students who have received a CR or a grade of C or better in other mathematics courses without assessment. Pass/no pass grading; open entry/open exit.

Not transferable

**MATH-55 3 Units Pre Algebra **

**Prerequisite:** Math 55 assumes that the student is comfortable with basic arithmetic operations with whole numbers.

A course which provides students with the prerequisite skills necessary for success in Beginning Algebra (MATH 90). Students will solve practical problems from daily life, learn how to use their calculator, and prepare for a transition to algebra.

Not transferable

**MATH-83 2 Units Support for Statistics **

**Corequisites:** Concurrent enrollment in MATH-232.

**Recommended Preparation:** Math-83 is open entry, but requires the student be proficient at basic arithmetic operations on signed numbers using both integers and decimals and have a fundamental understanding of fractions as well as solving and graphing linear equations. Students who do not feel proficient at these skills should consider taking Math 93, Applied Algebra for Statistics.

Math 83 is open only to students who concurrently enroll in Math 232, Statistics. Students will review and apply concepts from arithmetic, algebra and geometry to the understanding of college level statistics. Concepts will be covered using a just-in-time approach for understanding of the corresponding statistics concepts as they are presented in Math 232. This course is not appropriate for math, science, computer science, business, or engineering majors.

Not transferable

**MATH-85 4 Units Elementary Algebra **

This course is a review of basic mathematics, operations on real numbers, and algebraic expressions. It includes traditional arithmetic, pre-algebra and an introduction to algebra for students needing to develop or improve basic computational and quantitative reasoning skills. This course is recommended for students who wish to study business, science, technology, engineering or mathematics and need to learn foundational topics.

Not transferable

**MATH-86 2.5 Units Support for College Algebra **

**Prerequisite:** Completion of MATH-85 with a minimum grade of C or appropriate placement.

**Corequisites:** Concurrent enrollment in MATH-106.

**Recommended Preparation:** Math-86 is open entry, and will provide students with the algebra needed to succeed in Math-106, College Algebra. Students who would like more time to build their algebra foundation than this concurrent course will provide, should consider taking Math-95. In addition, Math-86, requires that students have a fundamental understanding of topics from beginning Algebra such as operations on fractions and solving equations. Students without this understanding should consider taking Math-85.

Math 86, Support for College Algebra, is open only to students concurrently enrolled in Math 106, College Algebra. Concepts will be covered using a just-in-time approach for understanding of the corresponding concepts as they are presented in Math 106. This course is designed to offer support for students who lack the strong algebra background to succeed in Math 106.

Not transferable

**MATH-90 5 Units Beginning Algebra **

**Prerequisite:** Completion of MATH-55 with a minimum grade of C or appropriate placement.

MATH 90 is the first course in the MATH 90-94 algebra sequence. It is a prerequisite for MATH 94 or MATH 98 and is equivalent to both MATH 96 and MATH 97. Content includes order of operations, linear equations, inequalities, graphing, polynomials, factoring, rational expressions and applications.

Not transferable

**MATH-92 7 Units Accelerated Pre- and Beginning Algebra **

**Recommended Preparation:** Students should be competent with basic arithmetic operations on whole numbers (addition subtraction, multiplication and division). They should also have some experience with negative numbers and fractions.

This course is designed to provide an accelerated option for students combining pre-algebra and beginning algebra into one semester. Course topics include arithmetic operations, order of operations, linear equations, inequalities, graphing, polynomials, factoring, rational expression and applications. Students will use real numbers, including fractions and decimals. Upon successful completion, students will be prepared to succeed in Intermediate Algebra (MATH 94).

Not transferable

**MATH-93 3 Units Applied Algebra for Statistics **

**Recommended Preparation:** It is expected that students have a fundamental understanding of signed numbers, including decimals and fractions.

Math 93 provides students with the algebraic skills necessary for success in Statistics (Math 232). Students will learn to use core concepts from arithmetic, prealgebra, elementary and intermediate algebra, with emphasis on solving and graphing linear equations; modeling with linear functions; solving contextualized problems; and dimensional analysis. This course is not intended for math, science, computer science, business, or engineering majors.

Not transferable

**MATH-94 5 Units Intermediate Algebra **

**Prerequisite:** Completion of MATH-90 or MATH-92 or MATH-97 with a minimum grade of C or qualification through the placement process.

MATH 94 is the second course in the MATH 90-94 sequence. It is a prerequisite for MATH 106, MATH 232 and MATH 235 and is equivalent to both MATH 98 and MATH 99. Content includes introduction to functions, systems of equations, absolute value equations and inequalities, complex numbers, simplifying radicals, graphing quadratic and exponential functions, solving equations involving radicals, quadratics, exponentials, or logarithms, and applications.

Not transferable

**MATH-95 5 Units Foundations of Algebra for Math Intensive Fields **

**Prerequisite:** Completion of MATH-85 with a minimum grade of C or appropriate placement.

**Recommended Preparation:** Math-95 is open entry, but requires that students have a fundamental knowledge of mathematics topics such as operations on fractions, solving basic equations and graphing. Students who need to develop those skills should consider taking Math-85.

This course consists of elements of beginning and intermediate algebra as appropriate for long-term engagement in math-intensive fields. Topics include polynomial, rational, radical, exponential, and logarithmic expressions, equations, functions, and graphs; polynomial, rational, and radical inequalities; systems of equations; and algebra of functions. This course is recommended for students who wish to study business, science, technology, engineering or mathematics.

Not transferable

**MATH-96 3 Units Beginning Algebra, Part A **

**Prerequisite:** Completion of MATH-55 with a minimum grade of C or appropriate placement.

Math 96 is the first course in the Math 96-99 algebra sequence. It is a prerequisite for Math 97 and together with Math 97 is equivalent to Math 90. Content includes order of operations, linear equations, inequalities, graphing, polynomials and applications.

Not transferable

**MATH-97 3 Units Beginning Algebra, Part B **

**Prerequisite:** Completion of MATH-96 with a minimum grade of C.

Math 97 is the second course in the Math 96-99 algebra sequence. It is a prerequisite for Math 98 or Math 94 and together with Math 96 is equivalent to Math 90. Content includes polynomials, factoring, rational expressions and applications.

Not transferable

**MATH-98 3 Units Intermediate Algebra, Part A **

**Prerequisite:** Completion of MATH-97 or equivalent with a minimum grade of C, or qualification through the assessment process.

Math 98 is the third course in the Math 96-99 algebra sequence. It is a prerequisite for Math 99 and together with Math 99 is equivalent to Math 94. Content includes functions, systems of linear equations, compound inequalities and radicals.

Not transferable

**MATH-99 3 Units Intermediate Algebra, Part B **

**Prerequisite:** Completion of MATH-98 or equivalent with a minimum grade of C.

Math 99 is the fourth course in the Math 96-99 algebra sequence. It is a prerequisite for Math 106, Math 232 and Math 235 and together with Math 98 is equivalent to Math 94. Content includes complex numbers, quadratics, exponentials, logarithms, conic sections, series and applications.

Not transferable

**MATH-106 4 Units College Algebra **

**Prerequisite:** Completion of MATH-95 with a minimum grade of C or appropriate placement.

This course provides a strong algebraic foundation for the study of Calculus. From numerical, graphing, and analytical views, the course studies functions, including: polynomial, rational, exponential and logarithmic. Series, sequences and conic sections are also included. A graphing calculator is required.

Transfers to both UC/CSU

**MATH-108 3 Units Trigonometry **

**Prerequisite:** Completion of MATH-106 with a minimum grade of C.

The course provides a strong trigonometric foundation for the study of Calculus. Included are trigonometric functions, their inverses and their graphs, identities and proofs related to trigonometric expressions, trigonometric equations, solving right triangles, solving triangles using the Law of Cosines and the Law of Sines, polar coordinates, and an introduction to vectors. A graphing calculator is required.

Transfers to CSU only

**MATH-115 5 Units Applied Calculus **

**Prerequisite:** Completion of MATH-106 or equivalent with a minimum grade of C.

Presents a study of the techniques of calculus with emphasis on applications to business, life sciences and social sciences. Topics include modeling, applications of derivatives and integrals for polynomial, rational, exponential and logarithmic functions. Graphing calculator is required.

Transfers to both UC/CSU

**MATH-120 5 Units Calculus I **

**Prerequisite:** Completion of MATH-106 and MATH-108 with a minimum grade of C.

Math 120 is the first semester of a three course sequence in differential and integral calculus. Topics include functions, limits and continuity, techniques and applications of differentiation and integration, and the Fundamental Theorem of Calculus. Primarily for students majoring in mathematics, engineering or sciences. A Graphing Calculator is required.

Transfers to both UC/CSU

**MATH-121 5 Units Calculus II **

**Prerequisite:** Completion of MATH-120 with a minimum grade of C.

The second semester of a three-course sequence in differential and integral calculus. Topics include integration, techniques of integration, infinite sequences and series, polar and parametric equations, and applications of integration. Primarily for majors of mathematics, engineering, and sciences. Graphing calculator is required.

Transfers to both UC/CSU

**MATH-130 3 Units Mathematical Concepts for Elementary School Teachers-Number Systems **

**Prerequisite:** Completion of MATH-94 or equivalent with a minimum grade of C.

This course emphasizes problem solving techniques and mathematical structure associated with numeration, set theory, elementary number theory, the real number system, ratio, proportion and patterns. Designed for prospective elementary teachers, this course includes activity-based explorations implementing the common core state curriculum standards.

Transfers to both UC/CSU

**MATH-220 3 Units Linear Algebra **

**Prerequisite:** Completion of MATH-121 or equivalent with a minimum grade of C.

This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Properties of vectors are investigated in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included. Graphing calculator is required.

Transfers to both UC/CSU

**MATH-221 5 Units Multivariable Calculus **

**Prerequisite:** Completion of MATH-121 with a minimum grade of C.

The third semester of a three course sequence in differential and integral calculus. Topics include vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green's Theorem, Stokes' Theorem, and divergence theorem. Primarily for majors of mathematics, engineering, and science. A Graphing Calculator is required.

Transfers to both UC/CSU

**MATH-222 3 Units Differential Equations **

**Prerequisite:** Completion of MATH-221 with a minimum grade of C.

The course is an introduction to ordinary differential equations. Such equations are solved by both quantitative and qualitative methods while applications from a variety of disciplines are examined. The course introduces theoretical aspects of differential equations, including establishing criteria for existence of solutions, and techniques for obtaining solutions including, but not limited to, series representation, singular points, Laplace transforms and matrices.

Transfers to both UC/CSU

**MATH-232 3 Units Statistics **

**Prerequisite:** Completion of MATH-93 with a minimum grade of C or appropriate placement.

The use of probability techniques, hypothesis testing, and predictive techniques to facilitate decision-making. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-square and t-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings. Applications using data from disciplines such as business, social sciences, psychology, life science, health science, and education.

Transfers to both UC/CSU

**MATH-235 3 Units Finite Mathematics **

**Prerequisite:** Completion of MATH-94 or MATH-99 with a minimum grade of C.

This course covers linear functions, systems of linear equations and inequalities, matrices, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques and an introduction to probability. Applications from business, economics and social sciences are included in this class.

Transfers to both UC/CSU