# Mathematics (MATH)

MATH 10  Basic Math Skills  (3.0 Units)

This course covers the basic operations applied to whole numbers, fractions (including mixed numbers) and decimals. Prime factorization, least common multiple, ratio and proportion, similar triangles, averages; graphs and tables, square roots, the Pythagorean theroem, measurement, operations on signed-numbers and solutions of simple linear equations are also covered. This course does not apply to the Associate Degree.

Lecture Hours: 54.00

Transfer: Not transferable

MATH 12  Pre-Algebra  (3.0 Units)

This course covers operations on whole numbers, integers, fractions, and decimals with a strong emphasis on solving equations and problem solving in order to prepare students for Introductory Algebra. The course introduces graphing linear equations, working with polynomials, and basic geometrical concepts. This course not associate degree applicable.

Lecture Hours: 54.00

Transfer: Not transferable

MATH 42  Elementary Algebra  (4.0 Units)

This course covers a review of arithmetic operations with whole, decimal, fractional and signed numbers, exponential notation, percentages, and order of operations. Algebraic expressions, solving and graphing linear equations and inequalities, polynomial operations and polynomial factoring, rational and radical expressions and equations, quadratic equations and solutions to quadratic equations are also covered. This course does not apply to the Associate Degree.

Lecture Hours: 72.00

Transfer: Not transferable

MATH 42S  Elementary Algebra With Skills Support  (5.0 Units)

This course covers a review of arithmetic operations with whole, decimal, fractional and signed numbers, exponential notation, percentages, and order of operations. Algebraic expressions, solving and graphing linear equations and inequalities, polynomial operations and polynomial factoring, rational and radical expressions and equations, quadratic equations and solutions to quadratic equations are also covered. This course does not apply to the Associate Degree. This class focuses on study skills and extra support for students by teaching some concepts using different learning modalities.

Lecture Hours: 90.00

Transfer: Not transferable

MATH 049  Preparation for College Mathematics  (0.0 Units)

This non-credit course will help students prepare for transfer-level math courses by reviewing content from introductory and intermediate algebra courses. Topics will include the solving and graphing of equations and systems of equations, both linear and nonlinear. This course will also cover properties of real numbers, exponents, radicals and complex numbers, as well as topics such as factoring, rational expressions, complex numbers, logarithms, and applications.

Lab Hours: 54.00

Transfer: Not transferable

MATH 63  Pre-Statistics Mathematics  (5.0 Units)

The core algebra skills needed to understand the concepts, formulas, and graphs used in transfer-level statistics are investigated. Integrates numeracy, proportional reasoning, algebraic reasoning, and functions. Develops conceptual and procedural tools that support the use of key mathematical concepts in a variety of contexts. Throughout the course, college success content will be integrated with mathematical topics. This course is NOT intended for math, science, computer science, business, or engineering majors.

Lecture Hours: 90.00

Transfer: Not transferable

MATH 80  Corequisite Support for Introductory Statistics  (2.0 Units)

A review of the core Intended for students who are concurrently enrolled in Math 120, College Introduction to Statistics. Topics include a review of skills such as decimals, ratios, percents and proportions, solving and graphing linear equations, interpretation of slope, as well as basic probability. This course will also provide additional instruction and activities related to the key concepts learned in Math 120.

Lecture Hours: 36.00

Transfer: Not transferable

MATH 85  Corequisite Support for College Algebra  (2.0 Units)

A review of the core Intended for students who are concurrently enrolled in Math 105, College Algebra. Topics include a review of skills developed in Elementary and Intermediate Algebra such as solving and graphing equations (linear, quadratic, rational, radical, logarithmic and exponential) and inequalities, solving systems of equations, factoring, functions, and transformations.

Lecture Hours: 36.00

Transfer: Not transferable

MATH 86  Corequisite Support for Analytic Geometry and Calculus I  (2.0 Units)

A review of the core Students may concurrently enroll in Math 226 or Math 226H. Topics include a review of equation solving and graphing skills developed in algebra and trigonometry as well as a just-in-time review of operations on functions and geometrical concepts as needed.

Lecture Hours: 36.00

Transfer: Not transferable

MATH 87  Corequisite Support for Analytic Geometry and Calculus II  (2.0 Units)

A review of the core Students may concurrently enroll in Math 227 or Math 227H. Topics include a review of differentiation and integration developed in first semester calculus as well as a just-in-time review of other skills needed in second semester calculus, such as partial fraction decomposition, series and sequences, graphing and trigonometry.

Lecture Hours: 36.00

Transfer: Not transferable

MATH 90  Intermediate Algebra  (4.0 Units)

This course is designed to serve as preparation for the study of College Algebra, Statistics, Trigonometry and other college mathematics courses. Topics include a review of the real number system, an introduction to imaginary and complex numbers, the solution of first degree, quadratic and systems of equations, polynomials, rational expressions, exponents and radicals, graphs of functions (both linear and nonlinear) and of relations, and exponential and logarithmic functions.

Lecture Hours: 72.00

Transfer: Not transferable

MATH 90S  Intermediate Algebra With Skills Support  (5.0 Units)

This course is designed to serve as preparation for the study of College Algebra and Trigonometry and other college mathematics courses. Topics include a review of the real number system, an introduction to imaginary and complex numbers, the solution of first degree, quadratic and systems of equations, polynomials, rational expressions, exponents and radicals, graphs of functions (both linear and nonlinear) and of relations, and exponential and logarithmic functions. This class also focuses on study skills and extra support for students by teaching some concepts using different learning modalities.

Lecture Hours: 90.00

Transfer: Not transferable

MATH 103  College Algebra for Allied Health  (4.0 Units)

College level course in algebra for Allied Health majors: Functions including linear, polynomial, absolute value, rational, radical, exponential, logarithmic: definitions, evaluation, domain and range of each; Algebra of functions; Direct and inverse variation models; Graphs of functions including asymptotic behavior, intercepts, vertices; Equations including rational, linear, absolute value, polynomial, radical, exponential, logarithmic; Linear and nonlinear inequalities; Systems of equations; Complex numbers; Substantial introduction to Inverses of functions, logarithmic, and exponential functions; Applications in science and health topics.

Co-requisite(s): Take MATH 90 or higher

Lecture Hours: 72.00

Transfer: Transfers to both UC/CSU

MATH 104  Trigonometry  (4.0 Units)

Topics for this preparatory course for calculus include trigonometric functions and equations, solutions of both right and oblique triangles, trigonometric forms of complex numbers and De Moivre's Theorem. Course content also includes verification of trigonometric identities, inverse trigonometric functions, half and multiple angles, vectors and their applications, parametric equations, polar coordinates and polar equations.

Lecture Hours: 72.00

Transfer: Transfers to CSU only

MATH 105  College Algebra  (4.0 Units)

The course offers a review of real numbers, real number exponents, and factoring polynomials. The course also covers equations and inequalities, solutions to systems of equations and inequalities, solutions to equations and inequalities involving absolute value, graphing relations and functions, matrices, determinants of matrices, matrix algebra. Complex numbers, the real and complex zeros of polynomials, the zeros of exponential, rational and radical functions, the conic sections, sequences, mathematical inducation and the binomial theorem are also covered. (UC credit limitation).

Co-requisite(s): MATH 90, MATH 90S or MATH 85, Minimum grade C;

Lecture Hours: 72.00

Transfer: Transfers to both UC/CSU

MATH 105H  Honors College Algebra  (4.0 Units)

This course covers all the topics of the regular Math 105 course, but the topics are covered in greater depth. Exponents and Radicals, Theory of Quadratic Equations, Simultaneous Quadratic Equations, Complex Numbers, Equations of Higher Degree, Inequalities, Logarithmic and Exponential Equations, Binomial Theorem, Matrices and Determinants, Partial Fractions, Sequences and Series. (UC credit limitation).

Prerequisite(s): MATH 90 or MATH 90S; Minimum Grade C

Lecture Hours: 72.00

Transfer: Transfers to both UC/CSU

MATH 120  Introduction to Statistics  (4.0 Units)

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 including business, social sciences, psychology, life science, health science, and education.

Co-requisite(s): MATH 90, MATH 90S, MATH 63, or MATH 80

Lecture Hours: 72.00

Transfer: Transfers to both UC/CSU

MATH 120H  Honors Introduction to Statistics  (4.0 Units)

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 including business, social sciences, psychology, life science, health science, and education. In addition, the Honors component will include the design of surveys, probability testing, and a research project.

Prerequisite(s): MATH 90 or MATH 63 or MATH 66 Minimum grade C.

Lecture Hours: 72.00

Transfer: Transfers to both UC/CSU

MATH 120S  Introduction to Statistics With Skills Support  (5.0 Units)

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 including business, social sciences, psychology, life science, health science, and education. This class also focuses on study skills and extra support for students by teaching some concepts using different learning modalities.

Lecture Hours: 90.00

Transfer: Transfers to both UC/CSU

MATH 129  Independent Study  (1-3 Units)

Independent study provides individual students challenging and in-depth study on approved topics within any subject area. Independent study proposals must have the approval of the instructor and appropriate administrator. It is expected that the study will not duplicate existing curriculum; rather, it will be of an advanced nature and extend approved courses or series of courses. Interested students should contact discipline faculty for more information

Transfer: Transfers to CSU only

MATH 129AH  Independent Study Honors-First Semester  (1.0 Units)

This first semester honors independent study course is intended to be an in-depth study of advanced topics. The study will not duplicate existing curriculum; rather, it will be of an advanced nature.

Transfer: Transfers to CSU only

MATH 129BH  Independent Study Honors-Second Semester  (1.0 Units)

This second semester honors independent study course is intended to be an in-depth study of advanced topics. The study will not duplicate existing curriculum; rather, it will be of an advanced nature.

Prerequisite(s): MATH 129AH Minimum grade C

Transfer: Transfers to CSU only

MATH 129CH  Independent Study Honors-Third Semester  (1.0 Units)

This third semester honors independent study course is intended to be an in-depth study of advanced topics. The study will not duplicate existing curriculum; rather, it will be of an advanced nature.

Prerequisite(s): MATH 129BH;

Transfer: Transfers to CSU only

MATH 132  The Ideas of Math  (3.0 Units)

Sets and their application to permutations, combinations, finite probability measures and expectation; statistics; linear and exponential modeling; financial mathematics, and geometry.

Lecture Hours: 54.00

Transfer: Transfers to both UC/CSU

MATH 138  Coop Ed Math  (1-8 Units)

Cooperative Education: This course is designed for students who are cross-training at their current worksite for upward mobility or possible career changes, as well as those looking for entry-level occupational training through work-based learning experiences. Students must have a co-op approved worksite to enroll in this class and establish new learning objectives. Please refer to the Cooperative Education section in this catalog for more information

Transfer: Transfers to CSU only

MATH 226  Analytic Geometry and Calculus I  (4.0 Units)

This class offers an introduction to the calculus of single variables. Topics covered include limits, using limits of functions to determine continuity, finding derivatives and integrals of functions, basic properties of derivatives and integrals, the relationship between derivatives and integrals as given by the Fundamental Theorem of Calculus, and applications.

Prerequisite(s): MATH 104 and MATH 105 or MATH 105H; Minimum grade C

Lecture Hours: 72.00

Transfer: Transfers to both UC/CSU

MATH 226H  Honors Analytic Geometry and Calculus I  (4.0 Units)

As an introduction to the calculus of single variables, students will develop the concept of limit; apply limits to functions to determine if they are continuous; find the derivative and determine integrals. Students will study the properties of the derivative and integral, their relationship to each other given by the Fundamental Theorem of Calculus. The student will also learn to read and write simple proofs. (UC credit limitation). , UC

Prerequisite(s): MATH 104 and MATH 105 (or MATH 105H) Minimum grade C

Lecture Hours: 72.00

Transfer: Transfers to both UC/CSU

MATH 227  Analytic Geometry and Calculus II  (4.0 Units)

This second course in differential and integral calculus of a single variable: integration; techniques of integration; infinite sequences and series; polar and parametric equations; applications of integration.

Prerequisite(s): MATH 226 or MATH 226H, Minimum grade C

Lecture Hours: 72.00

Transfer: Transfers to both UC/CSU

MATH 227H  Honors Analytic Geometry and Calculus II  (4.0 Units)

The second course in differential and integral calculus of a single variable: integration; techniques of integration; infinite sequences and series; polar and parametric equations; applications of integration. In addition, the honors component will include reading proofs, writing complete proofs from sketches of proofs and applying techniques learned to real-life problems.

Lecture Hours: 72.00

Transfer: Transfers to both UC/CSU

MATH 228  Analytic Geometry and Calculus III  (5.0 Units)

This course covers vectors and the geometry of space, vector-valued functions, the calculus of several variables, multiple integration, Green's Theorem, divergence theorem, Stoke's Theorem, and applications.

Prerequisite(s): MATH 227 or MATH 227H; Minimum grade C

Lecture Hours: 90.00

Transfer: Transfers to both UC/CSU

MATH 228H  Honors Analytic Geometry and Calculs III  (5.0 Units)

Vectors and the geometry of space, vector-valued functions, the calculus of function of several variables, multiple integration, Green's Theorem, divergence theorem, Stoke's Theorem, and applications. In addition the honors component will include reading proofs, writing complete proofs and applying techniques learned to real-life problems. UC credit limitation.

Lecture Hours: 90.00

Transfer: Transfers to both UC/CSU

MATH 231  Linear Algebra  (3.0 Units)

An introduction to linear algebra that compliments advanced courses in calculus. Topics include systems of linear equations, matrix operations, determinants, vectors and vector spaces, eigenvalues and eigenvectors and linear transformations; with orthogonality, inner product spaces and numerical methods if time permits.

Co-requisite(s): MATH 226 or MATH 226H; Minimum grade C

Lecture Hours: 54.00

Transfer: Transfers to both UC/CSU

MATH 270  Differential Equations  (3.0 Units)

This course covers elementary differential equations, solutions of first order equations, linear equations with constant coefficients, simultaneous linear systems, series solutions, the Laplace transform, and applications to physics and engineering.

Prerequisite(s): MATH 227 or MATH 227H; Minimum grade C

Lecture Hours: 54.00

Transfer: Transfers to both UC/CSU