Mathematics (MATH)

MATH 047  Fresh Start Academy Statistics  (0.0 Units)  

This noncredit course is offered as a study or review of the fundamental concepts of beginning algebra and statistics. The course is intended for students who need to refresh their math skills prior to taking a college level statistics course. This course will not apply to the Associate Degree.

Lecture Hours: 32.0

Transfer: Not transferable

MATH 048  Fresh Start Academy Algebra  (0.0 Units)  

This noncredit course is offered as a study or review of the fundamental concepts of beginning algebra and intermediate algebra as appropriate. The course is intended for students who need to refresh their math skills prior to taking a college level math course. This course will not apply to the Associate degree.

Lecture Hours: 27.0

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. This course will not apply to the Associate Degree.

Lab Hours: 54.0

Transfer: Not transferable

MATH 80  Corequisite Support for Introductory Statistics  (2.0 Units)  

A review of the core prerequisite skills, competencies, and concepts needed in Introduction to Statistics. 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: 36.0

Transfer: Not transferable

MATH 85  Corequisite Support for College Algebra  (2.0 Units)  

A review of the core prerequisite skills, competencies, and concepts needed in College Algebra. 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: 36.0

Transfer: Not transferable

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

A review of the core prerequisite skills, competencies, and concepts needed in first semester calculus. 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: 36.0

Transfer: Not transferable

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

A review of the core prerequisite skills, competencies, and concepts needed in second semester calculus. 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: 36.0

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. CSU/UC

Prerequisite(s): MATH 90, Minimum grade C

Lecture Hours: 72.0

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. CSU

Lecture Hours: 72.0

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). CSU,UC

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

Lecture Hours: 72.0

Transfer: Transfers to both UC/CSU

MATH 114  Mathematical Concepts for Elementary School Teachers  (3.0 Units)  

This course focuses on the development of quantitative reasoning skills through in-depth, integrated explorations of topics in mathematics, including real number systems and subsystems. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. All topics will be taught through a pedagogical lens with support activities for students.

Prerequisite(s): MATH 90, MATH 90S or completion of two years of high school algebra, Minimum grade C

Lecture Hours: 54.0

Transfer: Transfers to CSU only

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. C-ID: MATH 110. CSU,UC

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

Lecture Hours: 72.0

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. C-ID: MATH 110. CSU/UC

Lecture Hours: 90.0

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. CSU

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. CSU

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. CSU

Prerequisite(s): MATH 129BH, Minimum grade C

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. CSU/UC

Lecture Hours: 54.0

Transfer: Transfers to both UC/CSU

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. CSU/UC

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

Lecture Hours: 72.0

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. C-ID: MATH 210. CSU/UC

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

Lecture Hours: 72.0

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. C-ID: MATH 221. CSU,UC

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

Lecture Hours: 72.0

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.) UC credit limitation). C-ID: MATH 220. CSU/UC

Prerequisite(s): MATH 226 or MATH 226H

Lecture Hours: 72.0

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. CSU,UC

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

Lecture Hours: 90.0

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). CSU/UC

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

Lecture Hours: 90.0

Transfer: Transfers to both UC/CSU

MATH 231  Linear Algebra  (3.0 Units)  

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. Investigates the properties of vectors 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. CSU/UC

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

Lecture Hours: 54.0

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. CSU,UC

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

Lecture Hours: 54.0

Transfer: Transfers to both UC/CSU