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This course is designed to introduce students to library research and resources available in academic libraries. Through effective use of resources in a variety of formats, students learn to access information to meet their research needs. Topics include: finding, evaluating and citing sources. Recommended for all students.

Satisfies Global Citizenship

This course is an introduction to the study of language. It provides an overview of the field of linguistics, its three dimensions of language structure: the sound system (phonetics and phonology), vocabulary (morphology), and grammar (syntax), and the way linguistic structure and context give rise to meaning (semantics and pragmatics). In addition the course considers how social practices are shaped by and shape language use, as well as how language is acquired and learned. The course provides a grounding in linguistics as a field of study, basic analytic skills for viewing and discussing language from a variety of perspectives, and greater awareness of the relevance of language across and within cultures.

Please see “Independent Studies” section.

This course provides an accelerated student-driven path through pre-algebra to intermediate algebra and through the algebra topics and basic elements of exploratory data analysis needed for Elementary Statistics and Finite Mathematics. Students will learn the topics in this course at their own pace in a computer lab with faculty guidance. As students demonstrate proficiency, they will have the opportunity to earn credit for MATH 85, MATH 31, MATH 20, or MATH 50. This course has multiple exit levels where students can earn a grade of “P” for passing the highest-level course mastered and become eligible to enter subsequent courses in their plan of study.

• Prerequisite: MATH 8.

Formerly same course as CS 10.

This course is intended for computer science, engineering, and mathematics majors. Topics include proof techniques, cardinality of sets, partial orderings and equivalence relations, symbolic logic and valid arguments, permutations and combinations with repetition, and an introduction to graph theory.

C-ID: MATH 230.

• Prerequisite: MATH 8.

Topics include vectors and analytic geometry in two and three dimensions, vector functions with applications, partial derivatives, extrema, Lagrange Multipliers, multiple integrals with applications, vector fields. Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem.

C-ID: MATH 250.

• Prerequisite: MATH 8.

Topics include matrices and linear transformations; abstract vector spaces and subspaces; linear independence and bases; determinants; systems of linear equations; eigenvalues and eigenvectors.

C-ID: MATH 240.

• Prerequisite: MATH 8.

This course is an introduction to ordinary differential equations. Topics include first order equations, linear equations, reduction of order, variation of parameters, spring motion and other applications, Cauchy-Euler equations, power series solutions, Laplace transform, and systems of linear differential equations.

• Prerequisite: MATH 31.

Maximum allowable units for MATH 18 and MATH 20 is 5 units.

Topics include linear, quadratic, exponential and logarithmic functions and equations; systems of linear equations and inequalities; sequences and series. The emphasis is on setting up and solving applications of the algebraic material.

MATH 18 is designed for students who are required to complete STAT C1000 (formerly MATH 54) only or MATH 21 only. If you are unsure which transfer level math course you need, it is recommended you take MATH 20.

• Prerequisite: MATH 1.

This course is a continuation of MATH 1, Bridge to College Mathematics (BCM) for students who have already taken BCM and successfully passed the Arithmetic/Pre-algebra level and/or the Elementary Algebra portions of the BCM course. Students enrolled in MATH 1B (BCM 2) will pick up where they left off in BCM and have the opportunity to develop and demonstrate mastery of Elementary Algebra and/or Intermediate Algebra. Based on their proficiency of topics in one or both courses, students will earn a grade of “P” for passing the highest-level course mastered and become eligible to enter subsequent courses in their plan of study.

• Prerequisite: MATH 1B.

This course is a continuation of MATH 1B, Bridge to College Mathematics (BCM 2) for students who have already taken BCM 2 and successfully passed the Elementary Algebra level. Students enrolled in MATH 1C (BCM 3) will pick up where they left off in BCM 2 and have the opportunity to develop and demonstrate mastery of Intermediate Algebra. Based on their proficiency of topics, students will earn a grade of “P” for passing MATH 20.

• Prerequisite: MATH 20 and MATH 32.

*Maximum UC credit for MATH 2, MATH 4, and MATH 26 is 5 units.

An intensive preparation for calculus. This course is intended for computer science, engineering, mathematics, and natural science majors. Topics include algebraic, exponential, logarithmic and trigonometric functions and their inverses and identities, conic sections, sequences, series, the binomial theorem and mathematical induction.

Maximum allowable units for MATH 18 and MATH 20 is 5 units.

Topics include rational, irrational and complex numbers; fundamental operations on algebraic expressions and functions; introduction to polynomial, rational, exponential and logarithmic functions, equations and graphs; circles and parabolas. Emphasis is on advanced algebraic factoring and simplification.

MATH 20 serves as a prerequisite to all college level math classes. Students whose terminal math course is MATH 54 or MATH 21 may want to consider taking MATH 18 or MATH 50 instead.

• Prerequisite: MATH 18 or MATH 20 or MATH 49 or MATH 50.

This is a terminal mathematics course for liberal arts and social science majors. Topics include sets and counting, probability, linear systems, linear programming, statistics, and mathematics of finance, with emphasis on applications.

• Corequisite: MATH 21.

This course provides a review of the core prerequisite skills, competencies, and concepts needed for students who are concurrently enrolled in Finite Mathematics. Topics include theory, procedures, and practices from pre-algebra, beginning algebra, and intermediate algebra. Particular attention is paid to solving and graphing linear equations and inequalities, problem-solving and modeling strategies, translating and interpreting language for the purpose of formulating mathematical phrases and statements, simplifying arithmetic and algebraic expressions, and learning to use the appropriate technology (typically scientific calculators) needed in MATH 21. Pass/No Pass only.

• Prerequisite: MATH 20.

*Maximum UC credit for MATH 2, MATH 4, and MATH 26 is 5 units.

This course is a preparatory course for students anticipating enrollment in MATH 28 (Calculus 1 for Business and Social Science). Topics include algebraic, exponential and logartihmic functions and their graphical representations, and using these functions to model applications in business and social science.

MATH 26 is not recommended as a terminal course to satisfy transfer requirements.

• Corequisite: MATH 26.

This course emphasizes a review of the core prerequisite skills, competencies, and concepts needed in MATH 26. It is intended for majors in business and social science concurrently enrolled in MATH 26, Functions and Modeling for Business and Social Science. Topics include a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, absolute value equations, linear equations and inequalities, simple polynomial equations, exponential and logarithmic expressions and equations, functions including composition and inverses, and an in-depth focus on applications. This course is appropriate for students who are proficient in their beginning algebra skills. Pass/No Pass only.

C-ID: MATH 140.

• Prerequisite: MATH 26.

*Maximum UC credit for MATH 7 and MATH 28 is one course.

This course is intended for students majoring in business or social sciences. It is a survey of differential and integral calculus with business and social science applications. Topics include limits, differential calculus of one variable, including exponential and logarithmic functions, introduction to integral calculus, and mathematics of finance.

• Prerequisite: MATH 28.

*Maximum UC credit for MATH 8 and MATH 29 is one course.

Topics include techniques and applications of integration, improper integrals, functions of several variables, partial derivatives, method of least squares, maxima and minima of functions of several variables with and without constraints, methods of LaGrange Multipliers, double integrals and their application, elementary differential equations with applications, probability and calculus.

• Corequisite: MATH 2.

A review of the core prerequisite skills, competencies, and concepts needed in precalculus. Intended for students who are concurrently enrolled in MATH 2, Precalculus. Topics include concepts from elementary algebra, geometry, and intermediate algebra that are needed to understand the basics of college-level precalculus. Emphasis is placed on real and complex numbers; fundamental operations on algebraic expressions and functions; algebraic factoring and simplification; introduction to functions, equations and graphs; circles and parabolas; properties of geometric figures, similarity, and special right triangles. Pass/No Pass only.