**MATH 54 Algebra for Statistics
**

*6 units/6 hours lecture/Prerequisite: Math 15*

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.

**MATH 55 Geometry**

*4 units/4 hours lecture/Prerequisite: Either MATH 50, MATH 50B, or MATH 53*

Fundamentals of plane geometry and selected topics from solid geometry developed by both inductive and deductive processes. Especially recommended for prospective teachers and/or students who will be taking Trigonometry.

**MATH 56 Beginning/Intermediate Algebra**

*6 units/6 hours lecture/Prerequisite: Math 50, Math 50B, or Math 53*

A review of elementary algebra and in-depth coverage of intermediate algebra intended for the student who has previous experience with algebra. Meets requirement for the A.A. degree. Meets prerequisite requirement for mathematics course numbers 100-120.

**MATH 60 Intermediate Algebra ^{*†}**

*4 units/4 hours lecture/Prerequisite: Math 50, Math 50B, or Math 53*

Graphic, numeric, analytic and applied perspectives on topics including linear, quadratic, exponential and logarithmic functions, exponents and radicals, linear and nonlinear systems of equations and inequalities.

**MATH 63 Intermediate Algebra with Geometry**

*8 units/8 hours lecture/Prerequisite: Math 50, Math 50B, or Math 53*

Covers intermediate algebra. Also covers geometric topics including similarity, right triangle trigonometry, and coordinate geometry. Emphasis is placed on understanding concepts rather than rote memorization of formulas.

**MATH 75 STEM Prep Math I**

*2 units/2 hours lecture/Prerequisite: Math 50, Math 50B, or Math 53, or eligibility determined through the math placement process/**Corequisite: Math 110
*STEM Prep Math I provides an introduction to functions for students who plan on taking calculus courses or pursuing science, technology, engineering, or mathematics coursework that requires a thorough knowledge of functions and algebraic reasoning. This course provides just-in-time support for college level math skills and concepts in College Algebra. Focus is on function notation, operations and multiple representations of functions including linear, quadratic, exponential and log functions, as well as contextualized problem solving both individually and in teams. This course is designed to be taken concurrently with College Algebra in the first semester of an accelerated pathway to Calculus.

**MATH 76 STEM Prep Math II**

*1 unit/ 3 hours laboratory/Corequisite: Math 115*

STEM Prep Math II provides an introduction to algebraic and geometric reasoning for students who plan on taking calculus courses or pursuing science, technology, engineering, or mathematics coursework that requires a thorough knowledge of functions and algebraic reasoning. This course provides just-in-time support for college level math skills and concepts in Trigonometry. Focus is on function notation, operations and multiple representations of functions, formulas and functions defined geometrically, as well as contextualized problem solving both individually and in teams. This course is designed to be taken concurrently with Trigonometry in the second semester of an accelerated pathway to Calculus.

**MATH 97 Mathematics Topics**

*.5 – 4 units/Prerequisite: Math 50, Math 50B, or Math 53
*Units awarded in topics courses are dependent upon the number of hours required of the student. Any combination of lecture and/or laboratory may be scheduled by the department. Refer to Class Schedule. Topics in Mathematics. See Class Schedule for specific topic offered. Course title will designate subject covered.

**MATH 100 Exploring Mathematics**

*3 units/3 hours lecture/Prerequisite: Math 56 or Math 60/Transfer acceptability: CSU; UC*

Selected topics from logic, modern algebra, number theory, and geometry. Designed to give the student an introduction to the structure of mathematics and its applications. Recommended for liberal arts students.

**MATH 105 Concepts of Elementary Mathematics I**

*3 units/3 hours lecture/Prerequisite: Math 56 or Math 60/Transfer acceptability: CSU; UC*

Selected topics from the real number system including properties and operations with integers and rational numbers as fractions and decimals. Additional topics include problem solving, numeration systems, number theory, and topics in logic and set theory. Recommended for prospective teachers.

**MATH 106 Concepts of Elementary Mathematics II**

*3 units/3 hours lecture/Prerequisite: Math 105 Transfer acceptability: CSU; UC*

An extension of Mathematics 105, including selected topics from two-and-threedimensional geometry, motion geometry, and measurement. Recommended for prospective elementary and junior high school teachers, parents, and liberal arts students.

**MATH 110 College Algebra**

*4 units/4 hours lecture/Prerequisite: Math 56 or Math 60/Transfer acceptability: CSU; UC*

Study of the behavior and characteristics of functions from graphic, numeric, analytic and applied perspectives, including general polynomial functions, rational functions, exponential and logarithmic functions, and sequences. Systems of equations in several variables with an emphasis in matrix solutions.

**MATH 115 Trigonometry**

*3 units/3 hours lecture/Prerequisite: Math 56 or Math 60/Transfer acceptability: CSU*

The trigonometric functions and their applications including emphasis on the analytical aspects, identities, and trigonometric equations.

**MATH 120 Elementary Statistics ^{*}**

*4 units/4 hours lecture/Prerequisite: Math 56 or Math 60/Transfer acceptability: CSU; UC*

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 interpretation of the relevance of the statistical findings. Applications using data from disciplines including business, social sciences, psychology, life science, health science and education.

**MATH 130 Calculus for Business and the Social Sciences**

*4 units/4 hours lecture/Prerequisite: Math 110/*Transfer acceptability: CSU; UC

Functions and their graphs including exponential and logarithmic functions, single variable calculus, limits, differentiation, integration and their applications, multivariable calculus, with application to business, social sciences and behavioral science.

**MATH 135 Precalculus Mathematics
**

*5 units/5 hours lecture/Prerequisite: Math 115/Transfer acceptability: CSU; UC*

Designed for students who intend to take calculus. Emphasizes study of the behavior and characteristics of functions from graphic, numerical, analytic, and applied perspectives. Includes trigonometric functions, general polynomial functions, rational functions, exponential functions, logarithmic functions, absolute value functions, functions with rational exponents, and sequences. Selected topics from analytic geometry and linear systems are also presented.

**MATH 140 Calculus With Analytic Geometry, First Course
**

*5 units/5 hours lecture/Prerequisite: Math 135, or Math 110 and Math 115/Transfer acceptability: CSU; UC*

An introduction to analytic geometry, differentiation and integration of algebraic and transcendental functions of a single variable, and applications of differentiation.

**MATH 141 Calculus With Analytic Geometry, Second Course**

*4 units/4 hours lecture/Prerequisite: Math 140 Transfer acceptability: CSU; UC*

Continuation of MATH 140. Topics include definite integrals and their applications; methods of integration (including the use of modern computational technology as appropriate); indeterminate forms; improper integrals; sequences; infinite series; Taylor series; conic sections; polar coordinate; and parametric equations from analytic, graphic, and numeric perspectives.

**MATH 146 Fortran-90 for Mathematics and Science
**

*3 units/2 hours lecture, 3 hours laboratory/Prerequisite: Math 135, or Math 110 and Math 115/Transfer acceptability: CSU; UC*

Programming in FORTRAN 90 to solve typical problems in mathematics, computer science, physical sciences, and engineering. Programming is done on a PC.

**MATH 197 Mathematics Topics**

*.5 – 4 units/Prerequisite: Math 56 or Math 60/Transfer acceptability: CSU; UC – Credit determined by UC upon review of course syllabus Topics in Mathematics.
*Units awarded in topics courses are dependent upon the number of hours required of the student. Any combination of lecture and/or laboratory may be scheduled by the department. Refer to Class Schedule. , or eligibility determined through the math placement process See Class Schedule for specific topic offered. Course title will designate subject covered.

**MATH 200 Introduction to Linear Algebra**

*3 units/3 hours lecture/Prerequisite: Math 141/Transfer acceptability: CSU; UC*

Matrices, determinants, vectors, linear dependence and independence, basis and change of basis, linear transformations, and eigen values.

**MATH 205 Calculus With Analytic Geometry, Third Course**

*4 units/4 hours lecture/Prerequisite: Math 141/Transfer acceptability: CSU; UC*

Vectors in the plane and space, three-dimensional coordinate system and graphing, vector-valued functions and differential geometry, partial differentiation, multiple integration, and vector calculus.

**MATH 206 Calculus With Differential Equations**

*4 units/4 hours lecture/Prerequisite: Math 205/Transfer acceptability: CSU; UC*

A first course in ordinary differential equations from analytic, geometric, numeric and applied perspectives (including the use of modern computational technology as appropriate). Topics include exact, separable, and linear equations; initial value and boundary-value problems; systems of first-order equations; reduction of order; undetermined coefficients; variation of parameters; series solutions; and Laplace transforms.

**MATH 245 Discrete Mathematics**

*3 units/3 hours lecture/Prerequisite: Math 130 or Math 140/Transfer acceptability: CSU; UC*

The study of prepositional and predicate logic, number theory and methods of proof, elements of set theory, relations and functions, the Pigeonhole Principle, sequences, infinite sets, basic counting techniques, permutations, combinations, graphs and trees, and applications directed to the field of computer science.

* Course is also available in an online format.

† Course is also available in a hybrid format.