Mathematics Courses

This course is the first in the three-course calculus sequence intended for majors in math, engineering, and physical sciences. The course covers elements of analytic geometry, derivatives, limits and continuity, differentiation of algebraic and trigonometric functions, and the definite integral. Application to the sciences are also covered.

Continuation of differential and integral calculus, including transcendental, and inverse functions. Techniques of integration, numerical integration, parametric equations, polar coordinates, sequences, power series and Taylor series. Primarily for mathematics, physical science, and engineering majors.

Vector valued functions, functions of several variables, partial differentiation, multiple integration, change of variables theorem, scalar and vector fields, gradient, divergence, curl, line integral, surface integral, Theorems of Green, Stokes and Gauss, applications.

Introduction to elementary differential equations, including first and second order equations, series solutions, Laplace transforms, and applications.

Introduction to linear algebra: matrices, determinants, systems of equations, vector spaces, linear transformations, eigenvalue, eigenvectors, and applications.

Sets, relations and functions; logic, methods of proof, induction; combinatorics, discrete probability, recursion, and recurrence relations; graphs and trees; logic circuits; finite state machines. Designed for majors in mathematics and computer science.

This calculus course is intended for majors in business and in certain areas of life sciences. The course covers differential calculus of algebraic, exponential, and logarithmic functions, introduction to integral calculus, and applications in business, economics, and the life and social sciences. While this is a terminal course for many programs, some may also require the second course, MTH 16.

Techniques of integration; multivariable calculus; calculus of trigonometric functions; differential equations; Taylor polynomials. Applications in business, economics and the life and social sciences. Integration includes by parts, using tables, and improper integrals. Multivariable calculus topics include partial derivatives and finding local extrema. Differential Equations includes separable equations. Applications include probability distributions.

This course prepares students for enter the calculus sequence intended for majors in mathematics, engineering, and physical sciences. The course covers rational functions and relations with emphasis on logical development and graphing; solutions of polynomial equations and inequalities; the binomial theorem; strengthening of skills on exponential, logarithmic, and trigonometric functions, equations, and graphs; and applications.

College level course in algebra for majors in Business and STEM fields (BSTEM). Concepts covered include polynomial, rational, radical, exponential, piecewise, and logarithmic functions and their graphs; nonlinear systems of equations and inequalities; theory of polynomial equations; and sequences and series.

The study of 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 introduction to vectors.

Methodology and techniques for solving engineering/science problems using numerical-analysis computer-application programs MATLAB, SimuLink, MuPad, and EXCEL. Technical computing and visualization using MATLAB software. Examples and applications from applied-mathematics, physical-mechanics, electrical circuits, biology, thermal systems, fluid systems, and other branches of science and engineering.

Preparation for Calculus for Business and Social Science students. Functions and graphs: polynomials, rational functions, exponential and logarithmic functions, circles, parabolas, binomial theorem, sequences and series. Solving rational, radical, quadratic in form, exponential and logarithmic equations. This course is equivalent to MTH 31 with additional lab hours for students who did not place directly into MTH 31 or for students who place directly into MTH 31 but desire additional instruction.

A review of the core prerequisite skills for college algebra. Intended for students who are concurrently enrolled in MTH 31, College Algebra. Review topics include: Factoring, function concepts, solving and graphing linear equations and inequalities in one and two variables, rational exponents and radicals, definitions of and relationship between exponential and logarithmic functions, properties of logarithm, solving exponential and logarithmic equations. Topics covered in more depth include: Quadratic functions, operations on polynomials and rational expressions, graphing functions using basic translation and reflection, solving systems of equations in three variables. Recommended for students who are committed to an accelerated math pathway for business and life sciences; who have completed intermediate algebra or high school Algebra 2 with a C or higher, especially not recently; and who need more instructional support than MTH 31 alone.

Preparation for Calculus for Business and Social Science students. Functions and graphs: polynomials, rational functions, exponential and logarithmic functions, circles, parabolas, binomial theorem, sequences and series. Solving rational, radical, quadratic in form, exponential and logarithmic equations.

Laboratory, study group, collaborative workshop or computer laboratory time for College Algebra.

Straight lines, systems of linear equations, matrices, systems of linear inequalities, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques and an introduction to probability. Applications in business, economics and the social sciences.

Laboratory, study group, collaborative workshop or computer laboratory time for Finite Mathematics.

Straight lines, systems of linear equations, matrices, systems of linear inequalities, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques and an introduction to probability. Applications in business, economics and the social sciences. This course is equivalent to MTH 33 with additional lab hours for students who did not place directly into MTH 33 or for students who place directly into MTH 33 but desire additional instruction.

Laboratory, study group, collaborative workshop or computer laboratory time for Trigonometry.

Plane trigonometry. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates.

Plane trigonometry. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates. This section include embedded review of basic algebra and geometry topics as needed, to improve understanding of trigonometric topics. This course is equivalent to MTH 36 with additional lab hours for students who did not place directly into MTH 36 or for students who place directly into MTH 36 but desire additional instruction.

Laboratory, study group, collaborative workshop or computer laboratory time for Trigonometry with an Emphasis on its Geometric Foundations.

Plane trigonometry, with topics from plane geometry. Contains the entire subject content of Mathematics 36. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates. Also includes congruence, properties of polygons, parallel lines, similarity, areas, volumes, and coordinate geometry. This class will also include supplemental support material as review of the pre-requisite skills. This course is equivalent to MTH 37 with additional lab hours for students who did not place directly into MTH 37 or for students who place directly into MTH 37 but desire additional instruction.

Plane trigonometry, with topics from plane geometry. Contains the entire subject content of Mathematics 36. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates. Also includes congruence, properties of polygons, parallel lines, similarity, areas, volumes, and coordinate geometry.

Laboratory, study group, collaborative workshop or computer laboratory time for Number Systems.

Development of quantitative reasoning skills through exploration of mathematical topics. Topics include structure of numeration systems including the real number system and its subsystems, number theory, and computational algorithms. This course is equivalent to MTH 41 with additional lab hours for students who did not place directly into MTH 41 or for students who place directly into MTH 41 but desire additional instruction.

Development of mathematical thinking through exploration of the number system. Topics include structure of numeration systems including the real number system and its subsystems, number theory, and computational algorithms. Supports Number Sense Domain in the elementary subject matter preparation standards of the California Commission on Teacher Credentialing.

Descriptive statistics, including measures of central tendency and dispersion; elements of probability; tests of statistical hypotheses (one and two populations); correlation and regression; ANOVA; applications in various fields. Introduction to the use of computer software package to complete both descriptive and inferential statistics problems. This course is equivalent to MTH 43 with additional lab hours for students who did not place directly into MTH 43 or for students who place directly into MTH 43 but desire additional instruction. May not receive credit if Mathematics 35 has been completed. Laboratory, study group, collaborative workshop or computer laboratory time for Introduction to Probability and Statistics.

Laboratory, study group, collaborative workshop or computer laboratory time for Introduction To Probability and Statistics. MTH43W is a support course for students taking MTH43. This is a great class for students who are transitioning to college-level math coursework, who are unsure of their abilities, or who have been out of school for while and want additional support while completing MTH 43.

Descriptive statistics, including measures of central tendency and dispersion; elements of probability; tests of statistical hypotheses (one and two populations); correlation and regression; ANOVA; applications in various fields. Introduction to the use of computer software package to complete both descriptive and inferential statistics problems. May not receive credit if Mathematics 35 has been completed.

Laboratory, study group, collaborative workshop or computer laboratory time for Mathematics for Democracy

An introductory study of the mathematics at the core of the political processes. Topics from statistics include describing data, measures of center and variation, normal distribution, sampling, and polling. Other topics include analysis of various voting methods, analysis of apportionment, the geometry of compactness, redistricting, and gerrymandering. This course does not meet the statistics requirement of some majors (e.g., Psychology, Sociology, Economics, and Business).

An introductory study of mathematical topics, emphasizing real life applications. Topics may include problem solving, geometry, statistics, probability, finance, graph theory, and history and culture of mathematics. Emphasis on real life applications.

Laboratory, study group, collaborative workshop or computer laboratory time for Mathematics for Liberal Arts.

An introductory study of several mathematical topics. Use of mathematics to make informed decisions in different areas of daily life such as finance and politics. Topics include logic, voting, apportionment, probability, statistics, finance, and graph theory. This course is equivalent to MTH 47 with additional lab hours for students who did not place directly into MTH 47 or for students who place directly into MTH 47 but desire additional instruction.

Formulas; inverse, exponential, and logarithmic functions; introduction to descriptive statistics including graphical methods; introduction to probability. Intended for students who do not need calculus.

Equations and formulas; linear functions; scatterplots and linear models; measurement and conversion of units; proportional reasoning and problem solving. Intended for students who do not need calculus.

Equations and formulas; linear, exponential, logarithmic functions; measurement and conversion of units; exponents and scientific notation; introduction to descriptive statistics including graphical methods; introduction to probability. Intended for students who do not need calculus.

Foundational math course designed to prepare students for College Algebra. Mathematical thought and reasoning are developed through concepts including factoring, complex numbers, quadratic equations, parabolas, functions and their graphs, systems of equations, rational exponents, radical equations, absolute value equations and inequalities.

Topics in plane geometry. Includes congruence, similarity, parallel lines, and properties of polygons and circles.

Laboratory, study group, collaborative workshop or computer laboratory time for Plane Geometry.

Brief review of arithmetic, including fractions, decimals, percentages; order of operations, and geometric formulas. Introduction to algebraic concepts, including signed numbers, properties of real numbers, algebraic expressions, linear equations, and graphs.

Provides mathematics students an opportunity to build/maintain mathematics skills with tutorial assistance from an instructor, student tutors, and/or fellow classmates. Students may also use a software program and work on problems at their own pace through active participatory experience.

Review of pre-algebra and study skills required to reassess into a mathematics course or to increase success in your next mathematics course.

Review of elementary and intermediate algebra and study skills required to reassess into a mathematics course or to increase success in your next mathematics course.

Review of precalculus and study skills required to reassess into a mathematics course or to increase success in your next mathematics course.

This noncredit course is part of a noncredit certificate of competency in Prealgebra. This course is free and students may repeat this course until mastery of the skills is met. This is a great class for students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while and want some more mathematics preparation before transitioning to college-level math. This course covers fractions, decimals, and percentages and extends algebraic concepts to include rational and decimal numbers.

This noncredit course is part of a noncredit certificate of competency in Preparation for Statistics and Liberal Arts Math. This course is free and students may repeat this course until mastery of the skills is met. This is a great class for students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while and want some more mathematics preparation before transitioning to college-level math. This course covers the same content as MTH 204A, 204B, 204C, and 204D combined: Whole numbers, integers, rational and decimal numbers, percent, geometry, graphing, and problem solving.

This noncredit course is part of a noncredit certificate of competency in Prealgebra. This course is free and students may repeat this course until mastery of the skills is met. This is a great class for students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while and want some more mathematics preparation before transitioning to college-level math. This course extends prealgebra techniques to solve multi-step application problems. Emphasis is placed on applying problem solving techniques to solve geometric and financial problems. This course also introduces to the Cartesian plane, graphing, and linear functions.

This noncredit course is part of a noncredit certificate of competency in Prealgebra. This course is free and students may repeat this course until mastery of the skills is met. This is a great class for students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while and want some more mathematics preparation before transitioning to college-level math. This course covers a review of arithmetic on whole numbers, place value, and rounding, as well as an introduction to algebraic concepts.

This noncredit course is part of a noncredit certificate of competency in Prealgebra. This course is free and students may repeat this course until mastery of the skills is met. This is a great class for students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while and want some more mathematics preparation before transitioning to college-level math. This course covers an introduction to algebraic concepts, including arithmetic on signed numbers, algebraic expressions, and linear equations.

Review of algebra and study skills required for success in transfer-level mathematics. This course is intended to prepare students for coursework in the Business and STEM pathways.

This noncredit course reviews algebra and study skills required for success in transfer-level mathematics. This course is intended to prepare students for coursework in the Statistics and Liberal Arts Mathematics pathway (non-STEM majors). If you need a refresher on algebra or you want to get a jump-start on your next math class, this course is for you!

This noncredit course is part of a noncredit certificate of competency in preparation for Business and STEM Math. This course is free and students may repeat this course until mastery of the skills is met. This is a great class for students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while and want some more mathematics preparation before transitioning to college-level math. This course includes laboratory, study group, collaborative workshop, or computer laboratory time for College Algebra.

This noncredit course is part of a noncredit certificate of competency in preparation for Statistics and Liberal Arts Math. This course is free and students may repeat this course until mastery of the skills are met. This is a great class for students who are transitioning to college-level math coursework, who are unsure of their abilities, or who have been out of school for while and want additional support while completing MTH 43. This course consists of laboratory, study group, collaborative workshop or computer laboratory time for Introduction To Probability and Statistics, including review of prerequisite skills.

This noncredit course is part of a noncredit certificate of competency in Statistics and Liberal Arts Math. This course is free and students may repeat this course until mastery of the skills is met. This is a great class for students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while and want some more mathematics preparation before transitioning to college-level math. Laboratory, study group, collaborative workshop or computer laboratory time for Mathematics for Liberal Arts.

This noncredit course is part of a noncredit certificate of competency in Preparation for College Mathematics for the Statistics and Liberal Arts pathway. This course is free and is intended to prepare students for the rigor of college-level mathematics coursework required in non-STEM fields. Students may repeat this course until mastery of the skills is met. This course covers the same content as MTH 53 Applied Algebra and Data Analysis. Students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while may prefer to take the noncredit MTH 253 instead of MTH 53 since it is free and may be repeated. This course covers equations and formulas; linear, exponential, logarithmic functions; measurement and conversion of units; exponents and scientific notation; introduction to descriptive statistics including graphical methods; introduction to probability. This course is intended for students who are following the Statistics and Liberal Arts Mathematics pathway.

This noncredit course is part of a noncredit certificate of competency in Preparation for College Mathematics for the Business and STEM pathway. This course is free and is intended to prepare students for the rigor of college-level mathematics coursework required in STEM fields. Students may repeat this course until mastery of the skills is met. This course covers the same content as MTH 55 Intermediate Algebra. Students who are transitioning to college, who are unsure of their abilities, or who have been out of school for while may prefer to take the noncredit MTH 255 instead of MTH 55 since it is free and may be repeated. This course covers topics of Intermediate Algebra, such as quadratic equations, parabolas and circles, functions and their graphs, systems of equations, radical equations, as well as exponential and logarithmic functions and equations. This is a great class for students interested in the Business or STEM fields who want some more preparation before transitioning to college-level math.