## Courses

### Mathematics

MATH 30, Prealgebra with Basic Mathematics
Lec-87.5 P/NP Available

Addition, subtraction, multiplication and division of signed numbers. Number fluency with
conversions between fractions, decimals and percents. Order of operations, natural number
exponents, and square roots. Simplifying and evaluating algebraic expressions and solving
single-variable linear equations. Applications involving measurements, rates, ratios, proportions,
percents, perimeter, and area.

Units: 5
Credit type: Credit/Nondegree-Applicable
MATH 35, Prealgebra
Lec-87.5

PREREQ.: MATH 30

Review of basic mathematics; measurement systems, length, area, volume, time, and unit conversions; order of operations, signed numbers, integer exponents, square roots, simple equations and formulas, proportions; calculator use, estimation, and number sense; introduction to statistics and data charts; applications.

Units: 5
Credit type: Credit/Nondegree-Applicable

Formerly MATH 835. Recommended for students who need additional preparation before taking MATH 40 or introductory courses in chemistry, physics, engineering technology, economics, or business.

MATH 40, Elementary Algebra
Lec-87.5 P/NP Available

PREREQ.: MATH 30 or MATH 35

Operations on real numbers; evaluating, combining, and simplifying polynomials, rational expressions, integer-exponent expressions, and square root expressions; solving linear and quadratic equations, linear inequalities, and systems of linear equations; graphing lines; and applications. Attention to developing proficiency in communication of mathematics, problem solving, and effective learning skills.

Units: 5
Credit type: Credit/Degree Applicable
MATH 43, Preparation for Liberal Arts Mathematics
Lec-87.5

PREREQ.: MATH 30 or MATH 35

Accelerated preparation for transfer-level liberal arts mathematics. Real numbers and their operations. Measurement, dimensional analysis, unit conversion, proportional reasoning. Perimeter and area. The Pythagorean theorem. Introduction to algebra. Linear modeling. Logic and sets. Emphasis on logical reasoning through applications.

Units: 5
Credit type: Credit/Degree Applicable
MATH 45, Preparation for Statistics
Lec-105

PREREQ.: MATH 30 or MATH 35

Accelerated preparation for transfer-level statistics. Algebra necessary for college-level statistics, including variables, formulas, and linear equations. Ratios, rates, and proportional reasoning; fractions, decimals and percents; evaluating expressions; analyzing algebraic forms of statistical measures; modeling bivariate data with trend lines; graphical and numerical descriptive techniques for quantitative and categorical data.

Units: 6
Credit type: Credit/Degree Applicable
MATH 46, Elementary and Intermediate Algebra
Lec-131.25

PREREQ.: MATH 30 or MATH 35

Accelerated treatment of both elementary and intermediate algebra topics. Polynomials and rational expressions; solving linear, quadratic, and rational equations; linear inequalities; systems of linear equations; graphing lines, parabolas, and circles; radicals and rational exponents; complex numbers; introduction to functions; introduction to exponential functions and logarithms; applications; problem solving skills.

Units: 7.5
Credit type: Credit/Degree Applicable
MATH 55, Geometry
Lec-87.5

PREREQ.: MATH 40 or placement in MATH 60 or 55 or 50

Lines, triangles, quadrilaterals, polygons, circles; congruent triangle and similar triangle proofs; geometric constructions; right triangle trigonometry; analytic geometry; three-dimensional geometry.

Units: 5
Credit type: Credit/Degree Applicable
MATH 60, Intermediate Algebra
Lec-87.5 P/NP Available

PREREQ.: MATH 40 ADVISE: MATH 55

Polynomials and rational expressions; solving linear, quadratic, and rational equations; linear inequalities; systems of linear equations; graphing lines, parabolas, and circles; radicals and rational exponents; complex numbers; introduction to functions; introduction to exponential functions and logarithms; applications; problem solving skills.

Units: 5
Credit type: Credit/Degree Applicable
MATH 70, Liberal Arts Math
Lec-52.5 P/NP Available

PREREQ.: MATH 43 or MATH 60 or placement in MATH 70

Survey of mathematics for students with nontechnical goals. Topics include problem solving, set theory, logic, number theory, modeling with functions, geometry, finance, combinatorics, probability, and the role of mathematics in modern society. This course is designed to enhance student appreciation of both the beauty and utility of mathematics.

UC/CSU
Units: 3
Credit type: Credit/Degree Applicable
MATH 75, Mathematical Analysis for Business
Lec-52.5 P/NP Available

PREREQ.: MATH 60 or MATH 92

Linear, quadratic, algebraic, exponential, and logarithmic functions with applications to business and economics; interest and ordinary annuity problems; introduction to differential and integral calculus of one variable with applications to business and economics.

UC/CSU
Units: 3
Credit type: Credit/Degree Applicable
MATH 80, Probability and Statistics
Lec-87.5 P/NP Available

PREREQ.: MATH 45 or MATH 60 or MATH 92

Descriptive statistics: organization of data, sample surveys, experiments and observational studies, measures of central tendency and dispersion, correlation, regression lines, and analysis of variance (ANOVA). Probability theory. Random variables: expected value, variance, independence, probability distributions, normal approximation. Sampling: sampling distributions, and statistical inference, estimating population parameters, interval estimation, standard tests of hypotheses.

UC/CSU
Units: 5
Credit type: Credit/Degree Applicable
MATH 80S, Support for Probability and Statistics
Lec-35 P/NP Only

COREQ.: MATH 80

Support for students who are concurrently enrolled in MATH 80, Probability and Statistics. Topics include concepts and skills from arithmetic, pre-algebra, elementary and intermediate algebra, and descriptive statistics that are needed to understand the basics of college-level statistics. Concepts are taught in the context of the linked Math 80 course.

Units: 2
Credit type: Credit/Nondegree-Applicable
MATH 90, Precalculus Algebra
Lec-87.5 P/NP Available

PREREQ.: MATH 60 or placement in MATH 90 + 90S or higher

Real functions and their graphs; one-to-one and inverse functions; polynomial, rational,
exponential and logarithmic functions; complex numbers and zeros of polynomials; linear
systems and matrices; geometric transformations and conic sections; topics in discrete
mathematics.

UC/CSU
Units: 5
Credit type: Credit/Degree Applicable

Not recommended for students who have passed MATH 92.

MATH 90S, Support for Precalculus Algebra
Lec-52.5 P/NP Only

COREQ.: MATH 90

Support for students who are concurrently enrolled in MATH 90, Precalculus Algebra. Topics include concepts and skills from elementary and intermediate algebra that are needed to understand the basics of precalculus algebra. Concepts are taught in the context of the linked Math 90 course.

Units: 3
Credit type: Credit/Nondegree-Applicable
MATH 92, College Algebra
Lec-87.5

PREREQ: MATH 40 or (placement in MATH 92 or MATH 90+90S or higher)

Polynomial and rational expressions; radicals and rational exponents; equations and inequalities; real functions and their graphs; one-to-one and inverse functions; exponential and logarithmic functions; complex numbers and zeros of polynomials; linear systems and matrices; geometric transformations and conic sections; topics in discrete mathematics; applications.

CSU
Units: 5
Credit type: Credit/Degree Applicable

Recommended for students with strong mathematical background and performance. Not recommended for students who have passed MATH 90.

MATH 95, Trigonometry
Lec-52.5 P/NP Available

PREREQ.: MATH 60 or placement in MATH 95 ADVISE: Completion of or concurrent enrollment in: MATH 90

Trigonometric functions and their graphs; trigonometric identities and equations; inverse trigonometric functions; solving triangles; complex numbers.

CSU
Units: 3
Credit type: Credit/Degree Applicable
MATH 98, PreCalculus & Trigonometry
Lec-122.5

PREREQ: MATH 60 or MATH 46 or (placement into MATH 90 or MATH 95)

Complete both precalculus Algebra and Trigonometry by taking this single class.? Topics covered include real functions and their graphs; one-to-one and inverse functions; algebraic, exponential and logarithmic, and trigonometric functions; complex numbers and zeros of polynomials; matrices; transformations and conic sections; discrete mathematics; polar coordinates; and applications of trigonometric identities.

CSU
Units: 7
Credit type: Credit/Degree Applicable

MATH 98 = MATH 90 + MATH 95

MATH 100A, Short Calculus I
Lec-52.5 P/NP Available

PREREQ.: MATH 90 or MATH 92 or placement in MATH 100A or 110A

Lines, algebraic functions, exponential functions, logarithmic functions, limits, derivatives, and integrals, with applications.

UC/CSU
Units: 3
Credit type: Credit/Degree Applicable

The calculus sequence of MATH 100A-100B is intended for students majoring in Business, Technology, Social Sciences, or Life Sciences.

MATH 100B, Short Calculus II
Lec-52.5

PREREQ.: MATH 100A

The second course in a two-semester sequence in applied calculus. Techniques of integration, periodic functions, Taylor polynomials, multi-variable calculus, and differential equations, with applications to business, economics, and science.

UC/CSU
Units: 3
Credit type: Credit/Degree Applicable

The calculus sequence of MATH 100A-100B is intended for students majoring in business, technology, social sciences, or life sciences.

MATH 108, Foundations of Data Science
Lec-87.5

PREREQ: MATH 40 or MATH 45 or (placement into MATH 80 + 80S or above.)

Foundations of Data Science combines an introductory look into the fundamental skills and concepts of computer programming and inferential statistics with hands-on experience in analyzing datasets by using common tools within the industry. Additionally, the course investigates ethical issues surrounding Data Science such as data privacy.

CSU
Units: 5
Credit type: Credit/Degree Applicable
MATH 110A, Calculus I
Lec-87.5 P/NP Available

PREREQ.: (MATH 90 and MATH 95) or (MATH 92 and MATH 95) or placement in MATH 110A

A first course in single-variable calculus. Limits, continuity, differentiation, applications of differentiation, and an introduction to integration.

UC/CSU
Units: 5
Credit type: Credit/Degree Applicable
MATH 110B, Calculus II
Lec-87.5

PREREQ.: MATH 110A or placement in MATH 110B

A second course in single-variable calculus. Applications of integration, techniques of integration, numerical integration, indeterminate forms, improper integrals, parametrized curves, polar coordinates, infinite sequences and series, and power series.

UC/CSU
Units: 5
Credit type: Credit/Degree Applicable
MATH 110C, Calculus III
Lec-87.5

PREREQ.: MATH 110B

Vectors, curves and surfaces in 3-dimensional space, differentiation and integration of multivariate functions, line and surface integrals, and, in particular, the theorems of Green, Stokes, and Gauss.

UC/CSU
Units: 5
Credit type: Credit/Degree Applicable
MATH 115, Discrete Mathematics
Lec-52.5

PREREQ.: MATH 100A or MATH 110A ADVISE: CS 110B or CS 111B

Set theory, logic, proof techniques, mathematical induction, relations and functions, recursion, combinatorics, elementary number theory, trees and graphs, analysis of algorithms. Emphasis on topics of relevance to mathematics and computer science majors.

UC/CSU
Units: 3
Credit type: Credit/Degree Applicable
MATH 120, Linear Algebra
Lec-52.5

PREREQ.: Completion of or concurrent enrollment in: MATH 110C

Real vector spaces, subspaces, linear dependence and span, matrix algebra and determinants, basis and dimension, inner product spaces, linear transformations, eigenvalues and eigenvectors, proofs of basic results.

UC/CSU
Units: 3
Credit type: Credit/Degree Applicable
MATH 125, Differential Equations
Lec-52.5

PREREQ.: MATH 110C

Ordinary differential equations and first order linear systems of differential equations; methods of explicit solution; qualitative methods for the behavior of solutions; theoretical results for the linear structure, existence, and uniqueness of solutions.

UC/CSU
Units: 3
Credit type: Credit/Degree Applicable
MATH 130, Linear Algebra and Differential Equations
Lec-87.5 P/NP Available

PREREQ.: MATH 110C

Real vector spaces, subspaces, linear dependence, span, matrix algebra, determinants, basis, dimension, inner product spaces, linear transformations, eigenvalues, eigenvectors, and proofs. Ordinary differential equations and first-order linear systems of differential equations; explicit solutions; qualitative analysis of solution behavior; linear structure, existence, and uniqueness of solutions. Partial differential equations.

UC/CSU
Units: 5
Credit type: Credit/Degree Applicable