3 Units Not Degree Applicable 54 hours lecture Prerequisite: Credit in LERN 49 or qualifying score on current department placement test Fundamental principles of mathematics designed to ease the transition from arithmetic to algebra. Concepts, computational skills, thinking skills and problem-solving skills are balanced to build proficiency and mastery.
1 Unit Not Degree Applicable (May be taken for Pass/No Pass only) 18 hours lecture Learning tools, plans and proper perspectives for math learning improvement. Use of natural intelligence strengths to simplify and optimize your mathematical educational experience. Overcome test anxiety and enhance testing abilities. Course is appropriate for all levels of mathematics students.
4 Units Not Degree Applicable 72 hours lecture Prerequisite: MATH 50 or qualifying score on current department placement test Basic algebra, equivalent to first year high school algebra. Includes operations with signed numbers and algebraic expressions, linear equations and inequalities, polynomial operations and factoring, rational expressions and equations, Cartesian Coordinate System, slope/graphing/ equations of lines, systems of linear equations, ratio/proportion, formulas and variation, applications, radicals and exponents, quadratic equations.
3 Units Not Degree Applicable 54 hours lecture Prerequisite: MATH 50 or qualifying score on current department placement test Contains the first half of elementary algebra. Operations with signed numbers and algebraic expressions; linear equations and inequalities; polynomial operations and factoring; rational expressions and equations; ratios, proportions, formulas, and variation; applications.
3 Units Not Degree Applicable 54 hours lecture Prerequisite: MATH 51A Contains the second half of Elementary Algebra. Includes: Cartesian Coordinate System, slope/graphing/equations of lines, solving systems of linear equations, algebraic operations with radicals, solving equations with radicals, solving second degree equations using methods of completing the square and the quadratic formula. Students must complete both MATH 51A and MATH 51B to have taken the equivalent of Elementary Algebra (MATH 51).
5 Units Degree Applicable 90 hours lecture Prerequisite: Math 51 or Math 51B or qualifying score on current department placement test. Intermediate Algebra for the non-calculus path. Recommended for Humanities, Social Sciences, and Applied Sciences. Recommended prerequisite for Math 100, Math 110, and Math 120. Polynomial, rational, radical, exponential and logarithmic expressions are simplified, equations solved, and real-world phenomena are modeled using leastsquares methods, functions graphed and analyzed; linear and nonlinear systems of equations and inequalities; sequences, series, and probabilities; data gathering instruments are used to sample data for curve fitting.
5 Units Degree Applicable 90 hours lecture Prerequisite: MATH 51 or MATH 51B or qualifying score on current department placement test Reviews and extends concepts from elementary algebra, and introduces new content to prepare students for a variety of subsequent mathematics courses. Polynomial, rational, radical, exponential and logarithmic expressions are simplified, equations solved and functions graphed and studied; linear and nonlinear systems of equations and inequalities; conic sections; sequence, series and the binomial theorem. Application problems appear throughout the course.
3 Units Degree Applicable 54 hours lecture Prerequisite: MATH 51 or MATH 51B or qualifying score on current department placement test. Algebra of functions, polynomials, and rational expressions; functions and their graphs; systems of equations with two or three variables; absolute value and compound inequalities. Covers some MATH 71 topics at a slower pace. A student must complete both MATH 71A and 71B to have taken the equivalent of MATH 71, Intermediate Algebra.
3 Units Degree Applicable 54 hours lecture Prerequisite: MATH 71A Quadratic equations and graphs; exponents, radicals and logarithms; conic sections. Covers remaining MATH 71 topics at a slower pace. A student must complete both MATH 71A AND MATH 71B to have taken the equivalent of MATH 71A, Intermediate Algebra.
3 Units (CAN STAT02) Degree Applicable, CSU, UC 54 hours lecture Prerequisite: MATH 71 or MATH 71X or MATH 71B or qualifying score on current department placement test Emphasis is placed on the understanding of statistical methods. Descriptive analysis of sample statistics, distribution of discrete and continuous random variables, estimation theory, tests of hypotheses, regression, correlation and analysis of variance.
3 Units (CAN MATH12) Degree Applicable, CSU, UC 54 hours lecture Prerequisite: MATH 71 or MATH 71X or MATH 71B or qualifying score on current department placement test. Mathematics for business, social science and biological science majors. Topics include linear programming, matrix theory, probability, statistics, stochastic processes, Markov chains, and math of finance.
3 Units Degree Applicable, CSU 54 hours lecture Prerequisite: MATH 100 Structure and theory of the mathematics that constitute the core of K-8 mathematics curriculum. Concepts include the essential elements of a number system; fundamental understanding of operations upon whole numbers, rational numbers and integers; higher-order critical thinking skills and strategies in the area of problem solving.
3 Units Degree Applicable 54 hours lecture Prerequisite: MATH 51 or MATH 51B or MATH 52 or qualifying score on current department placement test Points, lines, polygons and circles; their relationships to each other on plane surfaces; congruence, similarity and area. Introduction to inductive, deductive and indirect reasoning. The formal proof is introduced and practiced throughout the course. Stress is placed on accuracy of statement as a background for analytical and scientific reasoning.
Applicable, CSU, UC 54 hours lecture Prerequisite: (MATH 71 or MATH 71X or MATH 71B or qualifying score on current department placement test) and (MATH 61 or passing score on current geometry competency test) Introduction to mathematical methods and reasoning. Topics include: set theory, logic, counting methods, probability and statistics, with additional topics selected from numeration and mathematical systems, number theory, geometry, graph theory and mathematical modeling.
4 Units (CAN MATH34) Degree Applicable, CSU, UC 72 hours lecture Prerequisite: MATH 130 or MATH 160 or qualifying score on current department placement test. Calculus for business, social science, and non-science majors. Algebraic, logarithmic, and exponential functions; limits; differentiation with applications; various techniques of integration with applications; differential equations; multi variable calculus. Credit not given to persons with credit in MATH 180 or equivalent.
4 Units (CAN MATH10) Degree Applicable, CSU, UC 72 hours lecture Prerequisite: MATH 71 or MATH 71B or qualifying score on current department placement test A college-level course in algebra. A study of real numbers and sets, algebraic functions and relations, radicals and exponents, linear and quadratic equalities and inequalities, exponential and logarithmic functions, systems of linear and quadratic equations, complex numbers, series, theory of equations, mathematical induction and binomial formula.
3 Units (CAN MATH08) Degree Applicable, CSU 54 hours lecture Prerequisite: MATH 71 or 71B or qualifying score on current department placement test AND Math 61 or passing score on current geometry competency test. Trigonometry functions and inverse trigonometric functions and the graphical representations of these functions; solutions to right and oblique triangles with laws of sines and cosines; vectors; solutions to trigonometric equations; identities; polar coordinates; complex numbers and DeMoivre’s Theorem.
4 Units (CAN MATH16) Degree Applicable, CSU, UC 72 hours lecture Prerequisite: MATH 150, or qualifying score on current department placement test. Prepares students for the calculus sequence. Real-valued functions, including algebraic, trigonometric, exponential, and logarithmic functions. Also includes proofs, inequalities, introductory analytical geometry, series, sequences, and vectors.
4 Units (CAN MATH18) Degree Applicable, CSU, UC CAN MATH SEQ B 72 hours lecture Prerequisite: MATH 160 or qualifying score on current department placement test Functions, curve sketching, limits, the derivative, rules for differentiation of algebraic and trigonometric functions, applications of the derivative. Indefinite and definite integrals, numerical integration, and calculus with exponential, logarithmic, and other transcendental functions.
5 Units (CAN MATH20) Degree Applicable, CSU, UC CAN MATH SEQ B 90 hours lecture Prerequisite: MATH 180 Applications of integration, techniques of integration; indeterminate forms and improper integrals; infinite series; plane curves and parametric equations; vectors in two and three space and their applications.
4 Units (CAN MATH22) Degree Applicable, CSU, UC CAN MATH SEQ C 72 hours lecture Prerequisite: MATH 181 Analysis of vector-valued functions of several variables, partial derivatives, differentials, the chain rule, directional derivatives and the gradient. Extrema of functions of several variables with applications. Double and triple integrals in various coordinate systems with applications. Vector fields, line integrals, work, independence of path in conservative fields. Green’s Theorem, surface integrals, flux, divergence and curl, Stokes’ Theorem, the Divergence Theorem.
5 Units (CAN MATH24) Degree Applicable, CSU, UC 90 hours lecture Prerequisite: MATH 280 First order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
