Mathematics (MATH)

MATH 10A  Support Topics for Survey of College Mathematics

2 Units (Not Degree Applicable)
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 100

Support will focus on promoting mathematical reasoning, critical thinking skills, and essential skills needed for success in Survey of College Mathematics. Course is for students concurrently enrolled in Survey of College Mathematics (MATH 100). Support 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.

Course Schedule

MATH 12  Support Topics for Finite Mathematics

2 Units (Not Degree Applicable)
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 120

Support will focus on promoting mathematical reasoning, critical thinking skills, and essential skills needed for success in Finite Mathematics. Course is for students concurrently enrolled in Finite Mathematics (Math 120). Support topics include linear functions and models, matrices, linear programming problems, math of finance, set theory, counting methods, probability, statistics, and Markov chains.

Course Schedule

MATH 13  Support Topics for College Algebra

2 Units (Not Degree Applicable)
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 130

Support will focus on promoting mathematical reasoning, critical thinking skills and essential skills needed for success in College Algebra (MATH 130). Course is for students concurrently enrolled in College Algebra. Support topics include polynomial, rational, and radical expressions; factoring of polynomials, complex numbers; exponents; linear, quadratic, rational, exponential and logarithmic functions: graphing, expressions, equations and their applications; linear and nonlinear inequalities; theory of polynomial equations; systems of linear and quadratic equations.

Course Schedule

MATH 14  Support Topics for Business Calculus

2 Units (Not Degree Applicable)
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 140

Support will focus on promoting mathematical reasoning, critical thinking skills, and essential skills needed for success in Business Calculus. Course is for students concurrently enrolled in Business Calculus (MATH 140). Support topics include 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; and multivariable calculus.

Course Schedule

MATH 15  Support Topics for Trigonometry

2 Units (Not Degree Applicable)
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 150

Support will focus on promoting mathematical reasoning, critical thinking skills and essential skills needed for success in Trigonometry. Course is for students concurrently enrolled in Trigonometry (MATH 150). Support topics include trigonometric functions and inverse trigonometric functions and the graphical representation 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 De Moivre's Theorem.

Course Schedule

MATH 16  Support Topics for Precalculus

2 Units (Not Degree Applicable)
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 160

Support will focus on essential trigonometry and algebra skills needed for success in Precalculus Mathematics. Course is for students concurrently enrolled in Math 160. Support topics include set notation, complex rational expressions and radical expressions, lines, piecewise-defined functions, circles, modeling with functions, factoring, asymptotes, solving inequalities, simplifying exponential expressions, evaluating trigonometric and inverse trigonometric functions, solving exponential, logarithmic, and trigonometric equations, vectors, and systems of equations.

Course Schedule

MATH 18A  Support Topics for Calculus I

2 Units (Not Degree Applicable)
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 180

Support will focus on promoting mathematical reasoning, critical thinking skills, and essential skills needed for success in MATH 180. Course is for students concurrently enrolled in Calculus and Analytic Geometry I (MATH180). Support topics include differential and integral calculus with application; functions, limits, the derivative, curve sketching, optimization, and rules for differentiation of algebraic, exponential, logarithmic, and trigonometric functions with their inverses, with applications; indefinite and definite integrals.

Course Schedule

MATH 18B  Support Topics for Calculus II

2 Units (Not Degree Applicable)
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 181

Support will focus on promoting mathematical reasoning, critical thinking skills, and essential skills needed for success in MATH 181. Course is for students concurrently enrolled in Calculus and Analytic Geometry II (MATH 181). Support topics include differential and integral calculus with infinite series and applications; applications of integration, techniques of integration, numerical integration, indeterminate forms and improper integrals, differential equations, and polar coordinates.

Course Schedule

MATH 50  Pre-Algebra

3 Units (Not Degree Applicable)
Lecture: 54   
Prerequisite: LERN 49 or appropriate placement.

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 in elementary topics from algebra and mastery in arithmetic.

Course Schedule

MATH 51  Elementary Algebra

4 Units (Not Degree Applicable)
Lecture: 72   
Prerequisite: MATH 50 or appropriate placement

Basic algebra, equivalent to first year high school algebra. Includes: operations with signed numbers and algebraic expressions; linear, quadratic, rational, and radical equations; linear inequalities of one and two variables; slope, graphing, and equations of lines; introduction to functions; systems of linear equations; exponent rules; polynomial operations; scientific notation; factoring; rational expressions; variation; radicals; fractional exponents; formulas; applications.

Course Schedule

MATH 71  Intermediate Algebra

5 Units (Degree Applicable)
Lecture: 90   

Extends concepts from elementary algebra to prepare students for college-level 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

Course Schedule

MATH 71X  Practical Intermediate Algebra

5 Units (Degree Applicable)
Lecture: 90   
Prerequisite: MATH 51 or MATH 51B or appropriate placement

Intermediate Algebra for the non-calculus path. Polynomial, rational, radical, exponential, and logarithmic expressions are simplified, equations solved, and real-world phenomena are modeled using least-squares 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.

Course Schedule

MATH 99  Special Projects in Mathematics

2 Units (Degree Applicable, CSU)
Lecture: 36   
Prerequisite: Instructor authorization and Approved Learning Contract

The Math Department offers special projects courses in order to offer selected students recognition for their academic interests and ability, and the opportunity to explore their disciplines in greater depth. The content of each course and the methods of study vary from semester to semester and depend on the particular project under consideration. Instructor authorization needed prior to enrollment.

Course Schedule

MATH 100  Survey of College Mathematics

3 Units (Degree Applicable, CSU, UC)
Lecture: 54   
Prerequisite: MATH 71 or appropriate placement

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.

Course Schedule

MATH 105  Mathematical Concepts for Elementary School Teachers

4 Units (Degree Applicable, CSU, UC)
Lecture: 72   
Prerequisite: MATH 71 or appropriate placement

Focuses on the development of quantitative reasoning skills. Exploration of topics in mathematics, including real number systems and subsystems. Comprehension and analysis of mathematical concepts and applications of logical reasoning are emphasized. Designed for pre-service elementary school teachers.

Course Schedule

MATH 120  Finite Mathematics

3 Units (Degree Applicable, CSU, UC)
Lecture: 54   
Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placement

Linear programming, matrix theory, probability, statistics, stochastic processes, Markov chains, and math of finance. Applications for business, economics, and social sciences.

Course Schedule

MATH 130  College Algebra

4 Units (Degree Applicable, CSU, UC)
UC Credit Limitation
Lecture: 72   
Prerequisite: MATH 71 or appropriate placement

College-level algebra course. This course covers polynomial, rational, and radical expressions; factoring of polynomials, complex numbers; exponents; linear, quadratic, rational, exponential and logarithmic functions: graphing, expressions, equations and their applications; linear and nonlinear inequalities; theory of polynomial equations; systems of linear and quadratic equations.

Course Schedule

MATH 140  Calculus for Business

4 Units (Degree Applicable, CSU, UC)
UC Credit Limitation
Lecture: 72   
Prerequisite: MATH 71 or appropriate placement

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; and multivariable calculus.

Course Schedule

MATH 150  Trigonometry

3 Units (Degree Applicable, CSU)
Lecture: 54   
Prerequisite: MATH 71

Trigonometric 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 De Moivre's Theorem. Trigonometry is a branch of mathematics devoted to studying the relationships between angles and ratios of lengths. Trigonometry plays a vital role in calculus and has a wide range of applications in architecture, surveying, astronomy, physics, engineering, construction, marine biology, navigation, and crime scene investigation.

Course Schedule

MATH 160  Precalculus Mathematics

4 Units (Degree Applicable, CSU, UC)
UC Credit Limitation
Lecture: 72   
Prerequisite: MATH 150 or appropriate placement

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.

Course Schedule

MATH 180  Calculus and Analytic Geometry I

4 Units (Degree Applicable, CSU, UC)
UC Credit Limitation
Lecture: 72   
Prerequisite: MATH 160 or appropriate placement.

Differential and integral calculus with applications. Functions, limits, the derivative, curve sketching, optimization, and rules for differentiation of algebraic, exponential, logarithmic, and trigonometric functions with their inverses, with applications. Indefinite and definite integrals.

Course Schedule

MATH 181  Calculus and Analytic Geometry II

4 Units (Degree Applicable, CSU, UC, C-ID #: MATH 220)
Lecture: 72   
Prerequisite: MATH 180

Differential and integral calculus with infinite series and applications. Includes applications of integration, techniques of integration, numerical integration, indeterminate forms and improper integrals, differential equations, and polar coordinates.

Course Schedule

MATH 260  Linear Algebra

3 Units (Degree Applicable, CSU, UC)
UC Credit Limitation
Lecture: 54   
Prerequisite: MATH 181

Matrices, linear systems, determinants, vector and inner product spaces, linear transforms, eigenvalues, and eigenvectors.

Course Schedule

MATH 280  Calculus and Analytic Geometry III

5 Units (Degree Applicable, CSU, UC, C-ID #: MATH 230)
Lecture: 90   
Prerequisite: MATH 181

Multivariate and vector calculus, which includes vectors in two and three space and surfaces in space. Analysis of vector-valued functions. Partial derivatives, differentials, the chain rule, directional derivatives, and the gradient. Extrema of functions of several variables with applications. Multiple integrals in various coordinate systems with applications. Vector fields, line integrals, and independence of path. Green's Theorem, surface integrals, flux, divergence, and curl. Stokes' Theorem and the Divergence Theorem.

Course Schedule

MATH 285  Linear Algebra and Differential Equations

5 Units (Degree Applicable, CSU, UC)
UC Credit Limitation
Lecture: 90   
Prerequisite: MATH 280

First order ordinary differential equations, 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.

Course Schedule

MATH 290  Differential Equations

4 Units (Degree Applicable, CSU, UC)
Lecture: 72   
Prerequisite: MATH 181

First-order ordinary differential equations, including separable, linear, homogeneous, Bernoulli, and exact, with applications and numerical methods. Solutions to higher-order differential equations using undetermined coefficients, variation of parameters, power series, and Laplace transforms, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions.

Course Schedule