Mathematics (MATH)

MATH 5  Support Topics for Elementary Algebra

2 Units
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 51

Support will focus on essential arithmetic, algebraic, and geometric skills needed for success in Elementary Algebra. Course is for students concurrently enrolled in Math 51. Support topics include order of operations, rules of exponents, geometry, linear, quadratic, rational, and radical equations, systems of equations, basic graphing techniques, factoring, polynomial, rational, and radical expressions, and applications.

Course Schedule

MATH 7  Support Topics for Intermediate Algebra

2 Units
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 71

Support will focus on essential algebra skills needed for success in Intermediate Algebra. Course is for students concurrently enrolled in Math 71. Support topics include real numbers and their properties, algebraic expressions, integer and rational exponents, linear, quadratic, rational, radical, exponential, and logarithmic equations, systems of linear and nonlinear equations, absolute value equations and inequalities, graphing techniques, writing equations of lines, functions and relations, complex fractions, polynomial, rational, radical, and logarithmic expressions, and applications.

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MATH 10A  Support Topics for Survey of College Mathematics

2 Units
(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 arithmetic and algebraic 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 problem solving strategies, set theory, logic, linear functions, graphing techniques, counting methods, probability, and statistics.

Course Schedule

MATH 11  Support Topics for Statistics

2 Units
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 110

Support will focus on essential skills required for success in Elementary Statistics. For students concurrently enrolled in Elementary Statistics (Math 110). Review and support topics include the use of calculators and technology to enhance understanding. Topics include inequality relationships between numbers, graphing and interpreting linear functions, applications with probabilities including notation, simulations, rounding, and significant digits. Applications with estimation, hypothesis testing using appropriate calculations, and conclusions.

Course Schedule

MATH 13  Support Topics for College Algebra

2 Units
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 130

Support will focus on essential algebra skills needed for success in College Algebra. Course is for students concurrently enrolled in Math 130. Support topics include algebraic expressions, integer and rational exponents, linear and nonlinear equations and inequalities, factoring polynomials, systems of equations and inequalities, graphing techniques and curve sketching, equations of lines, functions and relations, complex fractions, polynomial, rational, radical, exponential, and logarithmic expressions and equations, expanding binomials, and applications.

Course Schedule

MATH 14  Support Topics for Business Calculus

2 Units
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 140

Support will focus on essential algebra skills needed for success in Business Calculus. For students concurrently enrolled in Math 140. Algebra support topics include analyzing linear, polynomial, rational, radical, exponential, and logarithmic functions, solving various equations including polynomial, rational, radical, exponential, and logarithmic equations, solving various inequalities including polynomial, rational, and absolute value inequalities, graphing techniques and curve sketching, summation notation and Riemann sums, limits, differentiation rules and the chain rule, integration techniques, functions of several variables, double integration, and applications.

Course Schedule

MATH 15  Support Topics for Trigonometry

2 Units
(May be taken for Pass/No Pass only)
Lecture: 36   
Corequisite: MATH 150

Support will focus on essential geometry and algebra skills needed for success in Trigonometry. Course is for students concurrently enrolled in Math 150. Support topics include angle, triangle and parallelogram relationships, arc length and area of circles and sectors, linear transformations, simplifying algebraic expressions, solving algebraic equations, functions, graphs, unit conversions, and algebraic proofs.

Course Schedule

MATH 16  Support Topics for Precalculus

2 Units
(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

Formerly MATH 18
Support will focus on essential precalculus skills needed for success in Calculus. Course is for students concurrently enrolled in Calculus and Analytic Geometry (Math 180). Precalculus review topics include basic functions and transformations, equations of lines, difference quotients, asymptotes, absolute value inequalities, zeros of polynomial functions, function composition, applications of geometry and Pythagorean theorem, areas under curves using geometric formulas, sequences and series.

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 essential precalculus and calculus skills needed for success in Calculus and Analytical Geometry II. This course is for students concurrently enrolled in Calculus and Analytical Geometry II (MATH 181). Support topics include trigonometric functions, partial fractions, polynomial graphs, derivatives, antiderivatives, integration, application of integrals, parametric equations and polar coordinates, sequences, seriesm, and power series.

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 51A  Elementary Algebra - First Half

3 Units (Not Degree Applicable)
Lecture: 54   
Prerequisite: MATH 50 or appropriate placement

Contains the first half of elementary algebra. Operations with signed numbers and algebraic expressions, linear equations and inequalities, exponent rules, polynomial operations, scientific notation, factoring, solving quadratic equations by factoring, rational expressions and equations, formulas, variation, and applications.

Course Schedule

MATH 51B  Elementary Algebra - Second Half

3 Units (Not Degree Applicable)
Lecture: 54   
Prerequisite: MATH 51A

Contains the second half of elementary algebra. Includes: Cartesian Coordinate System, slope, graphing, and 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).

Course Schedule

MATH 61  Plane Geometry

3 Units (Degree Applicable)
Lecture: 54   
Prerequisite: MATH 51 or MATH 51B or appropriate placement

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.

Course Schedule

MATH 71  Intermediate Algebra

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

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 71A  Intermediate Algebra - First Half

3 Units (Not Degree Applicable)
Lecture: 54   
Prerequisite: MATH 51 or MATH 51B or appropriate placement.

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 approximately half of the MATH 71 topics. A student must complete both MATH 71A and 71B to have taken the equivalent of MATH 71, Intermediate Algebra.

Course Schedule

MATH 71B  Intermediate Algebra - Second Half

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

Quadratic equations and graphs; exponents, radicals and logarithms; conic sections. Covers remaining MATH 71 topics. A student must complete both MATH 71A AND 71B to have taken the equivalent of MATH 71, Intermediate Algebra.

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 96  Strategies for Math Success

1 Unit (Not Degree Applicable)
(May be taken for Pass/No Pass only)
Lecture: 18   

Perspectives, understandings, and strategies to utilize a learning system for acquiring, understanding, remembering, and producing mathematical knowledge. Course is appropriate for all levels of mathematics students.

Course Schedule

MATH 99  Special Projects in Mathematics

2 Units (Degree Applicable, CSU)
Lecture: 36   
Prerequisite: Instructor authorization

In order to offer selected students recognition for their academic interests and ability and the opportunity to explore their disciplines to greater depth, the Math Department from time to time offers special projects courses. 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 MATH 71X or MATH 71B 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 110  Elementary Statistics

3 Units (Degree Applicable, CSU, UC, C-ID #: MATH 110)
UC Credit Limitation
Lecture: 54   
Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placement

Descriptive and inferential statistics and probability with emphasis on understanding 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.

Course Schedule

MATH 110H  Elementary Statistics - Honors

3 Units (Degree Applicable, CSU, UC, C-ID #: MATH 110)
UC Credit Limitation
Lecture: 54   
Prerequisite: (MATH 71 or MATH 71X or MATH 71B or appropriate placement) and acceptance into the Honors Program.

Descriptive and inferential statistics and probability with an emphasis on understanding 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. An honors course designed to provide an enriched experience. May not receive credit for MATH 110 and MATH 110H.

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 MATH 71B or appropriate placement

College-level Algebra course. 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.

Course Schedule

MATH 140  Calculus for Business

4 Units (Degree Applicable, CSU, UC)
UC Credit Limitation
Lecture: 72   
Prerequisite: MATH 130 or MATH 160 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 or MATH 71B or appropriate placement on assessment measures

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 DeMoivre's Theorem.

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 181  Calculus and Analytic Geometry

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 245  A Transition to Advanced Mathematics

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

A transition to the rigors of upper-division mathematics courses. Basic set theory and logic, relations, functions, mathematical induction, the well-ordering principle, countable and uncountable sets, the Schroder-Bernstein Theorem, the axiom of choice, Zorn's Lemma, the Heine-Borel Theorem, the Bolzano-Weierstrass Theorem. Special emphasis on how to present and understand mathematical proofs.

Course Schedule

MATH 260  Linear Algebra

3 Units (Degree Applicable, CSU, UC)
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

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)
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 280

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

MATH 180  Calculus and Analytic Geometry

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