2022-2023 Catalog Catalog » Current Catalog » Courses » MATH Courses » Mathematics(MATH) Courses

# Mathematics (MATH Courses)

## MATH 100 Nature of Modern Mathematics

3.0 units.
Prerequisite: MATH 309 - Algebra and Math Literacy ; or MATH 331 - Algebra 2 ; or prior completion of MATH 333 and MATH 334
Acceptable for credit: Transfer CSU
Course Offered: Fall, Spring
A study of contemporary topics in mathematics including statistics, social choice, management science, and geometric and algebraic patterns.

## MATH 105 Mathematics for Teachers

4.0 units.
Prerequisite: MATH 331 - Algebra 2 ; or prior completion of Math 334 Algebra 2: Part 2
Acceptable for credit: Transfer to UC, CSU
C-ID Course Number: Math 120
Course Offered: Fall, Spring
A study of basic concepts of mathematics required for the liberal studies major and the multiple subject teaching credential. It is recommended for current elementary and junior high school teachers. It is also recommended for the career technical single subject education credential candidate. Topics include development of critical thinking, set theory, logic, numeration systems, the set of integers, elementary number theory, the set of rational numbers, the set of real numbers, and measurement of geometric figures.

## MATH 121 Trigonometry

3.0 units.
Prerequisite: MATH 331 - Algebra 2 or successful completion of MATH 334
Acceptable for credit: Transfer CSU
Course Offered: Fall, Spring
The study of directed angles, degree/radian measures of angles, trigonometric functions of angles and of numbers, solutions of right and oblique triangles, identities, functions of composite angles, graphs, equations, inverse functions, vectors and complex numbers.

## MATH 123 Elementary Statistics

4.0 units.
Prerequisite: MATH 309 - Algebra and Math Literacy ; or MATH 331 - Algebra 2 ; or Math 333/334
Acceptable for credit: *Transfer to CSU, limited to UC/see counselor
C-ID Course Number: MATH 110
Course Offered: Fall, Spring, Summer
A study of descriptive and inferential statistics including applications in the behavioral and natural sciences. Topics include classification and analysis of data, probability, distributions, sampling, the binomial, normal, t, F, and chi-square distributions, confidence intervals, hypothesis testing, regression analysis, analysis of variance and non-parametric methods. Calculators and/or computers will be used throughout.

## MATH 123S Support For Math 123: Elementary Statistics

1.0 unit.
Corequisite: MATH 123 - Elementary Statistics
Acceptable for credit: Transfer CSU
Course Offered: Fall, Spring, Summer
This course is offered as a supplement for students enrolled in Math 123, Elementary Statistics. It is intended for students for whom support has been recommended or required. The course reviews prerequisite topics and strategies to be a more successful math student.

## MATH 131 College Algebra

3.0 units.
Prerequisite: MATH 331 - Algebra 2 ; or Math 334 - Algebra 2: Part 2
Acceptable for credit: Transfer to UC, CSU
Course Offered: Fall, Spring, Summer
College level course in algebra for majors in science, technology, engineering, and mathematics: polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; analytic geometry.

## MATH 131S Support For Math 131: College Algebra

1.5 units.
Corequisite: MATH 131 - College Algebra
Acceptable for credit: Transfer CSU
Course Offered: Fall, Spring, Summer
This course is offered as a supplement for students enrolled in Math 131; College Algebra. It is intended for students for whom support has been recommended or required. The course reviews prerequisite topics and strategies to be a more successful math student.

## MATH 135 Calculus with Applications

4.0 units.
Prerequisite: MATH 331 - Algebra 2
Acceptable for credit: Transfer to UC, CSU
C-ID Course Number: Math 140
Course Offered: Fall, Spring
Techniques of calculus as applied to problem-solving in business and social, behavioral, and natural sciences, including limits, continuity, differentiation and integration in one and several dimensions, optimization, transcendental functions, and the use of computing technology.

## MATH 135S Support For Math 135: Calculus with Applications

1.5 units.
Corequisite: MATH 135 - Calculus with Applications
Acceptable for credit: Transfer CSU
Course Offered: Fall, Spring
This course is offered as a supplement for students enrolled in Math 135, Calculus with Applications. It is intended for students for whom support has been recommended or required. The course reviews prerequisite topics and strategies to be a more successful math student.

## MATH 141 Precalculus

6.0 units.
Prerequisite: MATH 331 - Algebra 2 ; or MATH 334
Acceptable for credit: Transfer to UC, CSU
C-ID Course Number: MATH 955
Course Offered: Fall, Spring, Summer
Preparation for calculus: the study of polynomial, absolute value, radical, rational, exponential, and logarithmic functions, analytic geometry, and polar coordinates. 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, and introduction to vectors. This is an accelerated one semester alternative to the two semesters of trigonometry (Math 121) and College Algebra (Math 131).

## MATH 141S Support For Math 141: Precalculus

1.5 units.
Corequisite: MATH 141 - Precalculus
Acceptable for credit: Transfer CSU
Course Offered: Fall, Spring, Summer
This course is offered as a supplement for students enrolled in Math 141, Precalculus. It is intended for students for whom support has been recommended or required. The course reviews prerequisite topics and strategies to be a more successful math student.

## MATH 181 Calculus 1

4.0 units.
Prerequisite: MATH 141 - Precalculus ; or MATH 121 - Trigonometry ; and MATH 131 - College Algebra
Acceptable for credit: *Transfer to CSU, limited to UC/see counselor
C-ID Course Number: MATH 210, MATH 900S
Course Offered: Fall, Spring, Summer
The first in a two-semester sequence comprising first-year calculus. Topics include functions, limits, continuity, the derivative, differentiation of algebraic, trigonometric and transcendental functions, applications of differentiation, the definite integral, and the use of technology to solve calculus problems.

## MATH 182 Calculus 2

4.0 units.
Prerequisite: MATH 181 - Calculus 1
Acceptable for credit: Transfer to UC, CSU
C-ID Course Number: MATH 220, MATH 900S
Course Offered: Fall, Spring
The second in a two-semester sequence comprising first-year calculus. Topics include methods and applications of integration, sequences and series, Taylor series, an introduction to differential equations, and the use of technology to solve calculus problems.

## MATH 183 Multivariable Calculus

4.0 units.
Prerequisite: MATH 182 - Calculus 2
Acceptable for credit: Transfer to UC, CSU
C-ID Course Number: MATH 230
Course Offered: Fall, Spring
Topics include vectors, functions of several variables; differentiation and integration in several dimensions; change of variables; parameterized curves and vector fields, line and surface integrals; Green's, Stokes', and divergence theorems.

## MATH 184 Linear Algebra/Differential Equations

5.0 units.
Prerequisite: MATH 182 - Calculus 2
Acceptable for credit: Transfer to UC, CSU
C-ID Course Number: MATH 910S
Course Offered: Fall, Spring
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.

## MATH 189 Independent Projects

1.0 - 3.0 units.
Acceptable for credit: Transfer CSU
C-ID Course Number: N/A
Courses for students capable of independent work who demonstrate the need or desire for additional study beyond the regular curriculum. Enrollment allows students to pursue activities such as directed field experience, research, or development of skills and competencies under faculty advisement and supervision. Independent projects may be earned in most disciplines. Students wishing to enroll in Independent Projects should contact the appropriate instructor identified in the class schedule. If the project proposed is acceptable to that instructor, a contract will be developed. All contracts for these classes must be completed and submitted to the Records Office no later than the end of the second week of the semester. Students may enroll for any combination (unit value) of Independent Projects 189 and/or 389 for a total of four semesters in a specific discipline. Units are awarded depending upon satisfactory performance and the amount of time committed by the student to the course. Allowable units vary according to discipline, and are based on the following formula: 1 unit - 48 hours per semester 2 units - 96 hours per semester 3 units - 144 hours per semester

## MATH 309 Algebra and Math Literacy

4.0 units.
Prerequisite: MATH 521 - Foundations of Mathematics or MATH 531 ;
Acceptable for credit: D - Credit - Degree Applicable
Course Offered: Fall, Spring, Summer
This course will focus on mathematical modeling, including linear equations, quadratic equations and exponential equations. Fundamentals of algebra, geometry, statistics and measurement will be discussed. Numeracy, graphing and problem solving strategies will be incorporated throughout the course.

## MATH 311 Algebra 1

4.0 units.
Prerequisite: MATH 521 - Foundations of Mathematics ; or MATH 579A
Acceptable for credit: D - Credit - Degree Applicable
Course Offered: Fall, Spring, Summer
A study of the fundamental ideas and methods used to simplify expressions and solve equations and inequalities, including applications. Topics covered include the real numbers, linear equations and inequalities, graphing, polynomials, factoring, rational expressions, introduction to square roots, and quadratic equations. This course is not open to students who are enrolled in or have received credit for MATH 313 or 314.

## MATH 321 First Year Geometry

3.0 units.
Prerequisite: MATH 309 - Algebra and Math Literacy ; or MATH 311 - Algebra 1 ; or completion of Math 313 and 314
Acceptable for credit: C - Credit - Not Degree Applicable
Course Offered: Fall, Spring, Summer
A study of basic geometry principles including constructions, congruence, parallels, right triangles, similarity, circles, and proofs.

## MATH 331 Algebra 2

4.0 units.
Advisories: MATH 321 - First Year Geometry
Prerequisite: MATH 309 - Algebra and Math Literacy ; or MATH 311 - Algebra 1 ; or MATH 313 and MATH 314
Acceptable for credit: D - Credit - Degree Applicable
Course Offered: Fall, Spring, Summer
A continuation of the study of methods used to simplify expressions and solve equations and inequalities, including applications. Topics covered include exponents and radicals, rational and radical expressions, complex numbers, nonlinear equations and inequalities, functions and their graphs, systems of equations, exponential expressions, and logarithms.

## MATH 331S Support For Math 331: Algebra 2

1.0 unit.
Corequisite: MATH 331 - Algebra 2
Acceptable for credit: D - Credit - Degree Applicable
Course Offered: Fall, Spring, Summer