# Mathematics (MATH)

**MATH 010 Structure and Concepts 1 4 unit(s)**

Hours: 4 Lecture/Discussion

This is a four-unit course focusing on the development of quantitative reasoning skills through in-depth, integrated explorations of topics in mathematics, including real number systems and subsystems. Emphasis is on comprehension and analysis of mathematical concepts and applications of logical reasoning. This course is intended for liberal studies students, though it can be used to meet general education requirements. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in Math 010 may access the supplemental learning assistance by enrolling in Math 400, an open entry/open exit non-credit course. (C-ID MATH120)

**Prerequisites: MATH 230 or equivalent college course with "C" or better**

**MATH 011 Structure and Concepts 2 4 unit(s)**

Hours: 4 Lecture/Discussion

This course continues topics from MATH 10 and includes statistics, probability, geometry, measurement, transformations, congruence, and coordinate geometry. The emphasis of this course is in mathematical topics relevant to future elementary school teachers. This course is intended for liberal studies students, though it can be used to meet general education requirements. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in MATH 011 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/open exit non-credit course.

**Prerequisites: MATH 010 or equivalent college course with "C" or better**

**MATH 021 Introduction to Statistics 4 unit(s)**

Hours: 4 Lecture/Discussion

This is an introductory course in probability and statistics covering both descriptive and inferential statistics. Statistical software will be used throughout this course. Topics include measures of center and spread, probability, probability distributions, confidence intervals, hypothesis testing, regression, and correlation analysis. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in MATH 21 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/ open exit non-credit course. (C-ID: MATH110)

**Prerequisites: MATH 230 or equivalent college course with "C" or better**

**MATH 065 Calculus 1 4 unit(s)**

Hours: 4 Lecture/Discussion

**Equivalent Course: MATH 075**
This course is the first course of a three semester calculus sequence. Topics include limits, continuity, techniques and applications of differentiation and integration of algebraic and transcendental functions, and the Fundamental Theorem of Calculus. The course is intended primarily for mathematics, physical science, and engineering majors. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in MATH 65 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/open exit non-credit course. (MATH 65 + 66 + 67 course sequence is equivalent to the former MATH 75 + 76 + 77 course sequence). (C-ID MATH210)

**Prerequisites: MATH 070 or equivalent college course with "C" or better**

**MATH 066 Calculus 2 4 unit(s)**

Hours: 4 Lecture/Discussion

**Equivalent Course: MATH 076**
This is the second course of a three-semester calculus sequence. Topics include techniques of integration, improper integrals, applications of integration, infinite sequences and series, analytic geometry, polar and parametric equations, and many applications. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in MATH 66 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/open exit non-credit course. (MATH 65 + 66 + 67 course sequence is equivalent to the former MATH 75 + 76 + 77 course sequence). (C-ID MATH220)

**Prerequisites: MATH 065 or MATH 075 or equivalent college course with "C" or better**

**MATH 067 Calculus 3 4 unit(s)**

Hours: 4 Lecture/Discussion

**Equivalent Course: MATH 077**
This course is the third semester of the introductory calculus sequence. Topics covered include differentiation and integration of vector-valued functions, partial differentiation, directional derivatives, Lagrange Multipliers, multiple integration, centroids and centers of gravity, and Green's, Stoke's, and Divergence Theorem. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in MATH 067 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/open exit non-credit course. (MATH 65 + 66 + 67 course sequence is equivalent to the former MATH 75 + 76 + 77 course sequence). (C-ID MATH230)

**Prerequisites: MATH 066 or MATH 076 or equivalent college course with "C" or better**

**MATH 070 Precalculus 5 unit(s)**

Hours: 5 Lecture/Discussion

This course is intended for students planning to take calculus and proceeds at an intense pace. Topics include: functions and graphs, applications of functions, exponential and logarithmic functions, trigonometric functions and analytic trigonometry, right triangle trigonometry, analytic geometry, and roots of polynomial equations. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in MATH 070 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/open exit non-credit course. (C-ID MATH155)

**Prerequisites: MATH 154 or equivalent college course with "C" or better**

**MATH 080 Linear Algebra 4 unit(s)**

Hours: 4 Lecture/Discussion

This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. The course investigates the properties of vectors in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in MATH 080 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/open exit non-credit course. (C-ID MATH250)

**Prerequisites: MATH 076 or MATH 066 or equivalent college course with "C" or better**

**MATH 081 Differential Equations 5 unit(s)**

Hours: 5 Lecture/Discussion

An introduction of solving ordinary and partial differential equations including matrix solutions of linear systems, Laplace transforms, series solutions, separation of variables in partial differential equations, boundary value problems, and Fourier series. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in MATH 081 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/open exit non-credit course. (C-ID MATH240)

**Prerequisites: MATH 067 or equivalent college course with "C" or better**

**Advisory on Recommended Preparation:**MATH 080 or equivalent college course with "C" or better.

**MATH 154 Trigonometry 4 unit(s)**

Hours: 4 Lecture/Discussion

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, polar coordinates, and introduction to vectors. Students enrolled in MATH 154 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/open exit non-credit course. (C-ID MATH851)

**Prerequisites: MATH 230 or equivalent college course with "C" or better**

**MATH 200 Elementary Algebra 4 unit(s)**

Hours: 4 Lecture/Discussion

This intensive one-semester course in elementary algebra covers operations with real numbers, linear equations and inequalities, graphing, systems of equations, word problems, exponents, factoring, and rational expressions. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in MATH 200 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/open exit non-credit course.

**MATH 230 Intermediate Algebra 4 unit(s)**

Hours: 4 Lecture/Discussion

This is a four-hour-a-week intensive one-semester course in intermediate algebra covering: radical expressions and equations, quadratic equations, functions, logarithmic and exponential functions, and conic sections. This course satisfies the math requirement for an Associate's degree. Supplemental learning assistance is available for students to strengthen skills and to reinforce student mastery of concepts. Students enrolled in MATH 230 may access the supplemental learning assistance by enrolling in MATH 400, an open entry/open exit non-credit course. Approved for Distance Learning format.

**Prerequisites: MATH 200 or equivalent college course with "C" or better**

**MATH 360 Pre-Algebra 4 unit(s)**

Hours: 4 Lecture/Discussion

This course focuses on the fundamental operations of whole and signed numbers, fractions, mixed numbers, decimals, and their use in applied problems. Other topics include factors and multiples, ratios, proportions, introductory algebra, percents, unit conversions, and geometric measurements. All topics are taught with a pre-algebra perspective.

**MATH 400 Math Supplemental Lrng Assist 0 unit(s)**

Hours: 3.1 Lab

**MATH 401 Prep/Quant Qualifying Exams 0 unit(s)**

Hours: 0.69 Lecture/Discussion

A survey of the strategies and skills needed to prepare for exams that require familiarity with 7-11th grade math standards. Test preparation strategies and study methods will assist students in performing better on college placement exams. Approved for Distance Education format.