**MATH-080 Strategies in Math**

*3 Units: 54 hours of lecture, per term, P/NP, ND*

*Advisory: Designed for students with learning disabilities.*

Co-requisite: CIS 095

This course provides instruction for disabled students in basic math processes and work with fractions and decimals. Applying math skills to problem solving context is a significant part of this class. 30 additional hours of computer based instruction for skill practice and developing competence is required. Repeatable for students with learning disabilities.

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**MATH-100 Topics in Mathematics**

*.5-4 Units: 9-90 hours of lecture and/or 27-216 hours of laboratory, per term, SC, DG*

This course covers topics in Mathematics.Topics will be chosen to supplement and serve as additions to current offerings in the area, and will be announced each term in the current schedule of classes.

**MATH-101 Basic Skills of Arithmetic**

*3 Units: 54 hours of lecture, , per term, SC, ND*

This course teaches basic skills with natural numbers, common fractions and decimal fractions; and applications of basic skills to percentage, consumer arithmetic and measurements. Not open to students eligible for Math 118.

**MATH-115 Pre-Algebra**

*3 Units: 54 hours of lecture, per term, SC, ND*

This course presents percentages, metric system, powers and roots, measurement of plane and solid figures, signed numbers, and the solution of linear equations of the first degree in one unknown.Also included will be the addition, subtraction, multiplication and division of algebraic polynomials.(Not open to students who have completed MATH 118.)

**MATH-117A ****Mathematics for Automotive Technology**

*3 Units: 54 hours of lecture per term, SC, ND*

This course will provide students with the mathematical foundation necessary to enter an Associate of Science degree or vocational program in the automotive field. All topics will be introduced and, to the greatest extent possible, practiced with the contexts in which they are used in the field. Topics include arithmetic with non-negative rational numbers; measurement of length, perimeter, area and volume; ratio, proportion, and percent; angle measurement; signed arithmetic and the metric system.

**MATH-118 Elementary Algebra**

*5 Units: 90 hours of lecture, per term, LR, ND*

*This course has been additionally approved to be offered in a Distance Education online format. *

This course presents the real number system, solving and graphing linear equations and inequalities, polynomials, exponents and radicals, and introduction to quadratic equations.(Students who have successfully completed one year of algebra in high school will not receive credit for MATH 118).

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**MATH-119 Plane Geometry**

*5 Units: 90 hours of lecture, per term, LR, DG*

*Prerequisite: MATH 118*

*Advisory: Concurrent enrollment in MATH 875N is highly recommended.*

This course presents geometric constructions, triangles, congruence, parallelograms, circles, loci and similar polygons with emphasis on formal proof as an aid to logical reasoning. (Students who have successfully completed high school geometry will not receive credit for MATH 119.)

**MATH-120 Intermediate Algebra**

*5 Units: 90 hours of lecture, per term, LR, DG*

*Prerequisite: MATH 118*

This course has been additionally approved to be offered in a Distance Education online format.

This course provides review and further development of material of MATH 118, second-degree equations and inequalities, functions, conic sections, systems of equations, and exponential and logarithmic functions. (Students who have successfully completed two years or more of algebra in high school will not receive credit for MATH 120.)

**MATH-121 Trigonometry**

*3 Units: 54 hours of lecture, per term, LR, DG, CSU*

*Advisory: MATH 119 and concurrent enrollment in MATH 875N are highly recommended.*

This course will introduce the trigonometric functions by using ratios of sides of a triangle. After extending the domains of the trigonometric functions to arbitrary angles and real numbers, we consider their graphs. We simplify complicated trigonometric expressions and learn to solve equations that involve trigonometric functions.

**MATH-135 College Algebra**

*3 Units: 54 hours of lecture per term, LR, DG, CSU, UC*

*Prerequisite: MATH 120 or satisfactory score on COMPASS placement exam*

*Advisory: MATH 875-N*

*This course meets the CSU General Education requirement for Areas B4-Quantitative Reasoning and the IGETC for Area 2A: Quantitative Reasoning*

This course presents the elements of coordinate geometry, algebraic functions, exponential and logarithmic functions, inverse functions, and application including curve sketching.

**MATH-164 Introduction to Probability ****
**** and Statistics**

*4 Units: 72 hours of lecture, per term, LR, DG, CSU, UC*

*Prerequisite: MATH 120*

This course meets the CSU General Education requirement for Area B4-Mathematics/Quantitative Reasoning, and the IGETC for Area 2: Mathematical Concepts and Quantitative Reasoning. This course has been additionally approved to be offered in a Distance Education, Online, format.

This course introduces the theory of probability and a study of descriptive statistics and statistical inference.Included will be a general study of measures of central tendency and dispersion, probability models, random variables, probability distributions, and hypothesis testing. This is designed to serve as an introductory course in statistics for the student in business, psychology, life sciences and social sciences.

**MATH-170 Finite Mathematics**

*5 Units: 90 hours of lecture, per term, LR, DG, CSU, UC*

*Prerequisite: MATH 120 or two years of high school algebra.*

*This course meets the CSU General Education requirement for Area B4-Mathematics/Quantitative Reasoning, and the IGETC for Area 2: Mathematical Concepts and Quantitative Reasoning. *

This course presents the elementary aspects of discrete probability theory, mathematics of finance, linear algebra and linear programming.Intended to strengthen the mathematical back- ground of students of the life, social and management sciences for later courses in statistics, this course is especially recommended for majors in business, biological science, and psychology.

**MATH-171 Elementary Functions ****
****and Coordinate Geometry**

*5 Units: 90 hours of lecture, per term, LR, DG, CSU, UC*

*Prerequisite: MATH 120 or two years of high school algebra.*

This course meets the CSU General Education requirement for Area B4-Mathematics/Quantitative Reasoning, and the IGETC for Area 2: Mathematical Concepts and Quantitative Reasoning.

This course presents the elements of coordinate geometry; algebraic and transcendental functions, including polynomial, rational, exponential, logarithmic, trigonometric and other algebraic functions; inverse functions; and curve sketching.

**MATH-180 Applied Calculus**

*4 Units: 72 hours of lecture, per term, LR, DG, CSU, UC*

*Prerequisite: MATH 170*

This course meets the CSU General Education requirement for Area B4-Mathematics/Quantitative Reasoning, and the IGETC for Area 2: Mathematical Concepts and Quantitative Reasoning.

This course provides a basic working knowledge of calculus, covering algebraic and transcendental functions and their graphs, derivations, integrals and applications.This is a service course intended for students majoring in the life sciences, social sciences, architecture, business, forestry, pharmacy, engineering technology or electronic technology (Not open to students who have completed MATH 191).

**MATH-185 Discrete Mathematics**

*3 Units: 54 hours of lecture, per term, LR, DG, CSU, UC*

*Prerequisite: MATH 171or both MATH 121 and MATH 135.*

This course covers fundamental topics for Computer Science, such as logic, proof techniques, sets, introduction to computer programming, basic counting rules, relations, functions and recursion, graphs and probability trees.

This course meets the CSU General Education requirement for Area B4-Mathematics/Quantitative Reasoning, and the IGETC for Area 2: Mathematical Concepts and Quantitative Reasoning. Emphasis will be on topics of interest to students of computer science and mathematics.

**MATH-190 Analytic Geometry and Calculus I**

*5 Units: 90 hours of lecture, per term, LR, DG, CSU, UC*

*Prerequisite: MATH 171 or MATH 121 and MATH 135*

This course is the first course in differential and integral calculus of a single variable: functions; limits and continuity; techniques and applications of differentiation and integration; Fundamental Theorem of Calculus. Primarily for Science, Technology, Engineering & Math Majors.

**MATH-191 Analytic Geometry and Calculus II**

*4 Units: 72 hours of lecture, per term, LR, DG, CSU, UC*

*Prerequisite: MATH 190*

This course is the second course in differential and integral calculus of a single variable: integration; techniques of integration; infinite sequences and series; polar and parametric equations; applications of integration. Primarily for Science, Technology, Engineering & Math Majors.

**MATH-200 Introduction to Linear Algebra**

*4 Units: 72 hours of lecture, per term, LR, DG, CSU, UC*

*Prerequisite: MATH 191, may be taken concurrently. *

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. 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.

**MATH-290 Analytic Geometry and Calculus III**

*5 Units: 90 hours of lecture, per term, LR, DG, CSU, UC*

*Prerequisite: MATH 191*

. This course presents vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green’s Theorem, Stokes’ Theorem, divergence theorem.

**MATH-292 Introduction to Differential Equations**

*4 Units: 72 hours of lecture, per term, LR, DG, CSU, UC*

*Prerequisite: MATH 191.*

*Advisory: MATH 290.*

. The course is an introduction to ordinary differential equations including both quantitative and qualitative methods as well as applications from a variety of disciplines. Introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, and singular points, Laplace transforms and linear systems.

**MATH-298 Independent Study**

*.2-4 Units: 3.6-72 hours of independent study, per term, SC, DG*

*Prerequisite: Educational contract of study signed by an instructor, department chair and Vice President. Topics must extend beyond regular course offerings.*

This course is designed for selected students to pursue independent study in Mathematics under the direction of an instructor.

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**MATH-875N Computer Assisted Tutoring-Math**

An individualized self-paced CAI (computer aided instruction) laboratory for students to develop their basic skills in mathematics.Small study groups will also be utilized. This laboratory provides supplemental tutorials utilizing alternative learning modes and materials. With instructor assistance and supervision following appropriate diagnosis, learning contracts will be arranged to address students’ individual academic needs and goals. Enrollment will be open to all students who demonstrate basic skill deficiency as measured by the college assessment instruments or students’ informed self-decisions. May be repeated indefinitely.