# Mathematics Courses

**MATH-080 Strategies in Math**

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

*Advisory:** Designed for students with learning disabilities.*

*Corequisite:** 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. Thirty additional hours of computer based instruction for skill practice and developing competence is required. Repeatable for students with learning disabilities.

**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-102 Math Skills Laboratory**

**.2-5 Units: 10.8-270 hours of lab, per term, P/NP, ND**

This course is designed for students who wish to improve their mathematics skills. Based on student self-evaluation and/or faculty referrals, MATH-102 faculty provide individualized math instruction and support. Units of credit are earned based on the number of hours completed under the supervision of faculty in the Math Lab (AA-210). May be taken up to the maximum of five units.

**MATH-115 Basic Arithmetic and Pre-Algebra**

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

This course teaches basic skills with natural numbers, signed

numbers, signed fractions, and signed decimal fractions. The

course also presents percentages, metric system, powers and

roots, measurement of plane and solid figures, and the solution

of linear equations of the first degree. The student will also be

introduced to ratios, proportions, and the Rectangular Coordinate

System. Polynomial arithmetic (excluding division) is also covered.

Students will also learn success skills during the course. 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 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).

**MATH-119 Plane Geometry**

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

*Prerequisite:** MATH-118*

This course presents geometric constructions, triangles, congruence, parallelograms, circles, loci of points 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 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**

*Prerequisite:** MATH-120*

*Advisory:** MATH-119 *

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-122 Beginning and Intermediate Algebra for STEM**

**6 units: 90 hours of lecture, 54 hours of lab, per term, LR, DG**

Zoom toward calculus: This accelerated course covers beginning

and intermediate algebra (MATH-118 and 120) in one course,

and also gives you a taste of trigonometry to help you succeed

in precalculus (MATH-171) and calculus (MATH-190). In this

accelerated course, we will explore linear, quadratic, exponential, logarithmic, and trigonometric functions. We will investigate the concepts from multiple perspectives, including tables, graphs, algebraic, and written descriptions. Familiarity with order of

operations and signed numbers is recommended. This course is

recommended for students who are willing to spend a minimum

of 10 study hours outside of class each week.

**MATH 125 Algebra for Statistics**

**6 Units: 90 hours of lecture, 54 hours of laboratory per term, SC, DG **

This course is an accelerated one-semester course designed to prepare students for transfer-level statistics (MATH-164). MATH-125 covers core concepts from arithmetic, pre-algebra, elementary and intermediate algebra and descriptive statistics that are needed to understand the basics of college-level statistics. This course is designed for students who do not want to major in math, science, computer science, or business.

**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-875N*

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

**MATH-151 Teaching Fractions**

**2 Units: 36 hours of lab, per term, SC, ND**

This course provides an in-depth study of teaching fractions in relation to the California state standards and the learning requirements for students in grades 3-7. The study of fractions is related to preparing students for college mathematics. This course is intended for elementary and middle school math teachers.

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

**4 Units: 72 hours of lecture, per term, LR, DG, CSU, UC (C-ID: MATH 110)
Prerequisite: Math-120 or Math-125**

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 (C-ID: MATH 130)**

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

This course presents the elementary aspects of discrete probability theory, including Venn diagrams and combinatorial techniques, mathematics of finance, linear algebra, linear functions and inequalities, and linear programming. Intended to strengthen the mathematical background 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, economics, 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 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 (C-ID: MATH 140)**

*Prerequisite:** MATH-120*

This course presents a study of the techniques of calculus with emphasis placed on the application of these concepts to business and management related problems. The applications of derivatives and integrals of functions including polynomials, rational, exponential and logarithmic functions are studied.

**MATH-185 Discrete Mathematics**

**3 Units: 54 hours of lecture, per term, LR, DG, CSU, UC (C-ID: MATH 160)**

*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. 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
(C-ID: MATH 210; C-ID: MATH 900S)**

*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
(C-ID: MATH 220; C-ID: MATH 900S)**

*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 (C-ID: MATH 250)**

*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
(C-ID: MATH 230; C-ID: MATH 900S)**

*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 (C-ID: MATH 240)**

*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.

**MATH-875N ****Supervised Mathematics Tutoring**

This course provides individualized mathematics tutoring designed to assist students to increase their success in college. Students enrolled in this course receive support from trained tutors in one or more mathematics courses per semester. Content will vary depending on the course subject matter. Students must be enrolled in a college credit course. May be repeated indefinitely.

**MATH-890N Bridge to MATH 120 Success**

This course is designed to give students a basic understanding of math. It covers concepts necessary to be successful in MATH-120. May be repeated indefinitely.