# Mathematics (MATH)

MATH-055  Accelerated Pre-Algebra with Arithmetic

4 Units (LEC 64-72)

This course provides an accelerated route to MATH-090. It covers arithmetic with rational number, including applications, percentages, and solving equations. Topics in algebra will be introduced. The first portion involves non-negative rational numbers while the last portion includes all rational numbers.

Prerequisite: MATH-904 or appropriate placement. A recent change in California law (AB 705) allows placement of students in college-level math and clears the prerequisite for this course.

Not transferable

MATH-060  Pre-Statistics

4 Units (LEC 64-72)

This course teaches the prerequisite topics in Pre-algebra, algebra, and descriptive statistics necessary for a student to be successful in an introductory statistics course. Some of the items covered are solving literal equations, computations using a calculator, graphing, use of technology such as statcrunch or minitab, probability, and computing measures of center and variation. Applications to everyday life will be a main point of this course.

Prerequisite: MATH-904 or appropriate placement.

Not transferable

MATH-081  Support for Ideas for Mathematics

1 Unit (LBE 48-54)

This course will provide students with additional support in learning the concepts and gives more time with the instructor to increase the probability of being successful in Math 115. Concepts to be covered include truth table, statistics, probability and working with Venn diagrams. Offered as pass/no pass only.

Corequisite: MATH-115.

Not transferable

MATH-082  Support for College Algebra or Precalculus

1 Unit (LBE 48-54)

This course covers the topics necessary to be successful in Math 105 or Math 110. It covers core prerequisite skills, competencies, and concepts from Intermediate Algebra. Topics will include equations and inequalities, linear and non-linear functions, factoring polynomials, complex numbers, as well as graphing functions and conic sections. Offered as pass/no pass only.

Corequisite: MATH-105 or MATH-110.

Not transferable

MATH-083  Support for Introduction to Statistics

1 Unit (LBE 48-54)

This course covers the topics necessary to be successful in Math 140. It covers prerequisite material from arithmetic, prealgebra, and algebra. It also covers some of the more basic concurrent material from statistics. Offered as pass/no pass only.

Corequisite: MATH-140.

Not transferable

MATH-090  Elementary Algebra

4 Units (LEC 64-72)

This course will cover solving linear equations, systems of linear equations, equations involving algebraic fractions, and quadratic equations by factoring and utilizing the Quadratic Formula. These skills will be applied to set up and solve application problems. Other topics include how to graph lines, conic sections, and exponential functions as well as perform arithmetic with both polynomial and rational expressions, and how to factor polynomials.

Prerequisite: MATH-055 (with a grade of C or better) or appropriate placement. A recent change in California law (AB705) allows placement of students in college-level math and clears the prerequisite for this course.

Not transferable

MATH-090A  Elementary Algebra Part A

3 Units (LEC 48-54)

This course will cover topics from the first half of an Elementary Algebra course. Students are given more time to understand abstract concepts, such as solving linear equations and applications, graph lines, and solving systems of equations. Together, MATH-090A and MATH-090B are equivalent to MATH-090.

Prerequisite: MATH-055 (with a grade of C or better) or appropriate placement.

Not transferable

MATH-090B  Elementary Algebra Part B

3 Units (LEC 48-54)

This course is the second half of the year-long Elementary Algebra course. Students will solve applications, perform rational expression arithmetic, solve equations involving algebraic fractions, factor polynomials, and solve quadratic equations. This course is designed to give students ample time to learn concepts.

Prerequisite: MATH-090A (with a grade of C or better).

Not transferable

MATH-094  Accelerated Algebra

6 Units (LEC 96-108)

This course will cover topics from Elementary and Intermediate Algebra to prepare students for transfer-level math courses. Topics for this class include solving linear, absolute value, radical and quadratic equations and inequalities and systems of equations. Application problems are an essential part of the course. Function notation, domain, range and determining if a relation is a function will be explored, as well as graphing of conic sections and several types of functions including exponential functions.

Prerequisite: Appropriate placement. A recent change in California law (AB 705) allows placement of students in college-level math and clears the prerequisite for this course.

Not transferable

AA/AS General Education: AA/AS G

MATH-096  Intermediate Algebra

5 Units (LEC 80-90)

This course prepares the student for transfer-level math courses. Topics for this class include solving absolute value inequalities, radical, exponential and logarithmic equations along with systems of equations involving three variables, application problems, graphing of conic sections and several types of functions including exponential functions will also be covered. Function notation, domain, range, composition of functions and inverse functions will be explored.

Prerequisite: None. Recommended Preparation: MATH-090 or MATH-090B.

Not transferable

AA/AS General Education: AA/AS G

MATH-096A  Intermediate Algebra Part A

3 Units (LEC 48-54)

This course is the first half of the year-long Intermediate Algebra course. Students will distinguish between the real number sets, solve quadratic, rational, absolute value equations and inequalities, related applications, factor polynomials, simplify expressions containing radicals or rational exponents, evaluate function notation, determine if the graph represents a function and find the domain and range and develop math study skills.

Prerequisite: MATH-090 or MATH-090B (with a grade of C or better) or appropriate placement.

Not transferable

MATH-096B  Intermediate Algebra Part B

3 Units (LEC 48-54)

This course is the second half of the year-long Intermediate Algebra course preparing students for transfer level math courses. Students will solve quadratic, rational and radical equations, related applications, graph function, simplify expressions containing rational exponents, construct graphs of conic sections, graph exponential functions and formulate the logarithmic equivalent to an exponential equation and vice versa. This course is designed to give students ample time to learn concepts and to further develop math study skills.

Prerequisite: MATH-096A (with a grade of C or better).

Not transferable

AA/AS General Education: AA/AS G

MATH-105  College Algebra

4 Units (LEC 64-72)

This course covers graphing of polynomial, rational and transcendental functions and conic sections, solving of polynomial, rational, exponential and logarithmic equations and related applications, solving of systems of linear equations utilizing determinants, function theory including notation, combination and composition as well as existence and formulation of inverses, sequences and the Binomial Theorem.

Prerequisite: MATH-096 or MATH-096B or MATH-094 (with a grade of C or better) or placement in MATH-105. A recent change in California law (AB 705) allows placement of students in college-level math and clears the prerequisite for this course. Completion of high school Intermediate Algebra/Algebra 2 or equivalent course is highly recommended. Students who have not completed Intermediate Algebra are more likely to be successful in Statistics (Math 140) or Ideas of Mathematics (Math 115).

Transfers to both UC/CSU

C-ID: MATH 151

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-105H  Honors College Algebra

4 Units (LEC 64-72)

This course covers graphing of polynomial, rational and transcendental functions and conic sections, solving of polynomial, rational, exponential and logarithmic equations and related applications, solving of systems of linear equations utilizing determinants, function theory including notation, combination and composition as well as existence and formulation of inverses, sequences and the Binomial Theorem.

Prerequisite: Acceptance into the Honors Enrichment Program., MATH-096 or MATH-096B or MATH-094 (with a grade of C or better) or placement in MATH-105. A recent change in California law (AB 705) allows placement of students in college-level math and clears the prerequisite for this course. Completion of high school Intermediate Algebra/Algebra 2 or equivalent course is highly recommended. Students who have not completed Intermediate Algebra are more likely to be successful in Statistics (Math 140) or Ideas of Mathematics (Math 115).

Transfers to CSU only

AA/AS General Education: AA/AS G

MATH-110  Pre-Calculus

4 Units (LEC 64-72)

This course is designed to prepare students for Calculus. The topics covered include a review of selected algebra topics: polynomial, rational, exponential, and logarithmic functions, conic sections, and sequences and series. The course also introduces students to new topics in analytic trigonometry: trigonometric functions and their graphs and applications, as well as proof by mathematical induction.

Prerequisite: MATH-105 (with a grade of C or better) or appropriate placement.

Transfers to both UC/CSU

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-115  Ideas of Mathematics

3 Units (LEC 48-54)

This course covers topics in applications of sets, counting, probability, statistics and logic.

Prerequisite: MATH-096 or MATH-096B or MATH-094 (with a grade of C or better) or appropriate placement. A recent change in California law (AB 705) allows placement of students in college-level math and clears the prerequisite for this course.

Transfers to both UC/CSU

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-135  Calculus for Social Science and Business

3 Units (LEC 48-54)

This course covers functions and their graphs, including exponential and logarithmic functions, limits, differentiation and integration. It includes applications to business, economics and the social sciences, and introduces multivariable calculus.

Prerequisite: MATH-105 (with a grade of C or better) or appropriate placement.

Transfers to both UC/CSU

C-ID: MATH 140

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-140  Introduction to Statistics

3 Units (LEC 48-54)

This course is an introduction to the concepts, ideas and applications of probability and statistics. Math 140 covers descriptive statistics, elementary probability, probability distributions, estimation of population parameters, hypothesis testing, correlation, linear regression and ANOVA. Applications will be taken from the fields of business, economics, social sciences, life sciences, engineering and physical sciences.

Prerequisite: MATH-096 or MATH-096B or MATH-094 (with a grade of C or better) or appropriate placement. A recent change in California law (AB 705) allows placement of students in college-level math and clears the prerequisite for this course.

Transfers to both UC/CSU

C-ID: MATH 110

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-155  Mathematics for Elementary Teaching (formerly Mathematics for Elementary Teaching I)

3 Units (LEC 48-54)

This course focuses on the development of quantitative reasoning skills through integrated exploration of: sets, number systems up to and including real numbers, arithmetic operations, basic number theory, ratio and proportion, and percent. Emphasis is on comprehension and analysis of mathematical concepts and applications.

Prerequisite: MATH-096 or MATH-096B or MATH-094 (with a grade of C or better) or appropriate placement. A recent change in California law (AB 705) allows placement of students in college-level math and clears the prerequisite for this course. Completion of high school Intermediate Algebra/Algebra 2 or equivalent course is highly recommended. Students who have not completed Intermediate Algebra are more likely to be successful in Statistics (Math 140) or Ideas of Mathematics (Math 115).

Transfers to CSU only

AA/AS General Education: AA/AS G

MATH-211  Analytic Geometry and Calculus I

4 Units (LEC 64-72)

This course is the first in the Calculus sequence. Students will compute limits, identify regions of continuity, and differentiate and integrate algebraic and trigonometric functions. Applications of differentiation and integration to problems of graphing, related rates, optimization, areas, volumes, arc-length, and rectilinear motion are included.

Prerequisite: MATH-110 (with a grade of C or better) or placement in MATH-211.

Transfers to both UC/CSU

C-ID: MATH 211
C-ID: MATH 900S

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-211H  Honors Analytic Geometry and Calculus I

4 Units (LEC 64-72)

This course is the first in the Calculus sequence. Students will compute limits, identify regions of continuity, and differentiate and integrate algebraic and trigonometric functions. Applications of differentiation and integration to problems of graphing, related rates, optimization, areas, volumes, arc-length, and rectilinear motion are included.

Prerequisite: Acceptance into the Honors Enrichment Program., MATH-110 (with a grade of C or better) or placement in MATH-211.

Transfers to CSU only

AA/AS General Education: AA/AS G

MATH-212  Analytic Geometry and Calculus II

4 Units (LEC 64-72)

This course is the second in the Calculus sequence. Students will differentiate exponential, logarithmic, and inverse trigonometric functions, perform logarithmic differentiation, and learn techniques of integration. Evaluating improper integrals, indeterminate forms using L'Hopital's Rule, and infinite series are also included as well as polar coordinates, curves, conic sections, parametric equations, and separable first-order differential equations.

Prerequisite: MATH-211 (with a grade of C or better).

Transfers to both UC/CSU

C-ID: MATH 221
C-ID: MATH 900S

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-212H  Honors Analytic Geometry and Calculus II

4 Units (LEC 64-72)

This course is the second in the Calculus sequence. Students will differentiate exponential, logarithmic, and inverse trigonometric functions, perform logarithmic differentiation, and learn techniques of integration. Evaluating improper integrals, indeterminate forms using L'Hopital's Rule, and infinite series are also included as well as polar coordinates, curves, conic sections, parametric equations, and separable first-order differential equations.

Prerequisite: Acceptance into the Honors Enrichment Program., MATH-211 (with a grade of C or better).

Transfers to both UC/CSU

C-ID: MATH 221
C-ID: MATH 900S

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-213  Analytic Geometry and Calculus III

5 Units (LEC 80-90)

This course covers vectors in 2 and 3 dimensions, partial derivatives, multiple integrals, volumes and surface areas, line integrals, Green's and Stokes' Theorems.

Prerequisite: MATH-212 (with a grade of C or better).

Transfers to both UC/CSU

C-ID: MATH 230

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-213H  Honors Analytic Geometry and Calculus III

5 Units (LEC 80-90)

This course covers vectors in 2 and 3 dimensions, partial derivatives, multiple integrals, volumes and surface areas, line integrals, Green's and Stokes' Theorems.

Prerequisite: Acceptance into the Honors Enrichment Program., MATH-212 (with a grade of C or better).

Transfers to both UC/CSU

C-ID: MATH 230

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-215  Differential Equations

4 Units (LEC 64-72)

This course is an introduction to differential equations. It introduces theoretical aspects of the differential equations as well as its applications in various disciplines such as engineering and life sciences. It explores existence of solutions, methods of solutions, Laplace transforms, and linear systems.

Prerequisite: MATH-212 (with a grade of C or better).

Transfers to both UC/CSU

C-ID: MATH 240

IGETC Area(s): 2A

CSU Area(s): B4

AA/AS General Education: AA/AS G

MATH-215H  Honors Differential Equations

4 Units (LEC 64-72)

This course is an introduction to differential equations. It introduces theoretical aspects of the differential equations as well as its applications in various disciplines such as engineering and life sciences. It explores existence of solutions, methods of solutions, Laplace transforms, and linear systems.

Prerequisite: Acceptance into the Honors Enrichment Program., MATH-212 (with a grade of C or better).

Transfers to CSU only

AA/AS General Education: AA/AS G

MATH-218  Linear Algebra

3 Units (LEC 48-54)

This course covers matrix algebra, matrices and linear equations, determinants, vector spaces, linear transformations, quadratic forms, eigenvalues, eigenvectors, orthogonal matrices, and symmetric matrices. It also examines related topics and applications.

Prerequisite: MATH-211 (with a grade of C or better).

Transfers to both UC/CSU

IGETC Area(s): 2A

CSU Area(s): B4

MATH-299  Special Projects: Math

1-3 Unit (IS 16-54)

Students with previous course work in the program may do special projects that involve research and special study.

Prerequisite: Two Math classes must be completed prior to enrollment; a contract must be completed with the instructor prior to enrollment.

Transfers to CSU only