# Mathematics

## About the Program

The Associate in Science in Mathematics for Transfer (AS-T) degree will prepare students with the strong foundation necessary for pursing studies at the university level in various majors such as mathematics, statistics, engineering, physics, chemistry, computer science, economics and business. A grade of “C” or better is required in all coursework completed for the major.

The AS-T in Mathematics is intended for students who plan to complete a baccalaureate degree in Mathematics or a related field of study at a California State University (CSU). Students who complete this degree are guaranteed admission to the CSU system, but not to a particular campus or major. Students transferring to a CSU campus that accepts the AS-T will be required to complete no more than 60 semester units after transfer to earn a baccalaureate degree.

**For additional information, see a counselor, visit the Career/Transfer Center, or contact the following:**

Name/Office | Phone Number |
---|---|

Mathematics and Science Division | (408) 288-3716 |

**MATH 013 Intermediate Algebra 5 Units**

Students will review elementary algebra topics and further their skills in solving absolute value in equations and inequalities, quadratic functions and complex numbers, radicals and rational exponents, exponential and logarithmic functions, inverse functions, and sequences and series. This course continues the Algebra sequence and is a prerequisite to transfer level math courses.

Lecture Hours: 5 Lab Hours: None Repeatable: No Grading: O

Prerequisite: MATH 111 with P grade or equivalent

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: None Degree Applicable: AS

CSU GE: None IGETC: None District GE: None

**MATH 013A Intermediate Algebra Part A 3 Units**

Students will learn about absolute value equations and inequalities, quadratic functions and complex numbers. This is the first half of the Intermediate Algebra course sequence which is a prerequisite to transfer level math course. This course continues the Algebra sequence and is a prerequisite to transfer level math courses. The completion of MATH 013A and MATH 013B is equivalent to MATH 013.

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 111 with P grade or equivalent

Advisory Level: Read: 3 Write: 3 Math: 2

Transfer Status: None Degree Applicable: AS

CSU GE: None IGETC: None District GE: None

Credit by Exam: Yes

**MATH 013B Intermediate Algebra Part B 3 Units**

Students will study radicals and rational exponents, exponential and logarithmic functions, and sequences and series. This course is the continuation of Math 13A. This course continues the Algebra sequence and is a prerequisite to transfer level math courses. The completion of MATH 013A and MATH 013B is equivalent to MATH 013.

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: O

Prerequisite: MATH 013A with a C or better.

Advisory Level: Read: 3 Write: 3 Math: 3

Transfer Status: None Degree Applicable: AS

CSU GE: None IGETC: None District GE: None

Credit by Exam: Yes

**MATH 014 Geometry 3 Units**

Students will study logical proofs, simple constructions, and numerical calculations. The course involves the study of plane geometric figures and relationships.

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: O

Prerequisite: MATH 111 with P grade or placement based on math assessment

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: None Degree Applicable: AS

CSU GE: None IGETC: None District GE: None

**MATH 021 Precalculus Algebra 4 Units**

Students will study topics which include basic algebraic concepts, complex numbers, equations and inequalities, graphs of functions, linear and quadratic functions, polynomial functions of higher degree, rational, exponential, absolute value, and logarithmic functions, sequences and series, and conic sections. This course is designed to prepare students for the level of algebra required in calculus. Students may not take a combination of MATH 021 and MATH 025. (C-ID MATH 151)

Lecture Hours: 4 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 013 with C or better

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

Credit by Exam: Yes

**MATH 021X Just-In-Time Support for Precalculus Algebra 2 Units**

Students will receive "just-in-time" review of the core prerequisite skills, competencies, and concepts needed in Precalculus. Intended for majors in science, technology, engineering, and mathematics who are concurrently enrolled in MATH 21 Precalculus. Topics include: a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, absolute value equations and inequalities, functions including composition and inverses, and an in-depth focus on quadratic functions. This course is appropriate for students who are confident in beginning algebra skills. This course is recommended for students advised to receive additional academic and concurrent support. Students are strongly encouraged to meet with an academic counselor.

Lecture Hours: 2 Lab Hours: None Repeatable: No Grading: K

Transfer Status: None Degree Applicable: AA/AS

CSU GE: None IGETC: None District GE: None

**MATH 022 Trigonometry 3 Units**

Students will study trigonometric functions and equations, basic identities, graphing, inverse trigonometric functions, vectors, polar coordinates, and polar equations. This course in numerical and analytical trigonometry is designed to prepare students for the level of trigonometry and advanced algebraic concepts necessary for calculus. Students may not take a combination of MATH 022 and MATH 025.

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 013 and MATH 014, both with C or better

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU Degree Applicable: AA/AS

CSU GE: B4 IGETC: None District GE: B4

Credit by Exam: Yes

**MATH 025 Precalculus Algebra and Trigonometry 6 Units**

Students will study basic algebraic concepts, complex numbers, equations and inequalities, graphs of functions, system of equations and inequalities, linear and quadratic functions, polynomial functions of higher degree, rational, exponential, logarithmic, and trigonometric functions, inverse functions, basic identities, vectors, polar coordinates and graphs, and conic sections. This course is an intensive combined course in college algebra and trigonometry designed primarily as preparation for calculus. Students may take both MATH 021 and MATH 022 or take only MATH 025. (C-ID MATH 955)

Lecture Hours: 6 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 013 and MATH 014, both with C or better.

Advisory Level: Read: 3 Write: 3 Math: 3

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

Credit by Exam: Yes

**MATH 051 Mathematics for General Education 3 Units**

Students will study topics including functions and models, geometry, problem solving, financial management, counting methods, and probability. This course is intended for transfer students with non-science majors. Successful completion of this course will fulfill the general education requirement in Mathematics for the California State University (CSU) system.

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 013 with C or better or equivalent

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A, 4 District GE: B4

Credit by Exam: Yes

**MATH 052 Mathematics for Elementary Education 3 Units**

Students will study the development of quantitative reasoning skills through in-depth exploration of the structures of the real number system and subsystems, elementary number theory, and the use of manipulatives to present mathematical concepts to children. Students will develop lesson plans and teaching techniques appropriate for an elementary school setting. Additionally, there will be an emphasis on comprehension and analysis of mathematical concepts and applications of logical reasoning. Mathematics 52 is designed especially for prospective elementary school teachers. (C-ID MATH 120)

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 013 and MATH 014, both with C or better.

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: None District GE: B4

**MATH 061 Finite Mathematics 3 Units**

Students will study how to apply algebra to solve problems in economics, the behavioral sciences, and the social sciences. Course topics include systems of linear equations and inequalities, matrices, linear programming, set theory, counting techniques, probability theory, and the mathematics of finance. (C-ID MATH 130)

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 013 with C or better

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

**MATH 062 Calculus for Business and the Social Sciences 3 Units**

Students study functions and graphs; limits; continuity; differentiation and integration of polynomials, rational functions, power functions, exponential functions, and logarithmic functions; partial differentiation; and applications of these topics in business and social science. This course includes single variable calculus and an introduction to multivariable calculus with applications for students majoring in business or social science. (C-ID MATH 140)

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 021 or MATH 025 with C or better

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

**MATH 063 Elementary Statistics 3 Units**

Students are introduced to the study of statistics. Students will learn methods of displaying data, descriptive statistics, basic concepts of probability theory, random variables, common statistical distributions, estimates and sample size, hypothesis testing, goodness-of-fit test, contingency table analysis, tests of two independent population parameters, Chi-square, ANOVA, and regression and correlation. Students will apply basic statistical concepts to data from education, business, social sciences, and natural sciences. To aid in the analysis of data, the use of computational technology will be required. (C-ID MATH 110)

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 013 with C or better

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

**MATH 063X Just-In-Time Support for Elementary Statistics 2 Units**

Students will receive "just-in-time" review of skills, concepts and competencies needed to succeed in statistics. This course will cover topics from arithmetic, pre-algebra, elementary and intermediate algebra that are required for statistics. Students will also develop and practice study skills that promote success in MATH 063 Elementary Statistics. This course is recommended for students advised to receive additional academic and concurrent support. Students are strongly encouraged to meet with an academic counselor.

Lecture Hours: 2 Lab Hours: None Repeatable: No Grading: K

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: None Degree Applicable: AA/AS

CSU GE: None IGETC: None District GE: None

**MATH 064 Integrated Statistics I 5 Units**

Students will master descriptive statistics that include measures of center, spread and shape, bivariate linear correlation and regression with lines of best fit to make predictions, judge the fit of linear and exponential models to distributions, basic laws of probability illustrated with the law of large numbers and 2-Way tables and deriving population parameters from normal distribution and z-scores. MATH 064 is the first of a two-semester course sequence in Integrated Statistics and offers an alternative path for non-STEM majors. Students are required to meet with a counselor before enrolling in this sequences of courses.

Lecture Hours: 5 Lab Hours: None Repeatable: No Grading: K

Prerequisite: MATH 311 with P grade

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: None Degree Applicable: NAA

CSU GE: None IGETC: None District GE: None

**MATH 065 Integrated Statistics II 5 Units**

Students will master methods of inferential statistics by constructing confidence intervals and hypothesis tests. They will study methods for collecting data, graphical and numerical descriptive statistics, correlation, simple linear regression, basic concepts of probability, confidence intervals, hypothesis tests for means and proportions, chi-square tests and ANOVA. Application problems come from the fields of business, economics, medicine, engineering, education, psychology, sociology and from culturally diverse situations. MATH 065 is the second semester of a sequence that offers an alternative path for non-STEM majors planning to transfer to a CSU or UC.

Lecture Hours: 5 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 064 with P grade

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

**MATH 070 Discrete Mathematics 4 Units**

Students prepare for further study in mathematics, computer science, or other sciences. Students will learn and apply concepts and ideas in logic, Boolean algebra, methods of proofs, induction, sequences, set theory, counting techniques, probability, recursion, relations, graphs, and trees. (C-ID MATH 160)

Lecture Hours: 4 Lab Hours: None Repeatable: No Grading: L

Prerequisite: (MATH 021 and MATH 022) or MATH 025, all with C or better, or equivalent

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: None District GE: B4

Credit by Exam: Yes

**MATH 071 Calculus I With Analytic Geometry 5 Units**

Students study functions and inverse functions, limits, the derivative as a limit, continuity, rules of differentiation, chain rule, implicit differentiation, applications of differentiation, linear approximations, related rates, optimization problems, antiderivatives, Riemann sums, the Fundamental Theorem of Calculus, and the substitution rule for integration. This is the first course in calculus for students majoring in mathematics, physical science, computer science, or engineering. (C-ID MATH 210)

Lecture Hours: 5 Lab Hours: None Repeatable: No Grading: L

Prerequisite: (MATH 021 and MATH 022) or MATH 025, all with C or better

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

Credit by Exam: Yes

**MATH 072 Calculus II with Analytic Geometry 5 Units**

Students study techniques of integration, applications of integration to areas, volumes, average values of functions, arc lengths, surfaces of revolution, problems in physics and engineering, use of parametric equations and polar equations to plot curves and compute derivatives, areas and arc length, a thorough study of infinite sequences, infinite and power series, and an introduction to differential equations. (C-ID MATH 220)

Lecture Hours: 5 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 071 with C or better.

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

Credit by Exam: Yes

**MATH 073 Multivariable Calculus 5 Units**

Students study the concepts of differential and integral calculus extended to multivariable functions. The course content includes vectors; dot products; cross products; surfaces in three dimensions; derivatives, integrals, arc length and curvature for vector-valued functions; partial derivatives; the chain rule; tangent planes; maximum and minimum values of functions of several variables; the Lagrange multiplier method; multiple integrals; and vector calculus. This is the third course in calculus for students majoring in mathematics, physical science, computer science, or engineering. (C-ID MATH 230)

Lecture Hours: 5 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 072 with C or better.

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

Credit by Exam: Yes

**MATH 078 Differential Equations 4 Units**

Students will study ordinary differential equations and their applications, including methods for solving first order equations, linear equations of arbitrary orders, and systems of linear differential equations. Students are introduced to Laplace transforms, series solutions, and some theoretical aspects of differential equations such as existence and uniqueness of solutions, the phase plane, and stability of equilibrium solutions for autonomous equations. (C-ID MATH 240)

Lecture Hours: 4 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 072 with C or better.

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

Credit by Exam: Yes

**MATH 079 Linear Algebra 3 Units**

Students study systems of linear equations, matrices, determinants, vector spaces and their properties, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product vector spaces, orthogonality, and applications. This course is designed for students majoring in mathematics, computer science, statistics, or engineering. (C-ID MATH 250)

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: L

Prerequisite: MATH 072 with C or better.

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU/UC Degree Applicable: AA/AS

CSU GE: B4 IGETC: 2A District GE: B4

Credit by Exam: Yes

**MATH 098 Directed Study in Mathematics 0.5-9 Units**

Individual or small groups of students who would benefit from Independent Study under the direction of faculty members in specific or related disciplines may develop individualized learning contracts designed to enhance their individual instructional programs. The students and the faculty member in consultation with the Division Dean will determine appropriate learning objectives and activities as well as the number of units to be earned. Instructions and the Learning Contract forms are available in the Division office. Repeatable to a maximum of 9 units across all disciplines.

Lecture Hours: None Lab Hours: 1.81 Repeatable: Yes Grading: O

Prerequisite: Completion of the following course(s) and project approval is required by sponsoring faculty, division dean, and Vice President of Academic Affairs, MATH 025 or MATH 063 with C or better grade

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: CSU Degree Applicable: AA/AS

CSU GE: None IGETC: None District GE: None

**MATH 111 Elementary Algebra 5 Units**

Students will study operations on real numbers and algebraic expressions, linear equations and inequalities, and algebraic methods for solving application problems. They will also study systems of linear equations, laws of exponents, operations on polynomials, solving quadratic equations by factoring, and operations on rational expressions and rational equations.

Lecture Hours: 5 Lab Hours: None Repeatable: No Grading: K

Prerequisite: MATH 311 with a P grade or placement based on math assessment

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: None Degree Applicable: NAA

CSU GE: None IGETC: None District GE: None

**MATH 111A Elementary Algebra Part A 3 Units**

Students will study topics including operations on real numbers and algebraic expressions, linear equations and inequalities, and algebraic methods for solving application problems. They will also study systems of linear equations. This is the first half of the Elementary Algebra course. The completion of MATH 111A and MATH 111B is equivalent to MATH 111.

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: K

Prerequisite: MATH 311 with a P grade

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: None Degree Applicable: NAA

CSU GE: None IGETC: None District GE: None

**MATH 111B Elementary Algebra Part B 3 Units**

Students will study systems of linear equations and their applications, laws of exponents, operations on polynomials, solving quadratic equations by factoring, and operations on rational expressions and rational equations. This is the second half of the Elementary Algebra course. The completion of MATH 111A and MATH 111B is equivalent to MATH 111.

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: K

Prerequisite: MATH 111A with a P grade

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: None Degree Applicable: NAA

CSU GE: None IGETC: None District GE: None

**MATH 311 Pre-Algebra 3 Units**

Students will study the fundamental operations in arithmetic and other math concepts including a basic introduction to algebra. This course is designed to give students the math foundation they need to be successful in an elementary algebra course. Topics include: integers, fractions, decimals, percents, order of operations, unit conversions, algebraic expressions, equations, basic geometric shapes and graphing, and simple applications.

Lecture Hours: 3 Lab Hours: None Repeatable: No Grading: K

Prerequisite: placement based on math assessment

Advisory Level: Read: 2 Write: 2 Math: None

Transfer Status: None Degree Applicable: NAA

CSU GE: None IGETC: None District GE: None

**MATH 511 Math for IT Careers 0 Units**

Students solve problems and do calculations encountered in the Information Technology field. Basic math concepts are applied to understanding units of Metric measurements related to computer memory and disk storage. Students will also learn to use calculator and spreadsheet applications available on computers to perform numeric calculations.

Lecture Hours: 1.5 Lab Hours: None Repeatable: Yes Grading: N

Advisory Level: Read: None Write: None Math: None

Transfer Status: None Degree Applicable: NC

CSU GE: None IGETC: None District GE: None

**MATH 521 Math for Medical Assisting 0 Units**

Students solve problems and do calculations encountered in the Medical Assisting field. Basic math concepts are applied to problems such as conversion within the Metric system and conversion between Decimal and Metric systems.

Lecture Hours: 1.5 Lab Hours: None Repeatable: Yes Grading: N

Advisory Level: Read: 3 Write: 3 Math: None

Transfer Status: None Degree Applicable: NC

CSU GE: None IGETC: None District GE: None