# Mathematics Courses

## MATH 1 - Calculus I

**5 units**

An introduction to single-variable differential and integral calculus including: functions,
limits and continuity; techniques and applications of differentiation and integration;
the Fundamental Theorem of Calculus; areas and volumes of solids of revolution. 90
hours lecture. AA/AS GE: IB, MP. Transfer: CSU, UC*; CSUGE: B4; IGETC: 2A; C-ID# MATH
211, MATH 900 S (if taken with MATH 2). ** MATH 1, 33, and 34 combined: maximum UC credit, one course.*

**Prerequisite: **MATH 30 with a minimum grade of C. MATH 39 with a minimum grade of C.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 2 - Calculus II

**5 units**

Continuation of single-variable differential and integral calculus. Topics covered include: inverse and hyperbolic functions; techniques of integration; polar and parametric equations; infinite sequences, series, power series and Taylor series; applications of integration. Primarily for mathematics, physical science and engineering majors. 90 hours lecture. AA/AS GE: IB, MP. Transfer: CSU, UC; CSUGE: B4; IGETC: 2A; C-ID# MATH 221, MATH 900 S (if taken with MATH 1).

**Prerequisite: **MATH 1 with a minimum grade of C.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 3 - Multivariable Calculus

**5 units**

Vector valued functions, functions of several variables, partial differentiation, multiple integration, change of variables theorem, scalar and vector fields, gradient, divergence, curl, line integral, surface integral, Green’s, Stokes’, and divergence theorem, applications. 90 hours lecture. AA/AS GE: IB, MP. Transfer: CSU, UC; CSUGE: B4; IGETC: 2A; C-ID# MATH 230.

**Prerequisite: **MATH 2 with a minimum grade of C.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 5 - Ordinary Differential Equations

**3.5 units**

Introduction to differential equations including the conditions under which a unique solution exists, techniques for obtaining solutions, and applications. Techniques include generation of series solutions, use of Laplace Transforms, and the use of eigenvalues to solve linear systems. Generation of exact solutions, approximate solutions, and graphs of solutions using MATLAB. 54 hours lecture, 27 hours laboratory. AA/AS GE: IB, MP. Transfer: CSU, UC; CSUGE: B4; IGETC: 2A; C-ID# MATH 240.

**Prerequisite: **MATH 3 with a minimum grade of C.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 7 - Elementary Linear Algebra

**3.5 units**

An introduction to linear algebra including: techniques and theory needed to solve and classify systems of linear equations using Gaussian elimination and matrix algebra; properties of vectors in n-dimensions; generalized vector spaces, inner product spaces, basis, norms, orthogonality; eigenvalues, eigenspaces; and linear transformations. Selected applications of linear algebra, including the use of MATLAB™ to solve problems involving advanced numerical computation. 54 hours lecture, 27 hours laboratory. AA/AS GE: IB, MP. Transfer: CSU, UC; CSUGE: B4; IGETC: 2A; C-ID# MATH 250.

**Prerequisite: **MATH 2 with a minimum grade of C.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 10 - Discrete Mathematical Structures

**4 units**

Designed for majors in mathematics and computer science, this course provides an introduction to discrete mathematical structures used in Computer Science and their applications. Course content includes: Propositional and predicate logic; rules of inference; quantifiers; elements of integer number theory; set theory; methods of proof; induction; combinatorics and discrete probability; functions and relations; recursive definitions and recurrence relations; elements of graph theory and trees. Applications include: analysis of algorithms, Boolean algebras and digital logic circuits. Students who have completed, or are enrolled in, CS 17 may not receive credit. 72 hours lecture, 18 hours laboratory. AA/AS GE: IB, MP. Transfer: CSU, UC; CSUGE: B4; IGETC: 2A; C-ID# COMP 152.

**Prerequisite: **MATH 1 with a minimum grade of C (May be taken concurrently). CS 1 with a minimum
grade of C (May be taken concurrently).

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 27 - Number Systems for Educators

**3 units**

This course focuses 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. 54 hours lecture. AA/AS GE: IB, MP. Transfer: CSU, UC.

**Prerequisite: **Intermediate Algebra or a higher level of mathematics.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 29 - Independent Study, Mathematics

**0.5 - 2 units**

Supervised study in the area of Mathematics. Any student interested in registering for an Independent Studies course should contact a full/part-time instructor or dean in the appropriate area. 27-108 hours laboratory. Transfer: CSU.

- Credit - Degree Applicable
- Grading Option: Letter or Pass/No Pass

## MATH 30 - College Algebra for STEM

**4 units**

College algebra core concepts relating to Science, Technology, Engineering and Mathematics (STEM) and Business fields are explored, such as: polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; and analytic geometry. Multiple representations, applications and modeling with functions are emphasized throughout. 72 hours lecture, 18 hours laboratory. AA/AS GE: IB, MP. Transfer: CSU, UC; CSUGE: B4, IGETC: 2A; C-ID# MATH 151.

**Prerequisite: **Intermediate Algebra or a higher level of mathematics.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 33 - Finite Mathematics

**4 units**

Linear functions, systems of linear equations and inequalities, exponential and logarithmic
functions and applications, matrices, linear programming, mathematics of finance,
sets and Venn diagrams, combinatorial techniques and an introduction to probability.
Applications in business, economics and social sciences. 72 hours lecture. AA/AS GE:
IB, MP. Transfer: CSU, UC*; CSUGE: B4; IGETC: 2A; C-ID# MATH 130. ** MATH 1, 33, and 34 combined: maximum UC credit, one course.*

**Prerequisite: **Intermediate Algebra or a higher level of mathematics.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 34 - Business Calculus

**4 units**

Functions and their graphs; limits of functions; differential and integral calculus
of algebraic, exponential and logarithmic functions. Applications in business, economics,
and social sciences. Functions of several variables and partial derivatives. 72 hours
lecture, 18 hours laboratory. AA/AS GE: IB, MP. Transfer: CSU, UC*; CSUGE: B4; IGETC:
2A; C-ID# MATH 140. ** MATH 1, 33, and 34 combined: maximum UC credit, one course.*

**Prerequisite: **Intermediate Algebra or a higher level of mathematics.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 39 - Trigonometry

**4 units**

Trigonometry includes definitions of the trigonometric functions and their inverses, graphs of the trigonometric functions and their inverses, trigonometric equations, trigonometric expressions and identities, including proofs, an introduction to vectors, polar coordinates and complex numbers. Applications include solving right triangles and solving triangles using the law of sines and the law of cosines. 72 hours lecture, 18 hours laboratory. AA/AS GE: IB, MP. Transfer: CSU; CSUGE: B4; C-ID# MATH 851.

**Prerequisite: **Intermediate Algebra or a higher level of mathematics.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 40 - Statistics and Probability

**4 units**

Descriptive statistics, including measures of central tendency, dispersion and position; elements of probability; confidence intervals; hypothesis tests; two-population comparisons; correlation and regression; goodness of fit; analysis of variance; applications in various fields. Introduction to the use of a computer software package to complete both descriptive and inferential statistics problems. 72 hours lecture, 18 hours laboratory. AA/AS GE: IB, MP. Transfer: CSU, UC; CSUGE: B4; IGETC: 2A; C-ID# MATH 110.

**Prerequisite: **Intermediate Algebra or a higher level of mathematics.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 47 - Mathematics for Liberal Arts

**3 units**

An introduction to a variety of mathematical concepts for students interested in liberal arts. Intended to cultivate an appreciation of the significance of mathematics in daily life and help develop students’ mathematical reasoning. Topics include personal finance, logic, and exponential growth. 54 hours lecture, 18 hours laboratory. AA/AS GE: IB, MP. Transfer: CSU, UC; CSUGE: B4; IGETC: 2A.

**Prerequisite: **Intermediate Algebra or a higher level of mathematics.

- Credit - Degree Applicable
- Grading Option: Letter Grade

## MATH 55 - Intermediate Algebra

**5 units**

Intermediate Algebra concepts will be explored in this course including: an introduction to functions; linear and absolute value functions; absolute value equations and inequalities; compound linear inequalities; rational expressions, functions and equations; radical expressions, functions and equations; rational exponents; complex numbers; quadratic functions and equations; inverse of a function; exponential and logarithmic functions; properties of logarithms; exponential and logarithmic equations; conic sections; and systems of equations and inequalities. Multiple representations, applications and modeling with functions are emphasized throughout. 90 hours lecture. AA/AS GE: IB, MP.

**Prerequisite: **Elementary Algebra or a higher level of mathematics.

- Credit - Degree Applicable
- Grading Option: Letter or Pass/No Pass

## MATH 55C - Concurrent Support for Intermediate Algebra

**1 unit**

This course is concurrent support for Intermediate Algebra. The course is designed to provide additional, formal support to students who are currently taking an Intermediate Algebra. It includes a review of arithmetic, algebraic and geometric concepts that are relevant to their Intermediate Algebra course, study strategies that promote understanding and improve performance, and more in-depth investigation of core concepts that are difficult for students to master. Embedded are learning skills such as growth mindset, brain research, time management, study skills, test taking, math anxiety and more. 54 hours laboratory.

**Corequisite: **MATH 55 or NMAT 255 or MATH 50 or NMAT 250.

- Credit - Not Degree Applicable
- Grading Option: Pass/No Pass

## MATH 66 - Math Jam for Calculus I

**0.5 - 1 units**

Math Jam for Calculus I is a credit course for students preparing for Calculus I. Embedded are essential study and life skills to develop each student holistically, including career development. Students will be learning basic skills and transfer-level material with the goal of preparing them to be successful in their upcoming class. It is strongly recommended that students taking this course are enrolled in a calculus course. 27 hours laboratory.

- Credit - Degree Applicable
- Grading Option: Pass/No Pass

## MATH 66C - Concurrent Support for Calculus I

**1 unit**

This course offers structured support to students who are concurrently enrolled in Calculus I. The support course includes material to prepare students for the rigor of the calculus course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic, geometric and trigonometric concepts, and more in-depth investigation of core concepts in their concurrent math course. 54 hours laboratory.

**Corequisite: **MATH 1.

- Credit - Degree Applicable
- Grading Option: Pass/No Pass

## MATH 67 - Math Jam for Calculus II

**0.5 units**

Math Jam for Calculus II is a credit course for students preparing for Calculus II. Embedded are essential study and life skills to develop each student holistically, including career development. Students will be learning basic skills and transfer-level material with the goal of preparing them to be successful in their upcoming class. It is strongly recommended that students taking this course are enrolled in a calculus course. 27 hours laboratory.

- Credit - Degree Applicable
- Grading Option: Pass/No Pass

## MATH 67C - Concurrent Support for Calculus II

**1 unit**

This course offers structured support to students who are concurrently enrolled in Calculus II. The support course includes material to prepare students for the rigor of the calculus course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic, geometric and trigonometric concepts, and more in-depth investigation of core concepts in their concurrent math course. 54 hours laboratory.

**Corequisite: **MATH 2.

- Credit - Degree Applicable
- Grading Option: Pass/No Pass

## MATH 68 - Math Jam for Calculus III

**0.5 units**

Math Jam for Calculus III is a credit course for students preparing for Calculus III. Embedded are essential study and life skills to develop each student holistically, including career development. Students will be learning basic skills and transfer-level material with the goal of preparing them to be successful in their upcoming class. It is strongly recommended that students taking this course are enrolled in a calculus course. 27 hours laboratory.

- Credit - Degree Applicable
- Grading Option: Pass/No Pass

## MATH 68C - Concurrent Support for Calculus III

**1 unit**

This course offers structured support to students who are concurrently enrolled in Calculus III. The support course includes material to prepare students for the rigor of the calculus course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic, geometric and trigonometric concepts, and more in-depth investigation of core concepts in their concurrent math course. 54 hours laboratory.

**Corequisite: **MATH 3.

- Credit - Degree Applicable
- Grading Option: Pass/No Pass

## MATH 100C - Concurrent Support for SLAM Mathematics

**1 unit**

Concurrent Support for SLAM Math is for students interested in disciplines that require Statistics and Liberal Arts Mathematics (SLAM) courses. This course offers structured support to students who are concurrently enrolled in a first-level transfer course, such as Statistics and Mathematics for Liberal Arts, and Finite Mathematics. The support course includes material to prepare students for the rigor of the transfer math course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic and geometric concepts, and more in-depth investigation of core concepts in their concurrent math course. 54 hours laboratory.

**Corequisite: **MATH 33 or MATH 40 or MATH 47.

- Credit - Not Degree Applicable
- Grading Option: Pass/No Pass

## MATH 101C - Concurrent Support for BSTEM Mathematics

**1 unit**

Concurrent Support for BSTEM Mathematics is for students interested in Business, Science, Technology, Engineering and Mathematical fields. This course offers structured support to students who are concurrently enrolled in a first-level transfer course, such as College Algebra, Trigonometry, and Business Calculus. The support course includes material to prepare students for the rigor of the transfer math course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic and geometric concepts, and more in-depth investigation of core concepts in their concurrent math course. 54 hours laboratory.

**Corequisite: **MATH 30 or MATH 34 or MATH 39.

- Credit - Not Degree Applicable
- Grading Option: Pass/No Pass