# Lower-Division

## MATH 2 College Algebra for Calculus

### Credits

#### Requirements

Prerequisite(s): mathematics placement (MP) score of 100 or higher.

#### Quarter offered

Fall, Summer

## MATH 2S College Algebra for Calculus

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): mathematics placement (MP) score of 100 or higher.

## MATH 2T Preparatory Math: Tutorial

### Credits

#### Instructor

Debra Lewis

#### Requirements

Prerequisite(s): mathematics placement (MP) score of 100 or higher.

#### Repeatable for credit

Yes

#### Quarter offered

Fall

## MATH 3 Precalculus

Inverse functions and graphs; exponential and logarithmic functions, their graphs, and use in mathematical models of the real world; rates of change; trigonometry, trigonometric functions, and their graphs; and geometric series. Students cannot receive credit for both MATH 3 and AM 3.

### Credits

#### Requirements

Prerequisite(s): MATH 2 or mathematics placement (MP) score of 200 or higher. Students may not enroll in or receive credit for MATH 3 after receiving credit with a 'C' or better in AM 11A, MATH 11A, MATH 19A, MATH 20A or equivalents.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 4 Mathematics of Choice and Argument

### Credits

#### Requirements

Prerequisite(s): MATH 2, or mathematics placement (MP) score of 200 or higher, or AP Calculus AB examination score of 3 or higher.

#### General Education Code

SR

## MATH 11A Calculus with Applications

### Credits

#### Requirements

Prerequisite(s): MATH 3 or AM 3; or mathematics placement (MP) score of 300 or higher; or AP Calculus AB exam score of 3 or higher.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 11B Calculus with Applications

### Credits

#### Requirements

Prerequisite(s): MATH 11A or MATH 19A or AM 15A or AP Calculus AB exam score of 4 or 5, or BC exam score of 3 or higher, or IB Mathematics Higher Level exam score of 5 or higher.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 19A Calculus for Science, Engineering, and Mathematics

### Credits

#### Requirements

Prerequisite(s): MATH 3; or mathematics placement (MP) score of 400 or higher; or AP Calculus AB exam score of 3 or higher.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 19B Calculus for Science, Engineering, and Mathematics

### Credits

#### Requirements

Prerequisite(s): MATH 19A or MATH 20A or AP Calculus AB exam score of 4 or 5, or BC exam score of 3 or higher, or IB Mathematics Higher Level exam score of 5 of higher.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 20A Honors Calculus

### Credits

#### Requirements

Prerequisite(s): mathematics placement (MP) score of 500 higher; or AP Calculus AB examination score of 4 or 5; or BC examination of 3 or higher; or IB Mathematics Higher Level examination score of 5 or higher.

#### General Education Code

MF

## MATH 20B Honors Calculus

### Credits

#### Requirements

Prerequisite(s): MATH 20A.

#### General Education Code

MF

## MATH 21 Linear Algebra

### Credits

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 22 Introduction to Calculus of Several Variables

Functions of several variables. Continuity and partial derivatives. The chain rule, gradient and directional derivative. Maxima and minima, including Lagrange multipliers. The double and triple integral and change of variables. Surface area and volumes. Applications from biology, chemistry, earth sciences, engineering, and physics. Students cannot receive credit for this course and MATH 23A.

### Credits

#### Requirements

Prerequisite(s): MATH 11B or MATH 19B or MATH 20B or AM 15B or AP calculus BC exam score of 4 or 5.

#### General Education Code

MF

#### Quarter offered

Winter, Summer

## MATH 23A Vector Calculus

Vectors in n-dimensional Euclidean space. The inner and cross products. The derivative of functions from n-dimensional to m-dimensional Euclidean space is studied as a linear transformation having matrix representation. Paths in 3-dimensions, arc length, vector differential calculus, Taylor's theorem in several variables, extrema of real-valued functions, constrained extrema and Lagrange multipliers, the implicit function theorem, some applications. Students cannot receive credit for this course and MATH 22 or AM 30.

### Credits

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 23B Vector Calculus

Double integral, changing the order of integration. Triple integrals, maps of the plane, change of variables theorem, improper double integrals. Path integrals, line integrals, parametrized surfaces, area of a surface, surface integrals. Green's theorem, Stokes' theorem, conservative fields, Gauss' theorem. Applications to physics and differential equations, differential forms.

### Credits

#### Requirements

Prerequisite(s): MATH 23A.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 24 Ordinary Differential Equations

### Credits

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 99 Tutorial

### Credits

#### Quarter offered

Fall, Winter, Spring

## MATH 99F Tutorial

### Credits

#### Repeatable for credit

Yes

#### Quarter offered

Fall, Winter, Spring