# MATH 240 Calculus III

Students will develop skills necessary to conclude the calculus sequence. The course includes vector calculus in both two- and three-dimensional space along with the classical theorems of Green, Stokes, and Gauss. It will also include partial derivatives and multiple integrals along with a number of appropriate applications. A graphing calculator and MATLAB, a computer algebra system, will be integral parts of the course.

### Credits

### Prerequisite

MATH 182 or equivalent with a grade of C or higher### Hours Weekly

4 hours weekly### Course Objectives

- Evaluate elementary vector arithmetic expressions.
- Evaluate and manipulate the dot and cross products of vectors
- Formulate parametric equation of lines.
- Formulate the point normal equation of a plane
- Completely describe the features of any quadratic surface.
- Solve classical engineering and physics problems using vector calculus.
- Understand and use the chain rule, for functions of two/three variables, to solve problems
- Apply the concepts of multiple integration to solve complex volume, area, density,

centroid problems. - Understand and apply the gradient concept to solve problems relative to conservative force fields.
- Solve simple problems using the concepts of Green/Strokes Theorem and the Divergence

Theorem. - Use the computer algebra system, MATLAB, to communicate, collect, display, and analyze information and efficiently solve problems.

### Course Objectives

- Evaluate elementary vector arithmetic expressions.
#### Learning Activity Artifact

- Other (please fill out box below)
- Final exam

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Mathematics - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

- Evaluate and manipulate the dot and cross products of vectors
#### Learning Activity Artifact

- Other (please fill out box below)
- Final exam

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Mathematics - A.A. Degree (Transfer)

Demonstrate core knowledge in Calculus and Linear Algebra.

- Formulate parametric equation of lines.
#### Learning Activity Artifact

- Other (please fill out box below)
- Final exam

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Mathematics - A.A. Degree (Transfer)

Demonstrate core knowledge in Calculus and Linear Algebra.

- Formulate the point normal equation of a plane
#### Learning Activity Artifact

- Other (please fill out box below)
- Final exam

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Mathematics - A.A. Degree (Transfer)

Demonstrate core knowledge in Calculus and Linear Algebra.

- Completely describe the features of any quadratic surface.
#### Learning Activity Artifact

- Other (please fill out box below)
- Final exam

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Actuarial Science - A.A. Degree (Transfer)

3. Communicate mathematical reasoning symbolically, verbally, and in writing.

Degree: Mathematics - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Mathematics - A.A. Degree (Transfer)

3. Communicate mathematical reasoning symbolically, verbally, and in writing.

- Solve classical engineering and physics problems using vector calculus.
#### Learning Activity Artifact

- Other (please fill out box below)
- Final exam

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Actuarial Science - A.A. Degree (Transfer)

3. Communicate mathematical reasoning symbolically, verbally, and in writing.

Degree: Mathematics - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Mathematics - A.A. Degree (Transfer)

3. Communicate mathematical reasoning symbolically, verbally, and in writing.

- Understand and use the chain rule, for functions of two/three variables, to solve problems
#### Learning Activity Artifact

- Other (please fill out box below)
- Exam

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Mathematics - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

- Apply the concepts of multiple integration to solve complex volume, area, density,

centroid problems.#### Learning Activity Artifact

- Other (please fill out box below)
- Final exam

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Actuarial Science - A.A. Degree (Transfer)

3. Communicate mathematical reasoning symbolically, verbally, and in writing.

Degree: Mathematics - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Mathematics - A.A. Degree (Transfer)

3. Communicate mathematical reasoning symbolically, verbally, and in writing.

- Understand and apply the gradient concept to solve problems relative to conservative force fields.
#### Learning Activity Artifact

- Other (please fill out box below)
- Final exam

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Mathematics - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

- Solve simple problems using the concepts of Green/Strokes Theorem and the Divergence

Theorem.#### Learning Activity Artifact

- Other (please fill out box below)
- Final exam

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

Degree: Mathematics - A.A. Degree (Transfer)

1. Demonstrate core knowledge in Calculus and Linear Algebra.

- Use the computer algebra system, MATLAB, to communicate, collect, display, and analyze information and efficiently solve problems.
#### Learning Activity Artifact

- Other (please fill out box below)
- Final project

#### Program Goal(s)

Degree: Actuarial Science - A.A. Degree (Transfer)

2. Utilize technology to communicate, collect, display, and analyze information.

Degree: Mathematics - A.A. Degree (Transfer)

2. Utilize technology to communicate, collect, display, and analyze information.