Contents

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.

4

- 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.

Evaluate elementary vector arithmetic expressions.

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

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

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

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.

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

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

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

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.

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

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.

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

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

- Other (please fill out box below)
- Exam

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.

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

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.

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

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.

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

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.

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

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.