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.
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
- Formulate parametric equation of lines.
Learning Activity Artifact
- Other (please fill out box below)
- Final exam
- Formulate the point normal equation of a plane
Learning Activity Artifact
- Other (please fill out box below)
- Final exam
- 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.