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
- 1. Evaluate elementary vector arithmetic expressions.
- 2. Evaluate and manipulate the dot and cross products of vectors
- 3. Formulate parametric equation of lines.
- 4. Formulate the point normal equation of a plane
- 5. Completely describe the features of any quadratic surface.
- 6. Solve classical engineering and physics problems using vector calculus.
- 7. Understand and use the chain rule, for functions of two/three variables, to solve problems
- 8. Apply the concepts of multiple integration to solve complex volume, area, density,
centroid problems.
- 9. Understand and apply the gradient concept to solve problems relative to conservative force fields.
- 10. Solve simple problems using the concepts of Green/Strokes Theorem and the Divergence
Theorem.
- 11. Use the computer algebra system, MATLAB, to communicate, collect, display, and analyze information and efficiently solve problems.
Course Objectives
- 1. Evaluate elementary vector arithmetic expressions.
- 2. Evaluate and manipulate the dot and cross products of vectors
- 3. Formulate parametric equation of lines.
- 4. Formulate the point normal equation of a plane
- 5. Completely describe the features of any quadratic surface.
- 6. Solve classical engineering and physics problems using vector calculus.
- 7. Understand and use the chain rule, for functions of two/three variables, to solve problems
- 8. Apply the concepts of multiple integration to solve complex volume, area, density,
centroid problems.
- 9. Understand and apply the gradient concept to solve problems relative to conservative force fields.
- 10. Solve simple problems using the concepts of Green/Strokes Theorem and the Divergence
Theorem.
- 11. Use the computer algebra system, MATLAB, to communicate, collect, display, and analyze information and efficiently solve problems.