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

4

Prerequisite

MATH-182 or equivalent with a grade of C or higher.

Hours Weekly

4 hours weekly

Course Objectives

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

Course Objectives

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