MATH-240 Calculus III

In this course, 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; a grade of C or higher is recommended

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 quadric surface.
   
6. 6. Solve classical engineering and physics problems using vector calculus, e.g. velocity and
   acceleration.
   
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, and moment of inertia problems.
   
9. 9. Understand and apply curls and gradients to solve problems in 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, as a means of discovery to reinforce
    concepts, AND as an efficient problem solving tool.
    

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 quadric surface.
   
6. 6. Solve classical engineering and physics problems using vector calculus, e.g. velocity and
   acceleration.
   
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, and moment of inertia problems.
   
9. 9. Understand and apply curls and gradients to solve problems in 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, as a means of discovery to reinforce
    concepts, AND as an efficient problem solving tool.