MAT 235 - Calculus III

Objectives

1. Review the methods of integration in order to strengthen this knowledge so that it can be easily applied to multiple variables.
2. Define sequences and series (including power and Taylor series) and to deduce convergence or divergence by various methods.
3. Identify and obtain equations of the conic section including parabolas, ellipses, and hyperbolas.
4. Express equations in parametric forms and find derivatives of equations using a third parameter.
5. Apply the concepts of calculus (including tangent lines, curve sketching, areas and arc lengths) to polar coordinates.
6. Examine the properties of vectors and see how they work in the geometry of space. (optional)
7. Sketch and apply differential properties to functions of several variables.
8. Apply the concepts of integral calculus to multiple variables up through triple integrals.
9. Define the line integral and use various theorems (Green's, Stoke's and Divergence) involving line integrals to related problems. (optional)

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Syllabus