## Math-158 Calculus III

### Mathematics, Statistics & Computer Science Department

COURSE NO./TITLE: MATH-158 (355-158) CALCULUS III

CREDIT: 3

COURSE DESCRIPTION: Formal integration continued; parametric equations, polar representation, Cauchy's formula, Taylor's theorem, infinite series, vectors, partial differentiation, multiple integration.

Prerequisite: MATH-154 or MATH-157.

TEXTBOOK:

• Calculus – Early Transcendentals, 6e Ed., by Stewart (adopted F07)
• (Adopted F03: Multivariable Calculus, 5th Ed., by Stewart)
• (Adopted F00: MULTIVARIABLE CALCULUS, 4th Ed., by Stewart)
• (Used 8/98-5/00: CALCULUS FOR GRAPHICAL, NUMERICAL & SYMBOLIC POINTS OF VIEW, Vol. III, by Ostebee)
(Previously used: Calculus and Analytic Geometry by Thomas)

COURSE OBJECTIVES: The student shall be able to:

1. Comprehend the calculus and analytic geometry in its role in the development of mathematics.
2. Comprehend the logical development of calculus and analytic geometry.
3. Apply calculus and analytic geometry to the technical fields.
4. Analyze problems and use analysis to help solve these problems.
5. Have knowledge of integration and the relationship of integration to differentiations.
6. Have knowledge of analytic geometry and how it relates to calculus.

COURSE OUTLINE:

1. General Theory of Operators
2. Vectors
3. Differential Calculus of Functions of Several Variables
4. Vector Differential Calculus
5. Integral Calculus of Functions of Several Variables
6. Vector Integral Calculus

Revised 8/07