ADVANCED CALCULUS I

MA 450

Catalogue Description

In this course advanced topics of calculus are presented. Elementary calculus, real number system, properties of continuous functions, extensions of the mean-value theorem, Taylor series, and functions of several variables are rigorously considered. 3 credits. Prerequisite: MATH 291 Calculus IV or equivalent.

Goals

A. To present advanced topics of Calculus including Functions of Several Variables.

B. To demonstrate applications of Calculus to a variety of disciplines.

Procedures

A. Lecture/Discussion

B. Readings and assigned problems

Course Content

A. Introduction

1. Review of Algebra, Analytic Geometry and Calculus

B. Differential Calculus Functions of Several Variables

C. Vector Differential Calculus

Evaluation Methods

1. Adherence to the Attendance Policy

2. Preparation of Homework Assignments

3. Class Participation

4. Comprehensive Mid-term and Final Examination

Bibliography

Required Text: Buck, R. Creighton, Advanced Calculus, 3rd Ed., McGraw Hill Publishing, International Series in Pure and Applied Mathematics, 1968.

Kaplan, Wilfred, Advanced Calculus, Addison-Wesley, 1991.

Olmstead, John H., Advanced Calculus, Prentice Hall, 1961.

Spiegel, Murray R., Schaum's Outline Series in Math, McGraw Hill Publishing, 1968.

Taylor, Angus E. and Mann, W. Robert, Advanced Calculus, John Wiley & Sons, 1983.