Advanced Calculus: Course Outline (MAT 401)
Calculus is a part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis.
Course Outline
 Algebraic and order properties of R, the completeness property, cluster points, open and closed sets in R
 Sequences, the limit of a function, limit theorems
 Boundedness theorem, maximumminimum theorem and the intermediate value theorem; uniform continuity
 The mean value theorem
 Taylor’s theorem, Limit and continuity of functions of two and three variables
 Partial derivatives
 Differentiable functions, regions in the xy plane, iterated integrals, double integrals, change in the order of integration, transformation of double integrals
 Jordan curve, regular region, line integral
 Green’s theorem, independence of the path, surface integrals
 Gauss theorem.
Text Books
Reference Books


Principles of Mathematical Analysis byCall Number: 515 RUDISBN: 9781259064784Publication Date: 20130307
Other Books (Full Text)

by Schott, Rene
Staples, G. Stacey
Date Published: 2012