Catalogue 2012 - 2013

MAMT 564 Analysis

Credits

3 cr.

Prerequisite

MAMT 550 or permission of the department.

Course Description

After the discovery of calculus by Newton and Leibniz in the late 17th century, many advances in the solution of difficult mathematical and physical problems became possible. In the late 19th century and early 20th century, mathematicians attempted to put calculus and the study of real numbers on firmer logical ground. The course will follow that approach, emphasizing the important theorems and proofs that lead to a deeper understanding of the calculus. Topics will include sequences, limits, continuity, differentiation, integration, and the Fundamental Theorem of Calculus.