2009 Fall MATH 139-01
Bulletin Course Description Algebraic and topological structure of the real number system; rigorous development of one-variable calculus including continuous, differentiable, and Riemann integrable functions and the Fundamental Theorem of Calculus; uniform convergence of a sequence of functions; contributions of Newton, Leibniz, Cauchy, Riemann, and Weierstrass. Not open to students who have had Mathematics 203. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title ADVANCED CALCULUS I Department MATH Course Number 2009 Fall 139 Section Number 01 Primary Instructor Pardon,William L Prerequisites Prerequisite: Mathematics 102,103 or 105.
Synopsis of course content
This course will cover many of the topics you studied in your calculus courses (e.g., differentiation, integration, convergence), but from a rigorous point of view. However, few new facts will be presented; the goal is instead to develop the theory underlying calculus.
Textbooks
Fundamental Ideas of Analysis by Michael Reed. We will be covering Chapters 1-6, but not every section in each of these chapters will be covered
Assignments
Weekly homework and proof-writing assignment.
Exams
There will be a midterm and a final exam.
Grade to be based on
Your final letter grade will be based on these components weighted as follows: long assignment(s) 10-15%, regular homework 20-25%, midterm exam 25%, final exam 40%.
