2010 Spring 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 2010 Spring 139 Section Number 01 Primary Instructor Reed,Michael C Prerequisites Prerequisite: Mathematics 102,103 or 105.
Synopsis of course content
This course will develop a rigorous theory of elementary mathematical analysis
including differentiation, integration, and convergence of sequences and
series. Students will learn how to write mathematical proofs, how to construct
counterexamples, and how to think clearly and logically.
Textbooks
Fundamental Ideas of Analysis by Michael Reed. We will cover much of the
material in Chapters 1-6.
Assignments
Weekly homework assignments and weekly quizzes.
Exams
There will be two midterms and a final exam.
Grade to be based on
Your final letter grade will be based on these components weighted as follows:
quizzes 20%, each midterm 20%, final exam 40%.
