This is a course in real analysis, that is to say the study of the calculus of real valued functions of a real variable. Questions of convergence will be prominent as we study sequences and infinite series of constants and functions. Proofs of the classical theorems of analysis will be derived and studied. New concepts for students to learn will include the notion of Cauchy sequences and completeness, use of supremum and infimum concepts, uniform convergence and its consequences. The course is challenging, and fundamental for anyone planning to go to graduate school in mathematics or interested in studying applied areas which use mathematics.

The textbook for the course is Introduction to Analysis written by Arthur Mattuck and published by Prentice Hall in 1999. A thorough treatment of Chapter 22 on uniform convergence is one of our ultimate goals of this course, and whatever is needed from the previous chapters will be covered as time allows. Problem solving, proof discovery, and proof exposition will be emphasized.

There will be three one hour exams during the semester; an hour exam will be given near the end of each month. Homework will be assigned and graded on a regular basis. A comprehensive final exam will be given at the end of the course. Your grade will be based on the total points accumulated out of a possible 600 points. Each hour exam will be worth 100 points, all homework combined will be worth 100 points, and the final exam will be worth 200 points. This course will require your best effort applied consistently throughout the semester.

| Syllabus | Assignments | Materials | Resources | MTH 211 Home |

Created 01/02/2002. Last modified 01/02/2002. Email to ekh@wfu.edu