Syllabus for Math 5615 H --- Fall 2008


This is the first semester of a one year honors course in real analysis. The subject matter will be familiar. Essentially it is calculus, both single and multivariable, which means the theory of functions on the real line or in real n-dimensional space. But the emphasis will be on achieving a deep understanding of the theorems and the proofs which back them up. Along the way we will cover the basics of set theory, the topology of metric spaces, function spaces and Lebesgue measure. We will take the time to appreciate the many examples, counterexamples and paradoxes which illuminate the theory.


Real Mathematical Analysis, by Charles Pugh. I will try to cover Chapters 1-4 in the first semester.


Homework 30%
Midterm Exams 20% each
Final Exam 30%

For general policy statements about grades and academic honesty, go to: Grading Policy Statement, Student Conduct Statement .

Exam Dates:

 Midterm I Monday, October 6
 Midterm II Monday, November 17
 Final Exam Tuesday, December 16, 8am-10am


Homework will be due about every two or three weeks. Students are encouraged to work together on the assignments but everyone should write up their own version of the solutions. Not all of the assigned problems will be graded. To see the assignments as they become available, click on the link above.