Math 113: Analysis

Spring 2015

Course material


Real Analysis (Fourth edition), by H. Royden and P. Fitzpatrick.
A Course in Abstract Analysis, by J. Conway.

General information

All lectures and problem sessions will take place in Haldeman 028.

InstructorPierre Clare, 316 Kemeny Hall
LecturesMWF 8:45 - 9:50
Problem sessionsTh 9:00 - 9:50
Office hoursTu, Th 2:00 - 3:30 and by appointment

Homework and exams

Metric spacesproblem set, elements of solution
Arzelà-Ascoli and the Baire Category Theoremsproblem set, elements of solution
Linear operators on Banach spacesproblem set, elements of solution
Dualityproblem set, elements of solution
Midterm (04/30 - 05/01)in-class part, elements of solution
take-home part, elements of solution
Weak topologiesproblem set, elements of solution
Banach and C*-algebrasproblem set, elements of solution
Hilbert spacesproblem set, elements of solution
Fourier theoryproblem set, elements of solution
Final Examination (05/30) problems, elements of solution

The Honor Principle

Collaboration on homework is permitted and encouraged. Any resource is allowed provided you reference it. But you must write up your solutions by yourself.

Special considerations

Students with disabilities who will be taking this course and may need disability-related classroom accommodations are encouraged to make an appointment to see their instructor as soon as possible.