Real Analysis (Fourth edition), by H. Royden and P. Fitzpatrick.
A Course in Abstract Analysis, by J. Conway.
All lectures and problem sessions will take place in Haldeman 028.
|Instructor||Pierre Clare, 316 Kemeny Hall|
|Lectures||MWF 8:45 - 9:50|
|Problem sessions||Th 9:00 - 9:50|
|Office hours||Tu, Th 2:00 - 3:30 and by appointment|
|Homework and exams|
|Metric spaces||problem set, elements of solution|
|Arzelà-Ascoli and the Baire Category Theorems||problem set, elements of solution|
|Linear operators on Banach spaces||problem set, elements of solution|
|Duality||problem set, elements of solution|
|Midterm (04/30 - 05/01)||in-class part, elements of solution|
take-home part, elements of solution
|Weak topologies||problem set, elements of solution|
|Banach and C*-algebras||problem set, elements of solution|
|Hilbert spaces||problem set, elements of solution|
|Fourier theory||problem 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.
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.