Math 522, Spring 2018 - Analysis II

Instructor: Joris Roos, 513 VV.
Lectures: MWF 1:20-2:10pm, Humanities 1131.
Office hours: Mon 9-10am, Wed 9-10am, Fri 9-10am.
E-Mail: jroos at math...

TA: Jakwang Kim
TA office hours: Mon 2:30-3:30pm, Tue 10-11am, Thu 10-11am. Van Vleck 101, Desk #19
TA e-mail: kim836@wisc.edu

Course learning outcomes: Upon completion of this course the student is expected to know about power series, approximation of continuous functions, Stone-Weierstrass theorem, Fourier series, compactness in metric spaces, differentiation and linear maps in normed spaces, implicit function theorem, contraction mapping principle, ordinary differential equations, Baire category theorem and consequences.
Course content: Click here for a list of topics that we have covered in this course so far.
Textbook: Principles of Mathematical Analysis by Walter Rudin.
The course will often deviate from the textbook.
Prerequisites: Math 521.
Number of credit hours: 3 (three 50-minute class periods every week)

Grading

Your grade will be determined based on your performance on
I reserve the right to deviate from this grading scheme. Graduate students will be judged independently from undergraduate students.

Grading errors: If you believe that there has been a grading error, please come talk to me after class. Verify in a timely manner that your grades are being entered correctly into learn@uw.
Honors students: There will be extra honors problems included in the homework assignments. You are expected to at least make an attempt at solving each of them.

Exams

Midterms: Friday, March 9, in class and Monday, April 9, in class.
Final: Monday, May 7, 7:45am to 9:45am. Room: Van Vleck B239.

If you know of conflicts with any of the exam dates, notify me immediately. There will be no makeup examinations, except in justified cases.
Cheating will not be tolerated.

Homework

Homework will be assigned weekly and is to be turned in on the due date in class. There will be no makeup assignments. Late homework is not accepted.

You are encouraged to work in small groups, but each student must hand in the solution written neatly and in their own words. Please staple your solutions and write your name on the top of every page.

Cite all sources that you used (books, internet resources). Copying a solution from a peer, a book or the internet is cheating. Give appropriate credit to everyone that helped you with the solution (including your peers!). Citing and giving credit will not affect your grade negatively (but not doing so will if discovered!).

Due to limited resources, only a selection of the assigned problems will be graded. Solutions will be made available to the students in this class.