Math 522, Fall 2019 - Analysis II

Instructor: Joris Roos, 513 VV.
Lectures: MWF 2:25-3:15pm, Ingraham 120.
Office hours: W 3:30pm-4:30pm, F 8:30am-9:30am
E-Mail: jroos at math...

Course content: 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
Lecture notes: We will follow the notes available here. (These will be updated as the semester progresses. Last update: Dec 14, 2019.)
If you missed class: The lecture notes contain markers to denote the beginning of each class.
Prerequisites: Math 521.
Number of credit hours: 3 (three 50-minute class periods every week)

Piazza: Piazza is an online Q&A platform for discussions among students and instructors, click here
Please refrain from discussions of grades or grading policies on Piazza. Talk to me directly if you have any questions on grading.

Canvas: You will be able to look up your homework and exam scores on Canvas.

Grading

Your grade will be determined based on your performance on
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: Wednesday, October 30, in class
Final: Friday, December 13, 10:05am-12:05pm, Room Ingraham 120

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

There will be ten (10) graded homework assignments. 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: there is an automatic grace period. Late homework may be turned in at the latest on the Wednesday following the respective due date (in class). No late homework will be accepted after that time!

Homework will be graded for completeness and one or two selected problems on each sheet will be graded for correctness.

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!).