- Instructor: Mikhail Ershov
- Office: Kerchof 302
- e-mail: ershov
*at*virginia*dot*edu - Office hours: 2 hrs 30 min TBA and by APPOINTMENT
- Course webpage:
*http://people.virginia.edu/~mve2x/4310_Fall2015*

**Main text**(required):*Principles of Mathematical Analysis*, Walter Rudin, third edition.**Additional text**(strongly recommended to buy):*Introductory Real Analysis*, A.N. Kolmogorov and S.V.Fomin, revised English edition.

- 1. You should have taken MATH 3310 (Basic Real Analysis) or equivalent. The most essential skill from 3310 that is crucial in 4310 is being able to work with the epsilon-delta definition of the limit and related notions like convergence and continuity (just formally understanding the definition of the limit is not enough).
- 2. As with most 4000 level math classes, you are expected to have substantial prior exposure to proofs. You should be completely comfortable with basic proof techniques and have experience in both reading (and understanding) proofs and writing your own proofs.

- homework: 30%
- midterms: 20% each
- final: 30%

- First midterm exam: Thu, Oct 1st
- Second midterm exam: Thu, Nov 5th
- Final exam: Tue, Dec 15th, 9am-12pm

- Make-ups or extensions (for take-home exams) will be given only under extreme circumstances (such as serious illness). Except for emergencies, you must obtain my permission for a make-up (resp. extension) before the exam (resp. due date).
- If you miss an in-class exam or fail to submit a take-home exam
by the due date without a compelling reason, you will
be assigned the score of
**0**on that exam. - University regulations specifically prohibit early make-ups.

- Homework will be assigned weekly and will usually be due on Thursday.
- Please STAPLE your homework.
- No late homework will be accepted. However, two lowest homework scores will be dropped.
- GRADING: it will not be possible to grade all homework problems. In each assignment 3-4 selected (but not announced in advance) problems will be graded for credit.

- On homework: you are welcome (and even encouraged)
to work on homework together, but you
*must*write up solutions independently, in your own words. In particular, you should not be consulting others during the process of writing down your solution. - On take-home exams: you MAY NOT discuss problems with other people or use any resources (including web) except for the class textbook and your class notes. You may ask me questions about the exam problems, but normally I will only provide very brief hints.

- Tuesday, September 8 -- Last day to ADD a course, elect the audit option, change the grading option (grade or CR/NC), or establish an independent study
- Wednesday, September 9 -- Last day to DROP a course (deletion from the transcript)
- Tuesday, October 20 -- Last day to withdraw from a course

All students with special needs requiring accommodations should present the appropriate paperwork from the Student Disability Access Center (SDAC). It is the student's responsibility to present this paperwork in a timely fashion and follow up with the instructor about the accommodations being offered. Accommodations for test-taking (e.g., extended time) should be arranged at least 5 business days before an exam.