MAT 125B: Real Analysis (Winter 2015)
(CRN 79916 (A1) and 93938 (A2))
     MWF 9:00-9:50AM, 212 Wellman

http://www.math.ucdavis.edu/~gravner/MAT125B/

INSTRUCTOR: Janko Gravner
TA: Vladimir Pchelin

PREREQUISITES: A good working knowledge of calculus (courses MAT 21ABC) and courses 25, 125A. You are responsible for satisfying the prerequisites!

TEXTBOOK: An Introduction to Analysis, by W. Wade, 4th Edition (Pearson, 2010). Chapter 5, and selections from Chapter 8-12 will be covered. Some of the material is covered in the 25, 125A textbook Understanding Analysis, by S. Abbott (Springer, 2001).

GRADE: Course grade will be based on the following:

I will follow this grading curve:

ADDITIONAL POLICIES:

Tuesday meeting is a discussion session, lead by the TA, and devoted to homework and further elaboration on lecture material. Attendance of discussion sessions is mandatory (in the sense that you are responsible for the material covered there; your presence will not be verified)

Please bear in mind that talking, any cellphone use, newspaper reading, etc. disrupt the lectures. Use of computers, cellphones, recorders, or any other electronic devices during lectures is not allowed.

If you have any problem at all that requires special accommodation, please let me know well in advance!

Use of books, notes, calculators, or anything else but pencil and paper, will not be allowed on any exam.

Homework will be assigned about once a week, and due the following week. Late homework will not be accepted under any circumstances. See the Homework assignments page for homework information.

Also, there will be no make-up exams. A missed exam counts as 0 points. If you miss the final you will automatically receive an F. The grade I (Incomplete) will not be given in any circumstances. Be aware that, due to a recent policy change, the grade NS (Enrolled No Work Submitted) no longer exists, so you will receive an F if you submit no work.

Solutions for the midterms will be posted at the materials page.

SOME USEFUL LINKS:

  • A free book Elementary Real Analysis by Thomson, Bruckner and Bruckner.
  • John Hunter (UC Davis Math) has written lecture notes for 25 and 125AB, which cover about half of this course.
  • Steve Shkoller (UC Davis Math) has written lecture notes for 125B.
  • Terrence Tao (UCLA Math) has a nice home page for a similar course at UCLA. Many links do not work, but Tao's Lecture notes cover a part of this course.
  • A very nice guide on how to write solutions to math problems, by Richard Rusczyk and Mathew Crawford at Art of Problem Solving.
  • TeX is the typesetting system used to write all mathematical texts nowadays. It is an excellent idea to learn the most commonly used variant of TeX called LaTeX as soon as possible, although it will not be required in this course. Here is some information to get you started: MikTeX (TeX system for Windows), WinEdt (TeX Editor for Windows, not free), LEd (another TeX Editor for Windows, free), TeXnicCenter (yet another TeX Editor for Windows, free), GSView and Ghostscript (needed to handle PostScript files). A very good introduction is at the Art of Problem Solving website, and you can check out a LaTeX textbook by David R. Wilkins.