Math 444 Fall 2009 (Intro to Real Analysis)

http://www.math.uiuc.edu/~jlebl/math444-f09.html

Section C13/C14: MWF 10:00-10:50 pm in 243 Altgeld


Homework

Lecturer: Jiří Lebl
Web: http://www.math.uiuc.edu/~jlebl/
Office: 105 Altgeld
E-mail: jle...@math.uiuc.edu
Phone: 3-3143
Office hours: MW 11:00am-11:50am, and other times by appointment
Socks: odd (no extra credit for also wearing odd colored socks)

Grades/Curve: Grades will be based on the percentages below. Curve will be applied if needed.

Exam 1: Wednesday, September 23rd, 20% of your grade.

Exam 2: Wednesday, October 21st, 20% of your grade.

Exam 3: Wednesday, December 2nd, 20% of your grade.

Final Exam: 8:00-11:00 am, Monday, December 14, 30% of your grade. (Same room as class)

Homework: Assigned every week. Worth 10%, spot checked (spot checked means: some spot(s) of each homework checked, and all will be collected). Lowest homework grade dropped.

(The 4 credit version only:) The extra work required will be worth 10% of the class. So scale the above percentages by 0.9.

Test Policies: No books, notes, calculators, phones, or computers allowed on the exams or the final.

Text: R. G. Bartle & D. R. Sherbert Introduction to Real Analysis, 3rd edition, John Wiley & Sons 2000.

Notes: The notes for the class are available at http://www.jirka.org/ra/ (the old url will still work, but I won't update it past the end of this course). The notes are still subject to change. It will be best view them online or only print out the section you really need to because of this. As any lecture notes you recieve in college, these too contain plenty of typos, especially before I've lectured on that particular topic. Basicaly no guarantees.

Syllabus: (only approximate, sections may not be covered in the same order as in the book)

1. Preliminaries (about 3 lectures)
2. The Real Numbers (about 5 lectures)
3. Sequences (3.6 omitted) (about 9 lectures)
4. Limits (4.3 omitted) (about 3 lectures)
5. Continuous Functions (5.5, 5.6 omitted) (about 6 lectures)
6. Differentiation (6.3, 6.4 omitted) (about 3 lectures)
7. The Riemann Integral (7.4 omitted) (about 6 lectures)
8. Sequences of Functions (about 4 lectures)

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