MAT 2125  - Elementary Real Analysis
Summer 2011


Description: Review of the completeness properties of real numbers. Supremum and infimum, lim sup, lim inf. The topology of R¢n. Uniform continuity. Compactness, Heine-Borel. The Riemann integral, the fundamental theorem of calculus. Fubini's theorem. Sequences and series of functions, uniform convergence. Fourier series.

Prerequisite: MAT 1325 or MAT 2122 or (MAT1322 and MAT 2362).

Course: Monday 9:00-11:00 and Wednesday 9:00-11:00, SMD 222.

DGD : Monday 11 :00-12 :30, SMD 221.

Office hours :  Tuesday 12:00-14:00.

Book: E. Hairer and G. Wanner, "Analysis by Its History", Springer, ISBN 0-387-94551-2.

Evaluation: One partial exam worth 30% held on June 1st, 2011; three homeworks worth a total of 10%; one final exam worth 60%.

If your mark on the final exam is below 40%, then you get an automatic F for the term.

If you miss the mid-term exam, then its weight will be transferred to the final. There will not be any make up exam.

Homework: You can work in pairs for your homework.


Homeworks

a) Homework #1          Solutions

b) Homework #2          Solutions

c) Homework #3          Solutions



Paul-Eugène Parent
Dép. de mathématique et de statistique
bureau 305 G
585 King Edward
tél. 562-5800 poste 3532
courriel: pparent@uottawa.ca
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