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
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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