MATH 517, FALL 2014
INSTRUCTOR: DAVID ARISTOFF
COURSE WEBSITE:
http://www.math.colostate.edu/~aristoff/teaching_fall_2014_517.html
CLASS TIMES AND LOCATIONS:
12:00 P.M. - 12:50 P.M., M,W,F, 8/25 - 12/14, ENGRG E 206
COURSE TEXTBOOK:
Walter Rudin, Principles of Mathematical Analysis, 2nd edition.
EXAMS: (tentative)
Midterm 1: Friday, October 3
Midterm 2: Monday, November 3
Midterm 3: Wednesday, December 3
Final exam: See http://www.registrar.colostate.edu/fall-final-exam-schedule
TOPICS COVERED:
Metric spaces, compactness, completeness, connectedness, sequences, series, power series, continuity and uniform continuity, intermediate value theorem, function sequences and series, pointwise
and uniform convergence, Weierstrass approximation theorem, equicontinuity, the Arzela-Ascoli
theorem, differentiation in one and several variables, multivariate power series, Taylor’s theorem,
contraction mapping principle, implicit and inverse function theorems.
HOMEWORK:
A homework set will be assigned most Fridays, and due the following Friday.
GRADING:
Course grades will be given based on homework, midterm and final exam scores. Homework is
worth 20%, midterms are worth 45%, and the final exam is worth 35% of your course grade. Your
total midterm score will be computed from your best two of three midterm scores. Also, your lowest
homework score will be dropped.
Make sure that you can be present for each of the midterms and final exams. The midterms
will be held at the usual class times and location listed above. The final exam time is set by the
university and can be found on the registrar’s website. There will be NO makeup exams, except in
exceptional circumstances and at the discretion of the instructor.
OTHER:
Homework assignments, class documents, office hour location and schedules, and other important
information can be found on the course website.
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