Mathematics 413, Fall 2003
Honors Introduction to Analysis I
Course description
The sequence MATH 413-414, designed for honors
students, provides an introduction to the theory
of functions of real variables, stressing a rigorous
logical development of the subject rather
than applications. Topics include: metric spaces, the real
number system, continuous and
differentiable functions, uniform convergence and
approximation theorems, Fourier series, Riemann and Lebesgue integrals,
calculus in several
variables, and differential forms.
Prerequisite: A high level of performance in MATH 221-222, 223-224 or
293-294.
Textbook: Strichartz, Robert, The Way of Analysis (revised
edition), Jones and Bartlett, 2000 (ISBN: 0-7637-1497-6).
Section 1 (TR 8:40-9:55)
Instructor:Yulij Ilyashenko
Office Hours: Monday 5:30-6:30 in Malott 511
TA:Aaron Solo
Office Hours: Friday 3:30-4:30 in Malott 218
email: alsolo@math.cornell.edu
Grades
60% homework
10% each for two prelims
20% final
The two prelims and the final will be take home. Grades will be determined
by Dec. 11.
Homework
homework 1
homework 1 solutions
homework 2
homework 2 solutions
homework 3
homework 3 solutions
homework 4
homework 4 solutions
homework 5
homework 5 solutions
homework 5V
homework 6
homework 6 solutions
homework 8
homework 9
homework 10
Exams
prelim 1
quiz