62-315: Introduction to Analysis II
Winter 2013
Instructor: Dr. Mehdi S. Monfared
Office: 9-115 Lambton Tower, email: monfared@uwindsor.ca
Office Hours: Mondays and Wednesdays: 2:00 - 4:00, or by appointment.
Classes: MW: 10:00 - 11:20, F: 10:30-11:20, Location: Erie Hall 2139
Prerequisite: 62-314 Introduction to Analysis I
Textbook: W. Rudin, Principles of Mathematical Analysis, 3rd ed, McGraw Hill.
Course Content: Riemann-Stieltjes integration, sequences and series of functions,
uniform convergence, Power series, functions of several variables, the inverse and
implicit function theorems.
Evaluations:
Midterm I (25%):, Wednesday February 13, in class time.
Midterm II (25%):, Wednesday March 27, in class time.
Final Exam (50%): Friday April 17, at 12:00 (location to be announced)
If a SINGLE midterm is missed for legitimate reasons, the weight of the midterm
will be added to the final.
GRADING SCHEME: A+=[93,100], A=[86,92.9], A-=[80,85.9], B+=[77,79.9],
B=[73,76.9], B-=[70,72.9], C+=[67,69.9], C=[63,66.9], C-=[60,62.9], D+=[57,59.9],
D=[53,56.9], D-=[50,52.9], F=[35,49.9], F-=[0,34.9].
Student’s Evaluation: Forms will be distributed in the last two weeks of classes.
Additional References:
T. Traynor, Introduction to Analysis, http://tt.lamf.uwindsor.ca/314folder
R. Courant and F. John, Introduction to Calculus and Analysis, 3 volumes.
J. C. Burkill, A First Course in Mathematical Analysis.
J. C. Burkill and H. Burkill, A Second Course in Mathematical Analysis.
T. Apostol, Mathematical Analysis, second edition.
T. W. Korner, A Companion to Analysis: A second first and first second course in
analysis.
E. T. Whittaker and G. N. Watson, A Course of Modern Analysis.
J. Dieudonne, Infinitesimal Calculus.
J. Dieudonne, Treatise in Analysis, 9 volumes.
L. Loomis and S. Sternberg, Advanced Calculus, http://www.math.harvard.edu/~shlomo/