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62-315: Introduction to Analysis II Winter 2013 Instructor: Dr. Mehdi S. Monfared Office: 9-115 Lambton Tower, email: [email protected] 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/