Math 217b

Instructor: Rasul Shafikov, MC 112. E-mail: (emails will be answered within 48 hours).

Office Hours: Tu 3 - 4 PM, Th 2 - 3 PM

Help Centre: Mondays 3:30 - 4:30 PM in MC 106. Help Centre is held by Leland McInnes (lmcinnes@uwo.ca).

Textbook: Gerald G. Bilodeau and Paul R. Thie, An Introduction to Analysis, published by McGraw-Hill (This is the same book that was used in Mathematics 207a).

Course Description: Course meets MWF 9:30 - 10:30 AM in UC 289.

A rigorous introduction to analysis on the real line, primarily for honors students. Continuation of Mathematics 207a. The Mean Value Theorem. The Riemann integral. Series of numbers, convergence theory. Power series and Taylor series. Sequences and series of functions. Uniform convergence. The art of writing proofs will be practised throughout. We will cover the second half of the textbook, starting where Mathematics 207a left off, that is, with Section 4.3. There will be additional material presented in the lectures.

Prerequisites: Mathematics 207a/b with a minimum mark of 60 %, or permission of the Department. The following statement is required by Senate regulations:

"Unless you have either the requisites for this course or written special permission form your Dean to enroll in it, you will be removed from this course and it will be deleted from your record. This decision may not be appealed. You will receive no adjustment to your fees in the event that you are dropped from a course for failing to have the necessary prerequisites.''

Homework: Homework will be assigned biweekly.

Exams: There will be one in-class midterm (the exact date will be announced later) and a final exam (will be scheduled by the Registrar). The midterm will cover the appropriate amount of material and the final exam is comprehensive.

Senate Regulations on Scholastic Offences (Plagiarism and Cheating) Please note the following points, which are required to be stated in this outline by Senate regulations.

• ``Plagiarism: Students must write their essays and assignments in their own words. Whenever students take an idea, or a passage from another author, they must acknowledge their debt both by using quotation marks where appropriate and by proper referencing such as footnotes or citations. Plagiarism is a major academic offence (see Scholastic Offence Policy in the Western Academic Calendar)''
• ``Plagiarism Checking: The University of Western Ontario uses software for plagiarism checking. Students may be required to submit their written work in electronic form for plagiarism checking.''
• In addition, if any computer-marked multiple-choice tests and/or exams are given, software to check for unusual coincidences in answer patterns that may indicate cheating may be used.

Evaluation: Biweekly homework = 30%, Midterm = 25%, Final examination = 45%.