Math 214: Foundations of Mathematics (Fall 2012)



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Instructor: Gexin Yu, Jones 127, phone: 221-2040, gyu@wm.edu

Meeting time and location: TR: 11-12:20pm, Jones Hall 302
Teaching Assistant: Allison Oldham, Allison Oldham

Web pages:

Office Hours: TR 10-11am or by appointment. Homework help session every Wednesday 2-3pm at Jones 131.

Text: Mathematical Proofs--A Transitioon to Advanced Mathematics by Gary Chartrand, Albert D. Polilmeni, and Ping Zhang. ISBN-13: 978-0-321-39053-0. This one on amazon.com

Course goal: The primary goal is to learn how to read and write rigorous and sophisticated mathematical statements and proofs. An integral part of this goal is mastering mathematical fundamentals such as logic, sets, functions, relations and numbers. Examples and problems are drawn in such a way to survey some different branches of "higher" mathematics.

Advice to students: Excellent advice on how to be successful in the course can be found in this document by Professor Doug West, a mathematics professor at the University of Illinois.

Tests: There will be two mid-semester tests: the tentative dates are Oct 11 (Thursday) and Nov 20 (Tuesday). Make-up tests are only given in extreme circumstances such as documented serious illness or personal circumstance. I must review such cases prior to the start of the test.

Final Exam: final exam will be offered on 2pm-5pm Wednesday Dec 12. Location TBD (usually in the lecture room).

Homework: There will be weekly homework assignments. We cannot emphasize the importance of homework enough. Although understanding material while you read the text or listen to lecture is certainly important, your most important studying will be in completing the homework assignments.

Perhaps the most fundamental part of this course is learning how to write and read precise mathematical ideas. Part of writing precise mathematical ideas is writing complete sentences with correct grammar. Homework written incoherently will not be judged complete! Incoherently includes, but is not limited to, using incomplete sentences, using incorrect grammar and overusing unnecessary mathematical notation. You are STRONGLY encouraged to discuss your homework with us prior to handing in homework. Start homework early and work steadily! Homework is usually due (firm) at Friday noon.

Help Session: A weekly homework help session will be offer every Wednesday at Jones Hall 131. Time: 2-3pm

Attendance: Regular attendance is critical for your success in this course. I expect your presence at every lecture.

Grading: Your final grade is calculated as follows:

Honor Code: Students will uphold William and Mary's stated honor code as it is written, any infractions will be referred to the Honor Council.