The basic aim of MAT 200 is to introduce the student to mathematical reasoning and proofs. The course is intended as a bridge between the loose, heuristic approach often used to teach elementary calculus, and the precise, formal style needed for upper-division mathematics courses.
The course will begin with a discussion of logical language, operations, and rules, with an emphasis on their use in mathematical proofs. We will then focus on the key tools used in most modern mathematics: sets, and maps between them. Finally, we will hone our skills by using these basic tools to systematically examine certain aspects of classical Euclidean geometry, number theory, and elementary analysis.
An Introduction to Mathematical Reasoning:
Numbers, Sets, and Functions,
by Peter J. Eccles,
Cambridge University Press, 1997.
It is rumored that the campus bookstore has already sold out, but that Stony Books and other local bookstores may still have copies in stock. In any case, you should be able to quickly obtain a copy from Amazon, Barnes & Noble, or some other on-line book-seller. Most such merchants offer overnight shipping for an additional charge.
The prerequisites for this course are:
Two essentially independent lecture-sections of the course are being taught this semester. Please click the appropriate hyper-link below for further information concerning your own section:
|Lecture 1: |
Prof. Alexander Kirillov
Prof. Claude LeBrun
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