Covers both applications of calculus and its theoretical background. Axiomatic treatment of the real numbers, limits, and the least upper bound property.
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Expanded Course Description
Text: "Calculus." Spivak.
The course, which is the first of three in the sequence, introduces students to differential calculus from the theoretical point of view, how calculus works as well as how to use it. Topics include axiomatic treatment of real numbers, limits, continuity, and derivatives. An ability to read, understand and write proofs will be stressed. A precise knowledge of concepts and definitions is essential.
Prereqs/Comments: