Math 142A
Advanced Calculus

Winter 2007

This course may be thought of as a deeper look at the theory of functions of a single real variable. Many of the topics will remind you of your Freshman/Sophomore calculus, but many new ideas will be introduced. There will also be a greater emphasis on proof and on gaining a better understanding of the basic principles. You will be expected to do a certain amount of mathematical writing, in your homework assignments and on your exam papers. The main topics to be discussed this term revolve around issues of convergence: limits, continuity, and differentiation of real functions. As a "warm-up" we'll look at the notion of cardinality for sets.

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January 12, 2007