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131AW11 - Mathematics 131A/1 Welcome to Analysis This...

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Mathematics 131A/1 Welcome to Analysis! This course will be devoted to the theoretical basis for calculus – as stated in the title of our textbook, Elementary Analysis: The Theory of Calculus by Kenneth A Ross. The topics that I plan (hope) to cover are: The Real Numbers ( § 1 - § 5), Cardinal Numbers, Sequences ( § 7 - § 12), Series ( § 14 - § 15), Continuous Functions ( § 17 - § 20), Differentiation ( § 28 - § 29) and The Riemann Integral ( § 32 - § 34). You have seen almost all of those in the calculus sequence, but the emphasis in this course will be on logical proofs. This is a fundamental – many people would say the fundamental – part of mathematics that makes you “think like a mathematician.” Office Hours: (for J. Ralston) Monday 9-11, Tuesday 11-12, Wednesday 2-3 and Friday 2-3 in MS 5238. Grading: Your grade in this course will be based on the homework, the hour exam and quizzes, and the final exam with the weights, 25%, 30% and 45%, respectively.
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