課程大綱及進度表

2.1 Sums, Products, and Compositions 2.2 Sequential Pointwise Limits and Simple Approximation 2.3 Littlewood’s Three Principles, Egoroff’s. Theorem, and Lusin’s Theorem

(2) Pappus’s Theorem on Volumes (3) Arc length and Surface Area. (4) Pappus’s Theorem on Surface Areas

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R.L.Burden ,Wadsworth Group Brooks/Cole 2、Elementary Numerical Analysis，Kendall Atkinson.. John Wiley

calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincare-Hopf theorem relating the Euler number of a manifold and the

Herstein, Abstract Algebra, 3 rd Edition..

 Critical Points; Extreme

教學目標 We expect to grab the basic idea and concept of calculus for one variable function, then to extend those to functions of several variables... 授課課程大綱明細 Ch1: