Holiday
GEN III綜三 203 T1T2F1F2
高等微積分有點像是好的函數的理論,主要是介紹一些基本的拓樸學概念如開集、閉集、緊緻集、連通性及連續函數等的一些重要性質,以及微 積分中單變數的結果推廣到高維度空間,如多變數函數的微分及積分理論。 這門課是許多數學理論的重要基礎,在工程、計算、金融等方面皆有 廣泛運用。
Course keywords: 傅立葉級數(Fourier series),級數(Infinite Series),連續(Continuity),微分(Differentiation),積分(Integral),數列與級數(Sequences and Series)。 指定用書:The Elements of Real Analysis, Secondd Edition, by Robert G. Bartle 教學方式:板書和演習課 教學進度: V. Functions of One Variable: 29. The Riemann-Stieltjes, 30. Existence of the Integral, 31. Further Properties of the Integral, 32. Improper and Infinite Integrals, 33. Uniform convergence and Infinite Integrals VI. Infinite Series: 34. Convergence of Infinite Series, 35. Tests for Absolute Convergence, 36. Further results for Series, 37. Series of Functions, 38. Fourier series VII. 39. The derivative in R^p, 40. The Chain Rule and Mean value Theorem, 41. Mapping Theorems and Implict Functions ,42. Extremum Problems VIII 43. The Integral in R^p, 44. Content and the Integral, 45. Transformation of Sets and Integrals, 成績考核: 作業:20% 第一次期中考:20% 第二次期中考:20% 期末考:40% 期中考,期末考試以實體考試為原則。
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12:10n13:00 | |||||
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15:30716:20 | |||||
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18:30a19:20 | |||||
19:30b20:20 | |||||
20:30c21:20 |
Average Percentage 64.78
Std. Deviation 19.55
平均百分制 63.92
標準差 15.86
平均百分制 79.52
標準差 13.96
平均百分制 74.43
標準差 19.07
演習課時間為M19:00-21:00,地點為綜三203
【上學期原修高等微積分一MATH201002(邱鴻麟老師)同學選課優先,第3次選課起開放】
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