輔仁大學進修部 97 學年度第二學期教師課程大綱及進度表
教師:蕭長青 授課班級:貿金一甲、乙班授課科目:微積分 必選修:必修 課程大綱:
本課程包括微積分之先導知識如函數,指數、對數、三 角函數等,極限及連續性等基本概念,微分及微分之 應用,定積分,不定積分,微分方程及應用及偏微分。
平時佔分 30%
評分方式:作業,平時 考
期中佔分
30% 評分方式:考試
期末佔分
40% 評分方式:考試
教科書:
書名:Calculus, A Complete Course, Second Edition 作者:FINNEY, DEMANA, WAITS and KENNEDY 出版:Addison-Wesley
第一週進度:
Applications of Derivatives Extreme Values of Functions 第二週進度:
Applications of Derivatives Mean Value Theorem
第三週進度:
Applications of Derivatives Connecting f’ and f” with the graph of f 第四週進度:
Applications of Derivatives Modeling and Optimization 第五週進度:
Applications of Derivatives
Linearization and Newton’s method
第六週進度:
The Definite Integral Estimating with Finite Sums 第七週進度:
The Definite Integral Definite Integrals 第八週進度:
The Definite Integral
Definite Integrals and Antiderivatives 第九週進度:期中考
第十週進度:
The Definite Integral
Fundamental Theorem of Calculus 第十一週進度:
The Definite Integral Trapezoidal Rule 第十二週進度:
Differential Equations and Mathematical Modeling Antiderivatives and Slope fields
第十三週進度:
Differential Equations and Mathematical Modeling Integration by Substitution
第十四週進度:
Differential Equations and Mathematical Modeling Integration by Parts
第十五週進度:
Differential Equations and Mathematical Modeling Exponential Growth and Decay
第十六週進度:
Multivariable Functions and Their Derivatives Partial Derivatives
第十七週進度:
複習
第十八週進度:期末考 備註: