■ 主要參考書籍/資料 (Textbooks and References)
(教科書遵守智慧財產權觀念不得非法影印) C++程式設計導論-第三版(修訂版)
作者： Y. Daniel Liang
譯者： 蔡明志
出版社：碁峯
■ 本課程是否有使用原文書 是
■ 教學進度(Course Schedule) - 18週次(Weeks)
週次 Week
日期 Date
內容主題 Course Topics and Contents指定閱讀資料 Course Reading Materials
1
112/02/13 ~ 112/02/18
What is Calculus? Limit, Limits at infinity and horizontal asymptotes, Infinite limits and vertical asymptotes, Continuity
2
112/02/19 ~ 112/02/25
Derivatives, Differentiation rules, Trigonometric functions, Derivatives of trigonometric functions(Mid-Autumn Festival)
3
112/02/26 ~ 112/03/04
The chain rule, Tangents to parametric curves, Implicit differentiation, Derivatives of inverse functions
4
112/03/05 ~ 112/03/11
Related rates, Linear approximation and differentials, Extreme values, The mean value theorem
5
112/03/12 ~ 112/03/18
Monotonic functions and the first derivative test, Concavity and the second derivative test(National Day)
7
112/03/26 ~ 112/04/01
Applied optimization problems, Sigma notation, Area, The definite integral
8
112/04/02 ~ 112/04/08
Properties of the definite integral, The fundamental theorem of calculus, Antiderivatives(University Holiday)
9
112/04/09 ~ 112/04/15
( Midterm )
10
112/04/16 ~ 112/04/22
Transcendental functions, Exponential and logarithmic functions, Inverse trigonometric functions
11
112/04/23 ~ 112/04/29
Techniques of integration, Substitution rule, Integration by parts, Integration of rational functions by partial fractions, Some trigonometric integrals, Rationalizing substitutions
12
112/04/30 ~ 112/05/06
Trigonometric substitutions, Completing squares, Improper integrals, Applications of definite integrals, Area between curves
13
112/05/07 ~ 112/05/13
Volume, Slicing, Cylindrical shells, Arc length, Areas of surfaces of revolution,
14
112/05/14 ~ 112/05/20
Polar coordinates, The graph of a polar equation, Tangents to polar curves(2nd exam)
15
112/05/21 ~ 112/05/27
Areas in polar coordinates, Arc lengths in polar coordinates, Average value of a function, Differential equatiions, Infinite sequences, Monotonic sequence theorem(Christmas)
17
112/06/04 ~ 112/06/10
Alternating series test, Absolute convergence and the ratio and root test
18
112/06/11 ~ 112/06/17
( Final )
■ 學習活動與作業說明 (Learning Activities and Assignments) 每週指定作業，並小考(Quiz)一次。
