課程資訊

Calculus (general Mathematics) (a)(1)

106-1

MATH1201

201 101A1

04

4.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1061Calculus_A04

https://ceiba.ntu.edu.tw/course/b3128b/content/106微甲課程大綱.pdf

https://ceiba.ntu.edu.tw/course/258f78/content/微甲統一教學班習題題號.pdf

Office Hours

Richard Courant and Fritz John, Introduction to Calculus and Analysis (I) (II).

James Stewart, Calculus: Early Transcendentals, 8th edition.

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 35% 考試日期：11/4（六）09:00 ~ 11:30 考試範圍：1.4 ~ 4.9 2. 期末考 35% 考試日期：1/6（六）09:00 ~ 11:30 考試範圍：5.1 ~ 10.6 + 17.1 ~ 17.2 3. 其他 30% 包括指定的作業和小考 （本學期有6~7份作業和小考，約每兩星期一份；由於仍在同學加簽的期間，第一份作業和小考的成績將不會算至最終總成績內。另外每個單元均有WeBWork的網上練習；在開課第三週或以前截止遞交的練習均不會算到最終總成績內。小考、作業和WeBWork練習的評分比重為3:2:1。）(9/14 更新)

 課程進度
 週次 日期 單元主題 第1週 9/11,9/13,9/15 1.4 Exponential Functions; 1.5 Inverse Functions and Logarithms; 2.1 The Tangent and Velocity Problems; 2.2 The Limit of a Function 第2週 9/18,9/20,9/22 2.3 Calculating Limits Using the Limit Laws; 2.4 The Precise Definition of a Limit; 2.5 Continuity; 2.6 Limits at Infinity; Horizontal Asymptotes 第3週 9/25,9/27,9/29 2.7 Derivatives and Rates of Change; 2.8 The Derivative as a Function; 3.1 Derivatives of Polynomials and Exponential Functions; 3.2 The Product and Quotient Rules 第4週 10/02,10/04,10/06 3.3 Derivatives of Trigonometric Functions; 3.4 The Chain Rule 第5週 10/09,10/11,10/13 3.5 Implicit Differentiation; 3.6 Derivatives of Logarithmic Functions; 3.8 Exponential Growth and Decay (Optional); 3.9 Related Rates 第6週 10/16,10/18,10/20 3.10 Linear Approximations and Differentials; 3.11 Hyperbolic Functions (Optional); 4.1 Maximum and Minimum Values; 4.2 The Mean Value Theorem 第7週 10/23,10/25,10/27 4.3 How Derivatives Affect the Shape of a Graph; 4.4 Indeterminate Forms and l'Hospital's Rule; 4.5 Summary of Curve Sketching 第8週 10/30,11/01,11/03 4.7 Optimization Problems; 4.9 Antiderivatives 第9週 11/06,11/08,11/10 5.1 Areas and Distances; 5.2 The Definite Integral; 5.3 The Fundamental Theorem of Calculus; 5.4 Indefinite Integrals and the Net Change Theorem; 5.5 The Substitution Rule 第10週 11/13,11/15,11/17 6.1 Areas Between Curves; 6.2 Volume; 6.3 Volumes by Cylindrical Shells 第11週 11/20,11/22,11/24 6.5 Average Value of a Function; 7.1 Integration by Parts; 7.2 Trigonometric Integrals; 7.3 Trigonometric Substitution 第12週 11/27,11/29,12/01 7.4 Integration of Rational Functions by Partial Fractions; 7.5 Strategy for Integration 第13週 12/04,12/06,12/08 7.8 Improper Integrals; 8.1 Arc Length; 8.2 Area of a Surface of Revolution 第14週 12/11,12/13,12/15 10.1 Curves Defined by Parametric Equations; 10.2 Calculus with Parametric Curves 第15週 12/18,12/20,12/22 10.3 Polar Coordinates; 10.4 Areas and Lengths in Polar Coordinates; 9.1 Modeling with Differential Equations; 9.3 Separable Equations 第16週 12/25,12/27,12/29 9.4 Models for Population Growth; 9.5 Linear Equations; 17.1 Second-Order Linear Equations (Optional) 第17週 1/01,1/03,1/05 17.2 Nonhomogeneous Linear Equations (Optional)