課程資訊

Calculus (general Mathematics) (a)(1)

107-1

MATH1201

201 101A1

10

4.0

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1071MATH1201_10

Students should be skilled in high school math.
Students should attend and participate actively in lectures as well as discussion sections.

Office Hours

*Textbook: James Stewart, Calculus Early Transcendentals, 8th edition.
*WeBWork(http://webwork.math.ntu.edu.tw/webwork2/1071MATH1201_10/)

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 35% 期中考 11/3(六) 09:00~11:30 考試範圍 1.4~4.9(英文命題) 2. 期末考 35% 期末考1/5(六) 09:00~11:30 考試範圍 5.1~10.4(英文命題) 3. 其他 30% WeBWork and Written assignments

 課程進度
 週次 日期 單元主題 第1週 9/10, 9/14 1.4 Exponential Functions 1.5 Inverse Functions and Logarithms 2.1 The Tangent and Velocity Problems 第2週 9/17, 9/21 2.2 The Limit of a Function 2.3 Calculating Limits Using the Limit Laws 2.4 The Precise Definition of a Limit 第3週 9/28 2.5 Continuity 2.6 Limits at Infinity; Horizontal Asymptotes 2.7 Derivatives and Rates of Change 2.8 The Derivative as a Function *9/24 (Mid-Autumn Festival; no lecture) 第4週 10/01,10/05 3.1 Derivatives of Polynomials and Exponential Functions 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule 第5週 10/08,10/12 3.5 Implicit Differentiation 3.6 Derivatives of Logarithmic Functions 3.8 Exponential Growth and Decay (✽) 第6週 10/15,10/19 3.9 Related Rates 3.10 Linear Approximations and Differentials 3.11 Hyperbolic Functions 4.1 Maximum and Minimum Values 第7週 10/22,10/26 4.2 The Mean Value Theorem 4.3 How Derivatives Affect the Shape of a Graph 4.4 Indeterminate Forms and l''Hospital''s Rule 第8週 10/29,11/02,11/03 4.5 Summary of Curve Sketching 4.7 Optimization Problems 4.9 Antiderivatives *11/03 Final exam 第9週 11/05,11/09 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 11/12,11/16 6.1 Areas Between Curves 6.2 Volume 6.3 Volumes by Cylindrical Shells 6.5 Average Value of a Function 第11週 11/19,11/23 7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 第12週 11/26,11/30 7.4 Integration of Rational Functions by Partial Fractions 7.5 Strategy for Integration 7.8 Improper Integrals 第13週 12/03,12/07 8.1 Arc Length 8.2 Area of a Surface of Revolution 第14週 12/10,12/14 9.1 Modeling with Differential Equations 9.3 Separable Equations 第15週 12/17,12/21,12/22 9.4 Models for Population Growth 9.5 Linear Equations *12/22 (Lecture on Saturday, to compensate the bridge holiday 12/31) 第16週 12/24,12/28 10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 第17週 1/04,1/05 10.4 Areas and Lengths in Polar Coordinates *12/31 (bridge between the weekend and 1/1; no lecture) *1/05 Final exam