課程資訊

Calculus (general Mathematics) (a)(1)

103-1

MATH1201

201 101A1

07

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1031MATH1201_07

Office Hours

Calculus Early Transcendentals 7th edition, James Stewart

(僅供參考)

 No. 項目 百分比 說明 1. Midterm(期中考) 40% 統一教學 2. Final(期末考) 40% 統一教學 3. Homework 10% 五12上課給題目、點人上台回答 4. pre-final(模擬考) 10%

 課程進度
 週次 日期 單元主題 第1週 9/17,9/19 1. Functions and Models
[1.5] Exponential Functions
[1.6] Inverse Functions and Logarithms
2. Limits and Derivatives
[2.1] The Tangent and Velocity Problems
[2.2] The Limit of a Function 第2週 9/24,9/26 2. Limits and Derivatives
[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 10/01,10/03 2. Limits and Derivatives
[2.7] Derivatives and Rates of Change
[2.8] The Derivative as a Function
3. Differentiation Rules
[3.1] Derivatives of Polynomials and Exponential Functions
[3.2] The Product and Quotient Rules 第4週 10/08,10/10 3. Differentiation Rules
[3.3] Derivatives of Trigonometric Functions
[3.4] The Chain Rule
10/10國慶日放假 第5週 10/15,10/17 3. Differentiation Rules
[3.5] Implicit Differentiation
[3.6] Derivatives of Logarithmic Functions
[3.7] Rates of Change in the Natural and Social Sciences（※）
[3.8] Exponential Growth and Decay
[3.9] Related Rates
[3.10] Linear Approximations and Differentials 第6週 10/22,10/24 3. Differentiation Rules
[3.11] Hyperbolic Functions
4. Applications of Differentiation
[4.1] Maximum and Minimum Values 第7週 10/29,10/31 4. Applications of Differentiation
[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
[4.5] Summary of Curve Sketching 第8週 11/05,11/07, 11/08 4. Applications of Differentiation
[4.6] Graphing with Calculus and Calculators（※）
[4.7] Optimization Problems
[4.8] Newton’s Method（※）
[4.9] Antiderivatives
11/8(六)期中考，時間：09:00-11:30， 考試範圍 1.5-4.9，英文命題 第9週 11/12,11/14 5. Integrals
[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 第10週 11/19,11/21 5. Integrals
[5.5] The Substitution Rule
6. Applications of Integration
[6.1] Areas Between Curves
[6.2] Volumes
[6.3] Volumes by Cylindrical Shells 第11週 11/26,11/28 6. Applications of Integration
[6.4] Work（※）
[6.5] Average Value of a Function
7. Techniques of Integration
[7.1] Integration by Parts
[7.2] Trigonometric Integrals 第12週 12/03,12/05 7. Techniques of Integration
[7.3] Trigonometric Substitution
[7.4] Integration of Rational Functions by Partial Fractions
[7.5] Strategy for Integration
[7.7] Approximate Integration 第13週 12/10,12/12 7. Techniques of Integration
[7.8] Improper Integrals
8. Further Applications of Integration
[8.1] Arc Length 第14週 12/17,12/19 8. Further Applications of Integration
[8.2] Area of a Surface of Revolution
[8.3] Applications to Physics and Engineering
[8.4] Applications to Economics and Biology（※）
[8.5] Probability（※）
9. Differential Equations
[9.1] Modeling with Differential Equations 第15週 12/24,12/26 9. Differential Equations
[9.3] Separable Equations
[9.4] Models for Population Growth
[9.5] Linear Equations
10. Parametric Equations and Polar Coordinates
[10.1] Curves Defined by Parametric Equations 第16週 12/31,1/02 10. Parametric Equations and Polar Coordinates
[10.2] Calculus with Parametric Curves
[10.3] Polar Coordinates 第17週 1/07,1/09 10. Parametric Equations and Polar Coordinates
[10.4] Areas and Lengths in Polar Coordinates
[10.6] Conic Sections in Polar Coordinates
1/10(六)期末考，時間：13:30-16:00，考試範圍：5.1-10.6，英文命題