課程資訊

Calculus (general Mathematics) (a)(1)

102-1

MATH1201

201 101A1

13

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1021caqlculusB

1. Limits and continuity,
2. Differentiation,
3. Application of Differentiation,
4. Integration,
5. Application of integrals,
6. Transcendental functions,
7. Techniques of Integration,
8. Infinte Series
9. Function of Several Variables
10. Multiple Integration
11. Vector Analysis

Office Hours

Calculus: Early Transcendentals 7th edition,

(僅供參考)

 No. 項目 百分比 說明 1. 期末考 30% 2. 期中考 25% 3. 小考二 15% 4. 小考一 15% 5. 習題 15%

 課程進度
 週次 日期 單元主題 第1週 09/09,09/13 [1.5] Exponential Functions [1.6] Inverse Functions and Logarithms [2.1] The Tangent and Velocity Problems [2.2] The Limit of a Function [2.3] Calculating Limits Using the Limit Laws 第2週 09/16,09/20 [2.4] The Precise Definition of a Limit [2.5] Continuity; 09/20(五)中秋節調整放假 第3週 09/23,09/27 [2.6] Limits at Infinity; Horizontal Asymptotes [2.7] Derivatives and Rates of Change [2.8] The Derivative as a Function [3.1] Derivatives of Polynomials and Exponential Functions 第4週 09/30,10/04 [3.2] The Product and Quotient Rules [3.3] Derivatives of Trigonometric Functions [3.4] The Chain Rule [3.5] Implicit Differentiation 第5週 10/7,10/11 [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 [3.11] Hyperbolic Functions（※） 第6週 10/14,10/18 10/14(一)小考一(暫定); [4.1] Maximum and Minimum Values [4.2] The Mean Value Theorem 第7週 10/21,10/25 [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 [4.6] Graphing with Calculus and Calculators（※） [4.7] Optimization Problems 第8週 10/28,11/01 [4.8] Newton’s Method（※） [4.9] Antiderivatives [5.1] Areas and Distances [5.2] The Definite Integral [5.3] The Fundamental Theorem of Calculus 第9週 11/04,11/08 [5.4] Indefinite Integrals and the Net Change Theorem [5.5] The Substitution Rule 第10週 11/11,11/15 [6.1] Areas Between Curves [6.2] Volumes [6.3] Volumes by Cylindrical Shells [6.4] Work（※）; 11/15(五) 本校校慶 停課一天 第11週 11/18,11/22 [6.5] Average Value of a Function [7.1] Integration by Parts [7.2] Trigonometric Integrals [7.3] Trigonometric Substitution [7.4] Integration of Rational Functions by Partial Fractions 第12週 11/25,11/29 [7.5] Strategy for Integration [7.6] Integration Using Tables and Computer Algebra Systems [7.7] Approximate Integration [7.8] Improper Integrals [8.1] Arc Length 第13週 12/02,12/26 [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（※） 第14週 12/09,12/13 12/09(一)小考二(暫定); [9.1] Modeling with Differential Equations [9.2] Direction Fields and Euler’s Method [9.3] Separable Equations 第15週 12/16,12/20 [9.4] Models for Population Growth [9.5] Linear Equations [9.6] Predator-Prey Systems （※） 第16週 12/23,12/27 [10.1] Curves Defined by Parametric Equations [10.2] Calculus with Parametric Curves [10.3] Polar Coordinates 第17週 2013/12/30,2014/01/03 [10.4] Areas and Lengths in Polar Coordinates [10.6] Conic Sections in Polar Coordinates