課程資訊

CALCULUS (GENERAL MATHEMATICS) (A)(1)

96-1

MATH1201

201 101A1

08

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/961Calculus

(1) Limits and Continuity。
(2) Derivatives with Applications。
(3) Integration with Applications。
(4) Transcendental Functions。
(5) Integration Techniques and Improper Integrals。
(6) First rder Linear Differential Equation。
(7) Area and Lengths in Polar Coordinates

Office Hours

Thomas' Calculus Early Transcendentals, 11th edition by Weir, Hass and Giordano

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 40% 2. 期末考 40% 3. 隨堂測驗 20%

 課程進度
 週次 日期 單元主題 第1週 9/17,9/19,9/21 1.5 Exponential Functions ; 1.6 Inverse Functions and Logarithms ; 2.1 Rates of Change and Limits ; 2.2 Calculating Limits Using the Limit Laws 第2週 9/24,9/26,9/28 2.3 The Precise Definition of a Limit ; 2.4 One-Sided Limits and Limits at Infinity 第3週 10/01,10/03,10/05 2.5 Infinite Limits and Vertical Asymptotes ; 2.6 Continuity ; 2.7 Tangents and Derivatives ; 3.1 The Derivative as a Function 第4週 10/08,10/10,10/12 3.2 Differentiation Rules for Polynomials, Exponentials, Products, and Quotients ; 3.3 The Derivative as a Rate of Change 第5週 10/15,10/17,10/19 3.4 Derivatives of Trigonometric Functions ; 3.5 The Chain Rule and Parametric Equations ; 3.6 Implicit Differentiation ; 3.7 Derivatives of Inverse Functions and Logarithms 第6週 10/22,10/24,10/26 3.8 Inverse Trigonometric Functions ; 3.9 Related Rates ; 3.10 Linearization and Differentials ; 4.1 Extreme Values of Functions ; 4.2 The Mean Value Theorem 第7週 10/29,10/31,11/02 4.3 Monotonic Functions and the First Derivative Test ; 4.4 Concavity and Curve Sketching ; 4.5 Applied Optimization Problems 第8週 11/05,11/07,11/09 4.6 Indeterminate Forms and L' Hopital's Rule ; 4.7 Newton's Method ; 4.8 Antiderivatives 第9週 11/12,11/14,11/16 5.1 Estimating with Finite Sums ; 5.2 Sigma Notation and Limits of Finite Sums 第10週 11/19,11/21,11/23 5.3 The Definite Integral ; 5.4 The Fundamental Theorem of Calculus ; 5.5 Indefinite Integrals and the Substitution Rule ; 5.6 Substitution and Area Between Curves ; 第11週 11/26,11/28,11/30 6.1 Volumes by Slicing and Rotation About an Axis ; 6.2 Volumes by Cylindrical Shells ; 6.3 Lengths of Plane Curves ; 6.4 Moments and Centers of Mass ; 6.5 Areas of Surfaces of Revolution and the Theorems of Pappus 第12週 12/03,12/05,12/07 7.1 The Logarithm Defined as an Integral ; 7.2 Exponential Growth and Decay ; 7.3 Relative Rates of Growth ; 7.4 Hyperbolic Functions 第13週 12/10,12/12,12/14 8.1 Basic Integration Formulas ; 8.2 Integration by Parts ; 8.3 Integration of Rational Functions by Partial Frations 第14週 12/17,12/19,12/21 8.4 Trigonometirc Integrals ; 8.5 Trigonometirc Substitutions ; 8.7 Numerical Integration 第15週 12/24,12/26,12/28 8.8 Improper Integrals ; 9.1 Slope Fields and Separable Differential Equations ; 9.2 First-Order Linear Differential Equations ; 9.5 Applications of First-Order Differential Equations 第16週 12/31,1/02,1/04 10.4 Conics and Parametric Equations；The Cycloid ; 10.5 Polar Coordinates 第17週 1/07,1/09,1/11 10.6 Graphing in Polar Coordinates ; 10.7 Areas and Lengths in Polar Coordinates