|
課程名稱 |
微積分甲上
Calculus (general Mathematics) (a)(1) |
|
開課學期 |
100-1 |
|
授課對象 |
化學工程學系 |
|
授課教師 |
劉瓊如 |
|
課號 |
MATH1201 |
|
課程識別碼 |
201 101A1 |
|
班次 |
10 |
|
學分 |
4 |
|
全/半年 |
全年 |
|
必/選修 |
必修 |
|
上課時間 |
星期三7,8,9(14:20~17:20)星期五1,2(8:10~10:00) |
|
上課地點 |
新303新303 |
|
備註 |
統一教學.大二以上限20人.三9為實習課.
限本系所學生(含輔系、雙修生)
總人數上限：100人 |
|
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1001cal10 |
|
課程簡介影片 |
|
|
核心能力關聯 |
核心能力與課程規劃關聯圖 |
|
課程大綱
|
|
為確保您我的權利,請尊重智慧財產權及不得非法影印
|
|
課程概述 |
Please see 統一教學網站. http://www.math.ntu.edu.tw/~mathcal/a/ |
|
課程目標 |
Please see 統一教學網站. http://www.math.ntu.edu.tw/~mathcal/a/ |
|
課程要求 |
|
|
預期每週課後學習時數 |
|
|
Office Hours |
|
|
指定閱讀 |
|
|
參考書目 |
Please see 統一教學網站. |
|
評量方式
(僅供參考) |
|
No. |
項目 |
百分比 |
說明 |
|
1. |
平常 |
20% |
|
2. |
期中 |
40% |
|
3. |
期末 |
40% |
|
|
|
週次 |
日期 |
單元主題 |
|
第1週 |
9/14,9/16 |
1.1 Examples of Velocity, Growth Rate, and Area
1.2 Limit of Functions
1.3 Limits at Infinity and Infinite Limits
1.4 Continuity |
|
第2週 |
9/21,9/23 |
1.5 The Formal Definition of Limit
2.1 Tangent Lines and Their Slopes
2.2 The Derivative
2.3 Differentiation Rules |
|
第3週 |
9/28,9/30 |
2.4 The Chain Rule
2.5 Derivatives of Trigonometric Functions
2.6 Higher-Order Derivatives
2.7 Using Differentials and Derivatives
2.8 The Mean-Value Theorem |
|
第4週 |
10/05,10/07 |
2.9 Implicit Differentiation
2.10 Antiderivatives and Initial-V alue Problems
2.11 Velocity and Acceleration |
|
第5週 |
10/12,10/14 |
3.1 Inverse Functions
3.2 Exponential and Logarithmic Functions
3.3 The Natural Logarithm and Exponential
3.4 Growth and Decay |
|
第6週 |
10/19,10/21 |
3.5 The Inverse Trigonometric Functions
3.6 Hyperbolic Functions
3.7 Second-Order Linear Des with Constant Coefficients
4.1 Related Rates |
|
第7週 |
10/26,10/28 |
4.2 Finding Root of Equations
4.3 Indeterminate Forms
4.4 Extreme V alues
4.5 Concavity and Inflections |
|
第8週 |
11/02,11/04 |
4.6 Sketching the Graph of a Function
4.8 Extreme-V alue Problems
4.9 Linear Approximations |
|
第9週 |
11/09,11/11 |
4.10 Taylor Polynomials |
|
第10週 |
11/16,11/18 |
5.1 Sums and Sigma Notation
5.2 Areas as Limits of Sums
5.3 Definite Inte ral
5.4 Properties of the Definite Integral |
|
第11週 |
11/23,11/25 |
5.5 The Fundamental Theorem of Calculus
5.6 The Method of Substitution
5.7 Areas of Plane Regions
6.1 Integration by Parts |
|
第12週 |
11/30,12/02 |
6.2 Integr ls of Rational Functions
6.3 Inverse Substitutions
6.4 Other Methods for Evaluating Integrals
6.5 Improper Integrals |
|
第13週 |
12/07,12/09 |
6.6 The Trapezoid and Midpoint Rules
6.7 Simpson's Rule |
|
第14週 |
12/14,12/16 |
7.1 Volumes by Slicing ─ Solids of Revolution
7.2 More Volumes by Slicing
7.3 Arc Length and Surface Area |
|
第15週 |
12/21,12/23 |
7.4 Mass, Moments, and Centre of Mass
7.9 First-Order Differential Equations |
|
第16週 |
12/28,12/30 |
8.2 Parametric Curves
8.3 Smooth Parametric Curves and Their Slopes
8.4 Arc Lengths and Areas for Parametric Curves |
|
第17週 |
1/04,1/06 |
8.5 Polar Coordinates and Polar Curves
8.6 Slopes, Areas, and Arc Lengths for Polar Curves |
|