課程名稱 |
微積分乙上 Calculus (general Mathematics) (b)(1) |
開課學期 |
106-1 |
授課對象 |
地理環境資源學系 |
授課教師 |
劉瓊如 |
課號 |
MATH1203 |
課程識別碼 |
201 101B1 |
班次 |
12 |
學分 |
3.0 |
全/半年 |
全年 |
必/選修 |
必修 |
上課時間 |
星期二1,2(8:10~10:00)星期四3,4(10:20~12:10) |
上課地點 |
新303新303 |
備註 |
大二以上限20人. 限本系所學生(含輔系、雙修生) 總人數上限:140人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1061MATH1203_12 |
課程簡介影片 |
|
核心能力關聯 |
本課程尚未建立核心能力關連 |
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 |
Study the process of approximation and its limitation (errors), learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions.
|
課程目標 |
Study the process of approximation and its limitation (errors), learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions. |
課程要求 |
High School Mathematics |
預期每週課後學習時數 |
|
Office Hours |
|
指定閱讀 |
待補 |
參考書目 |
James Stewart, Calculus Early Transcendentals, 8th edition. (Metric version) |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
平常 |
30% |
作業,小考 |
2. |
期中考 |
35% |
|
3. |
期末考 |
35% |
|
|
週次 |
日期 |
單元主題 |
第1週 |
9/12,9/14 |
1.4 Exponential Functions
1.5 Inverse Functions and Logarithms
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function |
第2週 |
9/19,9/21 |
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 |
9/26,9/28 |
2.7 Derivatives and Rates of Change
2.8 The Derivative as a Function
3.1 Derivatives of Polynomials and Exponential Functions
3.2 The Product and Quotient Rules |
第4週 |
10/03,10/05 |
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule |
第5週 |
10/10,10/12 |
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
3.9 Related Rates |
第6週 |
10/17,10/19 |
3.10 Linear Approximations and Differentials
3.11 Hyperbolic Functions
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem |
第7週 |
10/24,10/26 |
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 |
10/31,11/02 |
4.7 Optimization Problems
4.9 Antiderivatives |
第9週 |
11/07,11/09 |
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
|
第10週 |
11/14,11/16 |
5.5 The Substitution Rule
6.1 Areas Between Curves
6.2 Volume
6.3 Volumes by Cylindrical Shells |
第11週 |
11/21,11/23 |
6.5 Average Value of a Function
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution |
第12週 |
11/28,11/30 |
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
7.8 Improper Integrals |
第13週 |
12/05,12/07 |
8.1
Arc Length
8.2
Area of a Surface of Revolution |
第14週 |
12/12,12/14 |
8.1 Arc Length
|
第15週 |
12/19,12/21 |
9.1
Modeling with Differential Equations
9.3
Separable Equations
第十五週 12/20, 12/22
9.4
Models for Population Growth
9.5
Linear Equations |
第16週 |
12/26,12/28 |
10.1
Curves Defined by Parametric Equations
10.2
Calculus with Parametric Curves
10.3
Polar Coordinates
|
第17週 |
1/02,1/04 |
10.4
Areas and Lengths in Polar Coordinates |
|