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課程名稱 |
微積分乙上
Calculus (general Mathematics) (b)(1) |
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開課學期 |
106-1 |
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授課對象 |
財務金融學系 |
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授課教師 |
劉瓊如 |
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課號 |
MATH1203 |
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課程識別碼 |
201 101B1 |
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班次 |
12 |
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學分 |
3.0 |
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全/半年 |
全年 |
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必/選修 |
必修 |
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上課時間 |
星期二1,2(8:10~10:00)星期四3,4(10:20~12:10) |
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上課地點 |
新303新303 |
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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 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1061MATH1203_12 |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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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.
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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. |
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課程要求 |
High School Mathematics |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
待補 |
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參考書目 |
James Stewart, Calculus Early Transcendentals, 8th edition. (Metric version) |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
平常 |
30% |
作業，小考 |
2. |
期中考 |
35% |
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3. |
期末考 |
35% |
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週次 |
日期 |
單元主題 |
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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 |
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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 |
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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 |
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第4週 |
10/03,10/05 |
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule |
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第5週 |
10/10,10/12 |
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
3.9 Related Rates |
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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 |
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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 |
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第8週 |
10/31,11/02 |
4.7 Optimization Problems
4.9 Antiderivatives |
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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
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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 |
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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 |
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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 |
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第13週 |
12/05,12/07 |
8.1
Arc Length
8.2
Area of a Surface of Revolution |
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第14週 |
12/12,12/14 |
8.1 Arc Length
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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 |
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第16週 |
12/26,12/28 |
10.1
Curves Defined by Parametric Equations
10.2
Calculus with Parametric Curves
10.3
Polar Coordinates
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第17週 |
1/02,1/04 |
10.4
Areas and Lengths in Polar Coordinates |
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