微積分甲(一)
Calculus A (I)
| 節 | 週二 | 週五 |
|---|---|---|
3 10:10–11:00 | 微積分甲(一) SC106（光復） 2 節連堂 | |
4 11:10–12:00 | ||
5 13:20–14:10 | 微積分甲(一) SC106（光復） 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
Through this course, we will study basics of Calculus: limit, derivative and integral. First we will focus on computational skills and then we consider theoretical part.
High school level mathematics
無備註
TBA
Quiz: 10%, Report: 20% Midterm Exam 1: 20%, Midterm Exam 2: 20%, Final Exam (微積分會考): 30%
Functions and Models
◆1.3 New Functions from Old Functions 1.4 Exponential Functions 1.5 Inverse Functions and Logarithms
- 講授：
- 3
備註：◆ 為選教內容,不列入微積分會考考試範圍。
Limits and Derivatives
2.2 The Limit of a Function 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 2.7 Derivatives and Rates of Change 2.8 The Derivative as a Function
- 講授：
- 8
Differentiation Rules
3.1 Derivatives of Polynomials and Exponential Functions 3.2 The Product and Quotient Rules 3.3 Derivatives of Trigonometric Functions 3.4 The Chain Rule 3.5 Implicit Differentiation 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
- 講授：
- 8
備註：◆ 為選教內容,不列入微積分會考考試範圍。
Applications of Differentiation
4.1 Maximum and Minimum Values 4.2 The Mean Value Theorem 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 4.7 Optimization Problems ◆4.8 Newtons Method 4.9 Antiderivatives
- 講授：
- 7
備註：◆ 為選教內容,不列入微積分會考考試範圍。
Integrals
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 5.5 The Substitution Rule
- 講授：
- 6
Applications of Integration
6.1 Areas Between Curves 6.2 Volumes 6.3 Volumes by Cylindrical Shells 6.5 Average Value of a Function
- 講授：
- 3
Techniques of Integration
7.1 Integration by Parts 7.2 Trigonometric Integrals 7.3 Trigonometric Substitution 7.4 Integration of Rational Functions by Partial Fractions ◆7.5 Strategy for integration ◆7.7 Approximate Integration 7.8 Improper Integrals
- 講授：
- 7
備註：◆ 為選教內容,不列入微積分會考考試範圍。
Further Applications of Integration
8.1 Arc Length 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
- 講授：
- 3
備註：◆ 為選教內容,不列入微積分會考考試範圍。
Parametric Equations and Polar Coordinates
10.1 Curves Defined by Parametric Equations 10.2 Calculus with Parametric Curves 10.3 Polar Coordinates 10.4 Areas in Polar Coordinates
- 講授：
- 4
| 週次 | 主題 |
|---|---|
| 第 1 週 | 2023-09-12(二),2023-09-15(五) |
| 第 2 週 | 2023-09-19(二),2023-09-22(五) |
| 第 3 週 | 2023-09-26(二),2023-09-29(五) |
| 第 4 週 | 2023-10-03(二),2023-10-06(五) |
| 第 5 週 | 2023-10-10(二),2023-10-13(五) |
| 第 6 週 | 2023-10-17(二),2023-10-20(五) |
| 第 7 週 | 2023-10-24(二),2023-10-27(五) |
| 第 8 週 | 2023-10-31(二),2023-11-03(五) |
| 第 9 週 | 2023-11-07(二),2023-11-10(五) |
| 第 10 週 | 2023-11-14(二),2023-11-17(五) |
| 第 11 週 | 2023-11-21(二),2023-11-24(五) |
| 第 12 週 | 2023-11-28(二),2023-12-01(五) |
| 第 13 週 | 2023-12-05(二),2023-12-08(五) |
| 第 14 週 | 2023-12-12(二),2023-12-15(五) |
| 第 15 週 | 2023-12-19(二),2023-12-22(五) |
| 第 16 週 | 2023-12-26(二),2023-12-29(五) |
Calculus: Early Transcendentals, James Stewart, 9th Edition, ISBN: 978-1337613927
- 地點
- SA239
- 時間
- Thursday 16:00-18:00
- 聯絡方式
- Contact: y.chino@math.nctu.edu.tw or You can contact via E3 system.