| 週次 |
授課內容 |
| 第1週 |
Functions and Limits:
The Limit of a Function 1.5
|
| 第2週 |
Calculating Limits Using the Limit Laws 1.6
|
| 第3週 |
The Precise Definition of a Limit 1.7
Continuity 1.8
小考：1.5-1.6
|
| 第4週 |
Derivatives: Derivatives and Rates of Change 2.1
The Derivative as a Function 2.2
|
| 第5週 |
Differentiation Formulas 2.3
Derivatives of Trigonomtric Functions & The Chain Rule 2.4-2.5
小考：1.7-2.1
|
| 第6週 |
Implicit Differentiation 2.6
Related Rates & Linear Approximations and Differentials 2.8-2.9
|
| 第7週 |
Applications of Differentiation: Maximum and Minimum Values 3.1
|
| 第8週 |
期中考
The Mean-Value Theorem & How Derivatives Affect the Shape of a Graph 3.2-3.3
Limits at Infinity; Horizontal Asymptotes 3.4
|
| 第9週 |
Summary of Curve Sketching & Optimization Problems 3.5-3.7
Newton’s Method & Antiderivatives 3.8-3.9
|
| 第10週 |
Integrals: Areas and Distances 4.1
The Definite Integral 4.2
|
| 第11週 |
The Fundamental Theorem of Calculus 4.3
Indefinite Integrals and the Net Change Theorem 4.4
|
| 第12週 |
The Substitution Rule 4.5
|
| 第13週 |
Applications of Integration: Areas Between Curves 5.1
Volumes 5.2
|
| 第14週 |
Volumes by Cylindrical Shells & Inverse Functions: Inverse Functions 5.3-6.1
The Natural Logarithmic Functions 6.2
|
| 第15週 |
The Natural Exponential Function & General Logarithmic and Exponential Functions & Exponential Growth and Decay 6.3-6.5
|
| 第16週 |
期末考
|
自主學習
內容 |
01.參與專業論壇、講座、企業分享等產官學研相關交流活動
02.閱覽產業及學術相關多媒體資料
|