| 週次 |
授課內容 |
| 第1週 |
1.4 The Tangent and Velocity Problems
1.5 The Limit of a Function
1.6 Calculating Limits Using the Limit Laws |
| 第2週 |
1.7 The Precise Definition of a Limit
1.8 Continuity |
| 第3週 |
2.1 Derivatives and Rates of Change,
2.2 The Derivative as a Function,
2.3 Differentiation Formulas, |
| 第4週 |
2.4 Derivatives of Trigonometric
2.5 Chain Rule
2.6 Implicit Differentiation |
| 第5週 |
2.9 Linear Approximations and Differentials
小考1 |
| 第6週 |
3.1 Maximum and Minimum Values,
3.2 The Mean Value Theorem
3.3 How Derivatives Affect the Shape of a Graph |
| 第7週 |
3.4 Limits at infinity
3.5 Curve Sketching
|
| 第8週 |
3.7 Optimization Problems
3.8 Newton’s Method
3.9 Antiderivatives |
| 第9週 |
期中考 |
| 第10週 |
4.1 The Area and Distance Problems
4.2 The Definite Integral
|
| 第11週 |
4.3 The Fundamental Theorem of Calculus
4.4 Indefinite Integrals and the Net Change Theorem, , |
| 第12週 |
4.5 The Substitution Rule
6.1 Inverse Functions and their Derivatives
6.2 Exponential Functions and Their Derivatives |
| 第13週 |
6.2* The Natural Logarithmic Function
小考2 |
| 第14週 |
6.3 Logarithmic Function
6.3* The Natural Exponential Function
6.4 Derivatives of Logarithmic Functions |
| 第15週 |
6.4* General Logarithmic And Exponential Function
6.6 Inverse Trigonometric Functions |
| 第16週 |
6.7 Hyperbolic Functions
6.8 Indeterminate Forms and L’Hopital Rule
|
自主學習
內容 |
02.閱覽產業及學術相關多媒體資料
觀賞積分技巧相關影片 |