| 週次 |
授課內容 |
| 第1週 |
Functions and Limits: The Limit of a Function 1.5
Calculating Limits Using the Limit Laws 1.6 |
| 第2週 |
The Precise Definition of a Limit 1.7
Continuity 1.8 |
| 第3週 |
Derivatives: Derivatives and Rates of Change 2.1
The Derivative as a Function 2.2 |
| 第4週 |
Differentiation Formulas 2.3
Derivatives of Trigonometric Functions 2.4
The Chain Rule 2.5 |
| 第5週 |
Quiz1
Implicit Differentiation 2.6
Linear Approximations and Differentials 2.9 |
| 第6週 |
Applications of Differentiation: Maximum and Minimum Values 3.1
The Mean-Value Theorem 3.2
How Derivatives Affect the Shape of a Graph 3.3 |
| 第7週 |
Limits at Infinity; Horizontal Asymptotes 3.4
Summary of Curve Sketching 3.5 |
| 第8週 |
Optimization Problems 3.7
Antiderivatives 3.9 |
| 第9週 |
Midterm Exam |
| 第10週 |
Integrals: Areas and Distances 4.1
The Definite Integral 4.2
The Fundamental Theorem of Calculus 4.3 |
| 第11週 |
Indefinite Integrals and the Net Change Theorem 4.4
The Substitution Rule 4.5 |
| 第12週 |
Applications of Integration: Areas Between Curves 5.1
Volumes 5.2
Volumes by Cylindrical Shells 5.3 |
| 第13週 |
Quiz2
Inverse Functions: Inverse Functions 6.1
The Natural Logarithmic Functions 6.2 |
| 第14週 |
The Natural Exponential Function 6.3
General Logarithmic and Exponential Functions 6.4
Exponential Growth and Decay 6.5 |
| 第15週 |
Inverse Trigonometric Functions 6.6
Indeterminate Forms and l’Hospital’ 6.8 |
| 第16週 |
Final Exam
|
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
05.參與本校各單位舉辦之各類工作坊活動
|