| 週次 |
授課內容 |
| 第1週 |
Limits (1.1), (1.2)
(This calculus course is a distant course.) |
| 第2週 |
Limits (1.3), (1.4), (1.5) |
| 第3週 |
Continuity of functions (1.6), tangent lines (2.1) |
| 第4週 |
The derivatives (2.2), (2.3) |
| 第5週 |
Derivative of trig functions (2.4), chain rule (2.5) |
| 第6週 |
Higher order derivatives (2.6), implicit differentiation (2.7) |
| 第7週 |
Maximum and minimum (3.1), monotonicity and concavity (3.2), inflection points (3.2)
|
| 第8週 |
Midterm exam |
| 第9週 |
Extrema on open intervals (3.3), mean value theorem (3.6)
|
| 第10週 |
L’Hospital’s rule (8.1), antiderivatives (3.8) |
| 第11週 |
Differential equations (3.9)
|
| 第12週 |
Riemann sum and definite integral (4.2), unified exam on Thursday
|
| 第13週 |
First fundamental theorem of calculus (4.3) |
| 第14週 |
Second fundamental theorem of calculus (4.4) |
| 第15週 |
Area of a plane Region (5.1) |
| 第16週 |
Final exam
Self-learning (Area of a plane Region (5.2))
Assignment: homework problems + learning experience report
Self-learning (Natural logarithm function (6.1))
Assignment: homework problems + learning experience report |
自主學習
內容 |
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