週次 |
日期 |
單元主題 |
第1週 |
09/11 |
Course overview & exponential functions (1.4) |
第1週 |
09/13 |
Inverse functions & logarithms (1.5) |
第2週 |
09/18 |
Limit of function (2.2-2.3) |
第2週 |
09/20 |
Mathematical definition of limit (2.4) |
第3週 |
09/25 |
Continuity (2.5) & limits at infinity (2.6) |
第3週 |
09/27 |
Derivatives (2.7-2.8) |
第4週 |
10/02 |
Derivatives of polynomials & exponential functions (3.1), &
product, quotient rules (3.2)
<font color=#008000> Quiz 1: 17:30-18:00, Topic: 1.4, 1.5, 2.3-2.6
</font> |
第4週 |
10/04 |
Derivative of trigonometric functions (3.3) & chain rule (3.4)
|
第5週 |
10/09 |
Implicit differentiation (3.5)
<font color=#0000ff> Term 1: Midterm exam (17:30-18:20)
Topics: 1.4, 1.5, 2.2-2.8, 3.1-3.4 </font>
<font color=#800000> HW 1 due </font> |
第5週 |
10/11 |
Derivatives of logarithmic functions (3.6) |
第6週 |
10/16 |
Exponential growth & decay (3.8) & related rates (3.9) |
第6週 |
10/18 |
Linear approximations & differentials (3.10) & hyperbolic functions (3.11) |
第7週 |
10/23 |
Maximum & minimum values (4.1) & mean value theorem (4.2) |
第7週 |
10/25 |
How derivatives affect shape of graph (4.3) &
indeterminate form (4.4)
<font color=#008000> Quiz 2: 13:20-14:10
Topics: 3.5, 3.6, 3.10, 4.1-4.5 </font> |
第8週 |
10/30 |
Summary of curve sketching (4.5) & optimization problems |
第8週 |
11/01 |
Antiderivatives (4.9)
<font color=#800000> HW 2 due </font> |
第8週 |
11/03 |
<font color=#0000ff> Term 1: Final exam (09:00-11:30)
Topics: 1.4-4.9
</font> Exclude: 3.7, 3.8, 3.11, 4.6, 4.8 |
第9週 |
11/06 |
<font color=#ff0000> No class: Term 1 break </font> |
第9週 |
11/08 |
Area & distance (5.1), definite integral (5.2) |
第10週 |
11/15 |
<font color=#ff0000> No class: 校慶 </font> |
第17週 |
01/01 |
<font color=#ff0000> No class: National holiday </font> |