| 微積分1 |
第一週 |
2.1 |
The Tangent and Velocity Problems |
Worksheet (Inverse Trigonometric Functions) |
| 2.2 |
The Limit of a Function |
| 2.3 |
Calculating Limits Using the Limit Laws |
| 第二週 |
2.4 |
The Precise Definition of a Limit (WS) |
Worksheet (The Precise Definition of a Limit) |
| 2.5 |
Continuity |
| 2.6 |
Limits at Infinity; Horizontal Asymptotes |
| 2.7 |
Derivatives and Rates of Change |
| 第三週 |
2.8 |
The Derivative as a Function |
|
| 3.1 |
Derivatives of Polynomials and Exponential Functions |
| 3.2 |
The Product and Quotient Rules |
| 3.3 |
Derivatives of Trigonometric Functions |
| 第四週 |
3.4 |
The Chain Rule |
9/26 (一) 17:30-18:20 Quiz 1 (範圍 2.1-3.3) |
| 3.5 |
Implicit Differentiation |
| 第五週 |
3.6 |
Derivatives of Logarithmic and Inverse Trigonometric Functions |
Worksheet (Related Rates) |
| 3.9 |
Related Rates (WS) |
| 3.10 |
Linear Approximations and Differentials |
第六週
10/14(五) 微積分1停修截止 |
4.1 |
Maximum and Minimum Values |
|
| 4.2 |
The Mean Value Theorem |
| 4.3 |
What Derivatives Tell Us about the Shape of a Graph |
| 第七週 |
4.4 |
Indeterminate Forms and l'Hospital's Rule |
10/17(一) 17:30-18:20 Quiiz 2 (範圍：3.4 - 4.2) |
| 4.5 |
Summary of Curve Sketching |
| 4.7 |
Optimization Problems |
| 4.9 |
Antiderivatives (*) |
| 第八週 |
|
緩衝時間 |
|
| 期考 10/29(六) 09:00~11:30 考試以英文命題 |
| 微積分2 |
第九週
11/4(五) 微積分2退選截止 |
5.1 |
The Area and Distance Problems |
|
| 5.2 |
The Definite Integral |
| 5.3 |
The Fundamental Theorem of Calculus |
| 5.4 |
Indefinite Integrals and the Net Change Theorem |
| 第十週 |
5.5 |
The Substitution Rule |
Worksheet (Volumes) |
| 6.1 |
Areas Between Curves |
| 6.2 |
Volume (WS) |
| 6.3 |
Volumes by Cylindrical Shells (WS) |
| 6.5 |
Average Value of a Function (WS) |
| 7.1 |
Integration by Parts |
| 第十一週 |
7.2 |
Trigonometric Integrals |
Worksheet (Other Applications of Integrations) |
| 7.3 |
Trigonometric Substitution |
| 7.4 |
Integration of Rational Functions by Partial Fractions |
| 第十二週 |
7.5 |
Strategy for Integration |
11/21(一) 17:30-18:20 Quiz1 (範圍：5.1 - 7.3) |
| 7.8 |
Improper Integrals |
| |
Laplace Transforms of Special Functions |
| 8.1 |
Arc Length (WS) |
| 第十三週 |
9.1 |
Modeling with Differential Equations |
|
| 9.3 |
Separable Equations |
| 9.5 |
Linear Equations |
| 第十四週 |
17.1 |
Second-Order Linear Equations |
Worksheet (Solving Differential Equztions by Laplace Transform) |
| 17.2 |
Nonhomogeneous Linear Equations |
| |
Solving Differential Equations by Laplace Transform (WS) |
| 第十五週 |
10.1 |
Curves Defined by Parametric Equations |
12/12(一) 17:30-18:20 Quiz2 (範圍：7.4-9.5) |
| 10.2 |
Calculus with Parametric Curves |
| 10.3 |
Polar Coordinates |
| 10.4 |
Calculus in Polar Coordinates |
| 第十六週 |
|
緩衝時間 |
|
| 期考12/24(六) 09:00~11:30 考試以英文命題 |