|
週次 |
日期 |
單元主題 |
|
第1週 |
9/17,9/19 |
1. Functions and
Models<br>
[1.5] Exponential Functions<br>
[1.6] Inverse Functions and Logarithms<br>
2. Limits and
Derivatives<br>
[2.1] The Tangent and Velocity Problems<br>
[2.2] The Limit of a Function |
|
第2週 |
9/24,9/26 |
2. Limits and
Derivatives<br>
[2.3] Calculating Limits Using the Limit Laws<br>
[2.4] The Precise Definition of a Limit<br>
[2.5] Continuity<br>
[2.6] Limits at Infinity; Horizontal Asymptotes |
|
第3週 |
10/01,10/03 |
2. Limits and
Derivatives<br>
[2.7] Derivatives and Rates of Change<br>
[2.8] The Derivative as a Function<br>
3. Differentiation Rules<br>
[3.1] Derivatives of Polynomials and Exponential Functions<br>
[3.2] The Product and Quotient Rules |
|
第4週 |
10/08,10/10 |
3. Differentiation Rules<br>
[3.3] Derivatives of Trigonometric Functions<br>
[3.4] The Chain Rule<br>
10/10國慶日放假 |
|
第5週 |
10/15,10/17 |
3. Differentiation Rules<br>
[3.5] Implicit Differentiation<br>
[3.6] Derivatives of Logarithmic Functions<br>
[3.7] Rates of Change in the Natural and Social Sciences（※）<br>
[3.8] Exponential Growth and Decay<br>
[3.9] Related Rates<br>
[3.10] Linear Approximations and Differentials |
|
第6週 |
10/22,10/24 |
3. Differentiation Rules<br>
[3.11] Hyperbolic Functions<br>
4. Applications of
Differentiation<br>
[4.1] Maximum and Minimum Values |
|
第7週 |
10/29,10/31 |
4. Applications of
Differentiation<br>
[4.2] The Mean Value Theorem<br>
[4.3] How Derivatives Affect the Shape of a Graph<br>
[4.4] Indeterminate Forms and L'Hospital's Rule<br>
[4.5] Summary of Curve Sketching |
|
第8週 |
11/05,11/07, 11/08 |
4. Applications of
Differentiation<br>
[4.6] Graphing with Calculus and Calculators（※）<br>
[4.7] Optimization Problems<br>
[4.8] Newton’s Method（※）<br>
[4.9] Antiderivatives<br>
<b>11/8(六)期中考，時間：09:00-11:30，
考試範圍 1.5-4.9，英文命題</b> |
|
第9週 |
11/12,11/14 |
5. Integrals<br>
[5.1] Areas and Distances<br>
[5.2] The Definite Integral<br>
[5.3] The Fundamental Theorem of Calculus<br>
[5.4] Indefinite Integrals and the Net Change Theorem |
|
第10週 |
11/19,11/21 |
5. Integrals<br>
[5.5] The Substitution Rule<br>
6. Applications of Integration<br>
[6.1] Areas Between Curves<br>
[6.2] Volumes<br>
[6.3] Volumes by Cylindrical Shells |
|
第11週 |
11/26,11/28 |
6. Applications of Integration<br>
[6.4] Work（※）<br>
[6.5] Average Value of a Function<br>
7. Techniques of Integration<br>
[7.1] Integration by Parts<br>
[7.2] Trigonometric Integrals |
|
第12週 |
12/03,12/05 |
7. Techniques of Integration<br>
[7.3] Trigonometric Substitution<br>
[7.4] Integration of Rational Functions by Partial Fractions<br>
[7.5] Strategy for Integration<br>
[7.7] Approximate Integration |
|
第13週 |
12/10,12/12 |
7. Techniques of Integration<br>
[7.8] Improper Integrals<br>
8. Further Applications of Integration<br>
[8.1] Arc Length |
|
第14週 |
12/17,12/19 |
8. Further Applications of Integration<br>
[8.2] Area of a Surface of Revolution<br>
[8.3] Applications to Physics and Engineering<br>
[8.4] Applications to Economics and Biology（※）<br>
[8.5] Probability（※）<br>
9. Differential Equations<br>
[9.1] Modeling with Differential Equations |
|
第15週 |
12/24,12/26 |
9. Differential Equations<br>
[9.3] Separable Equations<br>
[9.4] Models for Population Growth<br>
[9.5] Linear Equations<br>
10. Parametric Equations and Polar Coordinates<br>
[10.1] Curves Defined by Parametric Equations |
|
第16週 |
12/31,1/02 |
10. Parametric Equations and Polar Coordinates<br>
[10.2] Calculus with Parametric Curves<br>
[10.3] Polar Coordinates |
|
第17週 |
1/07,1/09 |
10. Parametric Equations and Polar Coordinates<br>
[10.4] Areas and Lengths in Polar Coordinates<br>
[10.6] Conic Sections in Polar Coordinates<br>
<b>1/10(六)期末考，時間：13:30-16:00，考試範圍：5.1-10.6，英文命題 |