微積分
1
|
第一週 |
2.1 |
The Tangent and Velocity Problems |
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 |
2.5 |
Continuity |
2.6 |
Limits at Infinity; Horizontal Asymptotes |
第三週 |
2.7 |
Derivatives and Rates of Change |
2.8 |
The Derivative as a Function |
第四週 |
3.1 |
Derivatives of Polynomials and Exponential Functions |
3.2 |
The Product and Quotient Rules |
3.3 |
Derivatives of Trigonometric Functions |
第五週 |
3.4 |
The Chain Rule |
3.5 |
Implicit Differentiation |
3.6 |
Derivatives of Logarithmic and Inverse Trigonometric Functions |
第六週
11/2(二)微積分1停修截止 |
3.9 |
Related Rates |
3.10 |
Linear Approximations and Differentials |
4.1 |
Maximum and Minimum Values |
第七週 |
4.2 |
The Mean Value Theorem |
4.3 |
What Derivatives Tell Us about the Shape of a Graph |
4.4 |
Indeterminate Forms and l'Hospital's Rule |
第八週 |
4.5 |
Summary of Curve Sketching |
4.7 |
Optimization Problems |
4.9 |
Antiderivatives |
期考 11/13(六) 考試以英文命題 |
微積分
2
|
第九週
11/23(二) 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 |
第十週 |
5.4 |
Indefinite Integrals and the Net Change Theorem |
5.5 |
The Substitution Rule |
第十一週
12/7(二) 微積分2停修截止 |
6.1 |
Areas Between Curves |
6.2 |
Volumes |
6.3 |
Volumes by Cylindrical Shells |
6.5 |
Average Value of a Function |
第十二週 |
7.1 |
Integration by Parts |
7.2 |
Trigonometric Integrals |
7.3 |
Trigonometric Substitution |
第十三週 |
7.4 |
Integration of Rational Functions by Partial Fractions |
7.5 |
Strategy for Integration |
7.8 |
Improper Integrals |
第十四週 |
8.1 |
Arc Length |
8.2 |
Area of a Surface of Revolution (*) |
9.1 |
Modeling with Differential Equations |
9.3 |
Separable Equations |
第十五週 |
9.5 |
Linear Equations |
10.1 |
Curves Defined by Parametric Equations |
10.2 |
Calculus with Parametric Curves |
第十六週 |
10.3 |
Polar Coordinates |
10.4 |
Calculus in Polar Coordinates |
期考1/9(日) 考試以英文命題 |