| 微積分3 |
第一週 |
12.6 |
Cylinders and Quadric Surfaces |
Worksheet (Space Curves and Their Tangents) |
| 14.1 |
Functions of Several Variables |
| 14.2 |
Limits and Continuity |
| 第二週 |
14.3 |
Partial Derivatives |
|
| 14.4 |
Tangent Planes and Linear Approximations |
| 第三週 |
14.5 |
The Chain Rule |
Worksheet (Polar Coordinates) |
| 14.6 |
Directional Derivatives and the Gradient Vector |
| 14.7 |
Maximum and Minimum Values |
| 第四週 |
14.8 |
Lagrange Multipliers |
3/11 (一) 17:30-18:20 Quiz 1 (範圍：12.6、14.1 - 14.5、WS1) |
| 15.1 |
Double Integrals over Rectangles |
| 第五週 |
15.2 |
Double Integrals over General Regions |
Worksheet (Applications of Double Integrals) |
| 15.3 |
Double Integrals in Polar Coordinates |
| 15.4 |
Applications of Double Integrals (WS) |
第六週
3/29(五) 微積分3停修截止 |
15.6 |
Triple Integrals |
3/25 (一) 17:30-18:20 Quiz 2 (範圍：14.6 - 15.3、WS2) |
| 15.7 |
Triple Integrals in Cylindrical Coordinates |
| 15.8 |
Triple Integrals in Spherical Coordinates |
| 第七週 |
15.9 |
Change of Variables in Multiple Integrals |
|
| 第八週 |
緩衝時間 |
|
| 期考 4/13(六) 16:00~18:30 考試以英文命題 |
| 微積分4 |
第九週
4/19(五) 微積分4退選截止 |
16.1 |
Vector Fields |
|
| 16.2 |
Line Integrals |
| 16.3 |
The Fundamental Theorem for Line Integrals (WS) |
| 16.4 |
Green's Theorem |
| 第十週 |
16.5 |
Curl and Divergence |
Worksheet (Conservative Vector Fields) |
| 16.6 |
Parametric Surfaces and Their Areas (WS) |
| 第十一週 |
16.7 |
Surface Integrals |
4/29 (一) 17:30-18:20 Quiz 1 (範圍：16.1 - 16.4) |
| 16.8 |
Stokes' Theorem |
| 16.9 |
The Divergence Theorem |
| 11.1 |
Sequences (*) |
| 第十二週 |
11.2 |
Series |
Worksheet (Parametric Surfaces) |
| 11.3 |
The Integral Test and Estimates of Sums (WS) |
| 11.4 |
The Comparison Tests (*) |
| 第十三週 |
11.5 |
Alternating Series and Absolute Convergence (WS) |
Worksheet (Tests for Convergence of Series) |
| 11.6 |
The Ratio and Root Tests |
| 11.7 |
Strategy for Testing Series (*) |
| 第十四週 |
11.8 |
Power Series |
5/20 (一) 17:30-18:20 Quiz 2 (範圍：16.5 - 16.9、11.2 - 11.4) |
| 11.9 |
Representations of Functions as Power Series |
| 11.10 |
Taylor and Maclaurin Series |
| 11.11 |
Applications of Taylor Polynomials (WS) |
| 第十五週 |
緩衝時間 |
|
| 期考 6/1(六) 09:00~11:30 考試以英文命題 |
| 第十六週 |
|
|