|
週次 |
日期 |
單元主題 |
|
第1週 |
9/18 |
<p>[11.3] The Integral Test and Estimates of Sums</p>
<p>[11.4] The comparison Tests |
|
第1週 |
9/16 |
<p>[11.1] Sequences</p>
<p>[11.2] Series |
|
第2週 |
9/23 |
<p>[11.5] Alternating Series</p>
<p>[11.6] Absolute Convergence and the Ratio and Root Tests |
|
第2週 |
9/25 |
[11.7] Strategy for Testing Series |
|
第4週 |
10/9 |
<p>[11.10] Taylor and Maclaurin Series</p>
<p>[11.11] Applications of Taylor Polynomials |
|
第4週 |
10/07 |
<p>[11.10] Taylor and Maclaurin Series</p>
<p>[11.11] Applications of Taylor Polynomials |
|
第5週 |
10/14 |
<p>[13.2] Derivatives and Integrals of Vector Functions</p>
<p>[13.3] Arc Length and Curvature (1) |
|
第5週 |
10/16 |
<p>[13.3] Arc Length and Curvature (2)</p>
<p>[13.4] Motion in Space: Velocity and Acceleration (*)</p>
<p><font color=#ff0000>Quiz 2: 11.7-11.11</font> |
|
第6週 |
10/21 |
<p>[14.1] Functions of Several Variables</p>
<p>[14.2] Limits and Continuity</p>
<p>[14.3] Partial Derivatives |
|
第6週 |
10/23 |
<p>[14.4] Tangent Planes and Linear Approximations</p>
<p>[14.5] The Chain Rule |
|
第7週 |
10/28 |
[14.6] Directional Derivatives and the Gradient Vector |
|
第7週 |
10/30 |
<p>[14.7] Maximum and Minimum Values</p>
<p><font color=#ff0000>Quiz 3: 12.6-14.3</font> |
|
第8週 |
11/04 |
[14.8] Lagrange Multipliers |
|
第8週 |
11/06 |
緩衝時間 |
|
第9週 |
11/13 |
<font color=#ff0000>期中考: 11.1-14.8</font> |
|
第9週 |
11/11 |
緩衝時間 |
|
第10週 |
11/18 |
<p>[15.1] Double Integrals over Rectangles</p>
<p>[15.2] Iterated Integrals |
|
第10週 |
11/20 |
[15.3] Double Integrals over General Regions |
|
第11週 |
11/27 |
<p>緩衝時間</p>
<p><font color=#ff0000>Quiz 4: 15.1-15.3</font> |
|
第11週 |
11/25 |
<p>[15.4] Double Integrals in Polar Coordinates</p>
<p>[15.5] Applications of Double Integrals(*) |
|
第12週 |
12/02 |
<p>[15.6] Surface Area</p>
<p>[15.7] Triple Integrals |
|
第12週 |
12/4 |
<p>[15.8] Triple Integrals in Cylindrical Coordinates</p>
<p>[15.9] Triple Integrals in Spherical Coordinates |
|
第13週 |
12/09 |
[15.10] Change of Variables in Multiple Integrals |
|
第13週 |
12/11 |
<p>緩衝時間</p>
<p><font color=#ff0000>Quiz 5: 15.4-15.7</font> |
|
第14週 |
12/18 |
[16.3] The Fundamental Theorem for Line Integrals |
|
第14週 |
12/16 |
<p>[16.1] Vector Fields</p>
<p>[16.2] Line Integrals |
|
第15週 |
12/23 |
[16.4] Green’s Theorem |
|
第15週 |
12/25 |
<p>[16.5] Curl and Divergence</p>
<p><font color=#ff0000>Quiz 6:15.8-16.2</font> |
|
第16週 |
12/30 |
<p>[16.6] Parametric Surfaces and Their Areas </p>
<p>[16.7] Surface Integrals |
|
第17週 |
1/8 |
<p>[16.9] The Divergence Theorem</p>
<p>[16.10] Summary |
|
第17週 |
1/06 |
[16.8] Stokes’ Theorem |
|
第18週 |
1/13 |
停課 |
|
第18週 |
1/15 |
<font color=#ff0000>期末考</font> |
|
第3-1週 |
9/30 |
<p>[11.8] Power Series</p>
<p>[11.9] Representations of Functions as Power Series (1) |
|
第3-2週 |
10/2 |
<p>[11.9] Representations of Functions as Power Series (2)</p>
<p><font color=#ff0000>Quiz 1: 11.1-11.6</font> |
|
第16-2週 |
1/1 |
開國紀念日放假一日 |