週次 |
日期 |
單元主題 |
第1週 |
2/25,2/27 |
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[11.1] Sequences <br>
[11.2] Series <br>
註:2/27(五)和平紀念日遇例假日補假
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第2週 |
3/04,3/06 |
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[11.3] The Integral Test and Estimates of Sums
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[11.4] The Comparison Tests
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[11.5] Alternating Series
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[11.6] Absolute Convergence and the Ratio and Root Tests
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第3週 |
3/11,3/13 |
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[11.7] Strategy for Testing Series <br>
[11.8] Power Series <br>
[11.9] Representations of Functions as Power Series <br>
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第4週 |
3/18,3/20 |
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[11.10] Taylor and Maclaurin Series <br>
[11.11] Applications of Taylor Polynomials <br>
[12.6] Cylinders and Quadric Surfaces <br>
[13.1] Vector Functions and Space Curves <br>
Quiz 1 (3/18) <br>
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第5週 |
3/25,3/27 |
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[13.2] Derivatives and Integrals of Vector Functions <br>
[13.3] Arc Length and Curvature <br>
[14.1] Functions of Several Variables <br>
[14.2] Limits and Continuity <br>
[14.3] Partial Derivatives <br>
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第6週 |
4/01,4/03 |
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4/1(三) 溫書假 <br>
4/3(五) 溫書假 <br>
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第7週 |
4/08,4/10 |
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[14.4] Tangent Planes and Linear Approximations <br>
[14.5] The Chain Rule <br>
[14.6] Directional Derivatives and the Gradient Vector <br>
Quiz 2 (4/8)<br>
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第8週 |
4/15,4/17 |
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[14.7] Maximum and Minimum Values <br>
[14.8] Lagrange Multipliers <br>
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第9週 |
4/22,4/24 |
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緩衝時間 <br>
Quiz 3 (4/22) <br>
期中考 4/25(六)09:00∼11:30 考試範圍:11.1∼14.8(英文命題) <br>
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第10週 |
4/29,5/01 |
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[15.1] Double Integrals over Rectangles <br>
[15.2] Iterated Integrals <br>
[15.3] Double Integrals over General Regions <br>
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第11週 |
5/06,5/08 |
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[15.4] Double Integrals in Polar Coordinates <br>
[15.5] Applications of Double Integrals <br>
[15.6] Surface Area <br>
[15.7] Triple Integrals <br>
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第12週 |
5/13,5/15 |
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[15.8] Triple Integrals in Cylindrical Coordinates <br>
[15.9] Triple Integrals in Spherical Coordinates <br>
[15.10] Change of Variables in Multiple Integrals <br>
Quiz 4 (5/13)<br>
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第13週 |
5/20,5/22 |
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緩衝時間 <br>
[16.1] Vector Fields <br>
[16.2] Line Integrals <br>
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第14週 |
5/27,5/29 |
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[16.3] The Fundamental Theorem for Line Integrals <br>
[16.4] Green's Theorem <br>
Quiz 5 (5/27)
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第15週 |
6/03,6/05 |
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[16.5] Curl and Divergence <br>
[16.6] Parametric Surfaces and Their Areas <br>
[16.7] Surface Integrals <br>
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第16週 |
6/10,6/12 |
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[16.8] Stokes' Theorem <br>
[16.9] The Divergence Theorem <br>
[16.10] Summary <br>
Quiz 6 (6/10)
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第17週 |
6/17, 6/19 |
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緩衝時間<br>
期末考 6/19(五)09:00∼11:30 考試範圍:15.1∼16.10
(英文命題)
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