|
週次 |
日期 |
單元主題 |
|
第1週 |
2/22、2/24 |
9.1 Sequences and Convergence<br>
9.2 Infinite Series<br>
9.3 Convergence Tests for Positive Series<br>
9.4 Absolute and Conditional Convergence |
|
第2週 |
2/29、3/2 |
9.5 Power Series<br>
9.6 Taylor and Maclaurin Series<br>
9.7 Applications of Taylor and Maclaurin Series |
|
第3週 |
3/7、3/9 |
9.8 The Binomial Theorem and Binomia Series<br>
10.6 Cylindrical and Spherical Coordinates<br>
10.7 A Little Linear Algebra<br>
11.1 Vector Functions of One Variable |
|
第4週 |
3/14、3/16 |
11.2 Some Applications of Vector Differentiation<br>
11.3 Curves and Parametrizations<br>
11.4 Curvature, Torsion, and the Frenet Frame<br>
11.5 Curvature and Torsion for General Parametrizations |
|
第5週 |
3/21、3/23 |
11.6 Kepler's Laws of Planetary Motion（※）<br>
12.1 Functions of Several Variables<br>
12.2 Limits and Continuity<br>
12.3 Partial Derivative |
|
第6週 |
3/28、3/30 |
12.4 Highe -Order Derivatives<br>
12.5 The Chain Rule<br>
12.6 Linear Approximations, Differentiability, and Differentials<br>
12.7 Gradients and Directional Derivatives |
|
第7週 |
4/4、4/6 |
4/3(二)∼4/6(五)放假 |
|
第8週 |
4/11、4/13 |
12.8 Implicit Functions<br>
12.9 Taylor Series and Approximations<br>
13.1 Extreme Values |
|
第9週 |
4/18、4/20 |
13.2 Extreme Values of Functions Defined on Restricted Domains<br>
13.3 Lagrange Multipliers<br>
4/20（五）期中考，考試範圍：9.1∼13.3（英文命題） |
|
第10週 |
4/25、4/27 |
13.4 The Method of Least Squares<br>
13.5 Parametric Problems |
|
第11週 |
5/2、5/4 |
14.1 Double Integrals<br>
14.2 Iteration of Double Integrals in Cartesian Coordinates<br>
14.3 Improper Integrals and a Mean-Value Theorem |
|
第12週 |
5/9、5/11 |
14.4 Double Integrals in Polar Coordinates<br>
14.5 Triple Integrals |
|
第13週 |
5/16、5/18 |
14.6 Change of Variables in Triple Integrals<br>
14.7 Applications of Multiple Integrals（※）<br>
15.1 Vector and Scalar Fields |
|
第14週 |
5/23、5/25 |
15.2 Conservative Fields<br>
15.3 Line Integrals<br>
15.4 Line Integrals of Vector Fields |
|
第15週 |
5/30、6/1 |
15.5 Surfaces and Surface Integrals<br>
15.6 Oriented Surfaces and Flux Integrals<br>
16.1 Gradient, Divergence, and Curl |
|
第16週 |
6/6、6/8 |
16.2 Some Identities Involving Grad, Div, and Curl<br>
16.3 Green's Theorem in the Plane<br>
16.4 The Divergence Theorem in 3-Space |
|
第17週 |
6/13、6/15 |
16.5 Stokes's Theorem<br>
16.6 Some Physical Applications of Vector<br>
16.7 Orthogonal Curvilinear Coordinates |
|
第18週 |
6/20、6/22 |
6/20（三）期末考，考試範圍：13.4∼16.7（英文命題） |