|
週次 |
日期 |
單元主題 |
|
第1週 |
2/22 |
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
|
|
第2週 |
3/1 |
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
|
|
第3週 |
3/8 |
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series
|
|
第4週 |
3/15 |
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials
|
|
第5週 |
3/22 |
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature
13.4 Motion in Space: Velocity and
|
|
第6週 |
3/29 |
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
|
|
第7週 |
4/5 |
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
|
|
第8週 |
4/12 |
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers
|
|
第9週 |
4/19 |
15.1 Double Integrals over Rectangles
15.2 Iterated Integrals
|
|
第10週 |
4/26 |
15.3 Double Integrals over General Regions
15.4 Double Integrals in Polar Coordinates
|
|
第11週 |
5/3 |
15.5 Applications of Double Integrals
15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
|
|
第12週 |
5/10 |
15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables in Multiple Integrals
|
|
第13週 |
5/17 |
16.1 Vector Fields
16.2 Line Integrals
|
|
第14週 |
5/24 |
16.3 The Fundamental Theorem for Line Integrals
16.4 Green’s Theorem
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|
第15週 |
5/31 |
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals
|
|
第16週 |
6/7 |
16.8 Stokes’ Theorem
16.9 The Divergence Theorem
|
|
第17週 |
6/14 |
16.10 Summary |