Rearrangement of Series and Binomial Series
| 週次 | 課程內容 | 課程影音 |
|---|---|---|
| 1 | Chapter 8 Sequences, Series, and Power Series Introduction 8.1 Sequences | 線上觀看 |
| 2 | 8.1 Sequences 8.2 Series 8.3 The Integral Test | 線上觀看 |
| 3 | 8.1-8.3的補充例題 (Other Examples for 8.1-8.3) 8.4 Comparison Tests | 線上觀看 |
| 4 | 正項級數斂散性的複習 (Review of the Test for Convergence of Series with Non-negative Terms) 8.5 The Ratio and Root Tests | 線上觀看 |
| 5 | 8.6 Alternating Series and Absolute Convergence | 線上觀看 |
| 6 | 8.7 Power Series 8.8 Representation of Functions as Power Series(1/2) | 線上觀看 |
| 7 | 8.8 Representation of Functions as Power Series(2/2) 8.9 Taylor Series and Maclaurin Series(1/3) | 線上觀看 |
| 8 | 8.9 Taylor Series and Maclaurin Series(2/3) | 線上觀看 |
| 9 | 8.9 Taylor Series and Maclaurin Series(3/3) | 線上觀看 |
| 10 | Rearrangement of Series and Binomial Series | 線上觀看 |
| 11 | Chapter 9 Vector and the Geometry of Space 9.1 Vectors in the Plane 9.2 Vectors in Space 9.3 The Dot Product of Two Vectors in Space | 線上觀看 |
| 12 | Chapter 10 Vector Functions 10.1 Vector Functions and Space Curves(1/2) | 線上觀看 |
| 13 | 10.1 Vector Functions and Space Curves(2/2) 10.2 Differentiation and Integration of Vector Function(1/2) | 線上觀看 |
| 14 | 10.2 Differentiation and Integration of Vector Function(2/2) 10.3 Arc Length and Curvature(1/2) | 線上觀看 |
| 15 | 10.3 Arc Length and Curvature(2/2) Chapter 11 Partial Derivatives 11.1 Functions of Several Variables 11.2 Limits and Continuity(1/3) | 線上觀看 |
| 16 | 11.2 Limits and Continuity(2/3) | 線上觀看 |
| 17 | 11.2 Limits and Continuity(3/3) | 線上觀看 |
| 18 | 11.3 Partial Derivatives 11.4 Tangent Plane and Linear Approximation(1/2) | 線上觀看 |
| 19 | 11.4 Tangent Plane and Linear Approximation(2/2) 11.5 The Chain Rule(1/2) | 線上觀看 |
| 20 | 11.5 The Chain Rule(2/2) 11.6 Directional Derivatives and the Gradient Vector(1/3) | 線上觀看 |
| 21 | 11.6 Directional Derivatives and the Gradient Vector(2/3) | 線上觀看 |
| 22 | 11.6 Directional Derivatives and the Gradient Vector(3/3) 11.7 Maximum and Minimum Values(1/2) | 線上觀看 |
| 23 | 11.7 Maximum and Minimum Values(2/2) 11.8 Lagrange Multiplier Method | 線上觀看 |
| 24 | Chapter 12 Multiple Integrals 12.1 Iterated Integrals(1/2) | 線上觀看 |
| 25 | 12.1 Iterated Integrals(2/2) 12.2 Double Integrals(1/2) | 線上觀看 |
| 26 | 12.2 Double Integrals(2/2) | 線上觀看 |
| 27 | 12.3 Double Integrals in Polar Coordinates 12.4 Surface Area | 線上觀看 |
| 28 | 12.5 Triple Integrals(1/2) | 線上觀看 |
| 29 | 12.5 Triple Integrals(2/2) 12.6 Triple Integrals in Cylindrical Coordinates | 線上觀看 |
| 30 | 12.7 Triple Integrals in Spherical Coordinates | 線上觀看 |
| 31 | 12.8 Change of Variables in Multiple Integrals | 線上觀看 |
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