週次 | 課程內容 | 課程影音 |
---|---|---|
課程介紹 | 線上觀看 | |
第十一章 Infinite Sequences and Series 11.1-1 Sequences | 線上觀看 | |
11.1-2 Sequences | 線上觀看 | |
11.2 Series | 線上觀看 | |
11.3 The Integral Test and Estimates of Sums | 線上觀看 | |
11.4 The Comparison Test | 線上觀看 | |
11.5 Alternating Series (I) | 線上觀看 | |
11.5 Alternating Series (II) | 線上觀看 | |
11.6 Absolute Convergence and the Ratio and Root Tests | 線上觀看 | |
11.8 Power Series | 線上觀看 | |
11.9 Representations of Functions as Power Series (I) | 線上觀看 | |
11.9 Representations of Functions as Power Series (II) | 線上觀看 | |
11.10 Taylor and Maclaurin Series (I) | 線上觀看 | |
11.10 Taylor and Maclaurin Series (II) | 線上觀看 | |
11.11 Applications of Taylor Polynomials | 線上觀看 | |
第十二章 Vectors and the Geometry of Space 12.5 Equations of Lines and Planes | 線上觀看 | |
12.6 Cylinders and Quadric Surfaces | 線上觀看 | |
第十三章 Vector Functions 13.1 Vector Functions and Space Curves | 線上觀看 | |
13.2 Derivatives and Integrals of Vector Functions (I) | 線上觀看 | |
13.2 Derivatives and Integrals of Vector Functions (II) | 線上觀看 | |
13.3 Arc Length and Curvature | 線上觀看 | |
13.4 Motion in Space: Velocity and Acceleration | 線上觀看 | |
第十四章 Partial Derivatives 14.1 Functions of Several Variable | 線上觀看 | |
14.2 Limits and Continuity (I) | 線上觀看 | |
14.2 Limits and Continuity (II) | 線上觀看 | |
14.3 Partial Derivatives | 線上觀看 | |
14.4 Tangent Planes and Differentials (I) | 線上觀看 | |
14.4 Tangent Planes and Differentials (II) | 線上觀看 | |
14.5 The Chain Rule (I) | 線上觀看 | |
14.5 The Chain Rule (II) | 線上觀看 | |
14.6 Directional Derivatives and the Gradient Vector | 線上觀看 | |
14.7 Maximum and Minimum Values (I) | 線上觀看 | |
14.7 Maximum and Minimum Values (II) | 線上觀看 | |
14.8 Lagrange Multipliers (I) | 線上觀看 | |
14.8 Lagrange Multipliers (II) | 線上觀看 | |
14.8 Lagrange Multipliers (III) | 線上觀看 | |
第十五章 Multiple Integrals 15.1 Double Integrals over Rectangular | 線上觀看 | |
15.2 Iterated Integrals | 線上觀看 | |
15.3 Double Integrals over General Regions (I) | 線上觀看 | |
15.3 Double Integrals over General Regions (II) | 線上觀看 | |
15.4 Double Integrals in Polar Coordinates | 線上觀看 | |
15.5 Application of Double Integrals | 線上觀看 | |
15.6 Triple Integrals (I) | 線上觀看 | |
15.6 Triple Integrals (II) | 線上觀看 | |
15.7 Triple Integrals in Cylindrical Coordinates 15.8 Triple Integrals in Spherical Coordinates | 線上觀看 | |
15.9 Change of Variables in Multiple Integrals (I) | 線上觀看 | |
15.9 Change of Variables in Multiple Integrals (II) | 線上觀看 |