週次 | 課程內容 | 課程影音 | 課程下載 |
---|---|---|---|
Chapter11 Functions and Model 11-1 Sequences | 線上觀看 | MP4下載 | |
11-2 Series 11-3 The Integral Test and Estimates of Sums 11-4 The Comparison Tests | 線上觀看 | MP4下載 | |
11-4 The Comparison Tests 11-5 Alternating Series | 線上觀看 | MP4下載 | |
11-6 Absolute Convergence and the Ratio and Root Tests 11-8 Power Series | 線上觀看 | MP4下載 | |
11-9 Representations of Functions as Power Series 11-10 Taylor and Maclaurin Series | 線上觀看 | MP4下載 | |
11-10 Taylor and Maclaurin Series | 線上觀看 | MP4下載 | |
11-11 The Binomial Series 11-12 Applications of Taylor Polynomials Chapter12 Vectors and the Geometry of Space 12-1 Three-Dimensional Coordinate Systems 12-2 Vectors 12-3 The Dot Product | 線上觀看 | MP4下載 | |
12-4 The Cross Product 12-5 Equations of Lines and Planes 12-6 Cylinders and Quadric Surface | 線上觀看 | MP4下載 | |
12-6 Cylinders and Quadric Surface 12-7 Cylindrical and Spherical Coordinates Chapter13 Vector Functions 13-1 Vector Functions and Space Curves | 線上觀看 | MP4下載 | |
13-1 Vector Functions and Space Curves 13-2 Derivatives and Integrals of Vector Functions | 線上觀看 | MP4下載 | |
13-2 Derivatives and Integrals of Vector Functions 13-3 Arc Length and Curvature 13-4 Motion in Space:Velocity and Acceleration | 線上觀看 | MP4下載 | |
Chapter14 Partial Derivatives 14-1 Functions of Several Variables 14-2 Limits and Continuity | 線上觀看 | MP4下載 | |
14-3 Partial Derivatives | 線上觀看 | MP4下載 | |
14-4 Tangent Lanes and Linear Approximations | 線上觀看 | MP4下載 | |
14-5 The Chain Rule 14-6 Directional Derivatives and the Gradient Vector | 線上觀看 | MP4下載 | |
14-6 Directional Derivatives and the Gradient Vector 14-7 Maximum and Minimum Values | 線上觀看 | MP4下載 | |
14-7 Maximum and Minimum Values 14-8 Lagrange Multipliers | 線上觀看 | MP4下載 | |
14-8 Lagrange Multipliers | 線上觀看 | MP4下載 | |
Chapter15 Multiple Integrals 15-1 Double Integrals over Rectangles 15-2 Iterated Integrals | 線上觀看 | MP4下載 | |
15-3 Double Integrals over General Regions 15-4 Double Integrals in Polar Coordinates | 線上觀看 | MP4下載 | |
15-6 Surface Area 15-7 Triple Integrals | 線上觀看 | MP4下載 | |
15-7 Triple Integrals 15-8 Triple Integrals in Cylindrical and Spherical Coordinates | 線上觀看 | MP4下載 | |
15-9 Change of Variables in Multiple Integrals Chapter16 Vector Calculus 16-1 Vector Fields | 線上觀看 | MP4下載 | |
16-2 Line Integrals 16-3 The Fundanental Theorem for Line Integrals | 線上觀看 | MP4下載 | |
16-3 The Fundanental Theorem for Line Integrals 16-5 Curl and Divergence | 線上觀看 | MP4下載 | |
16-6 Parametric Surface and Their Areas 16-7 Surface Area 16-8 Stokes Theorem 16-9 The Divergence Theorem | 線上觀看 | MP4下載 |