Homepage » 課程專區 » 理學院 » 應用數學系 » 微積分(二) Calculus II | 應用數學系 莊重老師 » 12.3 The Dot Product
| 週次 | 課程內容 | 課程影音 |
|---|---|---|
| 第十一章 Infinite Sequences and Series 11.1 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 Tests | 線上觀看 | |
| 11.5 Alternating Series | 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 | 線上觀看 | |
| 11.10 Taylor and Maclaurin Series | 線上觀看 | |
| 11.11 The Binomial Series | 線上觀看 | |
| 第11章 課程回顧 | 線上觀看 | |
| 第十二章 Vectors and the Geometry of Space 12.1 Three-Dimensional Coordinate Systems | 線上觀看 | |
| 12.2 Vectors | 線上觀看 | |
| 12.3 The Dot Product | 線上觀看 | |
| 12.4 The Cross Product 勘誤:影片37:16秒之手稿上方處應為 1/2|PQxPR| = (5/2)√82 | 線上觀看 | |
| 12.5 Equations of Lines and Planes | 線上觀看 | |
| 12.6 Cylinders and Quadric Surface | 線上觀看 | |
| 12.7 Cylindrical and Spherical Coordinates | 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 | 線上觀看 | |
| 13.3 Arc Length And Curvature | 線上觀看 | |
| 第十四章 Partial Derivatives 14.1 Functions of Several Variables | 線上觀看 | |
| 14.2 Limits and Continuity | 線上觀看 | |
| 14.3 Partial Derivatives | 線上觀看 | |
| 14.4 Tangent Planes and Linear Approximations | 線上觀看 | |
| 14.5 The Chain Rule | 線上觀看 | |
| 14.6 Directional Derivatives and the Gradient Vector | 線上觀看 | |
| 14.7 Maximum and Minimum Values | 線上觀看 | |
| 14.8 Lagrange Multipliers | 線上觀看 | |
| 第十五章 Multiple Integrals 15.1 Double Integrals over Rectangles | 線上觀看 | |
| 15.2 Iterated Integrals | 線上觀看 | |
| 15.3 Double Integrals over General Regions | 線上觀看 | |
| 15.4 Double Integrals in Polar Coordinates | 線上觀看 | |
| 15.6 Surface Area | 線上觀看 | |
| 15.7 Triple Integrals | 線上觀看 | |
| 15.8 Triple Integrals in Cylindrical and Spherical Coordinates | 線上觀看 | |
| 15.9 Change of Variables in Multiple Integrals | 線上觀看 | |
| Sterling Formula | 線上觀看 |