12.7 Cylindrical and Spherical Coordinates

週次課程內容課程影音
第十一章 Infinite Sequences and Series
11.1 Sequences
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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
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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
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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
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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
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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
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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