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微積分甲(二)––李榮耀
回目錄
ch10 參數方程和極座標 Parametric Equations and Polar Coordinates
10-3 極座標 Polar Coordinates
本章題目:5, 9, 11, 17, 25, 27, 33, 37, 49, 61
10-4 Areas and Lengths in Polar Coordinates
ch11 數列與級數 Infinite Sequences and Series
11-1 Sequences
題目:1, 5, 17, 25, 29, 35, 39, 43, 45, 49, 53, 69, 73, 77, 79, 81, 83, 91
ch12 向量及空間中的圖形 Vectors and the Geometry of Space
12-4 外積 the Cross Product
本章勾的題目:3, 7, 9, 11, 13, 19, 29, 31, 33, 35, 53
12-5 三維線與面的方程式 Equations of Lines and Planes
直線的表示方法
參數方程式 parametric equations ( <a,b,c> 是方向向量 )

對稱方程式 symmetric equations ( <a,b,c> 是方向向量 )

用兩個vector來表示 (通過r0和r1這兩個vector終點的直線)
平面的表示方法
Scalar Equation ( <a,b,c> 是法向量 )

Linear Equation ( <a,b,c> 是法向量 )

點到平面的距離
12-6 二次曲面 Cylinders and Quadric Surfaces
ch14 Partial Derivatives
14-1 Functions of Several Variables
題目:15, 19, 21, 25, 29, 31, 39, 43, 47, 51, 65, 67, 69
14-2 Limits and Continuity
題目:5, 9, 13, 17, 21, 25, 31, 35, 37, 39, 41
14-3 偏導數 Partial Derivatives
題目:5, 7, 9, 11, 17, 21, 29, 33, 37, 41, 43, 45, 47, 49, 51, 53, 57, 59, 65, 67, 69, 95, 101(b,c,d)
14-4 切平面和線性化函數 Tangent Planes and Linear Approximations
題目:1, 3, 5, 11, 13, 17, 19, 21, 25, 31, 33, 35, 43
14-5 鏈索律 The Chain Rule
題目:3, 5, 7, 9, 11, 17, 19, 21, 25, 27, 29, 33, 47, 51