課程目標
1 能計算不定積分與定積分及了解定積分的應用。
2 函數的級數表示法及斂散性。
3 能計算多變數函數的偏導數及了解相關應用。
4 能計算多重積分及了解其應用。
授課教師
林皙晧
應用數學系 助理教授
課程進度表
6.1 Area Between Curves
6.2 Volumes
6.3 Volumes by Cylindrical Shells
7.1 Integration by parts
7.2 Trigonometric integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.7 Improper Integrals
10.2 Series
10.8 Power Series
10.9 Representations of Functions as Power Series
10.10 Taylor and Maclaurin Series
12.3 Partial Derivatives
12.4 Tangent Planes and Linear Approximations
12.5 The Chain Rule
12.6 Directional Derivatives and the Gardient Vector
12.7 Maximum and Minimum Values
12.8 Lagrange Multipliers
13.1 Double Integrals over Rectangles
13.2 Double Integrals over General Regions
13.3 Double Integrals in Polar Coordinates
13.5 Triple Integrals
13.6 Triple Integrals in Cylindrical Coordinates
13.7 Triple Integrals in Spherical Coordinates
13.8 Change of Variables in Multiple Integrals
評分標準
Ø 小考兩次(每次15%)30%
Ø 期中考25%
Ø 期末考25%
Ø 平時成績20%
主要參考書籍/資料
無