課程介紹

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課程目標

學習基本數學方法以應用於解決物理與工程問題

修習條件

主要教本

主要教本:
E. Kreyszig, Advanced Engineering Mathematics, 10th edition, Wiley (2011)

參考書籍:
Hans J. Weber and George B. Arfken, Mathematical Methods For Physicists, 6th edition (2005)

內容大綱

I. Ordinary Differential Equations (ODEs)
(a) First order ODEs (Ch1)
(b) Linear ODEs (Ch2,Ch3)
(C) Series solutions and Special Functions (Ch5)
(d) Laplace Transform (Ch6)

II. Linear Algebra
(a) Matrix Operations & Linear Systems (ch7)
(b) Matrix Eigenvalue Problems (ch8)

III. Vector Calculus
(a) Vector Differential Calculus (ch9)
(b) Vector Integral Calculus (ch10)