課程名稱︰工程數學下
課程性質︰機械系大二必修
課程教師︰蕭浩明
開課學院：工學院
開課系所︰機械系
考試日期（年月日）︰107/6/6
考試時限（分鐘）：60 min
試題 :
1. Derive the Cauchy-Riemann equation in the polar coordinate (r,Θ). (20%)
Given that r = √(x^2+y^2), Θ= tan^-1(y/x), ∂Θ/∂x = -sinΘ/r,
∂Θ/∂y = cosΘ/r.
2. Calculate the residue of f(z) = cot(z) at z = ±nπ, n = 0,1,2,... (20%)
╭ -e^z
3. │