课程名称︰工程数学下
课程性质︰机械系大二必修
课程教师︰萧浩明
开课学院：工学院
开课系所︰机械系
考试日期（年月日）︰107/6/6
考试时限（分钟）：60 min
试题 :
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. │