Examples in complex analysis (includes a MATLAB and MATHEMATICA example))
Example 1: Compute the integral
where is the curve .
The picture of the curve is shown as follows
The animation below shows the process from t=0 to :
You do not have to plug inin order to solve this problem.
Example 2: Evaluate the contour integral
where is the circle with radius , centered at , oriented counterclockwise for one loop.
Solution 2: Using Matlab, the code is:
Solution 3: Using Mathematica.gives an answer: . Is this correct? What's wrong?
Last modified: Tuesday, 17 September 2019, 1:29 PM