Introduction to complex analysis
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Course learning outcomes
After studying this course, you should be able to:
Use the definition of derivative to show that a given function is or is not differentiable at a point
Use the Cauchy–Riemann equations to show that a function is or is not differentiable at a point
Interpret the derivative of a complex function at a point as a rotation and a scaling of a small disc
Appreciate how complex integrals can be defined by analogy with real integrals
Define the integral of a complex function along a contour and evaluate such integrals
State and use several key theorems to evaluate contour integrals.
