On successful completion of the module, students should be able to:
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Differentiate and integrate functions of a complex variable.
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Define the exponential, logarithmic and trigonometric functions.
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State and prove Cauchy's integral formula and theorem.
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Evaluate contour integrals.
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Define and identify the types of singularities.
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Test for the analyticity of a given function.
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Prove simple analytic statements using rigorous arguments.
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Use the methods from the course to solve problems. State definitions and theorems covered in the course.