Learning forums

Section Forum Description Discussions
Week 1- Complex Numbers and the Complex Plane Discussion Forum 1

Post all your issues below the thread. DO NOT START YOUR OWN DISCUSSION TOPIC. Follow the guidelines by replying to the thread posted in the pinned discussion post.  

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Week 2- Polar Forms , Powers and Roots of Complex Numbers Discussion Forum 2 7
WEEK 3- Complex functions and limits Discussion Forum 3
  • Discuss the meaning of analytic functions and give examples.
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WEEK 4 - Limits, continuity and analytic functions Discussion forum 4
  • Discuss how you would show that a complex valued function is Harmonic.
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WEEK 5 - Analytic functions and Harmonic functions Discussion forum 5

Discuss how you would show that a complex-valued function is Harmonic. You can also upload a file, image or pdf 

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WEEK 6 - Integration in the complex plane Discussion forum
  1. Discuss how you would extend the proof of Cauchy integral formula of a simple pole to apole of order n with n greater than 1 but a positive integer.
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WEEK 7 - Contour Integration and Series Computation of Laurent series
  • Discuss the various techniques that you would use to compute Laurent series including the situations where they are applicable.
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WEEK 8 - Singularities, Residues and the Residue theorem Residue theorem
  • Discuss how you would prove that residue theorem is the same as Cauchy integral theorem for analytic function.
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