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This is a question bank from a complex variables and partial differential equations (CVPDE) course. It includes topics like:

1. **Complex Numbers** (finding real and imaginary parts, polar form, roots of complex numbers)
2. **Continuity and Differentiability** of functions
3. **Harmonic Functions** (and finding harmonic conjugates)
4. **Bilinear (or Möbius) Transformations** (mapping points and finding fixed points)
5. **Complex Integration** (evaluating integrals along contours in the complex plane)

To provide complete solutions, I'll start with question-by-question solutions and explanations.

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Would you like detailed solutions for each question one at a time, or a summary for specific topics?

Explore detailed solutions for the B.Tech 3rd semester CVPDE question bank. This covers key complex analysis topics, including complex numbers, continuity, differentiability, harmonic functions, bilinear transformations, and complex integration. Ideal for engineering students.

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