Teaching
Course Information ECE-306:
- Course Documents
- Lecture Topics
- Basic properties of complex numbers, geometric representation, polar form, complex exponentials, powers and roots, elementary mappings. (Sections 1.1-1.6)
- Functions of a Complex Variable: analytic functions, Cauchy-Riemann equations, Harmonic functions, some special functions such trigonometric functions. (Sections 2.1-2.6, 3.1 and 3.2)
- Multivalued functions, inverse functions, and branch cuts. The Logarithm function. (Sections 3.3-3.5)
- Contour integration. Cauchy's integral theorem, path independence. (Sections 4.1-4.7)
- Laurent series, singularities, poles and residue Calculus. (Sections 5.5-5.7, 6.1-6.5)
- Fourier transform integrals. (Section 8.1 and 8.2)
- Laplace transform integrals, integrals of multivalued functions, Nyquist criteria and applications. (Section 8.3)
- Please read Sections 1.1, 1.2, and 1.3 of Chapter 1 of the recommended textbook
- Sections 1.7 of Chapter 1
- Sections 2.6 and 2.7 of Chapter 2
- Sections 3.6 of Chapter 3
- Homework-1
- Homework-2
- Homework-3
- Homework-4
- Homework-5
- Homework-6
- Homework-7
- Solution-1
- Solution-2
- Solution-3
- Solution-4
- Solution-5
- Solution-6
- Solution-7