Complex variables
A 9-module path through complex variables, in study order from foundations to the frontier.
Modules
- Complex functions, limits, and continuity
- Differentiability and Cauchy-Riemann equations
- Line integrals in the complex plane
- Cauchy integral theorem and path independence
- Cauchy integral formula and derivatives
- Taylor and Laurent series
- Zeros, singularities, and residues
- Residue theorem and real integrals
- Final synthesis workshop