Syllabus
- Two Lectures: Operators and Ordinary Differential Equations. (Read Chapter 1).
- Two lectures: Complex Numbers, Analytic Functions, Cauchy--Riemann Equations. ( Read 2A and 2B).
- Two lectures: Cauchy Integral Theorem, Taylor Series, Laurent Series. ( Read 2C).
- Three lectures: Evaluation of Real Integrals. ( Read 2D).
- Two lectures: Branch Cuts and Brabch Points. (Read 2E).
- Four lectures: Fourier Integrals, Fourier Series, and Laplace transform. (Read 2F and 2G).
- Four lectures: Eigenfunctions, and Eigenvalues. (Read Chapter 4 selectively).
- Eight lectures: Laplace Equation, Schrodinger Equation, Wave Equation, Separation of variables varaiables (Read Chapter 5).