Syllabus

Three 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).

Five Lectures: Evaluation of Real Integrals. ( Read 2D).

Two Lectures: Branch Cuts and Branch Points. (Read 2E).

Five Lectures: Fourier Integrals, Fourier Series, and Laplace transform. (Read 2F and 2G).

Seven Lectures: Laplace Equation, Wave Equation, Heat Equation, and Schrodinger Equation; Green's Functions. (Read Chapter 4 selectively).

Seven Lectures: Separaion of Variables, Eigenfunctions, and Eigenvalues.