Lectures

• Vectors and Tensors
• ODEs-Review
• ODE-Power Series Solutions
• Matrices-Eigenvalues&Eigenvectors
• Green Functions
• Fourier Series-Sturm Liouville Problems 
• Non-homogeneous Sturm Liouville Problems  
• Phase Plane Methods for Second Order ODE
• Perturbation Methods in ODEs
• Irregular Singular Points in ODEs
• Fourier & Laplace Transforms
• First Order PDEs
• Second Order Linear PDE
• PDE in Infinite Domains
• Functions of Complex Variables
• Conformal Mapping
• Complex Integral Calculus
• Taylor and Laurent Series
• Singularities and Residue Theorem

Homework

• Homework 1
• Homework 2
• Homework 3
• Homework 4
• Homework 5
• Homework 6
• Homework 7
• Homework 8
• Homework 9
• Homework 10