Dr Abhijeet Alase, PhD

Methods of Theoretical Physics I (PHYS 232), Fall 2025

First‑order differential equations, linear and separable equations, integrating factors, applications. Second‑order linear differential equations. Fundamental solutions, linear independence, Wronskian. Nonhomogeneous equations, general solution, method of undetermined coefficients, variation of parameters, applications. Power‑series solutions of differential equations, examples. Systems of first‑order linear equations. Review of linear algebra, diagonalization of matrices, eigenvalues.