Syllabus
Tentative Syllabus:
- Dimensional analysis and scaling
- Differential equations: Uniqueness, existence, and numerical approximations
- Perturbation methods, asymptotic analysis
- Some basics in functional analysis
- Calculus of Variations
- Orthogonal expansions, generalized Fourier series, Sturm-Liouville problems
- Integral equations
- Green's functions
- Distributions and generalized functions
Last Year's Script: Script_MATH46_2020.pdf