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Basic Concept: General definition of partial differential equation, Classification, Sources, Solution. Fist order partial differential equation: Linear and…
Inner product space and examples; solving ODEs with variable coefficients by power series method; Adjoint operators; turm-liouville theory; Orthogonal polynomials and special functions;…
Sequences, infinite series, Convergence tests: Comparison, limit comparison, ratio, root, alternating series tests, Power series (radius and interval of convergence), Taylor and Maclaurin…


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