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Topics covered for 60 Days Crash Course - Mathematical Sciences (English)

Mathematical Sciences

Linear Algebra

Complex Analysis

Preliminaries

Elementary Functions

Analytic Functions

Complex Integration

Applications of Cauchy's Theorem

Laurent Series & Residue Theorem

Harmonic Functions

Riemann Mapping Theorem

Entire and Meromorphic Functions

Analytic Continuation

Ordinary Differential Equation

Differential Equations

Equations of First Order & Degree

Trajectories

Sol. of 1st Order & Higher Degree

Method of Variation of Parameters

Picard’s Method & Existence

Partial Differential Equations

Beta and Gamma Functions

Partial Differential Equation

Linear PDE of Order One

Linear PDE with Constant Coeff.

PDE Reducible to Equations

Analysis

Algebra

Group Theory

Linear Integral Equations

Characteristic Numbers

Calculus of Variations

Boundary Value Problems in PDE

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