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Physicsium

MATHEMATICAL PHYSICS

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Preparation Toolkit

Syllabus Breakdown

Core Topics

  • >Linear Algebra: Vector space, basis, matrices, eigenvalues, eigenvectors, diagonalization.
  • >Calculus: Partial derivatives, Jacobian, Taylor expansion, Fourier series.
  • >Vector Calculus: Gradient, Divergence, Curl, Line/Surface/Volume integrals, Green/Stokes theorems.
  • >Differential Equations: First/Second order linear EQ, Special functions (Bessel, Legendre).
  • >Complex Analysis: Analytic functions, Cauchy's theorem, Laurent series, Residues.
  • >Transforms: Fourier & Laplace Transforms and their applications.

Study Strategy

Mathematical Physics is the foundation. Focus on Vector Calculus and Differential Equations as they appear in almost every other subject. Matrices and Complex Analysis are high-scoring areas where formula application is key.