Mathematics Formula Sheet - Csir Net Physics Apr 2026

Always verify the units/dimensions of your final formula. Special Cases: Memorize the values of and the Dirac Delta properties.

Use these formulas to solve at least 5 previous year questions (PYQs) from each section. Mathematics Formula Sheet - CSIR NET Physics

To help you save time, we’ve distilled the most frequently tested concepts into this essential formula cheat sheet. 1. Vector Calculus Normal to the surface Divergence ( ): Measure of flux; for solenoidal fields. Curl ( ): Measure of rotation; for conservative fields. Gauss’s Divergence Theorem: Stokes’ Theorem: 2. Matrices and Determinants Eigenvalue Equation: Properties: Sum of Eigenvalues = Trace( Product of Eigenvalues = Determinant( Special Matrices: Hermitian: (Real eigenvalues) Unitary: (Eigenvalues have absolute value 1) Orthogonal: 3. Complex Analysis Cauchy-Riemann Equations: Cauchy’s Integral Formula: Residue at a Pole (order ): Residue Theorem: 4. Differential Equations First Order Linear: Special Functions: Legendre: Solutions to Hermite: Solutions to (Crucial for Harmonic Oscillators). 5. Fourier and Laplace Transforms Fourier Transform: Laplace Transform: Quick Prep Tips Always verify the units/dimensions of your final formula

Don't just memorize; understand the conditions under which these formulas apply (e.g., Cauchy’s Theorem only works for analytic functions). To help you save time, we’ve distilled the