Use these formulas to solve at least 5 previous year questions (PYQs) from each section.
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 Mathematics Formula Sheet - CSIR NET Physics
Success in the exam often hinges on how quickly you can solve the "Mathematical Methods" section. It’s the backbone of every other topic, from Classical Mechanics to Quantum. Use these formulas to solve at least 5
Always verify the units/dimensions of your final formula. Special Cases: Memorize the values of and the Dirac Delta properties. Vector Calculus Normal to the surface Divergence (