| Subject | Must-Remember Formula / Theorem | | :--- | :--- | | | det(A - λI) = 0; Cayley-Hamilton: p(A) = 0 | | Real Analysis | Cauchy criterion for uniform convergence | | Complex | Residue theorem: ∮ f(z) dz = 2πi Σ Res(f, z_k) | | ODE | Wronskian test for linear independence | | PDE | Heat Eq: u_t = α u_xx ; Wave Eq: u_tt = c^2 u_xx | | Group Theory | Lagrange: o(G) / o(H) = index | | Numerical | Newton: x_n+1 = x_n - f(x_n)/f'(x_n) |
Why choose the MA paper?
Mathematics offers a high Return on Investment (ROI). A student can master the entire Engineering Mathematics syllabus in roughly 100–120 hours. To secure the same number of marks in core technical subjects, one might require 300+ hours due to the depth and breadth of the topics. Consequently, scoring full marks in the Mathematics section is significantly easier than in technical sections, making it the primary rank booster. gate exam mathematics
A good score (AIR < 200) opens massive doors: | Subject | Must-Remember Formula / Theorem |
Basic concepts of open/closed sets, compactness, and connectedness. To secure the same number of marks in
First-order equations, Laplace transforms, and boundary value problems.