GATE Mathematics (MA)
Paper pattern
Mathematics — discipline chapters
- Calculus of Several Variables and Vector Calculus
- Vector Spaces, Linear Maps, Eigenvalues and the Minimal Polynomial
- Inner Product Spaces, Special Matrices, the Jordan Form and Quadratic Forms
- Metric Spaces: Completeness, Compactness, Connectedness, Baire and Contractions
- Sequences and Series of Functions, Power Series, and the Inverse and Implicit Function Theorems
- Lebesgue Measure and Integration, the Convergence Theorems and Lp Spaces
- Analytic Functions, Cauchy’s Theorem and Formula, and Power Series
- Singularities, Residues, Rouché, the Argument Principle and Conformal Maps
- First-Order Theory, Linear Equations and the Laplace Transform
- Series Solutions, Legendre and Bessel Functions, Systems, Sturm Theory and Stability
- Groups: Homomorphisms, Permutations, Group Actions and the Sylow Theorems
- Rings, Ideals, Factorisation Domains, Polynomials and Fields
- Functional Analysis: Banach Spaces, the Four Big Theorems, Hilbert Spaces and the Spectral Theorem
- Numerical Analysis: Linear Systems, Non-linear Equations, Interpolation, Quadrature and IVPs
- Partial Differential Equations: Characteristics, Classification, and the Laplace, Heat and Wave Equations
- Topology: Bases, Constructions, Connectedness, Compactness and the Separation Axioms
- Linear Programming: Simplex, Duality, Transportation and Assignment
Frequently asked questions
Is this GATE Mathematics material free?
Yes. Every chapter is free to read in English and Hindi. A free account adds scored practice, the full-length MA mock test in the real 65-question pattern, and the AI mentor.
How much of the GATE MA syllabus is covered?
The whole paper: 17 chapters across all 11 of its sections. General Aptitude is shared by every paper.
What is the GATE exam pattern?
65 questions for 100 marks in 180 minutes: General Aptitude for 15 marks and the paper for 85. A wrong MCQ costs a third of its marks; MSQ and NAT questions carry no negative marking.
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