GATE Mathematics 2023 Application Form for exam can be filled till 30th September 2022. Apply Online for This Exam and the Admit Card is Released soon. Eligibility Criteria for this exam is that the candidate must be a citizen of India. The candidate's age should be No Age Limit. Government Jobs Seekers, who Looking for Govt Jobs 2023 in India to get Latest Government Jobs Recruitment / Vacancies completely published in this portal.
| Events | Dates |
| Release of GATE notification 2023 | July 27, 2022 |
| GATE 2023 registration start date | August 30, 2022 (Started) |
| GATE registration 2023 last date | September 30, 2022 |
| GATE 2023 registration last date with late fee | October 7, 2022 |
| GATE application form correction date November | 4 to 11, 2022 |
| GATE admit card release date | January 3, 2023 |
| GATE 2023 Exam Date | February 4, 5, 11 and 12, 2023. |
| Release of GATE response sheets | February 15, 2023 |
| GATE answer key release date | February 21, 2023 |
| GATE 2023 answer key challenge date | February 22 to 25, 2023 |
| Graduate Aptitude Test in Engineering result date | March 16, 2023 |
| Availability of scorecard | March 21, 2023 |
| Topics | Details |
| Verbal Aptitude | 1. Basic English grammar 2. Tenses 3. Articles 4. Adjectives 5. Prepositions 6. Conjunctions 7. Verb-noun agreement and other parts of speech 8. Basic vocabulary 9. Words 10. Idioms 11. Phrases in context 12. Reading and comprehension 13. Narrative sequencing |
| Quantitative Aptitude | 1. Data interpretation 2. Data graphs (bar graphs, pie charts, and other graphs representing data) 3. 2- and 3-dimensional plots 4. Maps 5. Tables 6. Numerical computation and estimation 7. Ratios 8. Percentages 9. Powers 10. Exponents and logarithms 11. Permutations and combinations 12. Series 13. Mensuration and geometry 14. Elementary statistics 15. Probability |
| Analytical Aptitude | 1. Logic: deduction and induction 2. Analogy 3. Numerical relations and reasoning |
| Spatial Aptitude | 1. Transformation of shapes 3. Translation 4. Rotation 5. Scaling 6. Mirroring 7. Assembling 8. Grouping 9. Paper folding 10. Cutting 11. Patterns in 2 and 3 dimensions |
| Topics | Details |
| Linear Algebra | Finite dimensional vector spaces; Linear transformations and their matrix representations, rank; systems of linear equations, eigenvalues and eigenvectors, minimal polynomial, Cayley-Hamilton Theorem, diagonalization, Jordan-canonical form, Hermitian, Skew-Hermitian and unitary matrices; Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, self-adjoint operators, definite forms. |
| Complex Analysis | Analytic functions, conformal mappings, bilinear transformations; complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum modulus principle; Zeros and singularities; Taylor and Laurent’s series; residue theorem and applications for evaluating real integrals. |
| Real Analysis | Sequences and series of functions, uniform convergence, power series, Fourier series, functions of several variables, maxima, minima; Riemann integration, multiple integrals, line, surface and volume integrals, theorems of Green, Stokes and Gauss; metric spaces, compactness, completeness, Weierstrass approximation theorem; Lebesgue measure, measurable functions; Lebesgue integral, Fatou’s lemma, dominated convergence theorem. |
| Ordinary Differential Equations | First order ordinary differential equations, existence and uniqueness theorems for initial value problems, systems of linear first order ordinary differential equations, linear ordinary differential equations of higher order with constant coefficients; linear second order ordinary differential equations with variable coefficients; method of Laplace transforms for solving ordinary differential equations, series solutions (power series, Frobenius method); Legendre and Bessel functions and their orthogonal properties. |
| Algebra | Groups, subgroups, normal subgroups, quotient groups and homomorphism theorems, automorphisms; cyclic groups and permutation groups, Sylow’s theorems and their applications; Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domains, Principle ideal domains, Euclidean domains, polynomial rings and irreducibility criteria; Fields, finite fields, field extensions. |
| Functional Analysis | Normed linear spaces, Banach spaces, Hahn-Banach extension theorem, open mapping and closed graph theorems, principle of uniform boundedness; Inner-product spaces, Hilbert spaces, orthonormal bases, Riesz representation theorem, bounded linear operators. |
| Numerical Analysis | Numerical solution of algebraic and transcendental equations: bisection, secant method, Newton-Raphson method, fixed point iteration; interpolation: error of polynomial interpolation, Lagrange, Newton interpolations; numerical differentiation; numerical integration: Trapezoidal and Simpson rules; numerical solution of systems of linear equations: direct methods (Gauss elimination, LU decomposition); iterative methods (Jacobi and Gauss-Seidel); numerical solution of ordinary differential equations: initial value problems: Euler’s method, Runge-Kutta methods of order 2. |
| Partial Differential Equations | Linear and quasilinear first order partial differential equations, method of characteristics; second order linear equations in two variables and their classification; Cauchy, Dirichlet and Neumann problems; solutions of Laplace, wave in two dimensional Cartesian coordinates, Interior and exterior Dirichlet problems in polar coordinates; Separation of variables method for solving wave and diffusion equations in one space variable; Fourier series and Fourier transform and Laplace transform methods of solutions for the above equations. |
| Topology | Basic concepts of topology, bases, subbases, subspace topology, order topology, product topology, connectedness, compactness, countability and separation axioms, Urysohn’s Lemma. |
| Probability and Statistics | Probability space, conditional probability, Bayes theorem, independence, Random variables, joint and conditional distributions, standard probability distributions and their properties (Discrete uniform, Binomial, Poisson, Geometric, Negative binomial, Normal, Exponential, Gamma, Continuous uniform, Bivariate normal, Multinomial), expectation, conditional expectation, moments; Weak and strong law of large numbers, central limit theorem; Sampling distributions, UMVU estimators, maximum likelihood estimators; Interval estimation; Testing of hypotheses, standard parametric tests based on normal, , , distributions; Simple linear regression. |
It is recommended that applicants review the full exam pattern before taking the GATE MA Exam 2022. It will aid applicants in gaining a fundamental understanding of the structure of the exam paper.
|
Particulars |
Details |
|
Exam Duration |
3 hours |
|
Exam Mode |
Online (computer based exam) |
|
Type of Questions |
MCQ and NAT |
|
Total number of Questions |
65 |
|
Total Marks |
100 |
The number of sections on the question paper, the marking system, the sectional weightage, the time limit, and many other factors can all be understood by candidates by understanding the exam format. Furthermore, candidates need to understand the marking scheme in order to perform well on the exam. Here, a table with the section-by-section marking guidelines is provided.
|
Section |
Question type |
Total Marks |
Marks Distribution |
Negative marking |
|
General Aptitude Exam |
MCQ |
15 |
|
— |
|
Mathematics |
MCQs & NATs |
85 |
|
No negative marking |
| Category | Amount | Late Fees |
| Male (General, OBC and Others) | Rs. 1,700 | Rs. 2,200 |
| SC/ ST/ PwD | Rs. 850 | Rs. 1,350 |
| Female candidates | Rs. 850 | Rs. 1,350 |
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