GATE MATHEMATICS COACHING
GATE MATHEMATICS COACHING :-We At CSR Mathematics Have Constantly Been Producing Top Ranker And Scholarship Holders In Exams Like IAS, CSIR UGC NET/JRF Mathematics, GATE Maths, IIT-JAM Mathematics, MSc/BSc Maths Entrance, TIFR, DRDO, BARC, JNU Ph.D.
GATE MATHEMATICS COACHING
Important Dates
What is new in GATE 2019?
Important Dates
GATE Online Application Processing System (GOAPS) Website Opens | Saturday | 1^{st} September 2018 | |
Closing Date for Submission of (Online) Application | Friday | 21^{st} September 2018 | |
Extended Closing Date for Submission of (Online) Application | Monday | 1^{st} October 2018 | |
Last Date for Requesting Change of Examination City (an additional fee will be applicable) | Friday | 16^{th} November 2018 | |
Admit Card will be available in the Online Application Portal (for printing) | Friday | 4^{th} January 2019 | |
GATE 2019 Examination |
Forenoon
9:30 AM to 12:30 Noon (Tentative) Afternoon 2:30 PM to 5:30 PM (Tentative) |
Saturday Sunday |
2^{nd} February 2019 3^{rd} February 2019 |
Saturday Sunday |
9^{th} February 2019 10^{th} February 2019 |
||
Announcement of the Results in the Online Application Portal | Saturday | 16^{th} March 2019 |
GATE SYLLABUS AND RECOMMENDED BOOKS BY CSR MATHEMATICS
GATE MATHEMATICS COACHING
GENERAL APTITUDE (GA)
(Common to all papers)
GATE MATHEMATICS COACHING
Verbal Ability-
English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.
Numerical Ability-
Numerical computation, numerical estimation, numerical reasoning and data interpretation.
Mathematics (MA)
Linear Algebra-
Finite dimensional vector spaces; Linear transformations and their matrix representations, rank; systems of linear equations, eigen values and eigen vectors, minimal polynomial, Cayley-Hamilton Theroem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices; Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, self-adjoint operators.
(CSR RECOMMENDED BOOKS)
Linear Algebra -Schaum’s Series -(Tata McGraw-Hill Publication)Linear Algebra -Kenneth M Hoffman Ray Kunzet(PHI Publication)Linear Algebra -Vivek Sahai, Vikas Bist(Narosa Publication)
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, completeness, Weierstrass approximation theorem, compactness; Lebesgue measure, measurable functions; Lebesgue integral, Fatou’s lemma, dominated convergence theorem.
(CSR RECOMMENDED BOOKS)
Principle of Mathematical Analysis -S.L. Gupta, N.R. Gupta(Pearson Publication)Real Analysis -Robert G Bartle(Wiley Publication)Real Analysis -M.D. Raisinghania(S. Chand Publication)
Complex Analysis-
Analytic functions, conformal mappings, bilinear transformations; complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum modulus principle; Taylor and Laurent’s series; residue theorem and applications for evaluating real integrals.
(CSR RECOMMENDED BOOKS)
Complex Variables -H.S. Kasana(PHI Publication )Complex Analysis -S Ponnusamy(Narosa Publication)Complex Analysis -R.V. Churchill(Tata McGraw – Hill Publication.gate maths coaching
Algebra-
Normal subgroups and homomorphism theorems, automorphisms; Group actions, Sylow’s theorems and their applications; Euclidean domains, Principle ideal domains and unique factorization domains. Prime ideals and maximal ideals in commutative rings; Fields, finite fields.
(CSR RECOMMENDED BOOKS)
Contemporary Abstract Algebra -Joseph A. Gallian(Narosa Publication )Modren Algebra -Surjeet Singh and Qazi Zameeruddin(Vikas Publication)gate maths coaching
Ordinary Differential Equations-
First order ordinary differential equations, existence and uniqueness theorems, 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; Legendre and Bessel functions and their orthogonality.
(CSR RECOMMENDED BOOKS)
Ordinary Differential Equations -MD Rai Singhania( S.Chand Publication )Differential Equations -Shepley L. Ross(Wiley Publication )Differential Equations -Earl Codington(PHI Publication )gate maths coaching
Functional Analysis-
Banach spaces, Hahn-Banach extension theorem, open mapping and closed graph theorems, principle of uniform boundedness; Hilbert spaces, orthonormal bases, Riesz representation theorem, bounded linear operators.
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 and diffusion equations in two variables; Fourier series and Fourier transform and Laplace transform methods of solutions for the above equations.
(CSR RECOMMENDED BOOKS)
Partial Differential Equations -T. Amaranath(Narosa Publication )Introduction To Partial Differential Equations -K. Sankara Rao(PHI Publication.gate maths coaching
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, Gauss Legendre quadrature, method of undetermined parameters; least square polynomial approximation; numerical solution of systems of linear equations: direct methods (Gauss elimination, LU decomposition); iterative methods (Jacobi and Gauss-Seidel); matrix eigenvalue problems: power method, numerical solution of ordinary differential equations: initial value problems: Taylor series methods, Euler’s method, Runge-Kutta methods.
(CSR RECOMMENDED BOOKS)
Numerical Analysis -R.K. Jain, S.R.K. Iyengar(New Age Publication)gate maths coaching
Topology-
Basic concepts of topology, product topology, connectedness, compactness, countability and separation axioms, Urysohn’s Lemma.
(CSR RECOMMENDED BOOKS)
Topology -K. D. Joshi(New Age International Publication)gate maths coaching
Mechanics-
Virtual work, Lagrange’s equations for holonomic systems, Hamiltonian equations.
Probability and Statistics-
Probability space, conditional probability, Bayes theorem, independence, Random variables, joint and conditional distributions, standard probability distributions and their properties, expectation, conditional expectation, moments; Weak and strong law of large numbers, central limit theorem; Sampling distributions, UMVU estimators, maximum likelihood estimators, Testing of hypotheses, standard parametric tests based on normal, X2 , t, F – distributions; Linear regression; Interval estimation.gate maths coaching
(CSR RECOMMENDED BOOKS)
Probablity and statistics-S. C. Gupta and V. K. Kapoor(S.Chand Publication )
Calculus of Variation and Integral Equations-
Variation problems with fixed boundaries; sufficient conditions for extremum, linear integral equations of Fredholm and Volterra type, their iterative solutions.
Linear programming-
Linear programming problem and its formulation, convex sets and their properties, graphical method, basic feasible solution, simplex method, big-M and two phase methods; infeasible and unbounded LPP’s, alternate optima; Dual problem and duality theorems, dual simplex method and its application in post optimality analysis; Balanced and unbalanced transportation problems, u -v method for solving transportation problems; Hungarian method for solving assignment problems.
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