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GATE Mathematics(MA) Solutions (Topic-wise & Year-wise)

Handwritten Solution of GATE Mathematics for self preparation. We provide best quality notes for self preparation of GATE Mathematics for those who can not afford coaching. Best way to prepare for GATE 2022 is to do practice of problems from Previous Yr. Questions of GATE Mathematics. Start your preparation of GATE 2022 with P Kalika Notes and make a path to success.

Year-wise Solution

GATE Topic-wise Solution

Buy All PDF Study Materials & Solutions for GATE: Click Here

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GATE-2021 Mathematics(MA) Modified Syllabus (New)

Note: Syllabus of GATE-2021 have been revised. New Syllabus is presented here. (Check Old Syllabus of GATE-2020)

Calculus: Functions of two or more variables, continuity, directional derivatives, partial derivatives, total derivative, maxima and minima, saddle point, method of Lagrange’s multipliers; Double and Triple integrals and their applications to area, volume and surface area; Vector Calculus: gradient, divergence and curl, Line integrals and Surface integrals, Green’s theorem, Stokes’ theorem, and Gauss divergence theorem.

Abstract Algebra: Groups, subgroups, normal subgroups, quotient groups, homomorphisms, automorphisms; cyclic groups, permutation groups, Group action,Sylow’s theorems and their applications; Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domains, Principle ideal domains, Euclidean domains, polynomial rings, Eisenstein’s irreducibility criterion; Fields, finite fields, field extensions,algebraic extensions, algebraically closed fields.

Linear Algebra: Finite dimensional vector spaces over real or complex fields; Linear transformations and their matrix representations, rank and nullity; systems of linear equations, characteristic polynomial, eigenvalues and eigenvectors, diagonalization, minimal polynomial, Cayley-Hamilton Theorem, Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, symmetric, skew-symmetric, Hermitian, skew-Hermitian, normal, orthogonal and unitary matrices; diagonalization by a unitary matrix, Jordan canonical form; bilinear and quadratic forms.

Complex Analysis: Functions of a complex variable: continuity, differentiability, analytic functions, harmonic functions; Complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum modulus principle, Morera’s theorem; zeros and singularities; Power series, radius of convergence, Taylor’s series and Laurent’s series; Residue theorem and applications for evaluating real integrals; Rouche’s theorem, Argument principle, Schwarz lemma; Conformal mappings, Mobius transformations.

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GATE Mathematics(MA) Study Materials & Solutions

GATE2020 Mathematics Detailed Solution: PDF Download Here

GATE Mathematics(MA) Study Materials(View Syllabus)

  1. Abstract: Download Group Theory & Ring Theory
  2. Calculus: Download PDF
  3. Complex Analysis: Download PDF
  4. Functional Analysis: Download PDF
  5. Linear Algebra: Download PDF
  6. LPP With Solution: Download PDF
  7. Numerical Analysis with Sol.: Download PDF
  8. Topology: Download PDF
  9. Ordinary Differential Equations: Download PDF
  10. Partial Differential Equations: Download PDF
  11. Real Analysis: Download PDF
  12. GATE Solution: GATE Problems & Solutions

GATE Statistics(MS) Study materials(Download Syllabus)

  1. Calculus: Download PDF
  2. Linear Algebra: Download PDF
  3. Markov Chain(Only For GATE Statistics): Download PDF
  4. Probability(Only For GATE Statistics): Download PDF

Detailed syllabus for GATE & JAM:
◆◆ GATE Math, ◆◆GATE Statistics, ◆◆ JAM Math, ◆◆JAM Statistics

GATE Mathematics Que Paper+Ans(2020-2010, 187 Pages): Download PDF

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GATE-2020 Mathematics(MA) Detailed Syllabus

Note: Check Here Latest Syllabus of GATE-2021

Calculus: Finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property; Sequences and series, convergence; Limits, continuity, uniform continuity, differentiability, mean value theorems; Riemann integration, Improper integrals; Functions of two or three variables, continuity, directional derivatives, partial derivatives, total derivative, maxima and minima, saddle point, method of Lagrange’s multipliers; Double and Triple integrals and their applications; Line integrals and Surface integrals, Green’s theorem, Stokes’ theorem, and Gauss divergence theorem.

Abstract Algebra: Groups, subgroups, normal subgroups, quotient groups, homomorphisms, automorphisms; cyclic groups, 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.

Linear Algebra: Finite dimensional vector spaces over real or complex fields; Linear transformations and their matrix representations, rank and nullity; systems of linear equations, eigenvalues and eigenvectors, minimal polynomial, Cayley-Hamilton Theorem, diagonalization, Jordan canonical form, symmetric, skew-symmetric, Hermitian, skew-Hermitian, orthogonal and unitary matrices; Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, definite forms.

Complex Analysis: Analytic functions, harmonic functions; Complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum modulus principle, Morera’s theorem; zeros and singularities; Power series, radius of convergence, Taylor’s theorem and Laurent’s theorem; residue theorem and applications for evaluating real integrals; Rouche’s theorem, Argument principle, Schwarz lemma; conformal mappings, bilinear transformations.

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GATE(MA) Problems & Solutions

Collection of GATE Maths Paper(2020-2010, 187 Pages): Download PDF
Year-wise Solution
GATE-2020 Complete: Download PDF
GATE-2019 Complete: Download PDF
OR, GATE 2019 & 2018  Solution: Buy Now

Topic-wise Solution(Under Process)

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