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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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CSIR-NET (Maths) Topic-wise & Year-wise Solutions

Handwritten Solutions of CSIR-NET Mathematics Prev. Yr. Que. Papers (Upto November-2020) is available here. Very very helpful in preparation of CSIR-NET, SET, GATE, PSC, …. and other equivalent exams. Self preparation materials(No need of any coaching).

Note: CSIR NET(JRF) Exam of June-2020 has been done in Nov-2020 and Exam for Dec-2020 and June-2021 still not held and also no any information out.

  1. Sol. of Linear algebra(Upto Nov-2020, Pages:205): Download PDF
  2. Sol. of Abstract algebra(Upto Nov-2020, Pages:107): Download PDF
  3. Sol. of Real Analysis(Upto Nov-2020, Pages:210): Download PDF
  4. Sol. of Complex Analysis(Upto June-2020, Pages:118): Download PDF
  5. Sol. of NT, NA, LPP & DS (Upto 2021, Pages:118)Download PDF
  6. Sol. of ODE, PDE, IE & COV(Upto Nov 2020, Pages:205): Download PDF
  7. Combined Solutions (All above Sr. No. 1 – 6): Click Here

CSIR-NET Year wise Complete Solution

  1. CSIR-NET 26 Nov 2020: Download Here
  2. CSIR-NET Dec-2019: Download Here
  3. CSIR-NET June-2019: Download PDF
  4. CSIR-NET Dec-2018: Download PDF
  5. CSIR-NET June-2018: Download PDF
  6. Combined Solutions of 2017D, 2018J, 2018D, 2019J, 2019D & 2020Nov Download Here
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CSIR-NET Mathematics Details Syllabus

CSIR-UGC National Eligibility Test (NET) for JRF & Lecturer-ship
Common Syllabus for PART ‘B’ AND ‘C’

UNIT – 1
Analysis: Elementary set theory, finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, supremum, infimum.
Sequences and series, convergence, limsup, liminf. Bolzano Weierstrass theorem, Heine Borel theorem. Continuity, uniform continuity, differentiability, mean value theorem.
Sequences and series of functions, uniform convergence. Riemann sums and Riemann integral, Improper Integrals. Monotonic functions, types of discontinuity, functions of bounded variation, Lebesgue measure, Lebesgue integral.
Functions of several variables, directional derivative, partial derivative, derivative as a linear transformation, inverse and implicit function theorems.
Metric spaces, compactness, connectedness. Normed linear Spaces. Spaces of continuous functions as examples.

Linear Algebra: Vector spaces, subspaces, linear dependence, basis, dimension, algebra of linear transformations.
Algebra of matrices, rank and determinant of matrices, linear equations. Eigenvalues and eigenvectors, Cayley-Hamilton theorem. Matrix representation of linear transformations. Change of basis, canonical forms, diagonal forms, triangular forms, Jordan forms. Inner product spaces, orthonormal basis.
Quadratic forms, reduction and classification of quadratic forms

UNIT – 2
Abstract Algebra: Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle, derangements. Fundamental theorem of arithmetic, divisibility in Z, Number Theory: Congruences, Chinese Remainder Theorem, Euler’s Ø- function, primitive roots.
Groups, subgroups, normal subgroups, quotient groups, homomorphisms, cyclic groups, permutation groups, Cayley’s theorem, class equations, Sylow theorems.
Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domain, principal ideal domain, Euclidean domain. Polynomial rings and irreducibility criteria.
Fields, finite fields, field extensions, Galois Theory.

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Free Maths Handwritten Study Materials (Donated)

To help students for their academics and competitive exams, we have started ‘Let’s Do’ Program in which anyone can take Notes FREELY and anyone can contribute*.

The following mathematical notes are contributed by students(mentioned below). These notes are available on FREE OF COST, You may download and share them.

We encourage you (BSc/MSc Students) to contribute your notes (Only scanned, Not hardcopy), your little contribution can help many people. Those who wish to contribute can send scanned notes on maths.whisperer@gmail.com.

(Notes are arranged in Alphabetical order(A-Z) )

  1. Classical Mechanics (New): Download PDF
    • (by  Rakhee Kumari, MSc, CUJ)
  2. Linear Algebra: Download PDF
    • (by  M. Sarojini, MSc, CUJ)
  3. Metric Space: Download PDF
    • (by  M. Sarojini, MSc, CUJ)
  4. Number Theory: Download PDF
    • (by  M. Sarojini, MSc, CUJ)
  5. Probability & Statistics: Download PDF
    • (by  M. Sarojini, MSc, CUJ)
  6. Real Analysis
    • Sequence(by Laxmi, MSc, Ranchi Univ.): Download PDF
    • Sequence, Series & Uniform Continuity(Rahul Anand, MSc, NIT Jalandhar): Download PDF
    • Point set Topology(Rahul Anand, MSc, NIT Jalandhar): Download PDF
  7. Ring Theory(Rahul Anand, MSc, NIT Jalandhar)Download PDF
  8. Free Study Materials(by P Kalika): Download Here

*Term & conditions for Contribution

  1. Notes will be Scanned in PDF Format
  2. Writing Should be Clear/Clean
  3. No Copyright Materials
  4. Only Notes Related to Mathematics
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CSIR NET Previous Yr. Que. Papers

FREE PDF Download Question Papers of CSIR-NET (Mathematical Science) year-wise upto 2020 (Latest).

  1. Nov-2020 (Que.+Ans, 26 Nov): Download PDF
  2. Dec-2019 (Que. Paper+Key): Download PDF
  3. Dec-2019(Assam)(Que. Paper+Key): Download PDF 
  4. June-2019 (Que. Paper+Key): Download PDF
  5. Dec-2018 (Que. Paper+Key): Download PDF
  6. June-2018 (Que. Paper+Key): Download PDF
  7.  Dec-2017 (Que. Paper+Key): Download PDF
  8. June-2017 (Que. Paper+Key): Download PDF
  9. Dec-2016 (Que. Paper+Key): Download PDF
  10. June-2016 (Que. Paper+Key): Download PDF
  11. Dec-2015 (Que. Paper+Key): Download PDF
  12. June-2015 (Que. Paper+Key): Download PDF
  13. Dec-2014 (Que. Paper): Download PDF
  14. June-2014 (Que. Paper+Key): Uploading Soon
  15. Dec-2013 (Que. Paper): Download PDF
  16. June-2013 (Que. Paper+Key): Download PDF
  17. Dec-2012(Que. Paper+Key): Download PDF
  18. June-2012 (Que. Paper+Key): Download PDF
  19. CSIR-NET June-2011: Download PDF
  20. CSIR-NET Dec-2011: Download PDF
  21. CSIR-NET 2008:  Download Paper-1 and Download Paper-2

CSIR NET Mathematical Science Syllabus: Download Syllabus

CSIR-NET Solutions(Upto 2020 June): Click Here

GATE Maths Solution(Upto 2021): Click Here

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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

Similar Pages:


Markov Chain (Statistics)

Markov Chain (with solution)

Note: Every yr. 2~3 Questions came in CSIR-NET Exam, So it is important for NET (Marks: 03~12.50). Also easy to understand by putting a little effort. (Check Sample PDF)

No. of Pages: 61

Updated On: July 2021

Similar Pages:

  1. Fast Revision Notes for CSIR-NET, GATE, JAM & SET exam
  2. CSIR-NET (Maths) Topic-wise & Year-wise Solutions
  3. CSIR-NET, GATE, SET All Notes PDF Center
  4. Book Suggestions for Higher Mathematics
  5. Probability and Statistics
  6. Free Maths Study Materials by P Kalika


Mathematics topic-wise Solutions

Solutions of CSIR-NET Mathematics Prev. Yr. Papers(Upto Dec-2019) is available here:-

  1. Solution of NT, NA, LPP & DS(Upto Dec-2019): Download PDF
  2. Solution of Complex Analysis(Upto Dec-2019): Download PDF
  3. Solution of Linear algebra(Upto Dec-2019): Download PDF
  4. Solution of Abstract algebra(Upto Dec-2019): Download PDF
  5. Solution of Real Analysis(Upto Dec-2019): Download PDF
  6. Solution of Integral Equation(110Pages): Download PDF
  7. Solution of ODE, PDE, IE & COV(Upto Dec-2019): Download PDF

CSIR-NET Year wise Complete Solution

  1. CSIR-NET Dec-2019: Download Here
  2. CSIR-NET June-2019: Download PDF
  3. CSIR-NET Dec-2018: Download PDF
  4. CSIR-NET June-2018Download PDF
  5. Combined Solutions of 2017D, 2018J, 2018D & 2019J: Download Here

Previous Yr. Que. Papers Collection:

  • MSc Entrance(JAM, CUCET, BHU, UoH, …etc): Download PDF
  • NET, GATE & PhD Entrance(NBHM, CUCET, DU, …etc): Download PDF
  • Download and practice these Papers as your practice set.

Related Posts:


Year-wise Complete Solution

CSIR-NET Year-wise Complete Solution.
It will be very very helpful in the preparation of CSIR-NET examination. By solving these sets, you will get to know about important topics and trick for your examinations.

  1. CSIR-NET Dec-2019: Download PDF
  2. CSIR-NET June-2019: Download PDF
  3. CSIR-NET Dec-2018: Download PDF
  4. CSIR-NET June-2018: Download Sample PDF
  5. CSIR-NET Dec-2017: Download Sample PDF

Download all above CSIR-NET Solutions(2017D, 2018J, 2018D, 2019J): Download PDFs

GATE Year-wise Complete Solution.
It will be very very helpful in the preparation of the upcoming GATE examination. By solving these sets, you will get to know about important topics and trick for your examinations.

  1. GATE 2020(Mathematics Solutions): Uploading soon
  2. GATE 2019 & 2018(Mathematics Solutions): Download PDF

Important Link:  CSIR NET Topic-wise SolutionsGATE & JAM Study Materials & NET-GATE Study Material


Handwritten Study Materials for CSIR-NET, GATE, SET, JAM, PCS, MSc/PhD Exams

The subject-wise handwritten Latest study materials for CSIR-NET, GATE, SET, JAM, NBHM, TIFR, PSC, CUCET, BHU, …etc are available here.

  1. Abstract AlgebraCLICK HERE
  2. Calculus: Download PDF
  3. Calculus of Variation: Download PDF
  4. Complex Analysis:  CLICK HERE
  5. Functional Analysis: Download PDF
  6. Integral Equation with Solutions: Download PDF
  7. Linear Algebra(VVICLICK HERE
  8. Linear Programming with Sol. (Sample PDF): Buy Now
  9. Markov Chain with Solution: Click Here
  10. Measure Theory study material: Download Here
  11. Metric Space: Download Here
  12. Number Theory with Sol.: Download PDF
  13. Numerical Analysis with Sol.: Download PDF
  14. Probability & Prob. Distribution: Download Here
  15. Ordinary Differential Equations: Download PDF
  16. Partial Differential Equation: Download PDF
  17. Real Analysis(VVI)CLICK HERE
  18. Sum of Series, Power Series & ROC: Download Here
  19. Topology: Download PDF

For INSTANT Downloading any PDF Visit Here.

Important Link: Fast Revision Notes for CSIR-NET, GATE, JAM, CSIR NET Mathematics Solution and Practice Set For NET, GATE, SET & JAM

Not only read theory & solve problems but also make a strategy for exam a/c to your preparation. Keep in mind that, it is not necessary to solve all problems in exam, your guessing power should also be strong which comes by solving a lot of problems.

CSIR-NET Exam Tips/Trick for scoring marks easily: Visit Here

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