P Kalika

A Site for Higher Mathematics


Latest Handwritten PDF Notes for CSIR-NET, GATE, SET, JAM, PCS, MSc/PhD Exams in Mathematics

Here we have prepared the subject-wise handwritten study materials based on the latest syllabus of CSIR-NET, GATE, SET, JAM, PSC, CUCET, BHU, …etc exams. These notes are very very helpful in self-preparation written in an easy way so that you can easily understand the concepts (Read Students Feedback).

  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: 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 exams, 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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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 June-2021 will be held in Jan/Feb 2022.

  1. General Aptitude Solution (GATE 2021-2016 & CSIR-NET 26 Nov 2020): Download PDF
  2. Sol. of Abstract algebra(Upto Nov-2020, Pages:107): Download PDF
  3. Sol. of Complex Analysis(Upto June-2020, Pages:118): Download PDF
  4. Sol. of Linear algebra(Upto Nov-2020, Pages:205): 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. Sol. of Real Analysis(Upto Nov-2020, Pages:210): Download PDF
  8. Combined Solutions (All above Sr. No. 2 – 7): 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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FREE Video Lectures for self-preparation of CSIR-NET, GATE, SET, Lecturer and Asst. Professor Exams.

Here we are providing FREE video crash courses for CSIR NET and GATE for self preparing students. These crash course videos are also useful in preparation NBHM MSc Exam, NBHM PhD Exam, TIFR Mathematics, CUCET, Assistant Professor, Lecturer & other equivalent MSc/PhD Entrance Exams. You need to only focus on understanding concept and tricks explained in these videos. PDF version of each topics for study materials and solutions are available (Check Here).

For any doubt or Query regarding handwritten notes, mail us at maths.whisperer@gmail.com

◆ Solutions of CSIR-NET, GATE, NBHM & TIFR

◆ Topic-wise/Subject-wise Video Crash Courses

Work is under process, more videos on solutions and crash courses will be added, keep connected. Join our YouTube channel P Kalika Maths for notifications and videos.

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Free Test Series for CSIR-NET, SET, GATE, PSC

We have started providing topic-wise FREE test series for CSIR-NET, GATE, SET Aspirants. After the topic-wise test, we will start full tests. Test your knowledge here.


  1. The result will be released on 08:00 PM on respective days of tests. The result will be sent on your email id which you will enter in a test.
  2. Related information will be shared on Telegram Channel: https://t.me/pkalika_mathematics
  3. We welcome those who are interested in questions setting for a test, write to us on maths.whisperer@gmail.com.
  4. Next Test: ODE+PDE+COV+IE Test-1 on 30/05/2020
  5. Next Test: Abstract Algebra on 01/06/2020

CSIR-NET, SET & PhD Entrance Test(07/06/2020): Attend Test

Algebra(Abstract+Linear) Tests:-

Analysis(Real+Complex) Tests

  • Complex Test-1(28/05/20): Attend Test-1
  • Complex Test-2: – – – – – – – – – – –

Applied Part(ODE+PDE+LPP+NA) Tests

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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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CSIR NET Previous Yr. Que. Papers

FREE PDF Download Question Papers of CSIR-NET (Mathematical Science) year-wise up to 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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Que. Papers of CSIR-NET, GATE, JAM, CUCET, BHU, JNU, IIT, NBHM, DU, …etc

Here, you will get the collection of Previous Year Que. Papers (Math & Stat.) for CSIR-NET(JRF), GATE, NBHM, TIFR, IITs, CUCET, …etc and many mores including MSc/PhD Entrance Que. Papers. Practice these questions for your entrance exams. It will be very very helpful and sufficient for qualifying.

Questions Paper of NET, GATE & Ph.D. Entrance

  1. CSIR-NET Mathematics Que. Paper+Ans (2019-2011): Download Here
  2. CUCET PhD Mathematics Que. Paper+Ans (2020-2016): Download PDF
  3. Delhi University PhD Entrance Test(2015-2019): Download PDF
  4. GATE Mathematics Que Paper+Ans (2020-2010): Download PDF
  5. IIT Bombay PhD Screening Test(Dec 2015-May 2019): Download PDF
  6. IIT Kanpur PhD Screening Test(Dec 2015-May 2019): Uploading Soon
  7. IISc Banglore Int. PhD Test(178Pages): Uploading Soon
  8. ISI PhD Entrance Test(2015-2019): Uploading Soon
  9. JNU PhD Mathematics Que. Papers(2018-2015): Download PDF
  10. NBHM PhD Que Paper+Ans (2020-2005): Download PDF
  11. SAU PhD Admission Que. Paper(115 Pages): Download PDF
  12. TIFR Mathematics Que Paper(2020-2010): Download PDF
  13. BHU RET Que Paper(Math & Statistics): Uploading Soon
  14. P Kalika Practices Sets(52Pages): Download Practice Sets
  15. Any others: On Demand

Questions Paper of  MSc Entrance exams

  1. BHU PET Que Paper(Mathematics): Download PDF
  2. BHU PET Que Paper(Statistics): Download PDF
  3. CMI PG Entrance Papers(2010-2019): Uploading Soon
  4. CUCET MSc Maths Que. Paper(2019-2016+Sample): Download PDF
  5. JAM Mathematics(2020-2007): PDF Download
  6. NBHM MSc Que Paper(2019-2008): Uploading Soon
  7. TIFR Mathematics Que Paper(2019-2010): Download PDF
  8. University of Delhi(Central University): Uploading Soon
  9. University of Hyderabad(Central University): Download PDF
  10. Others: On demand


  • If you need any other Exam paper, write here.
  • If you want to share any Que. Paper, then send it to help@pkalika.in

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CSIR-NET, GATE, MSc/PhD Exams Notes Center (Handwritten Notes)

I. CSIR-NET, GATE, JAM, SET Study Materials

Group  Ring Theory  Calculus for GATE JAM, SET 85Pages(Kalika)_1  Complex  Real Complete_1   Power Series   Linear Algebra_1  Number Theory 76Pages(Kalika)_1  Numerical with sol 61Pages  PDE full Part-1 77Pages Sample 25_1  Integral   Topology 92pages by Kalika_1  LPP   COV (Kalika) 58pages   Functional Analysis by 58pages(Kalika)_1   Prob  Prob Dist        

II. Quick Revision Notes for NET, GATE, SET, NBHM

Group Theory Quick Revision 112Pages_1   Ring Theory Quick Revision 40Pages_1  Quick revision Real_1  Complex Short notes 28pages_1  Quick revision PDE_1    Quick revision ODE_1  

III. CSIR-NET Sol. (Year-wise & Topic Wise)

2019J Sol  2018Dec sol  2018J Sol  NET Solution 2019J-2017D 297Pages(Kalika)_1   Real Sol    Linear Sol  Complex Sol  CSIR Abstract Sol Upto June2019 71Pages_1  Applied Sol  NT, NA, LPP, DS Solutions 79Pages 35_1   GATE 2019 35Pages_1  GATE 2019-2018 (Kalika)94Pages_1

Note: For  ALL-IN-ONE Package/Multiple Notes, Study Material write us on maths.whisperer@gmail.com.

Feedbacks on Our Notes: https://pkalika.in/feedback-on-notes/

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Probability and Statistics

Handwritten study materials of Probability, Probability Distribution & Statistics(Markov chain) for CSIR-NET, GATE(Stat.), NBHM-PhD, SET/SLET, PSC, …etc.

Practice Set

Important Links:


Abstract Algebra & Linear Algebra

Abstract/Modern Algebra

  1. Abstract-1 (Group Theory): Download PDF
  2. Abstract-2 (Ring Theory): (Sample PDF) Buy Now
  3. Sylow Thm, Simple & Solvable Group(Free): Download PDF
  4. Quick Revision Notes(Group Theory): Download PDF
  5. Quick Revision Notes(Ring Theory):  Download PDF
  6. CSIR-NET Abstract Algebra Solution(Upto Nov-2020): Download PDF

All Notes of Abstract Algebra (Available Now)

Linear Algebra

  1. Linear(Only Matrix Theory): Download PDF
  2. Linear Algebra Full Notes: Download PDF
  3. CSIR-NET Linear Algebra Solution(Upto Nov-2020): Download PDF

Check All Study Materials: NET-GATE Notes PDF Center

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Quick Revision Notes for CSIR-NET, GATE, SET, JAM, Lecturer & Asst. Prof. Exams

Followings Quick Revision notes are VERY VERY helpful in Quick revision of concepts and refreshing your knowledge before starting practicing problems for NET/GATE/PSC and also before an exam. These notes are also useful in concepts revision before an interview of Ph.D./Asst. Prof./Lecturer.

These notes are specially prepared for CSIR-NET, GATE, SET, JAM, Lecturer & Asst. Prof. Exams.

  1. Complex Analysis: Download PDF
  2. Group Theory: Download PDF
  3. Ring Theory: Download PDF
  4. ODE Quick Revision: Download PDF
  5. PDE Quick Revision: Download PDF
  6. Probability & Distribution: Download PDF
  7. Real Analysis: Download PDF
  8. Number Theory + Cryptography (For Interviews): Download PDF
  9. Linear Algebra: Available Soon
  10. COV + Integral Equation: Available Soon
  11. PhD Interviews Questions Collection: Available Soon

Quick Revision Check List

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