P Kalika

A Site for Higher Mathematics


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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 (PDF Notes) 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 and be ready for your exams(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 CSIR NET Mathematics Solution

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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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 Exams.

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. Linear Algebra(Sample): Download PDF
  9. COV + Integral Equation: Download PDF
  10. PhD Interviews Questions Collection: Available Soon

Quick Revision Package

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

Handwritten Solution of GATE Mathematics for self-preparation. We provide the best quality notes for self preparation of GATE Mathematics for those who can not afford coaching. The best way to prepare for GATE 2022 is to do the practice of problems from Previous Yr. Questions of GATE Mathematics. Start your preparation for 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: Check Here

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TIFR Graduate School Admissions (GS-2021)

Tata Institute of Fundamental Research PhD & Int. PhD Admissions (GS-2021)

GS2021: Selection Process for Mathematics

Selection process for admission in 2021 to the various programs in Mathematics at the TIFR centers – namely, the PhD and Integrated PhD programs at TIFR, Mumbai as well as the programs conducted by TIFR CAM, Bengaluru and ICTS, Bengaluru – will be held in two stages.
Stage I. A nation-wide test will be conducted in various centers on March 7, 2021. For the PhD and Integrated PhD programs at the Mumbai Center, this test will comprise the entirety of Stage I of the evaluation process. For more precise details about Stage I of the selection process at other centers (TIFR CAM, Bengaluru, and ICTS, Bengaluru) we refer you to the websites of those centers.
The nation-wide test on March 7 will be an objective test of three hours duration, with 20 multiple choice questions and 20 true/false questions. The score in this test will serve as qualification marks for a student to progress to the second step of the evaluation process. The cut-off marks for a particular program will be decided by the TIFR center handling that program. Additionally, some or all of the centers may consider the score in Stage I (in addition to the score in Stage II) towards making the final selection for the graduate program in 2021.
Stage II. The second stage of the selection process varies according to the program and the center. More details about this stage will be provided at a later date

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RPSC Assistant Professor/Lecturer Exam Syllabus, Study Materials and Free Video Lectures.

We suggest you to solve problems of other states PSC/Lecturer exams questions for your RPSC practice. Also try to solve easy level problems from NET/GATE.


SYLLABUS FOR COMPETITIVE EXAMINATION FOR THE POST OF ASSISTANT PROFESSOR IN MATHEMATICS FOR COLLEGE EDUCATION DEPARTMENT

Click on the subject to download the notes.

Topics According to New Syllabus

PAPER – IPAPER – II
1. Differential and Integral Calculus:
2. 2-D Coordinate Geometry

(Catesian and Polar coordinates)
3. 3-D Coordinate Geometry
4. Vector Calculus
5. Ordinary Differential Equations
6. Partial Differential Equations
7. Mechanics
8. Abstract Algebra
9. Linear Algebra
10. Complex Analysis

Note:
# Maximum Marks : 75
# Number of Questions : 150

# Duration of Paper : Three Hours
1– Special Functions
2- Integral Transforms
3- Differential and Integral Equations
4- Metric spaces and Topology
5- Differential Geometry
6- Tensors
7- Mechanics
8- Numerical Analysis
9- Operations Research
10- Mathematical Statistics


Note:
# Maximum Marks : 75
# Number of Questions : 150

# Duration of Paper : Three Hours

Suggested Books Reading: https://pkalika.in/suggested-books-for-mathematics/

Download Study Materials For RPSC Maths Lecturer: Click Here

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JAM Mathematics Study Materials and Syllabus

JAM Mathematics(MA/MS) Study materials

  1. Calculus(Updated): Download Here
  2. Differential Equations: PDE and ODE
  3. Group Theory(Sample): Download Here
  4. Linear Algebra(Sample): Download Here
  5. Real Analysis(Sample): Download Here
  6. Statistics(For JAM Statistics): Download PDF
  7. Matrices(For JAM Statistics): Download Here
  8. Linear Algebra & Group Theory Solution: Download Here
  9. ALL AVAILABLE NOTES OF JAM: contact: help@pkalika.in

JAM 2020 Maths Solution: Click Here


Syllabus Mathematics (MA)

Functions of One Real Variable: Limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L’Hospital rule, Taylor’s theorem, maxima and minima.

Functions of Two or Three Real Variables: Limit, continuity, partial derivatives, Differentiability, maxima and minima.

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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.

Note/Instruction:

  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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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. (New) Classical Mechanics: Download PDF
    • by  Rakhee Kumari, (MSc, CUJ)
  2. Linear Algebra: Download PDF
    • by  M. Sarojini, (MSc, GATE)
  3. Metric Space: Download PDF
    • by  M. Sarojini, (MSc, GATE)
  4. Number Theory: Download PDF
    • by  M. Sarojini, (MSc, GATE)
  5. Probability & Statistics: Download PDF
    • by  M. Sarojini, (MSc, GATE)
  6. (New) Partial Differential Equations (PDE): Download PDF
    • by  M. Sarojini, (MSc, GATE)
  7. 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
  8. Ring Theory(Rahul Anand, MSc, NIT Jalandhar)Download PDF
  9. 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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MSc Entrance Exams Que. Papers (JAM, CUCET, BHU, …etc)

Question Paper of MSc Entrance exams(like JAM, CUCET, BHU, … etc.). Download the PDFs and practice it for your upcoming exams. It will be very very useful and sufficient, no need to join any test series.

  1. BHU PET Que Paper(Maths): Download PDF
  2. BHU PET Que Paper(Stats.): Download PDF
  3. CUCET MSc Maths (2019-2016+Sample): Download PDF
  4. JAM Mathematics (2020-2007): Download PDF
  5. JAM Statistics(2020-2008): Uploading Soon
  6. NBHM MSc Que Paper(2019-2008): Uploading Soon
  7. SAU MSc Entrance Que. Papers (2019-2014): Uploading Soon
  8. TIFR Mathematics Que Paper(2019-2010): Download PDF
  9. University of Delhi(Central University): Uploading Soon
  10. University of Hyderabad(Central University): Download PDF
  11. Any other: On-demand

Credit:

  • Jay Prakash, Neha & Shambhu (MSc, CUJ): CUCET, BHU Related Papers:
  • Guddu Kumar(Patna University, BSc): UOH, BHU Related Papers

Related Posts:

If you wish to send any question papers, we welcome you. Kindly send it to help@pkalika.in


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CSIR NET Previous Yr. Que. Papers

Previous Year Question Papers of CSIR-NET (Mathematical Science) year-wise up to 2022 (Latest). FREE PDF Download.

  1. Feb-2022 (Que.+Ans Key): Download PDF
  2. Nov-2020 (Que.+Ans, 26 Nov): Download PDF
  3. Dec-2019 (Que. Paper+Key): Download PDF
  4. Dec-2019(Assam)(Que. Paper+Key): Download PDF 
  5. June-2019 (Que. Paper+Key): Download PDF
  6. Dec-2018 (Que. Paper+Key): Download PDF
  7. June-2018 (Que. Paper+Key): Download PDF
  8.  Dec-2017 (Que. Paper+Key): Download PDF
  9. June-2017 (Que. Paper+Key): Download PDF
  10. Dec-2016 (Que. Paper+Key): Download PDF
  11. June-2016 (Que. Paper+Key): Download PDF
  12. Dec-2015 (Que. Paper+Key): Download PDF
  13. June-2015 (Que. Paper+Key): Download PDF
  14. Dec-2014 (Que. Paper): Download PDF
  15. June-2014 (Que. Paper+Key): Uploading Soon
  16. Dec-2013 (Que. Paper): Download PDF
  17. June-2013 (Que. Paper+Key): Download PDF
  18. Dec-2012(Que. Paper+Key): Download PDF
  19. June-2012 (Que. Paper+Key): Download PDF
  20. CSIR-NET June-2011: Download PDF
  21. CSIR-NET Dec-2011: Download PDF
  22. CSIR-NET 2008:  Download Paper-1 and Download Paper-2

CSIR NET Mathematical Science Syllabus: Download Syllabus

CSIR-NET Solutions (Upto Latest Exam): Click Here

GATE Maths Solution (Upto Latest Exam): Click Here

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