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A Site for Higher Mathematics

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TIFR Graduate School Admissions (GS-2022)

Tata Institute of Fundamental Research PhD & Int. PhD Admissions (GS-2022)

GS2022 information has been updated. The “Apply Online” link will be activated on or before October 8, 2021. 

Important Dates:

  • Examination Date: Sunday, December 12, 2021
  • Online application starts: October 8, 2021
  • Last date for application: November 7, 2021
  • Downloading of Hall Tickets: November 22, 2021

Note: Candidates in the final year of their qualifying degree can also apply.

Admission Procedure:

The admissions procedure (in all subjects, except Science Education) consists of an online test at one of the several nationwide centres, followed by interviews and/or second written test of shortlisted candidates depending on the subject/programme. (Read More)

Shortlisted candidates will be called for interviews to be held during March-May 2022.  Exact dates would be announced later.

Results of the entrance examination will be announced by end-January, 2022 and students shortlisted for interview will be intimated by email.

More details: http://univ.tifr.res.in/gs2022/index.html

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GATE 2022 || Important Dates, Syllabus, Eligibility, PYQs and Additional Information

Organising Institute for GATE 2022 is Indian Institute of Technology Kharagpur.

GATE 2022 Information Brochure: Download here

GATE 2022 ActivityDates
Online Application StartsAugust 30, 2021
Closing Date for Online RegistrationSeptember 24, 2021 
End of EXTENDED period for Online Registration (with late fee)October 01, 2021
Admit Card Download -NA-
Date of ExaminationFebruary 05, 06, 12 and13 2022
Announcement of the ResultsMarch 17, 2022 (Tuesday)
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JAM 2022 Announcements || Syllabus, PYQs, Handwritten Notes & Solutions

NB: We are soon going to provide detailed Handwritten Notes & Solutions for self preparation (No coaching Required).

JAM 2022 ActivityDate (Day)
Online Application StartsAugust 30, 2021
Last Date for Online Registration/ApplicationOctober 11, 2021 
Admit Card DownloadJanuary 04, 2022 
Date of ExaminationFebruary 13, 2022 (Sunday)
Announcement of the ResultsMarch 22, 2022 (Tuesday)

Syllabus For JAM-2022 Mathematics(MA) has been slightly Changed. Check Here New syllabus.

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NBHM PhD Scholarship Scheme 2021: Important Dates, Eligibility Criteria, Question Papers & Related Queries.

  • Exam Date: August 18, 2021
  • Selection procedure for the scholarship

    Candidates shall be shortlisted for an interview based on their performance in the test. Final selection for the scholarship shall primarily be on the basis of performance in the test and the subsequent interview, although the selection committee may take into account other aspects of the candidate’s academic track record.

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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.


    Click on the subject to download the notes.

    Topics According to New Syllabus

    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

    # 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

    # 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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    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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    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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    Learn LaTeX with P Kalika (From very beginning)

    An initiative towards learning. Don’t worry, no need of any programming skill. We have started from very beginning and for practice purpose we also uploaded some symbols and content writing. You may practice them.

    Recorded videos for your practice purpose: Click here

    Contents for “LaTeX Learning”

    Bemar(Presentation) in LaTeXDownload .tex File & Download PDF
    LaTeX Practice-1LaTeX Short Math Guide Download
    LaTeX Practice-2LaTeX_Symbols Download
    LaTeX Practice-3Math into LaTeX Download
    LaTeX Practice-4Latex All SymbolsDownload
    DescriptionDownload .Tex File
    LaTeX Workshop (Day-1):Download File (tex & PDF)
    LaTeX Workshop (Day-2):Download .tex file and Download PDF
    LaTeX Workshop (Day-3):Download .tex File and Download PDF

    Videos of LaTeX Learning

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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.


    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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