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

Note: The syllabus of GATE-2021 has 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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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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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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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

Note:

  • 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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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

Important Links:


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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

Continue reading