Tag: Mathematics

# CSIR NET Previous Yr. Que. Papers Collection

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

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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).

8. Linear Programming with Sol. (Sample PDF): Buy Now
13. Numerical Analysis with Sol.

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 Sept.-2022) are available here. Very very helpful in the preparation of CSIR-NET, SET, GATE, PSC, etc. and other equivalent exams. Self-preparation materials (No need for any coaching). Work is in progress.

Note: CSIR NET June-2021 exam was conducted in Feb-2022 and June-2022 exam in Sept. 2022.

1. General Aptitude Solution (NET 20 & 22 & GATE 2022-2016): Download PDF
5. Sol. of NT, NA, LPP & DS (Upto Sept-2022, Pages:166)Download PDF
6. Sol. of ODE, PDE, IE & COV (Upto Sept-2022): Download PDF
8. Combined Solutions (All above Sr. No. 2 – 7): Click Here

### CSIR-NET Year-wise Complete Solution

8. Combined Solutions of 2017D, 2018J, 2018D, 2019J, 2019D, 2020N & 2022F: Download Here
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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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# 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: 68

Updated On: May 2023

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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.

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) )

• by  Rakhee Kumari, (MSc, CUJ)
• by  M. Sarojini, (MSc, GATE)
• by  M. Sarojini, (MSc, GATE)
• by  M. Sarojini, (MSc, GATE)
• by  M. Sarojini, (MSc, GATE)
• by  M. Sarojini, (MSc, GATE)
7. Real Analysis
• Sequence, Series & Uniform Continuity(Rahul Anand, MSc, NIT Jalandhar): Download PDF

*Term & conditions for Contribution

1. Notes will be Scanned in PDF Format
2. Writing Should be Clear/Clean
4. Only Notes Related to Mathematics
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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.

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# Permutation Group: Problem and Solution

Collection of some standard problems and their solution from

# Mathematics topic-wise Solutions

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

2. Solution of Complex Analysis(Upto Dec-2019):
3. Solution of Linear algebra(Upto Dec-2019):
5. Solution of Real Analysis(Upto Dec-2019):
7. Solution of ODE, PDE, IE & COV(Upto Dec-2019):

CSIR-NET Year wise Complete Solution

Previous Yr. Que. Papers Collection:

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# 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.