Here, we have collected CSIR NET Mathematics 2021 June exam marks and based ranks shared by NET/JRF qualified candidates.
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Here, we have provided GATE Mathematics Prev. Yr. Cut offs and Ranks shared GATE qualified candidates.
Credit: Thanks to all those students who helped me to collect these data.
If possible, kindly share the following GATE Survey form among your circle to collect the data to help GATE-2022 aspirants.
Google Form Link: https://forms.gle/h1JWvqH5WC5SoLYm8
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).
For INSTANT Downloading any PDF Visit Here.
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 HereContinue reading →
Handwritten Solutions of CSIR-NET Mathematics Prev. Yr. Que. Papers (Upto November-2020) are available here. Very very helpful in the preparation of CSIR-NET, SET, GATE, PSC, …. and other equivalent exams. Self-preparation materials(No need for any coaching).
Note: CSIR NET(JRF) June-2020 exam was held in Nov-2020 and June-2021 will be held in Feb 2022.
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.
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.
GATE Topic-wise Solution
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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.Continue reading →
Tata Institute of Fundamental Research PhD & Int. PhD Admissions (GS-2021)
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
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.
|PAPER – I||PAPER – 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
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
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/
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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.Continue reading →
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
|Bemar(Presentation) in LaTeX||Download .tex File & Download PDF|
|LaTeX Practice-1||LaTeX Short Math Guide Download|
|LaTeX Practice-2||LaTeX_Symbols Download|
|LaTeX Practice-3||Math into LaTeX Download|
|LaTeX Practice-4||Latex All SymbolsDownload|
|Description||Download .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|
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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.