Showing posts with label CSIR NET online help. Show all posts
Showing posts with label CSIR NET online help. Show all posts

Trust YOU CAN CRACK CSIR NET/SET , How to Clear CSIR NET Maths?

 1. How to Clear CSIR NET Maths?


2. Trust YOU CAN CRACK CSIR NET/SET தமிழில் Preparation TIPS
     https://youtu.be/4uPR3QEJMgU

3. தமிழில் About CSIR NET/JRF Exam | Motivation - Questions Discussion | NET/SET Syllabus

100 Q&A VIDEO LECTURES FREE

 FIRST TIME IN HISTORY! 

100 Q&A VIDEO LECTURES FREE.

Useful for CSIR NET / SET, TRB PG & Polytechnic aspirants  to improve your preparation.

Detailed explanation VIDEOS (in Tamil)

Reg. Dates: 19.9.2020 to 21.9.2020.    

Registration link: https://forms.gle/68c6ibq6u8QvGPor8

Note: 

*Only registered people can watch videos. 

* To get full benefit you may join online / offline  coaching.

R.Suresh Kannan M.Sc., M.Phil., CSIR NET & SET Qualified, 

https://www.profsuresh.in/

Searching for your coaching ENDS here...


India NEVER STOP Learning!

Searching for your coaching ENDS here...

Prof Suresh Maths Classes
 (where understanding is important), 
Trainer @ Madura Coaching Centre, Madurai, Tamilnadu.
ONLINE Courses offered: CSIR NET/JRF , SET , TRB PG Assistant, TRB Polytechnic Lecturer. 
Coaching by Prof. SURESH (CSIR NET & SET qualified).
100% assurance for QUALITY TEACHING.

WhatsApp/Telegram No. +91 8838037215.

For CSIR NET & SET/SLET  Classes start in 2 days & (anytime).
For TRB PG Assistant, TRB Polytechnic  Classes start SOON.
1.Teaching platforms: Google Classroom - forms - Drive, YouTube & WhatsApp.
2. Video lectures with step by step explanation.         
3. Online tests & doubt clearing sessions.

Apply & start preparation 
CLICK HERE (FOR DETAILS)

 "Fees concession for joining as group (from same college/school  / friends/relatives)"

What is meant by (up to Isomorphism ) ?

Qn: Sir what is meant by (up to Isomorphism ) Ans: The phrase "up to isomorphism" means "any such things are isomorphic". For e.g count 1, 2,3,... in English, Tamil & Hindi. Counting words are different but they mean the same. This concept is Isomorphism. Two groups (rings, fields) are Isomorphic means they have same structure (they behave alike). Hope you understood. - Prof. Suresh.

Mathematics Online coaching


India NEVER STOP Learning!

Searching for your coaching ENDS here...

Register here 

Prof Suresh Maths Classes
 (where understanding is important), 
Trainer @ Madura Coaching Centre, Madurai, Tamilnadu.
ONLINE Courses offered: CSIR NET/JRF , SET , TRB PG Assistant, TRB Polytechnic Lecturer. 
Coaching by Prof. SURESH (CSIR NET & SET qualified).
100% assurance for QUALITY TEACHING.

WhatsApp/Telegram No. +91 8838037215.

For CSIR NET & SET/SLET  Classes start in 2 days & (anytime).
For TRB PG Assistant, TRB Polytechnic  Classes start SOON.
1.Teaching platforms: Google Classroom - forms - Drive, YouTube & WhatsApp.
2. Video lectures with step by step explanation.         
3. Online tests & doubt clearing sessions.

Apply & start preparation 
CLICK HERE (FOR DETAILS)

 "Fees concession for joining as group (from same college/school  / friends/relatives)"


CSIR NET Mathematics classes Online

YOUR SEARCHING FOR COACHING ENDS HERE...

Online Coaching for CSIR NET MATHS. 💯🏆🥇

This is also useful for those who want to learn problem solving techniques in higher mathematics & SET/SLET, IIT JAM, NBHM, IAS , University entrance exam aspirants.

Medium of instruction: English & Tamil.
#Safely learn at home. 
 1. Video lectures with step by step Explanation, 
2.  Flexible timing & 
Individual care.
3. Materials MCQ Q&A
4. Online tests & doubt clearing sessions.

 *Watch* my demo video (~1 hour) for *FREE* then decide to join. 

Registration form:


http://www.csirnetmath.blogspot.com

*Benefits of Joining Online coaching* 👍👍

1. CSIR NET/SET 
2. TRB PG, Polytechnic 
3. GATE 
4. NBHM 
5.M.Phil/Ph.D entrance
6. Teaching /Learning @ College & knowledge development.

 *Do Convey / share * . 🙏🏻🙏🏻

CSIR NET & SET EXAM MATHS SYLLABUS


NOTE: 
THERE IS NO SEPARATE SYLLABUS FOR TN SET (& ALL OTHER STATES SET EXAM) MATHS. 
  
MATHS SYLLABUS IS SAME FOR SET & CSIR NET 

CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturership
CSIR NET COMMON SYLLABUS FOR PART ‘A’ 
Joint CSIR-UGC NET for JRF and Elegibility for Lectureship

General Aptitude with emphasis On logical reasoning, graphical analysis, analytical and numerical ability, quantitative comparison,  series formation, puzzles etc.

There will be 20 questions and the candidates shall be required to answer any 15


CSIR NET - COMMON SYLLABUS FOR PART ‘B’ AND ‘C’ 

SET EXAM SYLLABUS - PAPER 2 

MATHEMATICAL SCIENCES
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 


Complex Analysis: Algebra of complex numbers, the complex plane, polynomials, power series,
transcendental functions such as exponential, trigonometric and hyperbolic functions. 
Analytic functions, Cauchy-Riemann equations. 

Contour integral, Cauchy’s theorem, Cauchy’s integral formula, Liouville’s theorem, Maximum
modulus principle, Schwarz lemma, Open mapping theorem. 
Taylor series, Laurent series, calculus of residues. 
Conformal mappings, Mobius transformations. 

Algebra:
 Permutations, combinations, pigeon-hole principle, inclusion-exclusion principle,
derangements. 
Fundamental theorem of arithmetic, divisibility in Z, 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. 
Topology: basis, dense sets, subspace and product topology, separation axioms, connectedness and
compactness. 

UNIT – 3 


Ordinary Differential Equations (ODEs): 
Existence and uniqueness of solutions of initial value problems for first order ordinary differential
equations, singular solutions of first order ODEs, system of first order ODEs. 
General theory of homogenous and non-homogeneous linear ODEs, variation of parameters,
Sturm-Liouville boundary value problem, Green’s function. 
Partial Differential Equations (PDEs): 
Lagrange and Charpit methods for solving first order PDEs, Cauchy problem for first order PDEs. 
Classification of second order PDEs, General solution of higher order PDEs with constant
coefficients, Method of separation of variables for Laplace, Heat and Wave equations. 
Numerical Analysis : 
Numerical solutions of algebraic equations, Method of iteration and Newton-Raphson method, Rate
of convergence, Solution of systems of linear algebraic equations using Gauss elimination and
Gauss-Seidel methods, Finite differences, Lagrange, Hermite and spline interpolation, Numerical
differentiation and integration, Numerical solutions of ODEs using Picard, Euler, modified Euler and Runge-Kutta methods.  
Calculus of Variations: 
Variation of a functional, Euler-Lagrange equation, Necessary and sufficient conditions for extrema.
Variational methods for boundary value problems in ordinary and partial differential equations. 
Linear Integral Equations: 
Linear integral equation of the first and second kind of Fredholm and Volterra type, Solutions with
separable kernels. Characteristic numbers and eigenfunctions, resolvent kernel. 
Classical Mechanics: 
Generalized coordinates, Lagrange’s equations, Hamilton’s canonical equations, Hamilton’s
principle and principle of least action, Two-dimensional motion of rigid bodies, Euler’s dynamical
equations for the motion of a rigid body about an axis, theory of small oscillations. 

UNIT – 4

Descriptive statistics, exploratory data analysis 
Sample space, discrete probability, independent events, Bayes theorem. Random variables and
distribution functions (univariate and multivariate); expectation and moments. Independent random
variables, marginal and conditional distributions. Characteristic functions. Probability inequalities
(Tchebyshef, Markov, Jensen). Modes of convergence, weak and strong laws of large numbers, Central
Limit theorems (i.i.d. case). 
Markov chains with finite and countable state space, classification of states, limiting behaviour of n-step
transition probabilities, stationary distribution, Poisson and birth-and-death processes. 
Standard discrete and continuous univariate distributions. sampling distributions, standard errors and
asymptotic distributions, distribution of order statistics and range. 
Methods of estimation, properties of estimators, confidence intervals. Tests of hypotheses: most powerful
and uniformly most powerful tests, likelihood ratio tests. Analysis of discrete data and chi-square test of
goodness of fit. Large sample tests. 
Simple nonparametric tests for one and two sample problems, rank correlation and test for independence.
Elementary Bayesian inference. 
Gauss-Markov models, estimability of parameters, best linear unbiased estimators, confidence intervals,
tests for linear hypotheses. Analysis of variance and covariance. Fixed, random and mixed effects models.
Simple and multiple linear regression. Elementary regression diagnostics. Logistic regression. 
Multivariate normal distribution, Wishart distribution and their properties. Distribution of quadratic
forms. Inference for parameters, partial and multiple correlation coefficients and related tests. Data
reduction techniques: Principle component analysis, Discriminant analysis, Cluster analysis, Canonical
correlation. 
Simple random sampling, stratified sampling and systematic sampling. Probability proportional to size 
sampling. Ratio and regression methods.
Completely randomized designs, randomized block designs and Latin-square designs. Connectedness and
orthogonality of block designs, BIBD. 2K factorial experiments: confounding and construction. 
Hazard function and failure rates, censoring and life testing, series and parallel systems.

Linear programming problem, simplex methods, duality. Elementary queuing and inventory models. 
Steady-state solutions of Markovian queuing models: M/M/1, M/M/1 with limited waiting space, M/M/C, M/M/C with limited waiting space, M/G/1.

NOTE:

  1. All students are expected to answer questions from Unit I. 
  2. Students in mathematics are expected to answer additional question from Unit II and III.  
  3. Students with in statistics are expected to answer additional question from Unit IV.

If you are willing to join
CSIR NET/JRF , SET, TRB & Other  MATHEMATICS Online Coaching  
register here


Webinar on CSIR NET/JRF & SET Mathematics

*Webinar on CSIR NET/JRF & SET Mathematics* with Motivation, Preparation tips, Shortcuts, Tricks, Important topics and problem solving techniques . 

CSIR NET/JRF & SET Mathematics Webinar with Motivation, Preparation tips, Shortcuts, Tricks, Important topics and problem solving techniques . 
📌Also *useful* for TRB PG, POLYTECHNIC LECTURER, GATE, UPSC Maths, M.Phil / Ph.D entrance exams.

📆 *Date* : 24.06.2020, 5pm - 6.30pm.

 🏷️ *Registration link* :


Modern Algebra (groups) Test paper Discussion

Part III - Modern Algebra (groups) Test paper Discussion by Prof SURESH (NET & SET PASSED)

https://youtu.be/6KqvUa2JivU

TRB POLYTECHNIC PG ASST.
CSIR NET/JRF , SET
Admission & classes going on...
Madura coaching centre, Madurai, Tamilnadu.

CSIR NET JUNE 2018 NOTIFICATION

CSIR NET JUNE 2018 notification

http://csirhrdg.res.in/notification_main_june2018.pdf

🖋CSIR NET June 2018📏
TRB POLYTECHNIC LECTURER
🖋Maths coaching📚
 @ Madurai, Tamilnadu.
📲 +91 8838037215

Registration form

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