Friday, 18 September 2020

Update(JAM2021)

 JAM2021 is coming . This year the exam will be organised by Indian institute of science, Bangalore. For more information and updates, please keep visiting our blog website.

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Admin

Higher Mathematica

posted by Rishav @ September 18, 2020   0 Comments

Saturday, 25 July 2020

INTRODUCTION

This is a blog on mathematics which will help you to prepare for various kinds of MSc entrance examinations, such as IIT JAM, BHU ,DU, University of Hyderabad and others. Thank you.

posted by Rishav @ July 25, 2020   0 Comments

Friday, 24 July 2020

TEST SERIES ON EVERY TOPIC OF IIT JAM MATHEMATICS

Coming soon. Please wait .



posted by Rishav @ July 24, 2020   0 Comments

SOLUTIONS OF IIT JAM MATHEMATICS QUESTION PAPERS




JAM 2005 SOLVED PAPER( ONLY MCQ)

posted by Rishav @ July 24, 2020   0 Comments

Thursday, 23 July 2020

BOOKS RECOMMENDED FOR IIT JAM MATHEMATICS (PDF also)



FOR IIT JAM MATHEMATICS SYLLABUS

According to the syllabus some books for each topics are recommended for a better preparation of this exam. From this books pdf of some are available. Their links are also given below.

1. REAL ANALYSIS

a)INTRODUCTION TO REAL ANALYSIS, S K MAPA


b)INTRODUCTION TO REAL ANALYSIS, BARTLE_SHERBERT

2. LINEAR ALGEBRA

a)HIGHER ALGEBRA (ABSTRACT AND LINEAR) ,S K MAPA(PDF not available)

b)LINEAR ALGEBRA ,HOFFMAN_KUNZE

c) SCHAUM'S SERIES LINEAR ALGEBRA

3. GROUP THEORY :

a)HIGHER ALGEBRA (ABSTRACT AND LINEAR), S K MAPA(PDF not available)

b)CONTEMPORARY ABSTRACT ALGEBRA JOSEPH A GALLIAN

c)ABSTRACT ALGEBRA KHANNA AND BHAMRI

d) SCHAUM'S OUTLINE OF ABSTRACT ALGEBRA

4. FUNCTION OF ONE VARIABLE:

a)INTRODUCTION TO REAL ANALYSIS ,S K MAPA

b)INTRODUCTION TO REAL ANALYSIS, BARTLE_SHERBERT

5. FUNCTION OF SEVERAL VARIABLES:

AN INTRODUCTION TO REAL ANALYSIS AND DIFFERENTIAL CALCULUS ,GHOSH AND MAITY(PDF not available)

6. ORDINARY DIFFERENTIAL EQUATIONS:

a)DIFFERENTIAL EQUATIONS, GHOSH AND CHAKRABORTY(PDF not available)


b)DIFFERENTIAL EQUATIONS , MD RAISINGHANIA(PDF not available)


7. VECTOR ANALYSIS:
Schaum's Outline Of Vector Analysis

8. INTEGRAL CALCULUS:
INTEGRAL CALCULUS, GHOSH AND MAITY(PDF not available)
 __________________________________________________
AFTER COMPLETING THE WHOLE SYLLABUS , YOU CAN GO FOR THE PREVIOUS YEAR QUESTION PAPERS AND TEST SERIES.

1. FOR PREVIOUS YEAR SOLVED PAPERS 

2. FOR PRACTICING MORE PROBLEMS YOU CAN FOLLOW THIS BOOK 
 MCQ MATHEMATICS _ A GUIDE FOR EXAM SUCCESS BY _BANSHIDHAR SAHOO .

3. YOU CAN ALSO CHECK OUT TEST PAPERS ON EVERY TOPIC OF IIT JAM MATHEMATICS


posted by Rishav @ July 23, 2020   0 Comments

SYLLABUS FOR IIT JAM MATHEMATICS

Hey guys.If you are in the first year, second year or third year of graduation level and you are thinking about masters in mathematics then IITJAM examination is one of the best option for you. Since, it's a national level competitive examination , so the competition is high. Syllabus and some book recommendations are given below.

  

Syllabus for IIT JAM MATHEMATICS



Sequences and Series of Real Numbers: Sequence of real numbers, convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem. Series of real numbers, absolute convergence, tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series.

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.

Integral Calculus: Integration as the inverse process of differentiation, definite integrals and their properties, fundamental theorem of calculus. Double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals.

Differential Equations: Ordinary differential equations of the first order of the form y'=f(x,y), Bernoulli’s equation, exact differential equations, integrating factor, orthogonal trajectories, homogeneous differential equations, variable separable equations, linear differential equations of second order with constant coefficients, method of variation of parameters, Cauchy-Euler equation.

Vector Calculus: Scalar and vector fields, gradient, divergence, curl, line integrals, surface integrals, Green, Stokes and Gauss theorems.

Group Theory: Groups, subgroups, Abelian groups, non-Abelian groups, cyclic groups, permutation groups, normal subgroups, Lagrange's Theorem for finite groups, group homomorphisms and basic concepts of quotient groups.

Linear Algebra: Finite dimensional vector spaces, linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem. Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions, eigenvalues and eigenvectors for matrices, Cayley-Hamilton theorem.

Real Analysis: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets, completeness of R. Power series (of real variable), Taylor’s series, radius and interval of convergence, term-wise differentiation and integration of power series.

Read more »

posted by Rishav @ July 23, 2020   0 Comments

PREVIOUS YEARS IIT JAM MATHEMATICS QUESTION PAPERS(2005 - 2020)


The question papers are in PDF format. 
Download from below.




Thanks for visiting this blog.

posted by Rishav @ July 23, 2020   0 Comments