How to prepare for JAM 2019 Mathematics
Sherin Tressa, 17 Sep 2018, #JAM

How to prepare for JAM 2019 Mathematics – Preparing for JAM 2019 especially for Mathematics can be a little overwhelming given the vast syllabus to be completed within a small amount of time. Preparation for JAM 2019 can be made simple with a few steps which if followed correctly will give the candidates the result that they expect. JAM is held for the admission to the different post graduate science programmes offered by the participating IIT’s. The preparation tips mentioned here include how to prepare the time-table, mock tests and syllabus. The preparation tips for JAM 2019 will help candidates cover the syllabus for Mathematics topic-wise giving emphasis to both the major and minor topics of the subject. ‘How to prepare for Mathematics paper of JAM 2019 will also give candidates an insight about the how to manage time during the preparation period for the exam. JAM 2019 will be conducted on February 10, 2019.

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How to Prepare for JAM 2019 Mathematics – Syllabus

Unit: Sequences and Series of Real Numbers

Topics: Sequences and series of real numbers, Convergent and divergent sequences, bounded and monotone sequences, Convergence criteria for sequences of real numbers, Cauchy sequences, absolute and conditional convergence; Tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibnitz test for convergence of alternating series

Unit: Functions of One Variable

Topics: Limit, continuity, differentiation, Rolle’s Theorem, Mean value theorem. Taylor's theorem. Maxima and minima.

Unit: Functions of Two Real Variables

Topics: Limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler’s theorem

Unit: Integral Calculus

Topics: Integration as the inverse process of differentiation, definite integrals and their properties, Fundamental theorem of integral calculus. Double and triple integrals, change of order of integration. Calculating surface areas and volumes using double integrals and applications. Calculating volumes using triple integrals and applications

 

Unit: Differential Equations

Topics: 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-separable solutions, Linear differential equations of second and higher order with constant coefficients, method of variation of parameters. Cauchy-Euler equation

Unit: Vector Calculus

Topics: Scalar and vector fields, gradient, divergence, curl and Laplacian. Scalar line integrals and vector line integrals, scalar surface integrals and vector surface integrals, Green's, Stokes and Gauss theorems and their applications

Unit: Group Theory

Topics: 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 (only group theory).

Unit: Linear Algebra

Topic: Vector spaces, Linear dependence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, Range space and null space, rank-nullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. Cayley-Hamilton theorem. Symmetric, skew-symmetric, hermitian, skew-hermitian, orthogonal and unitary matrices.

Unit: Real Analysis

Topics: Interior points, limit points, open sets, closed sets, bounded sets, connected sets, compact sets; completeness of R, Power series (of real variable) including Taylor’s and Maclaurin’s, domain of convergence, term-wise differentiation and integration of power series

 

How to Prepare for JAM 2019 Mathematics – Time-Table

Preparing a proper schedule of what topics should be covered on a particular day is very important for a subject like Mathematics. Unlike other subjects, Mathematics is such a subject that requires to be practiced in the written format which means it is time consuming. While some topics are easy to understand and easy to cover there are others which require a lot of time for understanding and practicing. Prepare a time-table in such a way that you can allot time for both the types of topics in a day.

The last few weeks or the last month before the examination must be allotted completely for revision purposes. Try not to take up anything new and utilize the time to revise what ever you have practiced. Use up the time to solve more and more sample papers and mock tests.

 

How to Prepare for JAM 2019 Mathematics – Books for Reference

Topics

Books

Functions of One Variable

Mathematical Analysis - S.C. Malik
Mathematical Analysis – Apostol
Principle of Mathematical Analysis - Rudi

Functions of Two Real Variables

Integral Calculus

Mathematical Analysis - H.C. Malik
Calculus - Thomas & Finny
Integral Calculus- Gorakh Prasad

Vector Calculus

Geometry & Vectors – Vasishtha
Calculus – Thomas & Finny

Differential Equations

Ordinary Differential Equations - Earl.A.Coddington
Elementary Differential Equations and Boundary Value Problems - Boyce-Diprima
Ordinary Differential Equation - Peter J. Collins,  G.F. Simmons, M.D. Raisinghania

Real Analysis

Real Analysis – H. L. Royden

Linear Algebra

Scaum's Series
Gilbert Strang – Linear Algebra & its applications
Modern Algebra – A.R. Vasishtha
University Algebra – N.S. Gopalakrishan

How to Prepare for JAM 2019 Mathematics – Solving Previous Year Questions Papers

Solving the sample papers from the previous year will give candidates an idea about the types of questions that can be asked for JAM 2019. The sample papers come with answer keys which will help candidates to check through the answer right away. Candidates are advised to solve the sample papers keeping in mind the timing which will help them tackle the main exam better.

 

IIT JAM Sample Papers

Year

Sample Papers

JAM 2018

Click here

JAM 2017

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JAM 2016

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JAM 2015

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JAM 2014

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JAM 2013

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How to Prepare for JAM 2019 Mathematics – Mock Tests

Mock Tests are available online for each subject. Make sure to try to appear for as many mock tests as possible especially towards the last few weeks before the examination. Mock tests will help you to understand how the exam happens and also help in boosting your confidence for appearing for the exam. Mock tests help in managing time which will make the whole process much easier on the day of the exam.

 

How to Prepare for JAM 2019 Mathematics – Time Management

Time management plays a key role while preparing for the subject like mathematics. With a lot of problems to solve it becomes necessary to sort out which topics need more time and which ones can be completed easily. Learning how to manage time during the preparation period will help candidates to manage time while they are appearing for the examination. Solving the sample papers from the previous years will also help in understanding how to manage time during the examination. Try solving smaller problems using easier methods which will give you more time to look into sums which are lengthy and take up time to be solved.

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