Hello

Joint Admission Test (JAM) is conducted for admissions into MSc and related postgraduate science programmes.

For preparation of the JAM exam, right choice of books is necessary. You can start your preparation by referring to your graduation books.

All the Best!

Hi,

IIT JAM is an entrance examination conducted for providing admission to the students in around a number of programmes including M.Sc, Joint M.Sc-Ph.D, M.Sc PhD dual programme, integrated PhD, M.Sc-M.Tech and M.Sc-M.S (Research) at IITs, IISc, IISER and NIT.

The eligibility criteria is different for each vourse however the general and the OBC students have to score 55% marks while the other reserved categories have to score 50% in their graduation to be eligible for the exam.

you can check the pattern, details and the syllabus alongwith the detailed information in the link below.

https://www.google.com/amp/s/university.careers360.com/articles/jam/amp

JAM Mathematical Statistics Syllabus 2020

For Mathematics:-

Sequences and Series - Comparison, Root and Ratio Tests for Convergence of Series of Real Numbers, Convergence of Sequences of Real Numbers.

Differential Calculus - Limits, Continuity and Differentiability of Functions of One and Two Variables. Rolle's Theorem, Mean Value Theorems, Indeterminate Forms, Taylor's Theorem, Maxima and Minima of Functions of One and Two Variables.

Integral Calculus - Fundamental Theorems of Integral Calculus, Applications of Definite Integrals, Arc Lengths, Double and Triple Integrals, Areas and Volumes.

Matrices - Rank, Inverse of a Matrix, Systems of Linear Equations, Eigenvalues and Eigenvectors, Linear Transformations, Symmetric, Cayley-Hamilton Theorem, Skew-Symmetric and Orthogonal Matrices.

For Statistics:-

Probability - Axiomatic Definition of Probability and Properties, Multiplication Rule, Theorem of Total Probability, Conditional probability, Bayes' Theorem and Independence of Events

Random Variables - Probability Mass Function, Distribution of a Function of a Random Variable, Mathematical Expectation, Probability Density Function and Cumulative Distribution Functions, Moments and Moment Generating Function, Chebyshev's Inequality.

Standard Distributions - Geometric, Binomial, Negative Binomial, Poisson, Hypergeometric, Uniform, Beta and Normal Distributions, Exponential, Gamma. Poisson and Normal Approximations of a Binomial Distribution.

Joint Distributions - Joint, Marginal and Conditional Distributions, Distribution of Functions of Random Variables, Joint Moment Generating Function, Correlation, Simple Linear Regression, Product Moments, Independence of Random Variables.

Sampling distributions - Square, T and F Distributions and their Properties.

Limit Theorems Weak Law of Large Numbers, Central Limit Theorem (i.i.d.with Finite Variance Case only).

Estimation - Unbiasedness, Method of Moments and Method of Maximum Likelihood, Consistency and Efficiency of Estimators. Sufficiency, Factorization Theorem, Rao-Blackwell and Lehmann-Scheffe Theorems, Completeness, Uniformly Minimum Variance Unbiased Estimators, Confidence Intervals for the Parameters of Univariate Normal, Two Independent Normal, and one Parameter Exponential Distributions. Rao-Cramer Inequality

Testing of Hypotheses - Basic Concepts, Applications of Neyman-Pearson Lemma for Testing Simple and Composite Hypotheses, Likelihood Ratio Tests for Parameters of Univariate Normal Distribution.

For more details, kindly visit the following link-

https://university.careers360.com/articles/how-prepare-jam-mathematical-statistics

Hello Aspirant,

As per the eligibility, You should be Graduate or should be in the final year of the qualifying Exam to appear for IIT JAM Entrance Exam.

You can check the further eligibility to appear for the Exam to go through with the given below link.

https://university.careers360.com/articles/jam-eligibility-criteria

Good Luck!

Yes, B.Tech studentscanappear for theIIT JAMin thefinal yearof their graduation if they fulfil the eligibility criteria for the same.
Candidates having any bachelor's degree are eligible to write IIT JAM exam, but you should have at least 55% marks in your bachelor's degree if you are from general and OBC.

Hi,

IIT JAM is a national level examination organized to offer admission into M.Sc. (four semesters), M.Sc. Ph.D., and M.Sc. Ph.D. dual degree etc. programmes at IITs.

Besides having a minimum bachelor's degree, for specific branches, specific subjects are required.

Some of the branches like M.Sc. Biotechnology are open for any branch that the candidate has pursued before while other branches require pre-requisite knowledge of subjects.

M.Sc. Astronomy also takes up candidates that have mechanical degree.

Hope this helps.

Hello,
.
Yes, you are eligible for JAM IIT entrance.
As Both the courses are related to biology
Just the difference is you have done under graduation and now you are doing post graduation.
.
But the good thing is, you have choosed both the biological courses.
Which is  helping you to attempt exam.
.
Hope this was helpful.
Thank you

Hello,
.
Not every college or course need maths as a compulsory subject.
.
moreover rather then colleges there are some particular Courses Which need maths as compulsory.
.
But as you said you want to study biotechnology.
There's no need of math's as a compulsory subject in +2 classes.You can opt it.
.
Hope this was helpful.
Thank you

• 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, Rolles 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 Eulers 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). Bernoullis 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 Taylors and Maclaurins, domain of convergence, term-wise differentiation and integration of power series.

Go through the link for more information regarding IIT JAM maths 2020-

https://www.google.com/amp/s/university.careers360.com/articles/how-prepare-jam-mathematics/amp

Dear aspirant, as you have not mentioned your category so the general seats for IIT Bombay and IIT Roorkee are 14 and 18 seats for general category, For detailed information about the seat distribution for other category as well you may follow the link below:

https://university.careers360.com/articles/jam-seats

Hope it helps.

All the best:)