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Tips To Crack IIT JAM Exam |

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Re: Tips To Crack IIT JAM Exam
Here I am providing some tips to crack the IIT JAM exam which you are looking for. The applicants can refer NCERT guide for preparation. The applicants can clear their doubts using online forums. This consists of many objective type questions and model papers. applicants should spend time for each subject and cover all the portions. In the end of each unit completion, the candidate can exercise some tests. After their complete preparation, they can try out this model paper. This will help them to know their preparation level and thus they can rectify their mistakes. The applicants can find lot of question papers and mock tests in online. They should commence their preparation at the earliest. By this way, they will get more time to practice mock tests as well they can complete their portions soon. For your idea , here I am providing the syllabus of IIT JAM Maths Syllabus . Sequences, Series and Differential Calculus: Sequences and Series of real numbers: 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. Functions of one variable: limit, continuity, differentiation, Rolle’s Theorem, Mean value theorem. Taylor's theorem. Maxima and minima. Functions of two real variable: limit, continuity, partial derivatives, differentiability, maxima and minima. Method of Lagrange multipliers, Homogeneous functions including Euler’s theorem. Integral Calculus: Integration as the inverse process of differe ntiation, 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 pplications. Calculating volumes using triple integrals and applications. Differential Equations: Ordinary differential equations of the first order of the Mathematical Statistics (MS) test paper comprises of Mathematics (40% weightage) and Statistics (60%weightage). Mathematics Sequences and Series: Convergence of sequences of real numbers, Comparison, root and ratio tests for convergence of series of real numbers. Differential Calculus: Limits, continuity and differentiability of functions of one and two variables. Rolle's theorem, mean value theorems, Taylor's theorem, indeterminate forms, maxima and minima of functions of one and two variables. Integral Calculus: Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes. Matrices: Rank, inverse of a matrix. systems of linear equations. Linear transformations, eigenvalues and eigenvectors. Cayley-Hamilton theorem, symmetric, skew-symmetric and orthogonal matrices. Differential Equations: Ordinary differential equations of the first order of the form y' = f(x,y). Linear differential equations of the second order with constant coefficients. Statistics Probability: Axiomatic definition of probability and properties, conditional probability, multiplication rule. Theorem of total probability. Bayes’ theorem and independence of events. Random Variables: Probability mass function, probability density function and cumulative distribution functions, distribution of a function of a random variable. Mathematical expectation, moments and moment generating function. Chebyshev's inequality. Standard Distributions: Binomial, negative binomial, geometric, Poisson, hypergeometric, uniform, exponential, gamma, beta and normal distributions. Poisson and normal approximations of a binomial distribution. Joint Distributions: Joint, marginal and conditional distributions. Distribution of functions of random variables. Product moments, correlation, simple linear regression. Independence of random variables. Sampling distributions: Chi-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, consistency and efficiency of estimators, method of moments and method of maximum likelihood. Sufficiency, factorization theorem. Completeness, Rao-Blackwell and Lehmann-Scheffe theorems, uniformly minimum variance unbiased estimators. Rao-Cramer inequality. Confidence intervals for the parameters of univariate normal, two independent normal, and one parameter exponential distributions. 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. |

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Re: Tips To Crack IIT Jam Exam
The Joint Admission Test for M.Sc. (JAM) is an admission test to Master of Science (M.Sc.) and other post-graduate science programs at the Indian Institutes of Technology, Indian Institute of Science, and other institutes. IITs started conducting the JAM in the 2004 - 2005 academic session. The JAM IIT paper pattern depends on the subjects one chooses to appear for; it is either descriptive or objective. Subjects offered:Mathematical Statistics Mathematics Chemistry Geophysics Geology Physics Biotechnology Computer Applications IIT JAM Preparation TipsYou have to first make a strict plan to cover up all the chapter (All the chapters should be covered) Take a standard book which is not so hard or not so easy. Average but most importantly in the trend Refer to past question papers Refer to IIT JAM books Useful booksMathematical Methods In The Physical Sciences: Mary L Boas An Introduction to Mechanics: Kleppner and Kolenkow Waves and Oscillations: N.K. Bajaj Introduction to Electrodynamics: David J. Griffiths Quantum Physics: H.C. Verma Solid State Physics: S.O. Pilla |