DIPS ACADEMY has truly been one of the most profound learning experience where I gained the confidence to move ahead in my carrer with the opportunity to put myself on the forefront in dealing mathematics. DIPS programme is very well designed with very helpful test series. Dubey Sir and other faculty are superb. The lectures of Dubey Sir are the most intersting and inspiring.
I am very contented with the dips family specially dubey sir, he's an excellent mentor with amazing teaching skills.The mathematical atmosphere along with one to one interaction, dips material and doubt clearing sessions provided by DIPS ACADEMY were very helpful throughout the journey.
" The guidance of Dubey Sir, a teacher with immense knowledge and wonderful teaching skills, was of great help for me. His approach towards tackling problems, in particular, is pecular and worth emulating I thank him for his invaluable guidance and continuous motivation. "
I'm Mamta Kumari and I secured AIR 47 in IIT - JAM Mathematics. I am very thankful to Dubey Sir, Amit Sir and all the other faculty members for their teachings and guidance. The classes used to be very interactive and environment was very positive for learning. I have learned a lot from Dips academy and I'm very thankful to all the faculties for teaching us the actual meaning of Mathematics in the best possible way.
| IIT-JAM STATISTICS TEST SERIES 2021 |
||||
| # | DATE | TEST TYPE | MODULES | Syllabus |
|---|---|---|---|---|
| 1 | 05-Jan-21 | MWT-01 | Basic Probability and Random Variables | 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. |
| 2 | 08-Jan-21 | MWT-02 | Standard Distribution | Standard Distributions: Binomial, negative binomial, geometric, Poisson, hypergeometric, uniform, exponential, gamma, beta and normal distributions. Poisson and normal approximations of a binomial distribution. Sampling distributions: Chi-square, t and F distributions, and their properties. |
| 3 | 11-Jan-21 | MWT-03 | Joint Distributions | Joint Distributions: Joint, marginal and conditional distributions. Distribution of functions of random variables. Joint moment generating function. Product moments, correlation, simple linear regression. Independence of random variables. |
| 4 | 14-Jan-21 | MWT-04 | Estimation | 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. |
| 5 | 17-Jan-21 | MWT-05 | Testing of Hytothesis & Limit Theorem | Limit Theorems: Weak law of large numbers. Central limit theorem (i.i.d.with finite variance case only).Chebyshev's inequality. Testing of Hytothesis: Basic concepts, applications of Neyman-Pearson Lemma for testing simple and composite hypotheses. Likelihood ratio tests for parameters of univariate normal distribution. Basic concepts, applications of Neyman-Pearson Lemma for testing simple and composite hypotheses. Likelihood ratio tests for parameters of univariate normal distribution. |
| 6 | 20-Jan-21 | MWT-06 | Real Analysis | 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. |
| 7 | 23-Jan-21 | MWT-07 | Linear Algebra | Matrices: Rank, inverse of a matrix. Systems of linear equations. Linear transformations, eigenvalues and eigenvectors. Cayley-Hamilton theorem, symmetric, skew-symmetric and orthogonal matrices. |
| 8 | 26-Jan-21 | MWT-08 | Integral Calculus | Integral Calculus: Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes. |
| 9 | 29-Jan-21 | FLT-01 | Full Length Test | As per Exam Pattern. |
| 10 | 01-Feb-21 | FLT-02 | Full Length Test | As per Exam Pattern. |
| 11 | 04-Feb-21 | FLT-03 | Full Length Test | As per Exam Pattern. |
| 12 | 07-Feb-21 | FLT-04 | Full Length Test | As per Exam Pattern. |
DIPS ACADEMY has truly been one of the most profound learning experience where I gained the confidence to move ahead in my carrer with the opportunity to put myself on the forefront in dealing mathematics. DIPS programme is very well designed with very helpful test series. Dubey Sir and other faculty are superb. The lectures of Dubey Sir are the most intersting and inspiring.
I am very contented with the dips family specially dubey sir, he's an excellent mentor with amazing teaching skills.The mathematical atmosphere along with one to one interaction, dips material and doubt clearing sessions provided by DIPS ACADEMY were very helpful throughout the journey.
" The guidance of Dubey Sir, a teacher with immense knowledge and wonderful teaching skills, was of great help for me. His approach towards tackling problems, in particular, is pecular and worth emulating I thank him for his invaluable guidance and continuous motivation. "
I'm Mamta Kumari and I secured AIR 47 in IIT - JAM Mathematics. I am very thankful to Dubey Sir, Amit Sir and all the other faculty members for their teachings and guidance. The classes used to be very interactive and environment was very positive for learning. I have learned a lot from Dips academy and I'm very thankful to all the faculties for teaching us the actual meaning of Mathematics in the best possible way.
