# best iit jam coaching institute in delhi physics maths

**IIT-JAM, acronym form of Indian Institute of Technology – Joint Admission Test for M.Sc. An engineering aspirant who has completed his bachelors and is willing to pursue Master degree from India’s reputed IIT’s need to qualify this entrance test. **

**IIT JAM**

JAM aspirants can either opt for M.Sc. or Phd or M.Sc.-Phd Dual degree professional courses offered by the IIT’s and IISc. Although each IIT institute offers specialized courses in its respective manner, you can check the list of courses offered by each IIT and the IISc below which can help you select your preferred institute-

S. No. |
Subjects |
Offered Courses |
Institutes |

1. | Biological Sciences (BL) | M.Sc. – Biotechnology | IIT Indore |

2. | Biotechnology (BT) | M.Sc. Biotechnology | IIT Bombay |

IIT Roorkee | |||

M.Sc.- Ph.D. Dual Degree in Environmental Science and Engineering | IIT Bombay | ||

M.Sc. Biotechnology | IIT Indore | ||

3. | Chemistry (CY) | M.Sc. Chemistry | IIT Bombay |

IIT Delhi | |||

IIT Gandhinagar | |||

IIT Guwahati | |||

IIT Hyderabad | |||

IIT Indore | |||

IIT Kanpur | |||

IIT Madras | |||

IIT Patna | |||

IIT Roorkee | |||

IIT Ropar | |||

Joint M.Sc.- Ph.D. in Chemistry | IIT Bhubaneswar | ||

IIT Kharagpur | |||

M.Sc.- Ph.D. Dual Degree in Environmental Science and Engineering | IIT Bombay | ||

Joint M.Sc.- Ph.D. in Atmosphere and Ocean Sciences | IIT Bhubaneswar | ||

4. | Geology (GG) | M.Sc. Applied Geology | IIT Bombay |

IIT Roorkee | |||

Joint M.Sc.- Ph.D. in Geophysics | IIT Kharagpur | ||

Joint M.Sc.- Ph.D. in Geology | IIT Kharagpur | ||

IIT Bhubaneswar | |||

Joint M.Sc.- Ph.D. in Atmosphere and Ocean Sciences | IIT Bhubaneswar | ||

5. | Mathematics (MA) | M.Sc. in Economics | IIT Roorkee |

M.Sc. Mathematics | IIT Bombay | ||

IIT Delhi | |||

IIT Gandhinagar | |||

IIT Indore | |||

IIT Kanpur | |||

IIT Madras | |||

IIT Patna | |||

IIT Ropar | |||

IIT Roorkee | |||

M.Sc. Mathematics / Mathematics and Computing | IIT Hyderabad | ||

M.Sc. Mathematics and Computing | IIT Guwahati | ||

Joint M.Sc.- Ph.D. in Mathematics | IIT Bhubaneswar | ||

IIT Kharagpur | |||

M.Sc.- Ph.D. Dual Degree in Operations Research | IIT Bombay | ||

M.Sc.- Ph.D. Dual Degree in Environmental Science and Engineering | IIT Bombay | ||

Joint M.Sc.- Ph.D. in Atmosphere and Ocean Sciences | IIT Bhubaneswar | ||

6. | Mathematical Statistics (MS) | M.Sc. in Economics | IIT Roorkee |

M.Sc. Applied Statistics and Informatics | IIT Bombay | ||

M.Sc.- Ph.D. Dual Degree in Operations Research | IIT Bombay | ||

M.Sc. Statistics | IIT Kanpur | ||

Joint M.Sc.- Ph.D. in Atmosphere and Ocean Sciences | IIT Bhubaneswar | ||

7. | Physics (PH) | M.Sc. Physics | IIT Bombay |

IIT Delhi | |||

IIT Guwahati | |||

IIT Gandhinagar | |||

IIT Hyderabad | |||

IIT Indore | |||

IIT Kanpur | |||

IIT Madras | |||

IIT Patna | |||

IIT Roorkee | |||

IIT Ropar | |||

Joint M.Sc.- Ph.D. in Physics | IIT Bhubaneswar | ||

IIT Kharagpur | |||

M.Sc.- Ph.D. Dual Degree in Physics | IIT Kanpur | ||

M.Sc. Applied Geophysics | IIT Bombay | ||

Joint M.Sc.- Ph.D. in Atmosphere and Ocean Sciences | IIT Bhubaneswar | ||

Joint M.Sc.- Ph.D. in Geophysics | IIT Kharagpur | ||

M.Sc.- Ph.D. Dual Degree in Environmental Science and Engineering | IIT Bombay |

**IIT JAM Eligibility**

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 main objective of JAM is to provide admissions to various M.Sc., M.Sc.-Ph.D. dual-degree and other post-graduate programs based on the performance in a single test. In due course, JAM is also expected to become a benchmark for normalising undergraduate-level science education in the country.

As of 2014, the following are the full-time M.Sc. (two-year), Joint M.Sc.-Ph.D., M.Sc.-Ph.D. Dual Degree, M.Sc.-M.Tech., and other post-bachelor’s degree programs at different IITs, and Integrated Ph.D. Programs at IISc to which admission shall be made on the basis of JAM

The IIT JAM Examination is conducted online and in English only. There are seven papers (objective questions) on the following subjects:

- Biological Sciences (BL)
- Biotechnology (BT)
- Chemistry (CY)
- Geology (GG)
- Mathematics (MA)
- Mathematical Statistics (MS)
- Physics (PH)

Each paper is divided into three sections, consisting of 30 multiple-choice questions, 10 multiple-select questions and 20 numerical-answer questions. The duration of the exam is 3 hours.

**IIT JAM **

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

**Vector Calculus:** 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.

**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 (only group theory).

**Linear Algebra:** 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.

**Real Analysis:** 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.

**IIT JAM Mathematical Statistics (MS)**

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.

The Master of Science (M.Sc. two years), Joint M.Sc-PhD, M.Sc-PhD Dual Degree and other post-bachelor’s degree programmes at the IITs and the integrated PhD programmes at IISc offer high quality education in their respective disciplines, comparable to the best in the world. The curricula for these programmes are designed to provide the students with opportunities to develop academic talent leading to challenging and rewarding professional life. The curricula are regularly updated at IISc, Bangalore and IITs. The interdisciplinary content of the curricula equips the students with the ability to utilize scientific knowledge for practical applications.

From the Academic Session 2004-05, Indian Institutes of Technology have started conducting a Joint Admission Test for M.Sc. (JAM). The objective of JAM is to provide admissions to M.Sc. (Two Year), Joint M.Sc-PhD, M.Sc-PhD Dual Degree and other Post-Bachelor’s Degree programmes at the IITs and to the Integrated PhD programmes at IISc and to consolidate Science as a career option for bright students from across the country. IISc Bangalore is joining the JAM for the first time this year (2013) to select candidates to its Integrated PhD Programmes. The integrated PhD programmes at IISc was started in the early 90’s to enable students to directly join for a PhD degree after their B.Sc. Degree.

** Gurukul Institute **offers classroom **Coaching for** **IIT-JAM Physics**, **IIT-JAM Chemistry **and** ****IIT-JAM Mathematics **respectively. Beside this, we also provide Correspondence Course i.e. **Study Material for** **IIT-JAM Physics**, **IIT-JAM Chemistry **and** ****IIT-JAM Mathematics **to those students who are unable to attend our classroom study courses.