** ****IIT JAM MATHEMATICS COACHING**

**IIT JAM MATHEMATICS COACHING**

At City Beautiful Chandigarh have been giving IIT JAM Mathematics Coaching since *2008*. * A large number of understudies have cleared IIT-JAM Exam in 1st Attempt*.

We provide the Best Coaching in IIT-JAM Mathematics.We Taking the Regular test to Enhance the performance level with the goal that they Qualify the Exams in Large Numbers.

**IIT – JAM 2020**

**ONLINE Registration**

ONLINE Registration and Application Process |
1ST WEEK September 2019 |

Closure of ONLINE Application Process |
2ND WEEK October 2019 |
---|---|

Announcement of JAM 2019 Result |
2ND WEEK FEB 2020 |

**Test Schedule: February 2020**

**JAM**

**Examination will be conducted ONLINE only as a Computer Based Test (CBT) for all Test Papers.****All the seven Test Papers of JAM 2020 will be of fully objective type, with three different patterns of questions as follows:**

**1.** Multiple Choice Questions (MCQ) : Each MCQ type question has four choices out of which only one choice is the correct answer.

**2.** Multiple Select Questions (MSQ): Each MSQ type question is similar to MCQ but with a difference that there may be one or more than one choice(s) that are correct out of the four given choices.

**3.** Numerical Answer Type (NAT) Questions: For each NAT type question, the answer is a signed real number which needs to be entered using the virtual keypad on the monitor. No choices will be shown for these type of questions.

**IIT-JAM Preparation Tips 2020 for Mathematics:**

**Important Guidelines**

Prepare a timetable that incorporates study hours, practice tests, relaxation time.

Follow the study timetable diligently.

Tests yourself, analyse, revise and follow this for every topic that within a fixed schedule as per the timetable.

Study smartly with a thorough planned preparation and examination-centrist approach.

Complete each practice tests as if it is the actual exam. It’ll ensure a confident approach for the JAM Maths paper.

**Subject Wise Marks Distribution In IIT- JAM Mathematics:**

**Subject Wise Marks Distribution In IIT- JAM Mathematics:**

**TOPICS – MARKS**

**TOPICS – MARKS**

**Linear Algebra – 14 Marks**

Real Analysis – 18 Marks

Abstract Algebra – 10 Marks

Calculus of single variable -17 Marks

Calculus of tow variables – 18 Marks

Vector Calculus – 12 Marks

Differential Equations – 11 Marks

Real Analysis – 18 Marks

Abstract Algebra – 10 Marks

Calculus of single variable -17 Marks

Calculus of tow variables – 18 Marks

Vector Calculus – 12 Marks

Differential Equations – 11 Marks

** ****IIT JAM Mathematics Syllabus:**

**IIT JAM Mathematics Syllabus:**

**Important Topics**

**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

## CSR Mathematics Have Constantly Been Producing** Top Ranks in IIT – Jam Mathematics.**

**Top Ranks in IIT – Jam Mathematics.**

**Important Books**

As it’s said, ‘Books teach you best’, candidates need to refer the books for JAM preparation 2020. However, the candidates may face the situation to choose the correct book among the hundreds of other plying in the market. Exam experts share that while books can provide abundant information for JAM preparation, yet there might be some information which could be irrelevant from the examination view point. Here they (candidates) can check the recommended books by JAM toppers which may help you in completing your JAM 2020 preparation for Mathematics.

**Topics And Books**

**1. Functions of One Variable and Functions of Two Real Variables:-**

Mathematical Analysis – S.C. Malik

Mathematical Analysis – Apostol, Principle of Mathematical Analysis – Rudi

**2. Integral Calculus:-**

Mathematical Analysis – H.C. Malik

Calculus – Thomas & Finny

Integral Calculus- Gorakh Prasad

**3. 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. Rai singhania

**4. Vector Calculus:-**

Geometry & Vectors – Vasishtha

Calculus – Thomas & Finny

**5. Linear Algebra:-**

Scaum’s Series

Gilbert Strang – Linear Algebra & its applications

Modern Algebra – A.R. Vasishtha

University Algebra – N.S. Gopala krishan

**6. Real Analysis:-**

H. L. Royden

**CSR INSTITUTE IN CHANDIGARH, BEST INSTITUTE FOR IIT JAM MATHEMATICS.**

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