As per your query I am providing you the complete syllabus of MCA for IIT JAM.

IIT JAM Computer Applications Syllabus
Exam Pattern: Fully Objective type paper

Subject Weightage: Mathematics(60% weightage), Computer Awareness (30% weightage), Analytical Ability and General Awareness (15% weightage)

Marking Scheme: negative marking (one third).

IIT JAM Model Paper

Mathematics Syllabus:

Algebra: Set theory and its simple applications. Basic concepts of groups, fields and vector spaces.

Matrices: Rank of a matrix. Existence and uniqueness of solution of a system of linear equations. Eigenvalues and Eigenvectors. Inverse of a matrix by elementary transformations.

Differential Calculus: Differentiation, Partial differentiation, Taylor series and approximate calculations. Maxima and minima of functions of one and two variables.

Integral Calculus: Single and multiple integration. Definite integrals, Change of order and change of variables. Applications to evaluation of area, surface and volume.

Differential Equations: First order differential equations, linear differential equations of higher order with constant coefficients.

Vector Algebra: Addition, subtraction, dot product, cross product, triple product and their applications.

Numerical Analysis: Solution of non-linear equations using iterative methods. Interpolation (Lagrange’s formula and Newton’s formula for equidistant points). Numerical differentiation and integration (Trapezoidal and Simpson’s rules).

Probability: Basic concepts of probability theory. Binomial and Poisson distributions.

Linear Programming: Formulation and its graphical solution for two variable problems.

Compter Awareness Syllabus:

Elements of computers. Number systems. Basic electronic gates. Boolean algebra. Flip-Flops. Algorithmic approach to solve problems. Fundamentals of C language.


Analytical Ability and General Awareness Syllabus:

Simple questions will be asked to test the analytical.

Reference Books for IIT JAM MCA

A text –Book of Vector Calculus by Shanti Narayan
Computer Networks by Tennenbum T
Computer Today by Suresh Basandra
Differential Calculus by Gorakh Prasad
Differential Equations by G.F.Simmons
Digital Circuits and Design by Salivahan
Digital Electronics by Dr. Saroj Rangnekar
Digital Integrated Electronics by H.Taub & D.Shilling
Digital Logic Design by Morries Mano
Digital Principles & application by Malvino
Digital Technology by Virendra Kumar
Elementary Linear Algebra by Chatles W.Curtis(C.W.Curtis)
Elementary Linear Algebra by H.Anton
Fundamental of Computers by P. K. Sinha
Fundamental of Computers by V. Rajaraman
How to solve it by Computer by R. G. Dromy
Integral Calculus by Gorakh Prasad
Introduction to logic Design by Marcovitz
Let us C by Yashwant Kanetkar
Linear Programming by P.K.Gupta & Man Mohan
Mathematical Statistics by Ray & Sharma
Methods of Real Analysis by R.R.Goldberg
MS- Office 2000(For Windows) by Steve Sagman
Ordinary Differential Equations by S.L.Ross
Pointers in C by Yashwant Kanetkar
Programming in C by Balguruswamy
Real Analysis by H.L.Royden
Structured programming approach using C by Forouzah &Ceilberg
The C programming Language by Dennis Ritchie
Unix Concepts and Application by Sumitabha Das
Vector Analysis by Murray R. Spiegel