As you asking for the IIT JAM MCA Entrance Test Syllabus , the syllabus of the IIT JAM MCA entrance Test is as follows:


Syllabus for IIT JAM MCA

Mathematics

Matrices

Eigenvalues
Eigenvectors
Inverse of a matrix
Rank of a matrix
System of linear equations

Differential Calculus

Differentiation
Maxima and minima of functions
Partial differentiation
Taylor series

Algebra

Set theory
Groups
Fields
Vector spaces

Integral Calculus

Single Integration
Multiple Integration
Definite integrals
Applications to evaluation of area, surface and volume

Differential Equations

First order differential equations
Linear differential equations of higher order

Numerical Analysis

Solution of non-linear equations using iterative methods
Interpolation
Numerical differentiation and integration
Probability
Probability theory
Binomial distribution
Poisson distribution
Linear Programming

Vector Algebra

Addition
Subtraction
Dot product
Cross product
Triple product

Number Systems

Algorithmic approach to solve problems
Basic electronic gates
Boolean algebra
Flip-Flops
Fundamentals of C language

books :

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