Jammu University 2021 Salary

JUET MCA Entrance Examination Syllabus – 2014

Mathematics: 40%

Percentage, Interest, Profit & Loss, Time & Work, Height & Distance, Stock & Shares, Ratio & Proportion, Average, Fractions etc.

Trigonometry

Calculus & Analytical Geometry.

Differential Equations.

Statistics & Probability.

Modern Algebra & Matrix Theory

Theory of Equations etc.

Fundamentals of Computer Arithmetic:40%

Series – Numeric & Alphabetic.

Logical Reasoning.

Representation of Characters.

Floating Point Representation of numbers.

Fundamentals of Computers.

Boolean Algebra.

Binary Arithmetic etc.

English:20%

Vocabulary.

Grammar and Usage.

English Comprehension etc.

Mathematics

Partial Differentiation, Euler’s Theorem, Double Points, Polar co-ordinate system and its relation with Cartesian co-ordinate system, angle between radius vector and tangent to a curve. Integration and its applications. Calculus of vector-valued functions e.g. gradient, divergence, curl and their properties. De-Moivre’s theorem and its application, exact equations, differential Equations of 2^nd and 3rd order with constant coefficients.

Sets, relations and functions. Groups, subgroups, cyclic groups, quotient groups, and their properties. Group homomorphism and isomorphism. Lagrange’s theorem and its applications. Real number system including least upper bound property. Sequences and their limits. Continuous and discontinuous functions. Equations of Sphere and cone and their elementary properties.

Definition and examples of a ring, ring homomorphism and isomorphism. Vector spaces, subspaces, linearly dependent and linearly independent vectors, basis and dimension of a vector space. Matrix representation of a linear transformation on a vector space and vice-versa. Inverse ofa linear Transformation.

Types of matrices rank of a matrix. Applications of Cayley- Hamilton theorem. Mean variance and moment generating functions of Binomial, Poisson and normal distributions.