University of Pune MCA Entrance Exam

Can you provide me the Entrance Exam syllabus of MCA (Master in Computer Application) Program offered by Department of Computer Science of University of Pune?

[pawan]

Any Science Graduate (including B.C.A. under Science Faculty) with Mathematics at 10+2 Level can apply for admission in MCA (Master in Computer Application) Program offered by Department of Computer Science of University of Pune.

Syllabus for Entrance Examination:

The entrance examination consists of multiple choice (objective type) questions, and covers the areas of Mathematics, General Aptitude and English Language.

Mathematics Syllabus:

Set theory: Set operations, relations, functions.

Propositional logic: Formulation, deduction, evaluation, puzzles.

Linear Algebra: Solution of a system of linear equations. Determinant and inverse of a matrix, basic properties of matrices

Co-ordinate Geometry and Conic Sections: Equations of lines and planes, vector products; definitions and properties of conic sections.

Trigonometry: Identities, computation of heights and lengths.

Differential Calculus: Total and partial differentiation, limit of a function.

Integral Calculus: Definite and indefinite integrals, solution of differential equations,
computation of areas and volumes.

Series and sequences: sum, mean, convergence, limit.

Real and complex numbers: surds, solution of equations on complex domain.

Polynomials: solution of quadratic equations, properties of roots of polynomials with real coefficients, binomial expansion, Taylor series.

Permutations and Combinations.

Elementary Probability Theory: Computing probability from combinatorial reasoning, conditional probability.