*Pune MCA Entrance Syllabus Pattern Pune University 2020.*

**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.

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