





UNIVERSITY OF PUNE 

MCA ENTRANCE SYLLABUS 

Mathematics 

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.
Coordinate 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.


*As per MCA Entrance Notification 2013 

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