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Pune University MCA Entrance Exam Syllabus |

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Re: Pune University MCA Entrance Exam Syllabus
Pune University, department of computer science conducts MCA Entrance Examination Syllabus for PU MCA Entrance Exam -- The 3 main subjects are: English language Mathematics General Aptitude English Language-- Synonyms Antonyms Sentence Correction Comprehension Mathematics-- Elementary Probability Theory Permutations and Combinations. Polynomials Real and complex numbers Series and sequences Integral Calculus Differential Calculus Trigonometry Set theory Co-ordinate Geometry and Conic Sections Propositional logic Linear Algebra General Aptitude-- Numerical Reasoning Data interpretation Logical reasoning Detailed Syllabus of 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. 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. Address:University Of Pune Park Rd, Pune University, Ganeshkhind, Pune, Maharashtra 411007 Map:Image:
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Re: Pune University MCA Entrance Exam Syllabus
MCA Sem I Subject CS 103- Mathematical Foundation 1. SET THEORY [5 Lectures] 1.1 Sets, Subsets 1.2 Operations on Sets 1.3 De Morgan’s Laws 1.4 Power Set of a Set 1.5 Cartesian Product 1.6 Equivalence relation 1.7 Partition of a Set 1.8 Partial order on a set 2. INTRODUCTION TO ALGEBRA Relations [3 Lectures] Ordered Pairs, Cartesian product of Sets. Relations, types of relations, equivalence relations, Partial Ordering. Equivalence Class, Properties of Equivalence Class. Function [2 Lectures] Definition of function as relation Injective, Surjective function , Bijective function Composition of two functions, Inverse Function 2.3 Divisibility of Integers [3 Lectures] 2.3.1 Definition and Properties 2.3.2 Division Algorithm 2.3.3 Divisibility and its properties 2.3.4 GCD, Euclidean Algorithm 2.3.5 Properties of GCD 2.4 Modular Arithmetic [5 Lectures] 2.4.1 Congruence relation 2.4.2 Application of congruence. 2.4.3 Modular exponentiation |