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#3
 
 
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 Coordinate 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. 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. Address: University Of Pune Park Rd, Pune University, Ganeshkhind, Pune, Maharashtra 411007 Map: Image:
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#6
 
 
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 
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