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  #2  
Old July 13th, 2012, 04:31 PM
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Educhamp
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Default Re: Pune University MCA Entrance Exam Syllabus

As per your requirement here I am giving you the Pune University MCA Entrance Exam Syllabus of Mathematics
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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  #3  
Old February 16th, 2014, 11:32 AM
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Sashwat
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Default 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:



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  #4  
Old January 12th, 2015, 05:23 PM
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Default Re: Pune University MCA Entrance Exam Syllabus

Hello, I am appearing in the entrance exam to get admission in Pune University to do MCA and i wanted to know the syllabus for MCA entrance exam 2015. So, can you please provide me the syllabus for that.
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  #5  
Old January 16th, 2015, 01:53 PM
kiran22
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Default Re: Pune University MCA Entrance Exam Syllabus

Thank you for this great details ...
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  #6  
Old January 28th, 2015, 01:14 PM
hellojagdish
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Default 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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