UPTU-UPSEE MCA 2014 Syllabus
Nafisa Khatoon, 04 Jun 2014, #UPSEE
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UPTU-UPSEE MCA 2014 Syllabus: The entrance examination of Uttar PradeshState Entrance Examination MCA 2014 is scheduled to be held on April 27, 2014. Candidates desirous of appearing UPSEE MCA 2014 have to take computer based test (for both first/second year of MCA course).

For queries and doubts, call UPSEE MCA 2014 Exam Helpline at 011-40360360

Click Here to Enroll for Expert guidance for UG Entrance Preparation, Counseling and college selection.

 The entrance exam will be conducted by Uttar Pradesh Technical University (UPTU), Lucknow to offer admission to first/second year of MCA course at government fully or semi aided and private institutes located in Uttar Pradesh.

This article provides information on both first/second year of UPSEE MCA 2014 Syllabus as well as important topics to aid exam preparation of candidates.

Read here paper pattern of UPSEE MCA 2014.


Syllabus for Aptitude Test for MCA (First year)

Sections

Topics

Modern Algebra

Idempotent law, identities, complementary laws, Demorgan’s theorem, mapping, inverse relation, equivalence relation, Piano’s Axiom, definition of rational numbers and integers through equivalence relation

Algebra

Surds, solution of simultaneous and quadratic equations, arithmetic, geometric and harmonic progression, Binomial theorem for any index, logarithms, exponential and logarithmic series, determinants

Probability

Definition, dependent and independent events, numerical problems on addition and multiplication of probability, theorems of probability

Trigonometry

Simple identities, trigonometric equations, properties of triangles, use of mathematical tables, solution of triangles, height and distance, inverse functions, DeMoiver’s theorem

Co-Ordinate Geometry

Co-ordinate geometry of the straight lines, pair of straight lines, circle, parabola, ellipse and hyperbola and their properties

Vectors

Position vector, addition and subtraction of vectors, scalar and vector products and their applications

Dynamics

Velocity, composition of velocity, relative velocity, acceleration, composition of acceleration, motion under gravity, projectiles, laws of motions, principles of conservation of momentum and energy, direct impact of smooth bodies, pulleys

Statics

Composition of co-planar, concurrent and parallel forces, moments and couples, resultant of set of coplanar forces and conditions of equilibrium, determination of Centroides in simple case, problems involving friction

Statistics

Theory of probability, Mean, Median, Mode, Dispersion and Standard Deviation

Syllabus for Aptitude Test for MCA (Second year/ Lateral Entry)

Sections

Topics

Important Sub-Topics

 

 

 

 

 

 

 

1-MATHEMATICAL STRUCTURES

Modern Algebra and Matrices

Algebraic structures and general properties,

semigroups, groups. Rings and Fields: definitions, elementary properties and standard results. Matrices, operation on matrices, Inverse and rank of a matrix, Eigen values, eigenvectors and system of linear equations

Set Theory

Introduction, sets and cardinals, combination of sets, multisets and set identities. Relations - definition, operations on relations, composite relations, properties of relations, partial order relations. Functions - definition, classification of functions,

operations on functions, recursively defined functions

Number Theory and Methods of Proof

Natural numbers, factorization and prime numbers, floor and ceiling functions. Methods of proof Introduction, direct and indirect methods of proof, mathematical Induction

Combinatorics & Probabilit

Introduction, counting techniques, Pigeonhole

principle. Probability –definition, sample space, algebra of events, axioms of probability,

prior and posterior probability, Bayes theorem

 

 

 

 

2-      COMPUTING CONCEPTS

Principles of Computer Science

Computer organization - evaluation of computers, computer arithmetic, control design, processor design, input output organization,

memory organization. Data Structures – Arrays, lists, stacks, queues. Trees and graphs -definition, properties and applications. Analysis of algorithms

Proposition logic & Boolean Algebra

Propositions, truth tables, tautology, contradiction, algebra of propositions. Binary systems, axioms and theorems of Boolean

algebra, Boolean functions and digital circuits

Numerical Techniques

Floating point Arithmetic, solution of the system of linear equations, roots of polynomials, interpolation and curve fitting

Theory of Computation

Finite-state machines, regular and non-regular languages, Turing machines and applications

3-      REASONING ABILITY

 

Questions in this part will be aimed to assess the reasoning and logical ability of the

candidates

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