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).
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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)
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
Surds, solution of simultaneous and quadratic equations, arithmetic, geometric and harmonic progression, Binomial theorem for any index, logarithms, exponential and logarithmic series, determinants
Definition, dependent and independent events, numerical problems on addition and multiplication of probability, theorems of probability
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 of the straight lines, pair of straight lines, circle, parabola, ellipse and hyperbola and their properties
Position vector, addition and subtraction of vectors, scalar and vector products and their applications
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
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
Theory of probability, Mean, Median, Mode, Dispersion and Standard Deviation
Syllabus for Aptitude Test for MCA (Second year/ Lateral Entry)
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
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
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
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