MCA ENTRANCE EXAM SYLLABUS, ELIGIBILITY CRITERIA, SEATS & EXAM PATTERN

#### UP STATE ENTRANCE EXAMINATION (UPSEE)

Exam Month : April CBT Time : 2 Hrs. Question : 100
Eligibility::
For admission to first year of MCA in any institution affiliated to GBTU, Lucknow & MTU, Noida a candidate must have passed Bachelors degree course of three years minimum duration from any recognized Indian University; or its equivalent, recognized by A.I.U. securing minimum 50% (45% for SC/ST) marks in aggregate. Candidate must have passed Mathematics at 10+2 level or Graduation level.
##### MCA(Computer Based Test) UPSEE
Number of Questions Marks Time Duration
100 objective type questions 400 2 Hours
##### SYLLABUS
1.MATHEMATICS
• 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.
• Calculus: Differentiation of function of functions, tangents and normal, simple examples of maxima of minima, limits of function, integration of function (by parts, by substitution and by partial fraction), definite integral (application to volumes and surfaces of frustums of sphere, cone and cylinder).
• 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.
2. STATISTICS Theory of probability, Mean, Median, Mode, Dispersion and Standard Deviation. 3. LOGICAL ABILITY Questions to test analytical and reasoning capability of candidates.

Note :- All Universities Syllabus is taken from their respective websites. JMA Indore is not responsible for the authenticity of the syllabus data. For any details students should contact Universities website and confirm.