
#2
 
 
Re: Cld iiit
The International Institute of Information Technology IIIT Hyderabad offers CLD Dual Degree Programmes CLD Dual Degree Programmes CLD  B.Tech in Computer Science and Master of Science in Computational Linguistics by Research Admission Eligibility Higher Secondary/Class XII or equivalent in Science stream with Physics and Mathematics For CLD program, a keen interest or work in languages and aptitude for conceptual analysis and Mathematics is essential. Application Fee Rs. 2000. Admission Through entrance exam and interview Examination Pattern Part I Maths (Objective) Part II Aptitude (Obj/Sub) Exam Center Bangalore New Delhi Hyderabad Mumbai Kolkata Bhopal Guwahati Chandigarh Vijayawada Entrance exam syllabus 1. General Aptitude : Logical reasoning, graphic intelligence, language analysis 2. Mathematics syllabus UNIT I. RELATIONS AND FUNCTIONS 1. Relations and Functions: Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations. UNITII: ALGEBRA 1. Matrices: Concept, notation, order, equality, types of matrices, zero matrix,transpose of a matrix, symmetric and skew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simpleproperties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices and existence of nonzero matrices whose product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries). 2. Determinants: Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix. UNITIII: CALCULUS 1. Continuity and Differentiability: Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function.Concept of exponential and logarithmic functions and their derivative. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives. Rolle's and Lagrange's Mean Value Theorems (without proof) and their geometric interpretations. 2. Applications of Derivatives: Applications of derivatives: rate of change, increasing/decreasing functions, tangents & normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as reallife situations). 3. Integrals: Integration as inverse process of differentiation. Integration of a variaty of functions by substitution, by partial fractions and by parts, only simple integrals of the type to be evaluated. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals. 4. Applications of the Integrals: Applications in finding the area under simple curves, especially lines, areas of circles/ parabolas/ellipses (in standard form only), area between the two above said curves (the region should be clearly identifiable). 5. Differential Equations: Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. Solution of differential equations by method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type: dy/dx+ py = q, where p and q are functions of x. UNITIV: VECTORS AND THREEDIMENSIONAL GEOMETRY 1. Vectors: Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit, zero, arallel and collinear vectors), position vector of a point, negativeof a vector, components of a vector, addition of vectors, ultiplication of a vector by a scalar, position vector of a point ividing a line segment in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors. 2. Three  dimensional Geometry: Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes. (iii) a line and a plane. Distance of a point from a plane. UNITV: LINEAR PROGRAMMING 1. Linear Programming: Introduction, definition of related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three nontrivial constraints). UNITVI: PROBABILITY 1. Probability: Multiplication theorem on probability. Conditional probability, independent events, total probability, Baye's theorem, Random variable and its probability distribution, mean and variance of random variable. Repeated independent (Bernoulli)trials and Binomial distribution. 
Sponsored Links 
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Iiit ysr  Unregistered  Main Forum  2  14th April 2018 10:09 AM 
Mun iiit  Unregistered  Main Forum  1  23rd January 2017 09:37 AM 
IIIT Bangalore VS IIIT Delhi  Unregistered  Main Forum  1  9th January 2017 05:00 PM 
Which Is Better IIIT Hyderabad Or IIIT Bangalore  Unregistered  Main Forum  1  2nd August 2016 05:47 PM 
What is IIIT Course  Unregistered  Main Forum  1  29th April 2016 08:58 AM 
IIIT vs NIT  Unregistered  Main Forum  1  17th December 2015 08:34 AM 
IIIT Allahabad VS IIIT Hyderabad  Unregistered  Main Forum  1  17th August 2015 09:18 AM 
Rgu iiit  Unregistered  Main Forum  1  7th August 2015 04:08 PM 
IIIT after SSC  Unregistered  Main Forum  1  20th July 2015 05:26 PM 
IIIT After 10  Unregistered  Main Forum  0  25th June 2015 10:04 AM 
IIIT Delhi or IIIT Allahabad  Unregistered  Main Forum  0  22nd June 2015 08:49 AM 
IIIT Amethi Vs IIIT Jabalpur  Unregistered  Main Forum  0  4th June 2015 12:38 PM 
Iiit cse  Unregistered  Main Forum  0  28th May 2015 04:05 PM 
IIIT Delhi vs IIIT Allahabad  Unregistered  Main Forum  0  25th May 2015 03:45 PM 
Iiit mca  Unregistered  Main Forum  0  7th May 2015 05:01 PM 
Iiit mun  Unregistered  Main Forum  0  7th May 2015 10:52 AM 
IIIT Phd  Unregistered  Main Forum  0  1st May 2015 02:26 PM 
IIIT Hyderabad Vs IIIT Allahabad  Unregistered  Main Forum  0  29th April 2015 09:00 AM 
IIIT Act  Unregistered  Jobs  0  16th April 2015 10:36 AM 
IIIT and NIT  Unregistered  Entrance Exams  0  13th April 2015 01:39 PM 
Thread Tools  Search this Thread 
