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    Indian Statistical Institute(ISI)

    Founded by Professor P.C. Mahalanobis in Kolkata on 17th December, 1931, the Indian Statistical Institute gained the status of an Institution of National Importance by an act of the Indian Parliament in 1959.

    The Headquarters of ISI is located in Kolkata. Additionally there are four centres located in Delhi, Bangalore, Chennai and Tezpur. Research in Statistics and related disciplines is the primary activity of the Institute. Teaching activities are undertaken mainly in Kolkata, Delhi and Bangalore.

    Under Graduate Programmes offered by ISI:

    Bachelor of Statistics (Honours) [B STAT (HONS)] – offered only in Kolkata

    This three-year degree programme offers comprehensive instruction in the theory, methods & application of Statistics, in addition to several areas of Mathematics and some basic areas of Computer Science.

    Bachelor of Mathematics (Honours) [B MATH (HONS)] – offered only at Bengaluru campus.

    This three-year degree programme offers comprehensive instruction in basic Mathematics along with rudimentary courses in Probability, Statistics, Computing and Physics.

    Eligibility

    An applicant should have successfully completed 10+2 years of Higher Secondary Education (or its equivalent) with Mathematics and English as subjects of study.

    Selection Procedure

    All applicants for this programme, except the INMO AWARDEES , will have to appear for two written tests comprising of multiple-choice type and descriptive questions in Mathematics at the 10+2 level. Based on performance in the written tests, a number of candidates are called for interviews.

    The written test is waived for applicants who have been selected as INMO AWARDEES to participate in the International Mathematics Olympiad Training Camp (IMOTC) in the current year or in any previous year.

    The final selection of candidates for admission to the programme is based on performance in the two written tests (unless waived) as well as the interviews and the final list of candidates selected for admission is announced after completion of all the interviews.

    Important Dates

    On-line Application 09 February 2016 TO 18 March 2016
    Payment of Application Fee 11 February 2016 TO 23 March 2016
    Issue of Admit Card/info booklet via post/portal Starts April 04, 2016
    ISI Admission Test 08 May 2016

    Test Pattern:

    Two papers are to be attempted. UGA to be held from 10.30 am to 12.30 pm UGB to be held from 2.00 pm to 4.00 pm.
    UGA is a multiple choice examination with one answer choice. 28-30 questions
      Four marks for each correct answer
      One mark for each unanswered question
      Zero marks for each incorrect answer.
      Duration – 2 hrs
    UGB is a descriptive paper. All questions carry equal marks. 6-8 questions   Duration - Two hours. Credit will be given to a partially correct answer.

    Syllabus

    Algebra and number theory

    Sets, operations on sets. Prime numbers, factorization of integers and divisibility. Rational and irrational numbers. Permutations and combinations, Binomial Theorem. Logarithms. Polynomials: relations between roots and coefficients, Remainder Theorem, Theory of quadratic equations and expressions. Arithmetic and geometric progressions. Inequalities involving arithmetic, geometric & harmonic means. Complex numbers.

    Geometry

    Class X level plane geometry. Geometry of 2 dimensions with Cartesian and polar coordinates, concept of a locus, equation of a line, angle between two lines, distance from a point to a line, area of a triangle, equations of circle, parabola, ellipse and hyperbola and equations of their tangents and normals, mensuration.

    Trigonometry

    Measures of angles, trigonometric and inverse trigonometric functions, trigonometric identities including addition formulae, solutions of trigonometric equations, properties of triangles, heights and distances.

    Calculus

    Sequences - bounded sequences, monotone sequences, limit of a sequence. Functions - one-one functions, onto functions. Limit, continuity and differentiability of functions of a single real variable. Derivatives and methods of differentiation, slope of a curve, tangents and normals, maxima and minima, use of calculus in sketching graphs of functions. Methods of integration, definite and indefinite integrals, evaluation of areas using integrals.



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