Hi student,

Exam pattern:

• The question paper of ISI Admission Test will be of 100 marks.
• The exam duration is 4 hours and consists of 2 parts. The duration of time needed to finish each section is 2 hours.
• The section A of the test contains multiple choice questions in Mathematics and logical reasoning. The questions are of the undergraduate level.
• The section B of the test contains descriptive, short answer questions from Mathematics, Statistics, Computer Science, Physics, and Engineering & Technology.
• The first section is of 30 marks, whereas the second section is of 70 marks.
• Candidates who are applying for admission into M.Tech in Quality, Operations & Reliability will find two parts in section B.
• The first part is for candidates who are from statistics/maths stream. The second part is for candidates who are from engineering stream.
• Candidates who are applying for admission into M.Tech in CS will find five parts in Section B.
• Candidates have to attempt only one section out of the 5 sections: Mathematics, Statistics, Physics, Computer Science and Engineering & Technology.

Syllabus for undergraduate program:

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

• Geometry : Plane geometry. Geometry of 2 dimensions with Cartesian and polar coordinates. Equation of a line, angle between two lines, distance from a point to a line. Concept of a Locus. 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. Limits and continuity. Derivatives and methods of differentiation. Slope of a curve. Tangents and normals. Maxima and minima. Using calculus to sketch graphs of functions. Methods of integration, definite and indefinite integrals, evaluation of area using integrals.

Hope it helps.

Good luck.