IIT Roorkee
Exam Month : Feb , Time : 3 Hrs. , Question : 100 , Seats : 48
Minimum Educational Qualifications for Admission:
Bachelor’s degree with Mathematics as a subject for at least one year for annual system candidates/ at least two papers of Mathematics for semester system candidates.
Eligibility Requirements for Admission:
The candidates who qualify in JAM shall have to fulfill the following eligibility criteria for admissions in IITs.
i. At least 55% aggregate marks (taking into account all subjects, including languages and subsidiaries, all years combined) for General/OBC category candidates and at least 50% aggregatemarks (taking into account all subjects, including languages and subsidiaries, all years combined) for SC, ST and PD category candidates in the qualifying degree.
For candidates with letter grades/CGPA (instead of percentage of marks), the equivalence in percentage of marks will be decided by the Admitting Institute(s).
Exam Pattern
The questions for Biological Sciences (BL), Biotechnology (BT) and Computer Applications (CA) test papers will be fully objective type. There will be negative marking for wrong answers to the objective type questions in BL, BT and CA test papers. Candidates will get negative 1/3 for a wrong answer. These test papers have to be answered in an Objective Response Sheet (ORS) by darkening appropriate bubbles using black ink ball point pen. Since the ORS will be evaluated by electronic means, it is imperative that the instructions given on the ORS are carefully read and followed by the candidates.
All other test papers will be objective-cum-descriptive type. There will be a “question-cum-answer booklet” for each of these six test papers. Answers to various questions are to be given at appropriate places in the “question-cum-answer booklet” itself. No supplementary sheet will be provided. Each of these six test papers will have multiple choice type questions(MCQ), fill-in-blank type questions, and subjective type questions, carrying weightages of 20%, 30% and 50%, respectively. The objective type questions in these test papers will have four choices as possible answers, of which, only one will be correct. There will benegative marking for wrong answers to the objective type questions. Each objective type question carries 02 marks for a correct answer and negative 0.50 marks for a wrong answer.
Syllabus
The Computer Applications (CA) test paper comprises of Mathematics, Computer awareness, and Analytical ability and General awareness and they will be in the ratio 4:2:1.
MATHEMATICS
Algebra: Set theory and its simple applications. Basic concepts of groups, fields and vector spaces.
Matrices: Rank of a matrix. Existence and uniqueness of solution of a system of linear equations. Eigenvalues and Eigenvectors. Inverse of a matrix by elementary transformations.
Differential Calculus: Differentiation, Partial differentiation, Taylor series and approximate calculations. Maxima and minima of functions of one and two variables.
Integral Calculus: Single and multiple integration. Definite integrals, Change of order and change of variables. Applications to evaluation of area, surface and volume.
Differential Equations: First order differential equations, linear differential equations of higher order with constant coefficients.
Vector Algebra: Addition, subtraction, dot product, cross product, triple product and their applications.
Numerical Analysis: Solution of non-linear equations using iterative methods. Interpolation (Lagrange’s formula and Newton’s formula for equidistant points). Numerical differentiation and integration (Trapezoidal and Simpson’s rules).
Probability: Basic concepts of probability theory. Binomial and Poisson distributions.
Linear Programming: Formulation and its graphical solution for two variable problems.
COMPUTER AWARENESS
Elements of computers. Number systems. Basic electronic gates. Boolean algebra. Flip-Flops. Algorithmic approach to solve problems. Fundamentals of C language.
ANALYTICAL ABILITY AND GENERAL AWARENESS
Simple questions will be asked to test the analytical ability and general awareness of candidates.