# TIFR GS Syllabus 2016

**TIFR GS 2016 Syllabus**

**TIFR GS 2016 Mathematics Syllabus **

**Algebra**

Definitions and examples of groups ( finite and infinite, commutative and non – commutative ), cyclic groups, subgroups, homomorphisms, quotients. Definitions and examples of rings and fields. Basic facts about finite dimensional vector spaces, matrices, determinants, and ranks of linear transformations. Integers and their basic properties. Polynomials with real or complex coefficients in 1 variable.

**Analysis**

Basic facts about real and complex numbers, convergence of sequences and series of real and complex numbers, continuity, differentiability and Riemann integration of real valued functions defined on an interval ( finite or infinite ), elementary functions ( polynomial functions, rational functions, exponential and log, trigonometric functions ).

**Geometry / Topology**

Elementary geometric properties of common shapes and figures in 2 and 3 dimensional Euclidean spaces ( e.g. triangles, circles, discs, spheres, etc. ). Plane analytic geometry ( = coordinate geometry ) and trigonometry. Definition and basic properties of metric spaces, examples of subsets of Euclidean spaces ( of any dimension ), connectedness, compactness. Convergence in metric spaces, continuity of functions between metric spaces.

**General**

Pigeon – hole principle ( box principle ), induction, elementary properties of divisibility, elementary combinatorics ( permutations and combinations, bi¬nomial coefficients), elementary reasoning with graphs.

**TIFR GS 2016 Physics Syllabus**

In general, the syllabus for the Admissions Tests in Physics ( Written and Interview ) is typically a course of studies in Physics as the main subject in the Undergraduate and Masters levels in an Indian University. The questions in the written test ( multiple – choice type ) and the interviews are distributed over the following areas: Classical Mechanics; Mathematics relevant to Physics; Electricity and Magnetism; Quantum Mechanics; Heat, Thermodynamics and Statistical Physics; General Physics; Modern Physics; Electronics and Experimental Physics.

**TIFR GS 2016 Chemistry Syllabus **

The syllabus for the Written test in Chemistry is similar to the typical standard syllabus followed in any Indian university for the B.Sc. and M.Sc. degree course. The questions are aimed at testing the basic understanding and knowledge in the areas of physical, organic, inorganic, analytical, electro and quantum chemistry, biophysics, thermodynamics, spectroscopy ( NMR, fluorescence, IR, UV and X-ray ), logic and statistics and mathematical methods.

**TIFR GS 2016 Computer Science Syllabus **

**1. There are two streams in the School of Technology and Computer Science :**

- Computer Science.
- Systems Science.

Topics covered in the two streams, as well as some sample questions, are given below.

The question paper will have three parts. Part A is common to both the streams. It will test the general mathematical aptitude of the candidate. There is no prescribed sylabus for Part A. Part B will be oriented towards the topics listed under **‘Computer Science’** below; and Part C will be oriented towards topics listed under **‘Systems Science’** below. Only one of Parts B, C, should be attempted. The duration of the written test will be three hours. The test will be of multiple choice type, with negative marking for incorrect answers. The use of calculators will not be allowed during the test.

**TIFR GS 2016 Syllabus for Biology**

The test will be extremely basic and cover topics in mathematics, physics, chemistry and biology.

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TIFR GS Syllabus 2016

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