| Re: TIFR Mumbai Entrance Examination
The Tata Institute of Fundamental Research (TIFR) is a research institution in Mumbai and Hyderabad, India, dedicated to basic research in mathematics and the sciences. It is a Deemed University and works under the umbrella of the Department of Atomic Energy of the Government of India. It is located at Navy Nagar, Colaba, Mumbai and Narsingi, Hyderabad .
Here I am providing you the syllabus for TIFR entrance exam
TIFR GS 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 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 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 method
For more info contact:
Tata Institute of Fundamental Research
Dr. Homi Bhabha Road, Navy Nagar, Near Navy Canteen
Mandir Marg, Colaba
Mumbai, Maharashtra 400005
Telephone: 022 2278 2000
[MAP]Tata Institute of Fundamental Research Mumbai, Maharashtra[/MAP]
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