#1
9th July 2016, 10:59 AM
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TIFR Entrance Exam Preparation
Can you provide me the syllabus of Graduate School Admissions (GS) Entrance Examination as I need it for preparation of admission in TIFR - Tata Institute of Fundamental Research?
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#2
9th July 2016, 12:12 PM
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Re: TIFR Entrance Exam Preparation
The syllabus of Graduate School Admissions (GS) Entrance Examination as you needs it for preparation of admission in TIFR - Tata Institute of Fundamental Research is as follows: Mathematics: 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. Physics: Classical Mechanics Mathematics Relevant To Physics Electricity and Magnetism Quantum Mechanics Heat Thermodynamics and Statistical Physics General Physics Modern Physics Electronics And Experimental Physics Chemistry: Physical Organic Inorganic Analytical Electro And Quantum Chemistry Biophysics Thermodynamics Spectroscopy ( NMR, Fluorescence, IR, UV And X-Ray ) Logic And Statistics And Mathematical Methods Chemistry Online Test Computer Science Discrete Mathematics Formal Languages, Automata Theory and Computability. Data Structures and Algorithms Fundamentals of Programming Languages and Compilers Operating Systems and Concurrency Switching Theory and Digital Circuits Theory of Databases Computer Quiz Biology The test will be extremely basic and cover topics in mathematics, physics, chemistry and biology. |