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TIFR MSC Maths Entrance |
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Re: tifr msc maths entrance
Tata Institute of Fundamental Research Entrance Exam acronym as TIFR Entrance Exam is conducted by the institute to provide admission to graduate programme leading to the award of Ph.D., Integrated M.Sc.-Ph.D. as well as M.Sc. degreee in certain subjects. Qualifying Degree B.A./B.Sc./B.E./B.Tech. (M.Sc. candidates are not eligible). Examination Pattern This is an objective test of two hours duration, with 25 true/false and 15 multiple choice questions. Syllabus Syllabus for Part I Part I of the selection process is mainly based on mathematics covered in a reasonable B.Sc. course. Algebra: Definitions and examples of group (finite and infinite, commutative and non-commutative), cyclic groups, subgroups, homomorphisms, quotients. Definitions and example of rings and fields. Basic facts about finite dimensional vector spaces, matrices, determinants, ranks of linear transformations, characteristic and minimal polynomials, symmetric matrices. Integers and their basic properties. Polynomials with real or complex coefficients in one 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 subset 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, binomial coefficients), elementary reasoning with graphs Application Fees : For Male Candidates : Rs 500/- for online applications and Rs 550/- for manual applications. Rs 800/- for taking the test as walk-in candidate. Female Candidates : Rs 100/- for online and manual applications. Rs 200/- for taking the test as walk-in candidate. For more Information you may contact to the Tata Institute of Fundamental And Research the contact details are given below Contact details Tata Institute of Fundamental And Research Address: Homi Bhabha Road, Navy Nagar, Colaba, Mumbai, Maharashtra 400005 Phone: 022 2278 2000 |
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