Organisation : Tata Institute of Fundamental Research (TIFR)
Exam Name : Graduate School Admissions (GS-2021)
Announcement : Syllabus
Website : http://univ.tifr.res.in/gs2022/index.html
TIFR Graduate School Admissions
Tata Institute of Fundamental Research (TIFR), Graduate School Admissions (GS-2021) Syllabus
TIFR GS Syllabus
Physical Sciences 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.
Mathematics Syllabus for Stage I:
Stage I of the selection process is mainly based on mathematics covered in a reasonable B.Sc.course. This includes:
Algebra:
Definitions and examples of groups (finite and infinite, commutative and non-commutative),cyclic groups, subgroups, homomorphisms, quotients. Group actions and Sylow theorems. Defini-tions and examples of rings and fields. Integers, polynomial rings and their basic properties. Basic facts about vector spaces, matrices, determinants, ranks of linear transformations, characteristic and minimal polynomials, symmetric matrices. Inner products, positive definiteness.
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), sequences and series of functions and their different types of convergence.
Geometry/Topology:
Elementary geometric properties of common shapes and figures in 2 and 3dimensional Euclidean spaces (e.g. triangles, circles, discs, spheres, etc.). Plane analytic geometry (= coordinate geometry) and trigonometry. Definition and basic properties of metric spaces, exam-ples 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 rea-soning with graphs, elementary probability theory.
Chemical Sciences 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.
Biology Syllabus:
The test will be extremely basic and cover topics in mathematics, physics, chemistry and biology.
Computer Science Syllabus:
1. Discrete Mathematics: Sets and Relations, Combinatorics (Counting) and Ele-mentary Probability Theory, Graph Theory, Propositional and Predicate Logic.
2. Formal Languages, Automata Theory and Computability.
3. Data Structures and Algorithms: Arrays, Lists and Trees, Sorting and Search-ing, Graph algorithms, Complexity of problems and NP-completeness.
4. Fundamentals of Programming Languages and Compilers: Control structures,Parameter passing mechanisms, Recursion, Parsing and type checking, Memory management.
5. Operating Systems and Concurrency
6. Switching Theory and Digital Circuits
7. Theory of Databases
Download Syllabus
Download TIFR GS Syllabus Here :
http://univ.tifr.res.in/gs2022/Syllabus/Syllabus.htm