Tata Institute of Fundamental Research (TIFR) is a National Centre of the Government of India, under the umbrella of the Department of Atomic Energy, as well as a deemed University awarding degrees for masters and doctoral programs. The Institute was founded in 1945 with support from the Sir Dorabji Tata Trust under the vision of Dr. Homi Bhabha. TIFR carry out basic research in physics, chemistry, biology, mathematics, computer science and science education. TIFR main campus is located in Mumbai, with centers at Pune, Bangalore, and Hyderabad.
Table of Contents
 1 TIFR Mumbai M Sc, Integrated Ph.D., Ph.D. Entrance Exam
 2 PhD
 3 Exam Dates and Schedule
 4 Mathematics: Selection Procedure
 5 Written test
 6 Syllabus for written test
 7 Analysis:
 8 Geometry/Topology:
 9 General:
 10 Selection Interviews
 11 Some Important Links of Our Websites
 12 For any Mathematical Doubts –Click here
TIFR Mumbai M Sc, Integrated Ph.D., Ph.D. Entrance Exam
The Tata Institute of Fundamental Research (TIFR) is India’s premier institution for advanced research in fundamental sciences. The Institute runs a graduate program leading to the award of a Ph.D. degree, as well as M.Sc. and Integrated Ph.D. in certain subjects. With its distinguished faculty, worldclass facilities and stimulating research environment, it is an ideal place for aspiring scientists to initiate their career.
The Graduate Programme at TIFR is classified into the following Subjects:
* Mathematics
* Physics
* Chemistry
* Biology (Ph.D./Int.Ph.D./M.Sc.)
* Biology (M.Sc. – Wildlife Biology)
* Computer & Systems Sciences
It is conducted at the Mumbai campus and various National Centres of TIFR
PhD
Mathematics (TIFR, Mumbai and CAM, Bangalore), Physics, Chemistry, Computer and Systems Sciences, Biology (TIFR, Mumbai and NCBS, Bangalore)
Integrated PhD
Mathematics (CAM, Bangalore), Biology (TIFR, Mumbai and NCBS, Bangalore) M Sc: Biology (TIFR, Mumbai)
M Sc (Wildlife Biology and Conservation)
Biology (NCBS, Bangalore)
Exam Dates and Schedule
Tentative dates are
Date of Notification  Month of August  
Last Date of submitting Application Form  2nd week of October  
Exam Date  2nd week of December 
Mathematics: Selection Procedure
Entrance examination for the TIFR Graduate Programs 2017 in Mathematics (Ph.D. and Integrated Ph.D. at TIFR, Mumbai, Ph.D. and Integrated Ph.D. at CAM, Bengaluru, and Ph.D. at ICTS, Bengaluru) will comprise of a written test and an interview, as follows:
Written test
The written test will be of total 3 hours duration and it has two parts, Part I and Part II. In Part I there will be 30 true or false questions. A correct answer gets 2 points, a wrong answer gets −1 point, nonanswer gets 0 points. The answer sheets for Part I will be collected at the end of 1 1/2 hours. Only Part I will be graded for all applicants. Based on a suitable cutoff, approximately around 100 top candidates will be chosen for the next step of evaluation. The answer booklets for Part II for will be graded only for these chosen candidates. Part II consists of 10 questions, and the solution to the questions have to be written. Credit will be given for the answers, and partial credit will be given for partially correct answers.
Syllabus for written test
The screening test is mainly based on mathematics covered in a reasonable B.Sc. course. The interview need not be confined to this. Algebra: Definitions and examples of a group (finite and infinite, commutative and noncommutative), cyclic groups, subgroups, homomorphisms, quotients. Definitions and example 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, the convergence of sequences and series of real and complex numbers, continuity, differentiability and Riemann integration of realvalued 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 3dimensional 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:
Pigeonhole principle (box principle), induction, elementary properties of divisibility, elementary combinatorics (permutations and combinations, binomial coefficients), Elementary reasoning with graphs.
Selection Interviews
Based on the combined performance, a further shortlist will be made, for each program. The listed candidates will be called for final selection interviews for various programs of TIFR in different campuses of TIFR.
Exam Centres
Tentative centers are
Ahmedabad: St Xavier’s College  Jaipur: India International School  
Bangalore: University of Agricultural Sciences  Kanpur: Indian Institute of Technology  
Bhubaneshwar: Utkal University  Kolkata: St. Xavier’s College  
Chandigarh: Punjab University  Madurai: The Madura College  
Chennai: Indian Institute of Technology  Mangalore: Mangalore University  
Cochin: Cochin Univ. of Science & Technology  Mumbai: Tata Institute of Fundamental Research  
Delhi: Miranda House, Delhi University  Nagpur: Shri Ramdeo Baba Kamla Nehru Eng Coll  
Guwahati: Indian Institute of Technology  Patna: Radiant International School  
Haldwani: Motiram Baburam Govt PG College  Pune: Spicer Memorial College  
Hyderabad: Hyderabad University  Varanasi: Banaras Hindu University  
Indore: Devi Ahilya Vishwavidyalaya  Visakhapatnam: Andhra University 
Some Important Links of Our Websites

 What is TIFR
 How to Study TIFR Maths?
 Reference Book For TIFR Maths
 Why IIT JAM Maths
 How To Study Jam Maths
 What’s New with JAM 2018 ?
 Suggested Books For IIt Jam Maths
For any Mathematical Doubts –Click here