IISC Math

I want to do PHD in Mathematics form the Indian institute of science so I need its paper so can you provide me its paper and also tell me that form where can I get the paper.

[Shaleen]

The IISc Mathematics Entrance exam Paper as given below:-

(1) The ordinary differential equation g0 = 2g with g(0) = a has
(A) the solution g(x) = 2 exp (ax),
(B) the solution g(x) = (exp (ax) − exp (−ax))/2,
(C) the solution g(x) = a exp (2x),
(D) no solution.

(2)Let f be a non-constant entire function such that |f(z)| = 1 for every z with |z| = 1. Then
(A) f has a zero in the open unit disc.
(B) f always has a zero outside the closed unit disc.
(C) f need not have any zero.
(D) any such f has exactly one zero in the open unit disc.

(3) Let f have a pole of order 2 at 0 and let g be an analytic function in a neighborhood of 0 having a zero of order 3 at 0. Then the function f(z)g(z) has
(A) a pole of order 2 at 0,
(B) a zero of order 2 at 0,
(C) a pole of order 1 at 0
(D) a zero of order 1 at 0.

If you want to get more questions then see given below attachment:-

2012 -2013 StudyChaCha

Hello, Will any one here, would like to tell me about the Department of Mathematics of Indian Institute Of Science?

[Arun Vats]

Department of Mathematics of Indian Institute Of Science was founded in 1956. The Department of Mathematics offers the healthy and balance studies in pure and applied mathematics.



Courses offered: Following are the courses offered by department.

Ph. D. Programme
Integrated Ph.D. Programme

Faculties of Department:

Arvind Ayyer, Ph. D. (Rutgers)
Assistant Professor

Abhishek Banerjee, Ph. D. (Johns Hopkins University)
Assistant Professor

Gautam Bharali, Ph. D. (Wisconsin)
Associate Professor

Tirthankar Bhattacharyya, Ph. D. (ISI)
Professor

Soumya Das, Ph. D. (HRI)
Assistant Professor

Basudeb Datta, Ph. D. (ISI)
Professor

Siddhartha Gadgil, Ph. D. (California Institute of Technology)
Professor

Mrinal K. Ghosh, Ph. D. (TIFR-IISc)
Professor

Thirupathi Gudi, Ph. D. (IIT Bombay)
Assistant Professor

Srikanth K. Iyer, Ph. D. (UC, Santa Barbara)
Professor

Manjunath Krishnapur Ph.D. (UC Berkeley)
Assistant Professor

Gadadhar Misra, Ph.D. (SUNY Stony Brook)
Professor and Chairman

A. K. Nandakumaran, Ph. D. (TIFR-IISc)
Professor

E. K. Narayanan, Ph. D. (ISI)
Associate Professor

Dilip P. Patil, Ph. D. (Bombay)
Professor

Govindan Rangarajan,Ph. D. (Maryland)
Professor

Harish Seshadri, Ph. D. (SUNY, Stony Brook)
Associate Professor

Pooja Singla, Ph. D. (IMSC, Chennai)
Assistant Professor

S.Thangavelu, Ph. D. (Princeton)
Professor

Kaushal Verma, Ph. D. (Indiana)
Associate Professor

Mahesh Kumari, Ph. D. (IISc)
Research Scientist 'C'

Jaban Meher (HRI)
Inspire Fellow

Dr. Mousumi Mandal (IIT Bombay)
Inspire Fellow

Umesh V. Dubey (IMSc)
Inspire Fellow
Contact Details:

Department of Mathematics
Indian Institute Of Science, Bengaluru, Karnataka ‎
Telephone : +91-80-2293 2711, 2293 2265
Fax : +91-80-2360 0146
Email : rnaren@math.iisc.ernet.in

[MAP]Indian Institute Of Science, Bengaluru, Karnataka[/MAP]