Graduates in streams like mathematics, statistics and technology can apply for integrated Ph.D in Indian Institute of Science Education and Research (IISER). In order to seek admission to the course, candidates must qualify a written exam, comprising questions from topics like trigonometry; mean value theorems, homomorphisms, cross ratio, calculus and complex analysis. Application forms can be obtained from the official site of IISER, by paying an application fee of Rs.100/- (in the form of DD).

Eligibility Criteria for Integrated PhD in Mathematics in IISER

Graduates in any of the subjects with a minimum of 60% marks can apply for Integrated Ph.D (Mathematics) in IISER.

• Mathematics
• Statistics
• Technology

Final year students having all these necessary qualifications can also apply, provided they are able to complete the course and produce the educational documents at the time of admission.

Selection Procedure for Integrated PhD in Mathematics in IISER

The selection process to the course consists of a written examination (conducted by the institute), followed by interview. Candidate’s knowledge in the concerned subject is tested in this written examination. Following is the detailed syllabus for the written examination –

• Trigonometry
• Sequence & Series
• Logarithm of a complex quantity
• Inverse Points
• Implicit function theorem
• Field of quotients of an integral domain
• Directional Derivatives
• Differentiability of an integral
• Complex Analysis
• Cayley’s theorem
• Automorphisms
• Algebra
• Vector Calculus
• Taylor’s theorem for functions of two variables
• Successive differentiation
• Real Analysis
• Partial differentiation
• Mean value theorems
• Linear Algebra
• Isomophisms
• Inner automorphisms of a group
• Homomorphisms
• Fixed points
• Expansion of Trigonometric functions
• Differential Equations
• Cross ratio
• Change of variables
• Calculus
• Applications of De Moivre’s Theorem

Candidates qualified in the written test can move to further sessions such as interview and certificate verification process.

Admission Procedure for Integrated Ph.D in Mathematics in IISER

Applications can be forwarded through offline method. It is possible for candidates to collect application forms from the official website of IISER. Filled up application forms must be submitted along with a Demand Draft (DD) to the address of ‘The Coordinator, Academic Affairs, Indian Institute of Science Education and Research (IISER), Bhopal, Transit Campus - ITI (Gas Rahat) Building, Govindpura, Bhopal - 462023 (M.P.). Application fee can be paid in the form of Demand Draft and this amounts to Rs. 100/-. It must be taken in the name of “The Director, IISER”. Applicants should also ensure the possibility of applications to reach the destination on time. They will be informed on the receipt of applications over mail.