## MS Mathematics

MS in Mathematics aims to provide a thorough
background in theory, quantitative methods and applications
commensurate with international standards, offering the opportunity
of more specialized training in selected areas of pure and applied
mathematics.

ELIGIBILITY:

In order to be eligible to apply for admission in MS in Mathematics a candidate should:

a. Possess BE (any discipline) or BS/MSc (16 year education) degree from a recognized university in Physics/Statistics/Computer Science

b. Have passed the last examination with at least 60% marks (or CGPA 2.5 whatever applies)

ADMISSION PROCESS:

All eligible candidates would be required to:

a. Appear in and qualify an aptitude test consist of two parts:
Mathematics and English (The difficulty level of Mathematics and English
is equivalent to GRE subjective Mathematics and TOFEL respectively).

OR

Candidates, who have a minimum 60 percentile in GRE subjective
mathematics (In this case Admission Committee will verify the English
proficiency of the candidate).

b. Appear in an interview/presentation if the candidate has passed the
aptitude test or equivalent.

### TEACHING/RESEARCH ASSISTANT POSITIONS:

Teaching/Research assistant positions are available in the department for full-time MS students. These positions are offered only to those students who maintain a cumulative GPA of 3.00 in each semester in the MS program. Teaching/Research assistant must not work elsewhere.

**DURATION:**

MS: 2 - 5 years.

FINANCIAL ASSISTANCE:

MS students can opt for full time student status for financial support which is provided in the form of assisting duties for teaching and research. This support is up to a maximum of Rs. 30,000 per month. This facility is only extended to those students who maintain a cumulative GPA of 3.00, and register in 4 courses each semester in the MS Mathematics program. In addition to this, the students availing financial support must NOT work elsewhere. The maximum duration of financial assistance (in which student is considered as a full-time student) is two years, it can be extended for one more year on the recommendation of supervisor and *DRC.

PART TIME STUDENTS:

MS students can also join the program on a part-time basis (i.e. those students who are not offered (or do not willfully avail / opt-for financial assistance), with a condition that they cannot register in more than 2 courses in a semester.

REQUIREMENTS FOR THE AWARD OF MS DEGREE:

For award of an MS in Mathematics a candidate should:

a) Complete 30 credit hours that include 24 credit hours (8 courses) of
course work and 6 credit hours of thesis.

b) Six courses (mentioned in the list below) at 500 level are Core
courses that every student must do.

c) In addition, a student has to do two electives to be chosen from the
list given below at 500 level. A student can also choose a PhD
mathematics course as an elective course, by the approval of the *DRC.

d) The eligibility for doing an MS thesis is student acquiring a CGPA of
3.0.

e) Students who do not qualify the eligibility criterion for doing an MS
thesis, will be required to do two additional courses (6 credit hours in
addition) and graduate with an MS degree only. Such MS graduates would
lose the eligibility of doing a PhD in future from IBA.

f) Public defense of the MS thesis and completion of the degree will be
governed as per IBA policy.

CORE COURSES:

The Departmental Research Committee is authorized to introduce any
new course added to the following list as and when required

First Semester:

MTS511 Advanced Real Analysis

MTS 513 Topics in Algebra

MTS 515 Advanced Numerical Analysis

MTS 575 Topology & Geometry

Second Semester:

MTS 508 Probability and Mathematical Statistics

MTS 562 Topics in Number Theory

MTS 5XX Elective I

MTS 5XX Elective II

ELECTIVES COURSES:

The Departmental Research Committee is authorized to introduce any
new course added to the following list as and when required.MTS 512 Measure Theory & Integration

MTS 514 Topics in Commutative Algebra

MTS 521 Scientific Computing

MTS 525 Stochastic Processes II

MTS 529 Stochastic Differential Equations

MTS 533 Integral Equations

MTS 537 Mathematical Astronomy

MTS 539 Homological Algebra

MTS 541 Computational Algebraic Geometry

MTS 545 Applicable Modern Geometry I

MTS 549 Algebraic Geometry I

MTS 553 Algebraic Cycles I

MTS 557 Arithmetic Algebraic Geometry

MTS 561 Exploratory data Analysis

MTS 565 Mathematical Physics I

MTS 569 Statistical Data Mining & Knowledge Discovery

MTS 573 Statistical Machine Learning

MTS 577 Galois Theory

MTS 581 Smooth Manifolds

MTS 507 Nonlinear Dynamics and Chaos

*(DRC is short for Departmental Research Committee)