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)

The successful students will be conditionally admitted to the program and have to pass the prescribed deficiency courses with the CGPA recommended by the Departmental Board of Studies (BoS).


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 M.S. students. These positions are offered only to those students who maintain a cumulative GPA of 3.00 in each semester in the M.S. program. Teaching/research assistant must not work elsewhere.


DURATION:

MS: 2 - 5 years.


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 *BOS.
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.
 

Required Courses

M.S. with thesis

M.S. without thesis

Course Category

Courses

Credit hours

Courses

Credit hours

Core Units

6

18

6

18

Elective Units

2

6

4

12

Literature survey

1

3

0

0

Research and units

1

3

0

0

Total

10

30

10

30


CORE COURSES:

Semester - 1

Course Code

Credit hours

Pre-requisite

Advanced Real Analysis

MTS511

3

-

Topics in Algebra

MTS513

3

-

Scientific Computing I of PDE's

MTS576

3

-

Elective I

MTS-

3

-

 

Semester - 2

Course Code

Credit hours

Pre-requisite

Probability and Mathematical Statistics

MTS508

3

-

Topics in Number Theory

MTS562

3

-

Topology and Geometry

MTS575

3

MTS341

Elective II

MTS-

3

-

 

Semester - 3 and 4

Course Code

Credit hours

Pre-requisite

M.S. Thesis (with literature survey)

MTS699

6

-


ELECTIVES COURSES:

Course title

Course code

Credit hours

Pre-requisite

Non Linear Dynamics and chaos

MTS507

3

MTS203, MTS 241

Measure Theory and Integration

MTS512

3

MTS512

Topics in Commutative Algebra

MTS514

3

MTS513

Scientific Computing

MTS521

3

-

Stochastic Processes II

MTS525

3

MTS304

Stochastic Differential Equations

MTS529

3

MTS304

Integral Equations-I

MTS533

3

-

Mathematical Astronomy

MTS537

3

-

Homological Algebra

MTS539

3

MTS513

Computational Algebraic Geometry

MTS541

3

MTS513

Applicable Modern Geometry I

MTS545

3

MTS511, MTS513, MTS516

Algebraic Geometry I

MTS549

3

MTS514

Scientific Computing and Software

MTS551

3

MTS521

Algebraic Cycles I

MTS553

3

MTS513

Arithmetic Algebraic Geometry

MTS557

3

MTS513

Exploratory Data Analysis

MTS561

3

-

Mathematical Physics I

MTS565

3

-

Statistical Data Mining and Knowledge Discovery

MTS569

3

-

Statistical Machine Learning

MTS573

3

-

Galois Theory

MTS577

3

MTS513

Smooth Manifolds

MTS581

3

MTS510


 

*(BOS is short for Departmental Board of Studies)