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)