Department of Mathematics

The LNM Institute of Information Technology

Quick Links
M.Sc. (Mathematics)

Introduction

The Department of Mathematics, LNM Institute of Information Technology is part of the LNMIIT since its inception year 2003-04. The Department has a vision to establish a centre for research and teaching excellence in Mathematics of international repute. The proposed M.Sc. programme is motivated and based on the suggestions from the Govt. of India for the Development of Higher Mathematics for Applications, as a part of the 12th FYP of the planning commission.

Why LNMIIT Jaipur?
The LNMIIT Jaipur is a young dynamic deemed university located in one of most beautiful, cultured and heritage rich city of India in the lap of nature surrounded by Aravali Hills. From its very beginning, LNMIIT Jaipur proved itself as a leading technical institute and place of learning and research. The LNMIIT is now well known and widely recognized for the quality of its undergraduate, graduate and research programs. LNMIIT has huge infrastructural facility with respect to the state of the art laboratories, computing facilities, academics buildings, equipments etc. Extensive library facilities are available in the Central Library. Recently a High Performance Computing (HPC) server was setup at LNMIIT for parallel computing needs which is powered by HP (Hewlett-Packard) Corporation and based the latest Intel ivy-bridge processors. The server has 240 computing cores on 7 nodes with a total memory of 796 GB. The initiatives are underway to setup a GPU server as well.

The faculty members form our major resource. The faculty members of department of Mathematics are highly qualified and energetic, who have already raised the standard of the department through teaching and research. To make students acquainted with the latest developments, the department keeps on updating its teaching and research methodology periodically and introduces new courses, which are aligned with the need to tackle real life challenging problems in science and technology. The science departments (Mathematics and Physics) at LNMIIT have designed their syllabi incorporating interdisciplinary and applied sciences, suitable for the prevailing scenario of Science and Technology. Due to fast changing scenario on Science & Technology, importance of Applied Science has been increased to a great extent.

M.Sc. in Mathematics:

The aspirants for M.Sc. programme may opt for LNMIIT Jaipur as this Institute is already visible on the horizon and is going to match with other leading universities/institutes in India in near future.

Name of the Program:
Two (02) Year M. Sc. in Mathematics
Total Number of Intake: 15

Mathematics is driven by the need for abstract and quantitative modeling and prediction in engineering and the sciences. New disciplines have emerged by employing sophisticated Mathematical models and are continuously joining established areas that use mathematical formalism in modeling and prediction. Nowadays many industries employ mathematical models and techniques in their research and product development. Judicious development and use of Mathematical models in industry and the sciences requires education of Mathematicians who are able to bring to bear mathematical methods and interact with experts in application areas outside of mathematics.
The Master's degree in Mathematics is a try to respond to the above need. The M.Sc. programme in Mathematics is of two years duration comprising four semesters. The program is designed to offer a complete, balanced combination of courses in Mathematics (including both theory and applications) and courses in Computer Science (with stress on IT and Software industry). Applied mathematics is a broad term encompassing a wider variety of applications of Mathematics into real world problems including but not limited to Cryptography, Graph Theory, Image Processing & Computer vision, Computational Topology/Geometry etc.


Broad features/Objectives:

A few salient features/goals of the M.Sc. programme are:

  • To prepare the graduates with a thorough knowledge of both theory and applications of Mathematics (with stress on IT applications).
  • The programme is designed and motivated from the guidelines of Govt. of India as part of the XIIth Five Year Plan (FYP) for promoting Mathematics into Information Technology (IT) applications and creating opportunities in the IT field for Mathematics students.
  • IT industries normally hire Computer Experts and Mathematicians with separate job profiles. This program is a step ahead to eliminate such discrimination and to create technologists with both the flavors.
  • This program deals with higher Mathematics with particular emphasis on applications. The M.Sc. (Mathematics) degree may be considered to be equivalent to M.Sc. (Tech.) degree, Master of Computer Applications (MCA) and to other similar programs offered by various institutes.
  • The goal of the programme is to groom a large pool of well-trained students as scientific manpower for quality national and international doctoral programs, other post-graduate research programs and industry.
  • This program structure includes courses on theory courses with applications to IT problems. Therefore, graduates can also pursue higher studies on IT areas such as data mining, multimedia, image processing and computer vision, complexity theory, big data etc. to name a few.
  • Teaching at the college levels or university level is an important aspect of the society. Keeping this in mind the programme aims at producing a pool of well-trained individuals as potential teachers in universities and other institutions of higher learning in India.
  • We hope the graduates will also be able to pursue collaboration with the public and private sector in the form of research, projects and consultancies. They will popularize mathematics and its applications in society at large.
  • The programme will develop a graduate’s expertise in applying the methods and tools of mathematics to solve problem in science and engineering and develop skills in mathematics & scientific computing among in order to cater the present day demands of the industry.
  • To achieve our goals in conjunction with the requirements of the Govt. of India we will try to develop mathematics along with applications to some of the interesting and challenging interdisciplinary research areas including but not limited to data mining, data compression, multimedia, computer graphics, animation, image processing, uncertainty quantification, mobile and GPU computing etc.

The Program Outcomes:

Under successful completion of the Program the graduating students are expected to:

  • Study and develop techniques to tackle pure problems Mathematics.
  • Apply basic principles of mathematics in other areas of learning.
  • Carry out advance research in their specific field of interest.
  • Qualify for various careers in private companies, governmental institutions or in academia.
  • Pursue collaboration with the public and private sector in the form of research, projects and consultancy.
  • Prepare for various aptitude and qualifying tests (like JFR-NET, GATE, NBHM, TIFR etc.) to pursue research in their interest areas.

The level and variety of subjects is expected to have a far reaching command on mastering fundamental mathematical tools and abstract reasoning. The core subjects are analysis, algebra, topology and differential equations. Being trained in the analysis, abstraction and reflection necessary to solve complex problems the graduates will be qualified for various careers in governmental institutions, private companies, or in academia etc.
This Master degree programme will pave an excellent foundation for student’s planning to pursue Ph.D. in Mathematics.


Program Structure:

Entire two year M.Sc. Programme in Mathematics has been divided into four semesters.
Stages of Progression:
First Year: In the 1st year (Two semesters), basic core courses are the main contents.
Second Year: 2nd year courses have been designed to accommodate more applicable elective courses and a project. Over all 4 elective courses is an attraction since this choice accommodates a series of 4 structured courses (if offered).

Semester-wise Structure of the Program

First Semester
S. No. Course No. Course Name L T P Credit
1. MTH4011 Analysis-I 3 1 0 4
2. MTH4021 Linear Algebra 3 1 0 4
3. MTH4031 Computer Programming & Lab 3 0 2 5
4. MTH4041 Optimization 3 1 1 4
5. MTH4051 Algebra 3 1 0 4
Second Semester
S. No. Course No. Course Name L T P Credit
1. MTH4012 Probability & Statistics 3 1 0 4
2. MTH4022 Analysis-II 3 1 0 4
3. MTH4032 Complex Analysis 3 1 0 4
4. MTH4042 Numerical Analysis 3 1 0 4
5. MTH4052 Ordinary Differential Equations 3 1 0 4
Third Semester
S. No. Course No. Course Name L T P Credit
1. MTH5011 Topology 3 1 0 4
2. MTH5021 Functional Analysis 3 1 0 4
3. MTH5031 Partial Differential Equations 3 1 0 4
4. MTH5XX1 Elective-I 3 1 0 4
5. MTH5XX1 Mathematical Methods 3 1 0 4
6. -- Project -- -- -- 4
Fourth Semester
S. No. Course No. Course Name L T P Credit
1. MTH5012 Elective-II 3 1 1 4
2. MTH5XX2 Elective-III 3 1 0 4
3. MTH5XX2 Elective-IV 3 0 1 4
4. MTH5XX2 Elective-V 3 1 0 4
5. -- Project -- -- -- 4

Total Credits:
Minimum number of credits required to complete the programme is 85.
Possible Elective Courses*:
S. No. Course No. Course Name L T P Credit
1. MTH5041 Numerical Methods for Partial Differential Equations 3 1 1 4
2. MTH5022 Finite Element Methods 3 1 1 4
3. MTH5051 Computational Topology 3 1 1 4
4. MTH5061 Number Theory 3 1 0 4
5. MTH5071 Differential Geometry 3 1 0 4
6. MTH5032 Spectral Element Methods 3 1 1 4
7. MTH5042 Computational Fluid Dynamics 3 1 0 4
8. MTH5081 Fractal Geometry and Applications 3 1 0 4
9. MTH5091 Elements of Sobolev Spaces and Applications 3 1 0 4
10. MTH5052 Applied Harmonic Analysis 3 1 0 4
11. MTH5062 Wavelets and Applications 3 1 0 4
12. MTH5072 Parallel Numerical Algorithms 3 0 1 4
13. MTH5082 Image Processing and Computer Graphics 3 0 1 4
14. MTH5092 Mathematics in Multi-media 3 1 0 4
15. MTH5102 Data Mining: A Mathematical Perspective 3 1 0 4
16. MTH5112 Introduction to Stochastic Differential Equations 3 1 0 4
17. MTH5122 Mechanics 3 1 0 4
18. MTH5132 Continuum Mechanics 3 1 0 4
19. MTH5142 Cryptography 3 1 0 4
20. MTH5152 Graph Theory 3 1 0 --
* Some additional courses will be added to this list.


Eligibility Criteria:

  • B.Sc./B.A. /B.E. / B. Tech. / B.Sc. (Engg.) with 55 % marks / CPI of 6.0 on a 10 point scale.
  • The students whose qualifying exam results are awaited are also eligible to apply.


Financial Support:
  • Some assistant-ships would be available for the students admitted to M.Sc. program on the basis of merit/selection as part of teaching assistantship.
  • Part financial assistance for national and international travel to present research.

Fee Structure:

To be Announced


Admission Procedure:

To be Announced


Important Dates

To be Announced