School of Mathematical Sciences & Engineering

 

Department of Applied Mathematics

 

The Department of Applied Mathematics under the School of Mathematical Sciences and Engineering came into existence in 2005.The Masters degree programme has been designed to give the students both depth and breadth in mathematical sciences, and at the same time expose them to research and training experiences that will equip them for variety of jobs in academic and non-academic settings. Recently, the University Grants Commission has recognized Applied  Mathematics as a job-oriented course. Therefore, the Higher Education Department of the Jammu and Kashmir state  hasinitiated teaching of Appl ied Mathematics in many Degree Colleges. The

objective of the Masters programme is to train students in areas of modern mathematics that have great potential to analyzing problems from other fields and help in solving real life problems.

The department has young, dynamic and dedicated faculty deeply involved in teaching and research pursuits. Some faculty members have collaboration with other prestigious institutes in India and aboard. The department is maintaining a Computer lab and has full time Internet facility. The Department also involves eminent guest faculty from prestigious institutions of the country in teaching and research.

Master in Applied Mathematics is full time, 2 year, 4-semester programme. The programme is intended to impart working knowledge of several areas of Mathematics and a specific area of application. The student is required to earn 96 credits for getting the degree. The following is the breakup of the credit value of each activity:

 

Technical Communication: 02 credits

Core Courses: 40 credits

Modeling, Simulations, Computer Programming  and Application: 16 credits

Minor Project, Dissertation/ Major Project: 12 credits

Electives: 20 credits

Viva Voce: 06 credits

 

Course Curriculum

 

Semester I

Theory

MAM 101: Applied Analysis

MAM 102: Linear Algebra

MAM 103: Ordinary and Partial Differential Equations

MAM 104: Numerical Analysis

MAM 105: Computer Fundamentals and Programming in C

MAM 106: Technical Communication

Lab Course

MAM 107: Lab course on Computer Fundamentals and Programming in C

 

Semester II

Theory

MAM 201: Metric Space and Topology

MAM 202: Methods of Applied Mathematics

MAM 203: Operation Research

MAM 204: C++ & Object Oriented Programming

MAM 206: Viva-voce

MAM 207

or Elective I

MAM 208:

Lab Course

MAM 205: Lab on C++ & Object Oriented Programming

 

Semester III

Theory

MAM 301: Functional Analysis

MAM 302: Modeling and Simulations

MAM 303: Probability and Statistics

MAM 304: Complex Analysis

MAM 305: Project

MAM 306

or Elective II

MAM 307:

 

Semester IV

Theory

MAM 401: Dissertation/Major Project

MAM 402: Viva-Voce

MAM 403 Elective-III

to Elective-IV

MAM 429: Elective-V

 

Areas of Specialization

Elective I

MAM 207: Mechanics

MAM 208: Mathematical Biology

Elective II

MAM 306: Discrete Mathematical Structures

MAM 307: Lebesgue Measure and Integration

 

Elective (III, IV, V)

MAM 403: Applied Functional Analysis

MAM 404: Numerical Solution of Partial Differential Equations

MAM 405: Graph Theory

MAM 406: Integral Equations and Boundary Value Problems

MAM 407: Theory of Elasticity

MAM 408: Fluid Dynamics

MAM 409: Wavelets

MAM 410: Control Theory

MAM 411: Optimization Techniques

MAM 412: Mathematical Modeling of Industrial Problems

MAM 413: Industrial Biomathematics

MAM 414: Computational Biology

MAM 415: Special Functions

MAM 416: Theory of Vibrations

MAM 417: Finite Element Methods

MAM 418: Fuzzy Sets and Neural Networks

MAM 419: Coding Theory

MAM 420: Theory of Relativity

MAM 421: Recent Techniques of Image Processing and Data Compression

MAM 422: Mathematical Modeling

MAM 423: Convex Analysis

MAM 424: Introduction to Variational Inequalities

MAM 425:Spectral Methods for ODEs and PDEs

MAM 426: Mathematical Models in Finance

MAM 427: Numerical Linear Algebra and approximation

 

Intake

Total Seats 21

Open Merit & Reserved: 15

Self-Financing: 06

 

Eligibility for Admission to MAM programme

 

Bachelors' degree of 10+2+3 pattern with Mathematics as one of the subjects or any other degree recognized equivalent thereto from any recognized university with atleast 45% Marks in aggregate (40% for the candidates belonging to the Scheduled Caste/ Scheduled Tribe categories).

Candidates appearing in the final year examination of the qualifying degree, or those whose result of the same is awaited, can also apply provisionally.

 

Procedure for Admission

 

For admission to MAM programme merit will be calculated by adding marks secured in Mathematics to the total marks of Bachelor degree examination. The department has provision for conducting M.Sc. Tech. programme in Industrial mathematics with Computer Applications for such students who have put-in two years in M.Sc. Applied Mathematics of this or any other University. Such students will be required to put-in two more semesters and collect 48 additional credits. These two semesters are devoted to more computer oriented courses on Industrial Mathematics. This course, designed by the UGC caters to the requirements of software and

process industry and educational institutes. The dual purpose curriculum covers the syllabus of M.C.A. and M.Sc. Applied Mathematics of Indian Universities. The program will be backed by strong campus placement activities. The course curriculum for the

additional semesters will be:

 

M. Sc. Tech (Industrial Mathematics with Computer Applications)

The department has provision for conducting M.Sc. Tech. programme in Industrial mathematics with Computer Applications for such students who have put-in two years in M.Sc. Applied Mathematics of this or any other University. Such students will be required to put-in two more semesters and collect 48 additional credits. These two semesters are devoted to more computer oriented courses on Industrial Mathematics.

This course, designed by the UGC caters to the requirements of software and process industry and educational institutes. The dual purpose curriculum covers the syllabus of M.C.A. and M.Sc. Applied Mathematics of Indian Universities. The program will be backed by strong campus placement activities. The course curriculum for the additional semesters will be:

 

Semester I

Theory

MIM 101: Operating Systems

MIM 102: Design and Analysis of Algorithms

MIM 103: Computer Architecture

MIM 104: Data Structure using C

MIM 105: Computer Techniques and Computer Network

Lab Course

MIM 106: Lab on Computer Architecture; Data Structure; and Computer Network

 

Semester II

Theory

MIM 201: Data based systems and Artificial Intelligence

MIM 202: Computer Graphics

Project

MIM 203: Project work

 Faculty 

Resident

 

Dr. M. Asger                               Head of the Department

                                                       Mobile No. 9419103562.

Dr.  Mohd Iqbal Bhat                     

Mrs. Leena Prasher 

Mr. Zaheer Abbas

 

Visiting

 

Prof. V. P. Saxena                              Jiwaji University,  Gwalior

Prof. Khalil Ahmed                           JMI, New Delhi

Prof. P. K. Jain                                   University of Delhi

Prof. G. C. Sharma                             B.R.A. University,  Agra

Prof. N. K. Gupta                               IIT,   Delhi

Prof. B. S. Komal                               University of Jammu

Prof. M. A. Sofi                                 University of Kashmir


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