Department of Computer Science

Master of Science in Mathematics

Institutional Factor

SS-CASE-IT has a mission to contribute in the knowledge economy and industrial sector by producing graduates who can serve and lead the country by introducing best professional practices. SS CASE IT is significantly contributing in today's Knowledge Economy by providing current trend knowledge both at undergraduate and graduate level. Keeping in view the requirement of skilled manpower for the local multidisciplinary requirement both in industrial and managerial/ Finance sector and to fill the gap of basic sciences part in the existing engineering and applied science programs, SS CASE IT has launched Master of Science in Mathematics degree program under the Department of Computer Science.

Motivation and Mission

The main goal of introducing MS in Mathematics program is to provide an intensive preparation in the concepts and techniques related to the design and solution of application problems in the field of applied mathematics in general and in the field of engineering, computing, Finance and applied sciences in particular. In addition to that it would also yield the manpower with better built capacity for challenging R&D projects in their respective areas.

Program Objectives
  1. Graduates should demonstrate the ability to, solve, analyze, investigate and model engineering and applied science problems using the existing scientific design and solution tools that would enhance their research capabilities and broaden their professional, research and academic perspectives.

  2. Graduates should have awareness of the interdisciplinary research culture among the science, engineering and mathematical science disciplines that would enable them to explore the emerging research areas of engineering and applied mathematical sciences in their respective fields of study.

  3. Strong mathematics foundation, combined with the study of advanced topics including computational math, Cryptography, Computer Graphics, Digital Images Processing, and operations research. Whether you want to study the intricacies of discrete mathematics, Big Data analysis, machine learning, design neural networks, or develop a better web search algorithm, an applied mathematics degree from SS-CASE-IT prepares you for a variety of professional mathematics careers with strong salary potential.

Learning Outcomes
  1. Apply knowledge of mathematics and science to the solution of advanced problems involved in different engineering and applied science areas.

  2. Design mathematical models and solution strategy for problems arising in application areas such as Data Sciences, Artificial Intelligence, Electrical, Computer and Mechanical Engineering, Machine Learning, Finance, Business and Actuarial Sciences.

  3. Demonstrate ability to communicate, Mathematical ideas with clarity and coherence, both written and verbally, effectively on mathematical activities with the scientific community.

  4. Perform research in conjunction with others as well as individually, that is: be able to perform research as an individual through his own work, as a member and leader in a team, and manage projects/reports in individual and multidisciplinary environments.

Focus Research Areas
  1. Pure Mathematics

  2. Applied Mathematics

  3. Computational Mathematics

Employment prospective of the Program

This program will increase the prospects of job in the public and private sector organizations with skill set to the level where the students can effectively contribute to the following domain.

  1. Medical research

  2. Accountancy and Professional Service

  3. The actuarial profession

  4. Banking-Investment banking

  5. Banking - Retail Banking

  6. Finance Sector

  7. Computing and IT

  8. Engineering Sciences

  9. Management

  10. Operational Research

  11. Teaching

  12. Postgraduate Studies-PhD

Eligibility Criteria
  1. Qualification : Four years BS Mathematics with Minimum CGPA 2.00 out of 4.00 or Minimum Second division in M. Sc. or equivalent Grade by HEC recognized University / DAI (16years of education in relevant discipline from Institution recognized by HEC).

  2. Admission Test : GAT-General conducted by the National Testing Service with a minimum cumulative score of 50% or GRE (International). Subject Test with 50 % percentile score will be required at the time of admission, or Institute’s test as per prevalent HEC / Institute policy.

Duration

Minimum duration for completion of MS Mathematics degree is 1.5 years or 3 regular semesters and Maximum duration of 3.5 years with a maximum of 6 months extension.

MS Degree Requirements

A student must complete a minimum of 30 credit hours and has to obtain a minimum CGPA of 2.5 to earn the degree along with completion of thesis.

  1. Registration in “MS Thesis - I” is allowed provided the student has at least 18 credits

  2. Thesis evaluation and viva voce will be conducted by one external examiner (from a university in Pakistan other than university of enrollment) and one internal examiner.

Course Breakdown
Course Title Credit Hours
Four (04) Core Courses 12
Two (02) Courses from the program electives 6
Two (02) Courses from the University/Program electives 6
Thesis 6
Total 30
Core Courses (Minimum 4 courses)
  1. MT8004 Mathematical Techniques

  2. MT6003 Integral Equations

  3. MT6004 Functional Analysis

  4. MT8005 ODEs and Computational Linear Algebra

  5. MT6005 Partial Differential Equations

  6. MT8006 Advanced Mathematical Physics

Optional Courses

Specialization 1: Pure Mathematics
  1. MT8103 Advanced Group Theory

  2. MT8104 Algebraic Number Theory

  3. MT8105 Fixed Point Theory and Applications

  4. MT6104 Homotopy Theory

  5. MT6106 Spectral Theory in Hilbert Spaces

  6. MT6107 Geometric Function Theory

  7. MT6109 Advanced Convex Analysis

  8. MT8106 Optimization Theory

  9. MT8107 Real and Mathematical Analysis

  10. MT8108 Matrix Theory

Specialization 2: Applied Mathematics
  1. MT8205 Symmetry Methods for Differential Equations

  2. MT8206 Group Theoretic Methods

  3. MT8207 Operation Research

  4. MT8208 Perturbation Methods

  5. MT8209 Fuzzy Logic and Neural Networks

  6. MT8210 Advanced Number Theory

  7. MT6205 Mathematical Biology

  8. MT6206 Probability and Stochastic Process

  9. MT6208 Simulation and Modeling

  10. MT6209 Finite Element Methods

  11. MT8211 Cryptography and its Applications

  12. MT6210 Methods in Digital Image Processing

  13. MT8212 Machine Learning Algorithms

  14. MT6211 Non Linear Dynamics and Control Theory

  15. MT6212 Design of Experiments

  16. MT6213 Fourier Analysis with applications

  17. MT8213 Theory of Transforms with applications

  18. MT8214 Fluid Dynamics

  19. MT8215 Boundary Layer Theory: Applications and Solutions

  20. MT8216 Inverse Problems with Applications

  21. MT8217 Optimization Techniques

  22. MT8218 Advanced Topics in Applied Mathematics

  23. MT8219 Methods of Scientific Research

Specialization 3: Computational Mathematics
  1. MT6305 Mathematical Modeling I

  2. MT8304 Mathematical Modeling II

  3. MT6306 Numerical Solution of Partial Differential Equations

  4. MT8305 Graph Theory

  5. MT6307 Linear Statistical models

  6. MT6308 Monte Carlo Techniques for Simulations

  7. MT6309 Time Series Analysis and Forecasting

  8. MT6310 Simple Linear Regression Models (Regression Analysis I)

  9. MT8306 Multiple Linear Regression Models (Regression Analysis II)

  10. MT6311 Financial Modeling and Risk Management

  11. MT8307 Advanced Mathematical Statistics

  12. MT8308 Discrete Mathematical Systems

  13. MT6312 Financial Mathematics I

  14. MT8309 Financial Mathematics II

  15. MT8310 Advanced Numerical Methods

  16. MT6313 Numerical Solution of Ordinary Differential Equations

  17. MT8311 Big Data Analysis Techniques

  18. MT6314 Computer Graphics

  19. MT8312 Computational Fluid Dynamics

  20. MT8313 Special Topics in Mathematics

MS Thesis
  1. MT8400 MS Thesis