University of Engineering and Technology, Taxila


Department of Mathematical Sciences

Postgraduate Programs

MS Mathematics

Embarking on the pursuit of advanced knowledge and specialization in mathematics is a journey reserved for those with a passion for discovery and a thirst for intellectual challenges. It is with great excitement that we introduce our new Master of Science (MS) program in Mathematics at UET Taxila.

The MS Mathematics program is tailored for individuals who aspire to deepen their understanding of advanced mathematical theories, engage in cutting-edge research, and contribute to the forefront of mathematical innovation. In an era marked by unprecedented advancements in technology, data science, and interdisciplinary collaboration, the demand for highly skilled mathematicians has never been more pronounced.

This program is designed to offer a rigorous and dynamic curriculum, blending advanced coursework with opportunities for independent research and collaboration with leading experts in various mathematical disciplines. Our distinguished faculty members bring a wealth of expertise to the program, covering a wide range of mathematical areas such as pure mathematics, applied mathematics, mathematical modeling, and computational mathematics.

Students in the MS Mathematics program will have the flexibility to tailor their academic experience through a selection of specialized courses and research projects aligned with their interests and career goals. Whether delving into abstract algebra, numerical analysis, differential equations, or exploring the applications of mathematics in areas like artificial intelligence and cryptography, our program provides a comprehensive and customizable learning experience.

Moreover, the MS Mathematics program places a strong emphasis on preparing students for leadership roles in academia, industry, and research institutions. Graduates will be equipped with the analytical and problem-solving skills essential for addressing complex challenges and making significant contributions to the advancement of mathematical knowledge.

At UET Taxila, we foster a collaborative and intellectually stimulating environment, encouraging students to engage in interdisciplinary research and explore the intersections between mathematics and other fields. Our commitment to academic excellence, coupled with state-of-the-art facilities and resources, ensures that students in the MS Mathematics program receive a world-class education.

Join us in pushing the boundaries of mathematical inquiry and unleashing the potential that advanced mathematical knowledge holds. The MS Mathematics program at UET Taxila invites you to be part of a community dedicated to excellence, discovery, and the transformative power of mathematics.

Welcome to a new chapter in your academic journey, where the pursuit of mathematical mastery meets the limitless possibilities of the future.

MS Mathematics Courses Scheme

Four courses are offered in each semester from the following list of Core and elective courses. To earn degree, each student shall complete minimum 30 credits hours with a minimum of six (6) credit hours for research work/thesis and minimum 24 credit hours of course work with the condition that student shall pass at least 5 core courses from the following of core courses.

Core Courses

Elective Courses

Course Code

Course Title

Course Code

Course Title

  MA-5101

Theory of Group Actions

MA-5109

Mathematical Techniques for BVPs

MA-5102

Applied Linear Algebra I

MA-5110

Compressible Fluid Flow

MA-5103

Viscous Fluid Flow

MA-5111

Integral Equations

MA-5104

Partial Differential Equations

MA-5112

Magnetohydrodynamics I

MA-5105

Fuzzy Algebra

MA-5113

Numerical Solutions of Partial Differential Equations

MA-5106

Integral Transforms

MA-5114

Perturbation Methods in Fluid Mechanics

MA-5107

Mathematical Inequalities

MA-5115

Theory of Splines-I

MA-5108

Mathematical Statistics

MA-5116

Advance Operations Research-I

MA-5100

Research Thesis for MS (6 CHs.)

MA-5117

Semi Group Theory

 

 

MA-5118

Theory of Ordinary Differential Equations

 

 

MA-5119

Graph Theory

 

 

MA-5120

Probability and Random Process

 

 

MA-5121

Measure and Integration

 

 

MA-5122

Algebraic Topology I

 

 

MA-5123

Galois Theory I

 

 

MA-5124

Topics in Variational and Quasi Variational Inequalities

 

 

MA-5125

Cryptography

 

 

MA-5126

General Relativity I

 

 

MA-5127

Cosmology

 

 

MA-5128

Topological Vector Spaces



PhD Mathematics

A PhD in mathematics is a prestigious academic degree that involves advanced study and research in various branches of mathematics. Here's an introduction to what pursuing a PhD in mathematics at UET Taxila implicates:

Typically, individuals pursuing a PhD in mathematics have completed a bachelor's and/or master's degree in mathematics or a related field. Strong foundational knowledge in areas such as calculus, algebra, analysis, and discrete mathematics is essential.

Program Structure: A PhD program in mathematics typically spans several years, usually ranging from 3 to  years, although this can vary depending on the institution and the student's progress. The program usually consists of coursework, qualifying exams, and original research leading to a dissertation.

Coursework: In the initial stages of the program, students may be required to take advanced coursework in various areas of mathematics, which could include topics such as advanced calculus, algebraic structures, differential equations, probability theory, and mathematical analysis. These courses help students build a strong foundation in their chosen area of specialization.

Qualifying Exams: Many PhD programs require students to pass qualifying exams to demonstrate their proficiency in mathematics. These exams typically cover a broad range of topics and are designed to assess the student's readiness to engage in advanced research.

Research: The core component of a PhD in mathematics is original research. Students work closely with faculty advisors to identify research topics, develop hypotheses, and conduct investigations. This research culminates in a doctoral dissertation, which presents the student's findings and contributes new knowledge to the field.

Specialization: Mathematics is a broad field with many specialized areas, including pure mathematics, applied mathematics, computational mathematics, and mathematical physics, among others. Students often choose a specific area of focus for their research based on their interests and career goals.

Collaboration and Networking: Collaboration and networking are important aspects of a PhD program in mathematics. Students often collaborate with faculty members and fellow students on research projects, attend conferences, and participate in seminars and workshops to stay abreast of the latest developments in the field and to establish professional connections.

Career Opportunities: A PhD in mathematics opens a wide range of career opportunities. Many graduates pursue academic careers as professors or researchers at universities and research institutions. Others may work in industry, government agencies, or the private sector as data scientists, statisticians, actuaries, or consultants.

Overall, pursuing a PhD in mathematics is a challenging but rewarding endeavor that allows students to deepen their understanding of mathematical theory, develop advanced problem-solving skills, and make significant contributions to the field through original research.

PhD Mathematics Courses Scheme

Four courses are offered in each semester from the following list of Core and elective courses. To earn degree, each student shall complete minimum 18 credits hours of course work with the condition that student shall pass at least 3 core courses from the following of core courses and research work/thesis as per University PhD rules. that student shall pass at least 5 core courses from the following of core courses.

Core Courses

Elective Courses

Course Code

Course Title

Course Code

Course Title

MA-6101

Theory of Group Graphs

MA-6108

Magnetohydrodynamics II

MA-6102

Advanced Mathematical Modeling

MA-6109

Nilpotent and Soluble Groups

MA-6103

Applied Functional Analysis-I

MA-6110

LA Semigroups

MA-6104

Non-Newtonian Fluid Mechanics

MA-6111

Numerical Solutions of Nonlinear System of
Equations and Ordinary Differential Equations

MA-6105

Advance Complex Analysis

MA-6112

Numerical Solutions of Integral Equations

MA-6106

Advanced Fuzzy Algebra

MA-6113

Applied Linear Algebra II

MA-6107

Stochastic Processes

MA-6114

Applied Functional Analysis-II

 

 

MA-6115

Advanced Operation Research

 

 

MA-6116

Time Scale Calculus

 

 

MA-6117

Algebraic Topology II

 

 

MA-6118

Galois Theory II

 

 

MA-6119

Convex Functions

 

 

MA-6120

Approximation Theory

 

 

MA-6121

Riemannian Geometry

 

 

MA-6122

General Relativity II



 

 
University of Engineering and Technology Taxila, Department of Mathematical Sciences, 051 9047871
 

About the university

The University campus is located on the outskirts of Taxila at a distance of 5 km from the city. It is situated near railway station Mohra Shah Wali Shah on Taxila-Havelian branch line....

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Higher Education Commission Pakistan
PEC Pakistan
Pakistan Engineering Council

About Mathematical Sciences Dept.

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UET Taxila