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.
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.
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
|
|