MPHIL MATHEMATICS

MPMATH

COURSE FACT

STUDY LEVEL STUDY NOTE PROGRAM DURATION CREDITS HOURS

Post Graduate

Full-Time

4 Semesters (2 years)

30

Eligibility Criteria

16 Years of Education, BS (4 Years) /MSC mathematics (2 Years) or in equivalent field. Min CGPA 2.5 /4.0, or minimum marks 50% marks in annual system. GAT/HAT General/TUF Entry Test with minimum 50% score. Students from equivalent fields (interdisciplinary qualification) will enroll 6-9 credit hours (CH) of deficiency courses of level 6.

ADP ISLAMIC STUDIES

Bachelors of Science in Cyber Security

ADP Nutrition and Dietetics Sciences

Master of Science in Medical Laboratory Sciences

M.Phil.Cosmo-Pharmaceutics

Master of Science in Artificial Intelligence

ADMISSIONS

OPEN 2024

OBJECTIVES

Upon completion of the BS Mathematics program at TUF, Students majoring in Mathematics attain proficiency in:

• The ability to recognize, evaluate, integrate, and apply different types of information and knowledge to form independent judgments.

• Analytical and logical thinking and the habit of drawing conclusions based on quantitative information.

• The ability to measure and understand complex situations, choose among several theoretically proper mathematical methods of solution and continue in the face of difficulty.

• The ability to communicate and interact effectively with different audiences, developing their ability to collaborate intellectually and creatively in diverse situations.

• The ability to understand the basic rules of logic, including the role of axioms or assumptions and appreciate the role of mathematical proof in formal deductive reasoning in everyday life.

ROLE AND SCOPE

Bachelor & Master program in Mathematics are designed for those students who want to pursue their study in the field of Mathematics. Mathematics is a basic and powerful tool for solving problems and a highly creative field of study. Mathematics is important to all areas of our society and is a foundation for many different kinds of careers. Mathematical graduates are in high demand and can obtain well paid work in many areas, including teaching, investment banking and finance; the civil service; the pharmaceutical industry; and medicine statistics. Mathematics graduates are highly employable due to the advanced problem-solving, analytical skills and higher level numeracy skills developed by studying this subject.

Semester 1

Course Code Course Title Credit Hours
MATH-xxx Core-I 3(3-0)
MATH-xxx Core-II 3(3-0)
MATH-xxx Elective I 3(3-0)
MATH-xxx Elective II 3(3-0)
  Credit Hours 12

Semester 2

Course Code Course Title Credit Hours
MATH-xxx Core-III 3(3-0)
MATH-xxx Core-IV 3(3-0)
MATH-xxx Elective III 3(3-0)
MATH-xxx Elective IV 3(3-0)
  Credit Hours 12

Semester 3 & 4

Course Code Course Title Credit Hours
MATH-720 Thesis 6(0-6)
  Total Credit Hours 30

List of Core Courses

Course Code Course Title Credit Hours
MATH-701 Theory of Function Analysis 3(3-0)
MATH-702 Ring Structure-I 3(3-0)
MATH-703 Ring Structure-II 3(3-0)
MATH-704 Fuzzy Technique 3(3-0)
MATH-705 Technique of Fuzzy Graph 3(3-0)
MATH-706 Theory of Real Analysis 3(3-0)
MATH-707 Advanced Numerical Analysis 3(3-0)
MATH-708 Fluid Dynamics with Applications 3(3-0)
MATH-709 Partial Differential Equations with Applications 3(3-0)
MATH-710 Perturbation Methods for Differential Equations 3(3-0)
MATH-711 Group Theoretic Methods 3(3-0)

List of Elective Courses

Course Code Course Title Credit Hours
MATH-712 Theory of Topological Vector Spaces 3(3-0)
MATH-713 Theory of Algebraic topology 3(3-0)
MATH-714 Complex Variables 3(3-0)
MATH-715 Fixed Point Theory-I 3(3-0)
MATH-716 Fixed Point Theory-II 3(3-0)
MATH-717 Approximation Theory 3(3-0)
MATH-718 Field of Galois theory 3(3-0)
MATH-719 Number Theory 3(3-0)
MATH-721 Measure Theory 3(3-0)
MATH-722 Technique of Semigroup 3(3-0)
MATH-723 Group Actions 3(3-0)
MATH-724 Group Graphs 3(3-0)
MATH-725 Rough Set Theory 3(3-0)
MATH-726 Modelling of Fuzzy Logic 3(3-0)
MATH-727 Function Spaces 3(3-0)
MATH-728 Spectral Graph Theory 3(3-0)
MATH-729 Near Ring Theory 3(3-0)
MATH-730 Semi Ring Theory 3(3-0)
MATH-731 Technique of Cryptography 3(3-0)
MATH-732 Commutative Ring Theory 3(3-0)
MATH-733 Differential Topology 3(3-0)
MATH-734 Theory of topological groups 3(3-0)
MATH-735 Modules Theory 3(3-0)
MATH-736 Group Theory 3(3-0)
MATH-737 Fuzzy Differential Equations 3(3-0)
MATH-738 Category Theory 3(3-0)
MATH-739 Locales Theory 3(3-0)
MATH-740 Topological Indices 3(3-0)
MATH-741 Riemannian Geometry 3(3-0)
MATH-742 Optimization Theory 3(3-0)
MATH-743 Modelling of Integral Inequalities 3(3-0)
MATH-744 Theory of Financial Mathematics 3(3-0)
MATH-745 Operation Research 3(3-0)
MATH-746 Integral Equations and Their Applications 3(3-0)
MATH-747 Graph Theory with Applications 3(3-0)
MATH-748 Heat and Mass Transfer 3(3-0)
MATH-749 Analytical Dynamics of Particle 3(3-0)
MATH-750 Magnetohydrodynamics 3(3-0)
MATH-751 Finite Element Method for Partial Differential Equations 3(3-0)
MATH-752 Numerical Solutions of Partial Differential Equations 3(3-0)
MATH-753 Numerical Solutions of Ordinary Differential Equations 3(3-0)
MATH-754 Newtonian Fluid Mechanics 3(3-0)
MATH-755 Financial Mathematics-I 3(3-0)
MATH-756 Financial Mathematics-II 3(3-0)
MATH-757 Stochastic Calculus-I 3(3-0)
MATH-758 Stochastic Calculus-II 3(3-0)
MATH-759 Enumerative Combinatorics 3(3-0)
MATH-760 Symmetries and Exact Solutions of Differential Equations 3(3-0)
MATH-761 General Relativity-I 3(3-0)
MATH-762 General Relativity-II 3(3-0)
MATH-763 Fourier Analysis 3(3-0)
MATH-764 Mathematical Techniques for Boundary Value Problems 3(3-0)
MATH-765 Multivariate Methods and Analysis 3(3-0)
MATH-766 Finite Element Analysis 3(3-0)
MATH-767 Research Methodology in Mathematics 3(3-0)
MATH-768 Theory of LA-Semigroups 3(3-0)