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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.

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.

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 |

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 |

Course Code | Course Title | Credit Hours |
---|---|---|

MATH-720 | Thesis OR (In case a student is not opting research work, he /she will be required to enrolled to elective courses of 06 credit hours) | 6(0+6) |

Total Credit Hours |
30 |

Course Code | Course Title | Credit Hours |
---|---|---|

MATH-701 | Advanced Functional Analysis | 3(3+0) |

MATH-702 | Advanced Ring Theory-I | 3(3+0) |

MATH-703 | Advanced Numerical Analysis | 3(3+0) |

MATH-704 | Mathematical Techniques for Boundary Value Problems | 3(3+0) |

MATH-705 | Advanced Real Analysis | 3(3+0) |

MATH-706 | Advanced Fluid Dynamics | 3(3+0) |

MATH-707 | Advanced Partial Differential Equations | 3(3+0) |

MATH-708 | Advanced Graph Theory | 3(3+0) |

MATH-709 | Advanced Fuzzy Graph Theory | 3(3+0) |

MATH-710 | Advanced Fuzzy System | 3(3+0) |

MATH-711 | Perturbation Methods | 3(3+0) |

MATH-712 | Advanced Analytical Dynamics | 3(3+0) |

MATH-713 | Group Theoretic Methods | 3(3+0) |

MATH-714 | Advanced Mathematical Methods | 3(3+0) |

Course Code | Course Title | Credit Hours |
---|---|---|

MATH-715 | Topological Vector Spaces | 3(3+0) |

MATH-716 | Algebraic Topology | 3(3+0) |

MATH-717 | Theory of Complex Variables | 3(3+0) |

MATH-718 | Fixed Point Theory and Applications-I | 3(3+0) |

MATH-719 | Fixed Point Theory and Applications-II | 3(3+0) |

MATH-721 | Approximation Theory and Applications | 3(3+0) |

MATH-722 | Field Extensions and Galois Theory | 3(3+0) |

MATH-723 | Algebraic Number Theory | 3(3+0) |

MATH-724 | Measure Theory | 3(3+0) |

MATH-725 | Fourier Analysis | 3(3+0) |

MATH-726 | Semigroup Theory | 3(3+0) |

MATH-727 | Theory of LA-Semigroups | 3(3+0) |

MATH-728 | Advanced Ring Theory-II | 3(3+0) |

MATH-729 | Theory of Group Actions | 3(3+0) |

MATH-730 | Theory of Group Graphs | 3(3+0) |

MATH-731 | Rough set theory and its Applications | 3(3+0) |

MATH-732 | Fuzzy Logic and Algebra | 3(3+0) |

MATH-733 | Theory of Function Spaces | 3(3+0) |

MATH-734 | Harmonic Analysis | 3(3+0) |

MATH-735 | Spectral Graph Theory | 3(3+0) |

MATH-736 | Advanced Category Theory | 3(3+0) |

MATH-737 | Theory of Locales | 3(3+0) |

MATH-738 | Topological Indices of Chemical Graphs | 3(3+0) |

MATH-739 | Young Tableaux with Applications | 3(3+0) |

MATH-740 | Advanced Riemannian Geometry | 3(3+0) |

MATH-741 | Knot Theory with Applications | 3(3+0) |

MATH-742 | Fuzzy Logic and its Applications | 3(3+0) |

MATH-743 | Analysis of Algorithms | 3(3+0) |

MATH-744 | Advanced Optimization Theory | 3(3+0) |

MATH-745 | Advanced Integral Equations | 3(3+0) |

MATH-746 | Integral Inequalities | 3(3+0) |

MATH-747 | Theory of Splines | 3(3+0) |

MATH-748 | Finite Element Method for Partial Differential Equations | 3(3+0) |

MATH-749 | Computational Fluid Dynamics | 3(3+0) |

MATH-750 | Mathematical Models in Biomathematics | 3(3+0) |

MATH-751 | Fuzzy Differential Equations | 3(3+0) |

MATH-752 | Advanced Finite Element Analysis | 3(3+0) |

MATH-753 | Financial Mathematics-I | 3(3+0) |

MATH-754 | Financial Mathematics-II | 3(3+0) |

MATH-755 | Stochastic Calculus-I | 3(3+0) |

MATH-756 | Stochastic Calculus-II | 3(3+0) |

MATH-757 | Advanced Topics in Numerical Analysis | 3(3+0) |

MATH-758 | Enumerative Combinatorics | 3(3+0) |

MATH-759 | Symmetries and Exact Solutions of Differential Equations | 3(3+0) |

MATH-760 | Mathematical Analysis of Heat Transfer | 3(3+0) |

MATH-761 | Heat and Mass Transfer | 3(3+0) |

MATH-762 | Advanced Perturbation Methods | 3(3+0) |

MATH-763 | Non-Newtonian Fluid Mechanics | 3(3+0) |

MATH-764 | Plasma Theory-I | 3(3+0) |

MATH-765 | Plasma Theory-II | 3(3+0) |

MATH-766 | Modeling and Simulation | 3(3+0) |

MATH-767 | Advanced Operation Research | 3(3+0) |

MATH-768 | Mathematical Modeling-I | 3(3+0) |

MATH-769 | Mathematical Modeling-II | 3(3+0) |

MATH-770 | Advanced Differential Equations | 3(3+0) |

MATH-771 | Theory of Difference Equations | 3(3+0) |

MATH-772 | Advanced Topics in Dynamical Systems | 3(3+0) |

MATH-773 | General Relativity-I | 3(3+0) |

MATH-774 | General Relativity-II | 3(3+0) |

MATH-775 | Fluid Dynamics | 3(3+0) |

MATH-776 | Numerical Solutions of Partial Differential Equations | 3(3+0) |

MATH-777 | Advanced Heat Transfer | 3(3+0) |

MATH-778 | Momentum and Thermal Boundary Layer Theory | 3(3+0) |

MATH-779 | Numerical Solutions of Ordinary Differential Equations | 3(3+0) |

MATH-780 | Group Analysis of Partial Differential Equations | 3(3+0) |

MATH-781 | Convective Heat Transfer: Viscous Fluids | 3(3+0) |

MATH-782 | Advanced Group Theory | 3(3+0) |

MATH-783 | Advanced Modules Theory | 3(3+0) |

MATH-784 | Advanced Topological Groups | 3(3+0) |

MATH-785 | Advanced Differential Topology | 3(3+0) |

MATH-786 | Commutative Rings | 3(3+0) |

MATH-787 | Cryptography | 3(3+0) |

MATH-788 | Semi ring | 3(3+0) |

MATH-789 | Near ring | 3(3+0) |

MATH-790 | Theory of loop groups | 3(3+0) |

MATH-791 | Research Methodology | 3(3+0) |

**Note:**

Elective may be offered from the list attached depending on the availability of resources of the department.