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PhD Mathematics Program Educational Objectives
The PhD Mathematics program aims to:
Pursue professional practices in mathematics or advanced research based on the technical skills and knowledge in pure mathematics, applied mathematics, mathematical modeling, and supported disciplines.
Encourage students to develop and use abstract models in addition to applying respective methodologies in practical and scholarly situations.
Provide practical skills to the students to initiate their career in academic institutions, research organizations, industries, and various organizations related to mathematics.
Prove mastery of the mathematics knowledge and skills necessary to work as a professional mathematician, by demonstrating an understanding of current mathematical models, analytical techniques, and scholarly practices.
Provide formal foundations for higher learning and contribute to the advancement of knowledge in the field of mathematics.
COURSE FACTS |
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Study Level |
Study Mode |
Program Length |
Credit Hours |
Intake |
Class Timings |
|
|---|---|---|---|---|---|---|
|
Post-graduate |
Full Time |
6 Semesters (3 Years) |
50 |
Spring & Fall Semesters |
Weekend Morning |
|
ENTRY TO PHD Mathematics |
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|
Eligibility |
Selection Criteria |
Scholarships |
Application |
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18 years of education (MS/M.Phil.) will be required for admission in the PhD Mathematics program with a minimum cumulative grade point average (CGPA) of 3.00 on the 4.00 scale in the semester system or 60% (in the annual system) in the most recent degree obtained as per HEC criteria. |
Academic Qualification: 30% |
Need & Merit Based upto 100% |
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| Course Code | Course Title | Cr. Hr. |
|---|---|---|
| MAT XXX | Elective I | 3(3-0) |
| MAT XXX | Elective II | 3(3-0) |
| MAT XXX | Elective III | 3(3-0) |
| Total | 9 |
| Course Code | Course Title | Cr. Hr. |
|---|---|---|
| MAT xxx | Elective IV | 3(3-0) |
| MAT xxx | Elective V | 3(3-0) |
| MAT XXX | Elective VI | 3(3-0) |
| UR 811 | Professional Ethics-II | 2(2-0) |
| Total | 11 |
| Course Code | Course Title | Credit Hours |
|---|---|---|
| MAT-799 | Research Thesis | 30 |
| Total | 30 |
TO Onwords**
| Course Code | Course Title | Credit Hours |
|---|---|---|
| MAT-799 | Research Thesis | 30 |
| Total | 30 |
TO Onwords**
| Course Code | Course Title | Credit Hours |
|---|---|---|
| MAT-799 | Research Thesis | 30 |
| Total | 30 |
TO Onwords**
| Course Code | Course Title | Credit Hours |
|---|---|---|
| MAT-799 | Research Thesis | 30 |
| Total | 30 |
TO Onwords**
| Course Code | Course Title | Cr. Hr. | Course Code | Course Title | Cr. Hr. |
|---|---|---|---|---|---|
| MAT 7001 | Advanced Functional Analysis | 3 | MAT 7012 | Fuzzy Logic and Algebra | 3 |
| MAT 7002 | Theory of Complex Variables | 3 | MAT 7013 | Advanced Graph Theory | 3 |
| MAT 7003 | Fixed Point Theory and Applications-I | 3 | MAT 7014 | Theory of Function Spaces | 3 |
| MAT 7004 | Fixed Point Theory and Applications-II | 3 | MAT 7015 | Harmonic Analysis | 3 |
| MAT 7005 | Measure Theory | 3 | MAT 7016 | Advanced Real Analysis | 3 |
| MAT 7006 | Fourier Analysis | 3 | MAT 7017 | Spectral Graph Theory | 3 |
| MAT 7007 | Semigroup Theory | 3 | MAT 7018 | Topological Indices of Chemical Graphs | 3 |
| MAT 7008 | LA-Semigroups | 3 | MAT 7019 | Young Tableaux with Applications | 3 |
| MAT 7009 | Advanced Ring Theory-l | 3 | MAT 7052 | Advanced Group Theory | 3 |
| MAT 7010 | Advanced Ring Theory-ll | 3 | MAT 8030 | Topics in Pure Mathematics | 3 |
| MAT 7011 | Rough set theory and its Applications | 3 | |||
| MAT 7041 | Advanced Numerical Analysis | 3 | MAT 8041 | Advanced Finite Element Analysis | 3 |
| MAT 7042 | Numerical Solution of Partial Differential Equations | 3 | MAT 8042 | Financial Mathematics I | 3 |
| MAT 7043 | Integral Inequalities | 3 | MAT 8043 | Financial Mathematics II | 3 |
| MAT 7044 | Computational Fluid Dynamics | 3 | MAT 8044 | Stochastic Calculus I | 3 |
| MAT 7045 | Mathematical Methods in Biomathematics | 3 | MAT 8045 | Stochastic Calculus II | 3 |
| MAT 7046 | Fuzzy Differential Equations | 3 | MAT 7047 | Advanced Topics in Numerical Analysis | 3 |
| MAT 7050 | Theory of Integral Partitions | 3 | MAT 7048 | Enumerative Combinatorics | 3 |
| MAT 7051 | Advanced Fuzzy Linear Programing | 3 | MAT 8060 | Topics in Computation Mathematics | 3 |
| MAT 7071 | Symmetries and Exact Solutions of Differential Equations | 3 | MAT 8071 | Modeling & Simulation | 3 |
| MAT 7072 | Mathematical Analysis of Heat Transfer | 3 | MAT 8072 | Advanced Operation Research | 3 |
| MAT 7073 | Advanced Analytical Dynamics | 3 | MAT 8073 | Mathematical Modeling-l | 3 |
| MAT 7074 | Perturbation Methods | 3 | MAT 8074 | Mathematical Modeling-II | 3 |
| MAT 7075 | Non-Newtonian Fluid Mechanics | 3 | MAT 7079 | Advanced Differential Equations | 3 |
| MAT 7076 | Plasma Theory-I | 3 | MAT 7080 | Theory of Difference Equations | 3 |
| MAT 7077 | Plasma Theory-II | 3 | MAT 7081 | Advanced Topics in Dynamical Systems | 3 |
| MAT 7078 | Mathematical Techniques for Boundary Value Problem | 3 | MAT 8090 | Topics in Applied Mathematics | 3 |