| Year – 4 |
| Semester – VII |
| Course Code | Course Title | Credit Hours |
| MATH – 4101 | Functional Analysis | 3 |
| | Elective Course-I | 3 |
| | Elective Course-II | 3 |
| MATH – 4299 | Research Project/Dissertation | 3 |
| Students can opt one of the following Elective Course |
| MATH – 4102 | Abstract Algebra – I | 3 |
| MATH – 4103 | Advanced Calculus-I (Numerical Solutions of PDE) | 3 |
| MATH – 4104 | Advanced Numerical Analysis – I | 3 |
| MATH – 4105 | Astronomy – I | 3 |
| MATH – 4106 | Differential Geometry – I | 3 |
| MATH – 4107 | Electromagnetism – I | 3 |
| MATH – 4108 | Fluid Dynamics – I | 3 |
| MATH – 4109 | Group Theory – I (Fundamentals) | 3 |
| MATH – 4110 | History and Philosophy of Mathematics-I | 3 |
| MATH – 4111 | Measure Theory – I | 3 |
| MATH – 4112 | Modern Algebra – I (Galios Theory & Applications) | 3 |
| MATH – 4113 | Non-Linear Systems – I | 3 |
| MATH – 4114 | Numerical Solutions of Partial Differential Equations-I | 3 |
| MATH – 4115 | Operation Research – I | 3 |
| MATH – 4116 | Projective Geometry – I | 3 |
| MATH – 4117 | Quantum Mechanics – I | 3 |
| MATH – 4118 | Relativity – I | 3 |
| MATH – 4119 | Software Engineering – I (Design and Development) | 3 |
| MATH – 4120 | Theory of Processes – I | 3 |
| MATH – 4121 | Theory of Splines – I | 3 |
| MATH – 4122 | Topology – I (Topological Dimension Theory) | 3 |
| Semester – VIII |
| MATH – 4201 | Modeling & Simulation | 3 |
| MATH – 4202 | Optimization Theory | 3 |
| | Elective Course | 3 |
| MATH – 4299 | Research Project/Dissertation | 3 |
| Students can opt one of the following Elective Course |
| MATH – 4203 | Abstract Algebra – II | 3 |
| MATH – 4204 | Advanced Calculus-II (Integral Equations) | 3 |
| MATH – 4205 | Advanced Numerical Analysis – II | 3 |
| MATH – 4206 | Astronomy – II | 3 |
| MATH – 4207 | Differential Geometry – II | 3 |
| MATH – 4208 | Electromagnetism – II | 3 |
| MATH – 4209 | Fluid Dynamics – II | 3 |
| MATH – 4210 | Group Theory – II (Study of Symmetries) | 3 |
| MATH – 4211 | History and Philosophy of Mathematics – II | 3 |
| MATH – 4212 | Measure Theory – II | 3 |
| MATH – 4213 | Modern Algebra – II (Commutative Rings and Fields) | 3 |
| MATH – 4214 | Non-Linear Systems – II | 3 |
| MATH – 4215 | Numerical Solutions of Partial Differential Equations-II | 3 |
| MATH – 4216 | Operation Research – II | 3 |
| MATH – 4217 | Projective Geometry – II | 3 |
| MATH – 4218 | Quantum Mechanics – II | 3 |
| MATH – 4219 | Relativity – II | 3 |
| MATH – 4220 | Software Engineering – II (Analysis) | 3 |
| MATH – 4221 | Theory of Processes – II | 3 |
| MATH – 4222 | Theory of Splines – II | 3 |
| MATH – 4223 | Topology – II (Differential Topological) | 3 |
