### Entrance Exams

M.Sc. Mathematics (Semester System) runs for two academic years, i.e., four semesters. The total aggregate of credit hours for the four semesters is at least 100.

## Eligibility

## M.Sc Mathematics Entrance Examination

- The weightage of the entrance examination will be
**100 full marks**, and the duration will be**2 hours.**Questions are asked according to the B.Sc/BA Mathematics syllabus prescribed by the committee. - The questions will be Objective or Multiple choice questions (MCQs). Each question will carry 1 (one) weightage.
**35% marks**must be obtained to pass the entrance examination.

## Admission Criteria

- Students must attend and pass the entrance examination.
- Pass mark for the entrance examination is 35%.
- Students will be enrolled on the basis of merit. Merit list is published on the basis of both marks obtained in Bachelor level and entrance examination.

**Merit list:**= 20% (marks obtained in B.Sc) + 80 % (marks secured in entrance examination)

In Central department and constituent campuses of Tribhuvan University; out of total available seats 80% seats will be filled from free competition and 20% from reserved (inclusive) category.

Students who want to compete from proportional representation category must fulfilled following criteria.

- Passed SLC from community schools
- Students who are permanent resident of backward region must have passed SLC from the same region
- Students must have passed Bachelor level from constitutent campus of Tribhuvan University or Community campuses.

Documents needed:

If any seats remain vacant in the inclusive/reserved category; remaining seats will be fulfilled from the merit list of free competition.

## Curricular Structure

Course No. |
Course Title |
Credit Hours |
Full Marks |
Pass Mark |

Math 551 | Topology I | 5 | 50 | 25 |

Math 551(a) | Problems in Topology I | 2 | 20 | 10 |

Math 552 | Topology II | 5 | 50 | 25 |

Math 552(a) | Problems in Topology II | 2 | 20 | 10 |

Math 553 | Measure Theory and Integration I | 5 | 50 | 25 |

Math 553 (a) | Problems in Measure Theory and Integration I | 2 | 20 | 10 |

Math 554 | Functional Analysis I | 5 | 50 | 25 |

Math 554(a) | Problems in Functional Analysis I | 2 | 20 | 10 |

Math 555 | Complex Analysis and Application I | 5 | 50 | 25 |

Math 555(a) | Problems in Complex Analysis and Application I | 2 | 20 | 10 |

Math 556 | Differential Equations | 5 | 50 | 25 |

Math 556(a) | Problems in Differential Equations | 2 | 20 | 10 |

Math 557 | Theory of Function I | 5 | 50 | 25 |

Math 557(a) | Problems in Theory of Function I | 2 | 20 | 10 |

Math 558 | Theory of Function II | 5 | 50 | 25 |

Math 558(a) | Problems in Theory of Function II | 2 | 20 | 10 |

Math 559 | Differential Geometry | 5 | 50 | 25 |

Math 559(a) | Problems in Differential Geometry | 2 | 20 | 10 |

Course No. |
Course Title |
Credit Hours |
Full Marks |
Pass Mark |

Math 560 | Combinatorial Optimization | 5 | 50 | 25 |

Math 560(a) | Problems in Combinatorial Optimization | 2 | 20 | 10 |

Math 561 | Mathematical Programming | 5 | 50 | 25 |

Math 561(a) | Problems in Mathematical Programming | 2 | 20 | 10 |

Math 562 | Mathematical Analysis | 5 | 50 | 25 |

Math 562(a) | Problems in Mathematical Analysis | 2 | 20 | 10 |

Math 563 | Functions of Several Variables | 5 | 50 | 25 |

Math 563(a) | Problems in Functions of Several Variables | 2 | 20 | 10 |

Math 564 | Elementary Harmonic Analysis | 5 | 50 | 25 |

Math 564(a) | Problems in Elementary Harmonic Analysis | 2 | 20 | 10 |

Math 565 | Algebra I | 5 | 50 | 25 |

Math 565(a) | Problems in Algebra I | 2 | 20 | 10 |

Math 566 | Algebra II | 5 | 50 | 25 |

Math 566(a) | Problems in Algebra II | 2 | 20 | 10 |

Math 567 | Linear Algebra | 5 | 50 | 25 |

Math 567(a) | Problems in Linear Algebra | 2 | 20 | 10 |

Math 568 | Linear Algebra and Its Application | 5 | 50 | 25 |

Math 568(a) | Problems in Linear Algebra and Its Application | 2 | 20 | 10 |

Math 569 | Introduction to the Theory of Sets | 5 | 50 | 25 |

Math 569(a) | Problems in Introduction to the Theory of Sets | 2 | 20 | 10 |

Math 570 | Theory of Numbers I | 5 | 50 | 25 |

Math 570(a) | Problems in Theory of Numbers I | 2 | 20 | 10 |

Math 571 | Mechanics | 5 | 50 | 25 |

Math 571(a) | Problems in Mechanics | 2 | 20 | 10 |

Math 572 | Functional Analysis II | 5 | 50 | 25 |

Math 572(a) | Problems in Functional Analysis II | 2 | 20 | 10 |

Math 573 | Harmonic Analysis | 5 | 50 | 25 |

Math 573(a) | Problems in Harmonic Analysis | 2 | 20 | 10 |

Math 574 | Special Function I | 5 | 50 | 25 |

Math 574(a) | Problems in Special Function I | 2 | 20 | 10 |

Math 575 | Special Function II | 5 | 50 | 25 |

Math 575(a) | Problems in Special Function II | 2 | 20 | 10 |

Math 576 | Partial Differentiation Equations I | 5 | 50 | 25 |

Math 576(a) | Problems in Partial Differentiation Equations I | 2 | 20 | 10 |

Course No. |
Course Title |
Credit Hours |
Full Marks |
Pass Mark |

Math 577 | Integral Transforms I | 5 | 50 | 25 |

Math 577(a) | Problems in Integral Transforms I | 2 | 20 | 10 |

Math 578 | Measure Theory and Integration II | 5 | 50 | 25 |

Math 578(a) | Problems in Measure Theory and Integration II | 2 | 20 | 10 |

Math 579 | Scheduling Theory | 5 | 50 | 25 |

Math 579(a) | Problems in Scheduling Theory | 2 | 20 | 10 |

Math 580 | Integer Programming | 5 | 50 | 25 |

Math 580(a) | Problems in Integer Programming | 2 | 20 | 10 |

Math 581 | Network Optimization | 5 | 50 | 25 |

Math 581(a) | Problems in Network Optimization | 2 | 20 | 10 |

Math 582 | Graph Theory | 5 | 50 | 25 |

Math 582(a) | Problems in Graph Theory | 2 | 20 | 10 |

Math 583 | Numerical Analysis | 5 | 50 | 25 |

Math 583(a) | Problems in Numerical Analysis | 2 | 20 | 10 |

Math 584 | Numerical Optimization | 5 | 50 | 25 |

Math 584(a) | Problems in Numerical Optimization | 2 | 20 | 10 |

Math 585 | Dynamical Systems | 5 | 50 | 25 |

Math 585(a) | Problems in Dynamical Systems | 2 | 20 | 10 |

Math 586 | Dynamics of Viscous Fluids | 5 | 50 | 25 |

Math 586(a) | Problems in Dynamics of Viscous Fluids | 2 | 20 | 10 |

Math 587 | Partial Differentiation Equations II | 5 | 50 | 25 |

Math 587(a) | Problems in Partial Differentiation Equations II | 2 | 20 | 10 |

Math 588 | Introducing to C Programming | 3 | 30 | 15 |

Math 589 | Seminar | 2 | 20 | 10 |

Math 590 | Thesis | 5 | 50 | 25 |

Math 591 | Integral Transform II | 5 | 50 | 25 |

Math 591(a) | Problems in Integral Transformation II | 2 | 20 | 10 |

Math 592 | Complex Analysis and Applications II | 5 | 50 | 20 |

Math 592(a) | Problems in Complex Analysis and Applications II | 2 | 20 | 10 |

Math 593 | Theory of Numbers II | 5 | 50 | 25 |

Math 593(a) | Problems in Theory of Numbers II | 2 | 20 | 10 |

Math 594 | Scientific Computing | 5 | 50 | 25 |

Math 595 | Analysis of Finite Difference Schemes | 5 | 50 | 25 |

Math 596 | Introduction to Commutative Algebra | 5 | 50 | 25 |

Math 597 | Location Analysis | 5 | 50 | 25 |

Math 598 | Mathematical Models in Biology | 5 | 50 | 25 |

Math 599 | Advanced Ordinary Differential Equations | 5 | 50 | 25 |