The Master of Science in Mathematical Modelling programme was launched in the department of Mathematics in 2008. The programme runs for a period of two years on a full-time, the first year being the coursework year and the second year is for dissertation. The programme was last reviewed in 2016 and the main aim of the review was to form a programme that gives a strong mathematical base for the PhD in mathematics programme by coursework and dissertation (started in the academic year 2016/2017).A? The second aim for the review was to make the MSc. programme’s curriculum more internationally and regionally comparable and competitive.A? Some old courses were revised and new courses developed.

The Department of Mathematics of UDSM at the moment has 23 academic staff members with PhD degrees. These staff members will be involved in the running of this programme. The Department of Mathematics also has enough space, good library facilities, and computing facilitates to support this programme effectively.

**A?**

**Course Mappings of the MSc. Mathematical Modelling Programme**

**A?Semester I Courses**

COURSE CODE |
COURSE TITLE |
STATUS |
CREDITS |

MT 663 | Ordinary Differential Equations | Core | 12 |

MT 602 | Numerical Analysis | Core | 12 |

MT 619 | Applied Functional Analysis | Core | 12 |

MT 641 | Advanced Mathematical Statistics | Core | 12 |

Elective | Elective | 12 | |

Total |
60 |

**Semester II Courses**

COURSE CODE |
COURSE TITLE |
STATUS |
CREDITS |

MT 604 | Optimization Methods of Operations Research | Core | 12 |

MT 631 | Stochastic Differential Equations | Core | 12 |

MT 683 | Partial Differential Equations | Core | 12 |

Elective | Elective | 12 | |

Elective | Elective | 12 | |

Total |
60 |

**Electives Courses**

CODE |
TITLE |
Semester |
CREDITS |

A?MT 601 | Advanced Probability Theory | II | 12 |

MT 605 | Advanced Linear Algebra | II | 12 |

MT 609 | Numerical solution of PDEs | II | 12 |

MT 610 | Complex Analysis | II | 12 |

MT 628 | Mathematical Finance and Insurance | I | 12 |

MT 640 | Numerical Linear Algebra | II | 12 |

MT 643 | Statistical Inference | I | 12 |

MT 644 | Stochastic Systems | II | 12 |

MT 646 | Bayesian Sampling methods | I | 12 |

MT 647 | Fourier Analysis | I | 12 |

MT 652 | Biomathematics | II | 12 |

MT 659 | Measure Theory and Integration | II | 12 |

MT 660 | Computer Programming | I | 12 |

MT 664 | Graph Theory | I | 12 |

MT 665 | Mathematical PackagesA? for Scientific Computations | II | 12 |

MT 672 | Fluid Dynamics I | I | 12 |

MT 676 | Fluid Dynamics II | II | 12 |