UNIVERSITY OF DAR ES SALAAM
X
Programme Details
PhD in Mathematics
Programme Type : Post Graduate Programme Duration : 48 Months Academic Unit : College Of Natural And Applied Sciences
Programme Descriptions
The PhD programme will consist of three streams namely:
i. Pure Mathematics stream
ii. Applied Mathematics stream
iii. Mathematical Statistics Stream
The minimum number of credits for graduation will be 540, out of which a minimum of 180 credits will be for coursework and 360 credits will be for the dissertation. The coursework component will consist of core and elective courses and each course will be worth 18 credits. The core courses will account for 108 credits and the electives a minimum of 72 credits.
Course work runs for two semesters in year one and dissertation in three years. Each semester has a minimum of 5 courses and each course is 18 credits. A student must do a minimum of 5 courses (90 credits) per semester. Courses are divided in three streams as follows:
Courses for Pure Mathematics Stream
|
Code |
Course Title |
Core/ Elective |
Credit |
|
|
First Year: Semester I |
||||
|
MT 701 |
Measure Theory and Integration |
Core |
18 |
|
|
MT 702 |
Advanced Functional Analysis |
Core |
18 |
|
|
MT 703 |
Partial Differential Equations |
Core |
18 |
|
|
Elective |
18 |
|||
|
Elective |
18 |
|||
|
|
Total Credits Year 1 Semester I |
|
90 |
|
|
First Year: Semester II |
Core/Elective |
Credit |
||
|
MT 707 |
Algebra I |
Core |
18 |
|
|
MT 716 |
Differential Geometry |
Core |
18 |
|
|
MT 739 |
Advanced Topics in Topology |
Core |
18 |
|
|
Elective |
18 |
|||
|
Elective |
18 |
|||
|
|
Total Credits Year 1 Semester II |
|
90 |
|
Courses for Applied Mathematics Stream
|
Code |
Course Title |
Core/ Elective |
Credit |
||
|
First Year: Semester I |
|||||
|
MT 701 |
Measure Theory and Integration |
Core |
18 |
||
|
MT 702 |
Advanced Functional Analysis |
Core |
18 |
||
|
MT 703 |
Partial Differential Equations |
Core |
18 |
||
|
Elective |
18 |
||||
|
Elective |
18 |
||||
|
|
Total Credits Year 1 Semester I |
|
90 |
||
|
First Year: Semester II |
Core/Elective |
Credit |
|||
|
MT 705 |
Techniques of Optimization |
Core |
18 |
||
|
MT 712 |
Numerical Linear Algebra |
Core |
18 |
||
|
MT 741 |
Stochastic Processes |
Core |
18 |
||
|
Elective |
18 |
||||
|
Elective |
18 |
||||
|
|
Total Credits Year 1 Semester II |
|
90 |
||
Courses for Mathematical Statistics Stream
|
Code |
Course Title |
Core/ Elective |
Credit |
|
First Year: Semester I |
|||
|
MT 701 |
Measure Theory and Integration |
Core |
18 |
|
MT 702 |
Advanced Functional Analysis |
Core |
18 |
|
MT 703 |
Partial Differential Equations |
Core |
18 |
|
Elective |
18 |
||
|
Elective |
18 |
||
|
|
Total Credits Year 1 Semester I |
|
90 |
|
First Year: Semester II |
Core/Elective |
Credit |
|
|
MT 704 |
Probability and Statistics |
Core |
18 |
|
MT 743 |
Advanced Statistical Inference |
Core |
18 |
|
MT 748 |
Bayesian Methods for Data Analysis |
Core |
18 |
|
Elective |
18 |
||
|
Elective |
18 |
||
|
|
Total Credits Year 1 Semester II |
|
90 |
Students to choose minimum of four optional courses from the following three streams
Electives for Pure Mathematics stream
|
S/N |
Code |
Course Title |
Core/ Elective |
Credit |
|
1 |
MT 706 |
Computational and Research Methods |
Elective |
18 |
|
2 |
MT 711 |
Harmonic Analysis |
Elective |
18 |
|
3 |
MT 712 |
Numerical Linear Algebra |
Elective |
18 |
|
4 |
MT 713 |
Theory of Distributions |
Elective |
18 |
|
5 |
MT 714 |
Nonlinear Analysis |
Elective |
18 |
|
6 |
MT 715 |
Operator Theory |
Elective |
18 |
|
7 |
MT 716 |
Differential Geometry |
Elective |
18 |
|
8 |
MT 717 |
Algebra II |
Elective |
18 |
|
9 |
MT 718 |
Algebraic Number Theory |
Elective |
18 |
|
10 |
MT 719 |
Computational Algebraic Geometry |
Elective |
18 |
|
11 |
MT 720 |
Representation and Lie Theory |
Elective |
18 |
|
12 |
MT 721 |
Weyl and Commutative Algebra |
Elective |
18 |
|
13 |
MT 722 |
Advanced Homological Algebra |
Elective |
18 |
|
14 |
MT 723 |
Field and Category Theory |
Elective |
18 |
|
15 |
MT 724 |
Cryptography and Coding Theory |
Elective |
18 |
|
16 |
MT 732 |
Probabilistic Graphical models |
Elective |
18 |
|
17 |
MT 734 |
Analytic Number Theory |
Elective |
18 |
|
18 |
MT 735 |
Elliptic Curves |
Elective |
18 |
|
19 |
MT 736 |
Diophantine Geometry |
Elective |
18 |
|
20 |
MT 737 |
Algebraic Geometry |
Elective |
18 |
|
21 |
MT 738 |
Enumerative Combinatorics |
Elective |
18 |
|
22 |
MT 740 |
Complex Analysis |
Elective |
18 |
|
23 |
MT 747 |
Wavelet Theory |
Elective |
18 |
|
24 |
MT 758 |
Advanced Graph Theory |
Elective |
18 |
|
25 |
MT 759 |
Probability Methods in Combinatorics |
Elective |
18 |
Electives for Applied Mathematics stream
|
S/N |
CODE |
TITLE |
Core/ Elective |
Credit |
|
1 |
MT 706 |
Computational and Research Methods |
Elective |
18 |
|
2 |
MT 708 |
Control Theory |
Elective |
18 |
|
3 |
MT 709 |
Convex Optimization |
Elective |
18 |
|
4 |
MT 710 |
Large Scale Optimization |
Elective |
18 |
|
5 |
MT 740 |
Complex Analysis |
Elective |
18 |
|
6 |
MT 745 |
Hydrodynamic Stability Theory |
Elective |
18 |
|
7 |
MT 746 |
Numerical Solutions to Differential Equations |
Elective |
18 |
|
8 |
MT 747 |
Wavelet Theory |
Elective |
18 |
|
9 |
MT 749 |
Dynamical Systems |
Elective |
18 |
|
10 |
MT 750 |
Mathematical Epidemiology |
Elective |
18 |
|
11 |
MT 751 |
Mathematical Ecology |
Elective |
18 |
|
12 |
MT 752 |
Mathematical Immunology |
Elective |
18 |
|
13 |
MT 753 |
Mathematical Physiology |
Elective |
18 |
|
14 |
MT 754 |
Applied Bioinformatics |
Elective |
18 |
|
15 |
MT 755 |
Fuzzy Sets and Fuzzy Logic |
Elective |
18 |
|
16 |
MT 756 |
Fuzzy Engineering |
Elective |
18 |
|
17 |
MT 757 |
Fuzzy Data Analysis |
Elective |
18 |
|
18 |
MT 760 |
Advance Fluid Dynamics |
Elective |
18 |
|
19 |
MT 761 |
Applied Optimization |
Elective |
18 |
Electives for Mathematical Statistics stream
|
S/N |
CODE |
TITLE |
Core/ Elective |
Credit |
|
1 |
MT 706 |
Computational and Research Methods |
Elective |
18 |
|
2 |
MT 710 |
Large Scale Optimization |
Elective |
18 |
|
3 |
MT 725 |
Multivariate statistics |
Elective |
18 |
|
4 |
MT 726 |
Computational Statistics |
Elective |
18 |
|
5 |
MT 727 |
Mathematical Insurance |
Elective |
18 |
|
6 |
MT 728 |
Mathematical Finance |
Elective |
18 |
|
7 |
MT 729 |
Biostatistics |
Elective |
18 |
|
8 |
MT 730 |
Time series Analysis |
Elective |
18 |
|
9 |
MT 731 |
Stochastic Calculus |
Elective |
18 |
|
10 |
MT 732 |
Probabilistic Graphical Models |
Elective |
18 |
|
11 |
MT 733 |
Experimental Design |
Elective |
18 |
|
12 |
MT 742 |
Linear Statistical Models |
Elective |
18 |
|
13 |
MT 743 |
Advanced Statistical Inference |
Elective |
18 |
|
14 |
MT 744 |
Advanced Probability Theory |
Elective |
18 |
|
15 |
MT 748 |
Bayesian Methods for Data Analysis |
Elective |
18 |
|
16 |
MT 755 |
Fuzzy sets and Fuzzy Logic |
Elective |
18 |
|
17 |
MT 756 |
Fuzzy Engineering |
Elective |
18 |
|
18 |
MT 757 |
Fuzzy data Analysis |
Elective |
18 |