Master of Science in Applied Mathematics (MSc. Applied Math)

Course Code: 
MTA

Objective of the Programme

The objectives of the programme are:

  1. To provide skills for high quality research and teaching in the field of Applied Mathematics.
  2. To raise a critical mass of mathematical modellers in the region to popularize and meet challenges of computational and mathematical applications to the industry and society.
  3. To support the application of the methods and results of Applied Mathematics in the areas of industry.
  4. To facilitate efforts of researchers in biomathematics and modelling and draw them towards interdisciplinary research.
  5. To have a combined effort at solving common regional problems such as common emerging and re-emerging tropical diseases.

Resources

  1. Staffing

The Department of Mathematics has several members of Staff with PhDs in the areas of specialisation proposed in the programme (see attached list). Members of Staff from other schools in the disciplines such as computer science, economics, statistics, biology, medicine and agriculture will also participate in the programme since the programme is interdisciplinary in nature.

 

(b) Available Resource

The Department of Mathematics is hosting a faculty computer lab of 50 computers. They are housed in   room 204 which was provided by the department.  Students who enrol on this programme will be provided with office space.

 (c) Sustainability

The funds raised from the private students will be sufficient to run the programme at all times. The programme shall admit 20 students (18 East Africans and 2 others).  The fees from the programme will cater for departmental running costs and paying of local staff involved in the teaching and supervision of students.

Tuition fees per year will be charged as follows:

East Africans              Ug.Shs.5, 200,000 per year

Others                         Ug.Shs.6, 500,000 per year

(d)  Tools, Equipment and Materials

The following tools, equipment and materials will be used in the teaching: LCD projector, computers, chalkboards, white boards, markers and chalk.

General Regulations

The programme shall be governed by the general regulations and statutes of Makerere University. The general regulations of the College of Natural Sciences shall also apply.

Admission Requirements

Admission will be open to applicants from all countries. 

The main requirement is that the person to be admitted should possess any of the following from a recognized university.

  1. Mathematics major in Bachelor of Science, Bachelor of Science with Education and related degree program of at least a good second class division or its equivalent.
  2. A  Mathematics minor in any other degree program with a good second class upper of a CGPA 4.0 and above or its equivalent

 

Structure of the New MSc. Applied Mathematics Programme

Detailed Course Description in terms of Coverage

SEMESTER I

LH

TH

PH

CH

CU

Remark

 

 

 

 

 

 

 

Core Courses

 

 

 

 

 

 

MTA7101: Measure and Probability    

45

10

20

60

4

Old

MTA7102: Applied Functional Analysis

45

30

0

60

4

Old

MTA7103: Partial Differential Equations 

45

30

0

60

4

Old

 

Electives (Choose one track and at least two Courses from that track)

Biomathematics track

MTA7104: Differential Equations and Dynamical Systems

45

10

20

60

4

Old

MTA7105: Essential Mathematical Biology                          

45

10

20

60

4

New

MTA7106: Computational Neuroscience

45

10

20

60

4

Old

MTA7107: Mathematical Physiology

45

10

20

60

4

Old

 

Financial Mathematics Track

MTA7108: Introduction to Mathematics of Finance  

45

10

20

60

4

Old

MTA7109: Stochastic Calculus                                               

45

10

20

60

4

Old

MTA7110: Operations Research and Optimization Theory

45

10

20

60

4

Old

MTA7111: Statistical Modelling

45

10

20

60

4

Old

MTA7112: Economic Modelling

45

10

20

60

4

Old

MTA7113: Time Series and Forecasting

45

10

20

60

4

Old

 

Mathematical Statistics Track

MTA7114: Fundamentals of Probability and Statistics

54

0

12

60

4

New

MTA7113: Time Series and Forecasting                                 

45

10

20

60

4

Old

MTA7111: Statistical Modelling

45

10

20

60

4

Old

MTA7115: Computational Stochastic Processes      

52

0

16

60

4

New

MTA7112: Economic Modelling

45

10

20

60

4

Old

MTA7116: Multivariate Analysis

50

20

0

60

4

New

 

Computational Science Track

MTA7117: Scientific Computing      

45

10

20

60

4

New

MTA7118: Advanced Numerical Programming              

45

10

20

60

4

New

MTA7119: The Finite Element Method                     

45

10

20

60

4

New

MTA7120: Fluid Dynamics                            

45

30

0

60

4

New

MTA7110: Operations Research and Optimization Theory 

45

10

20

60

4

Old

 

TOTAL MINIMUM NUMBER OF CU FOR SEMESTER I   IS   20

 

 

SEMESTER II

LH

TH

PH

CH

CU

Remark

 

 

 

 

 

 

 

Core Courses

 

 

 

 

 

 

MTA7201: Numerical Linear Algebra

45

30

0

60

4

Old

MTA7202: Numerical Methods for Partial Differential Equations

45

10

20

60

4

Old

MTA7203: Computational Skills and Research methods

45

10

20

60

4

Old

 

Electives (Choose at least two Courses from the track you chose in Semester one)                                                           

 

Biomathematics Track

MTA7204: Mathematical Epidemiology      

45

10

20

60

4

Old

MTA7205: Mathematical Immunology                    

45

10

20

60

4

Old

MTA7206: Stochastic Processes

45

30

0

60

4

Old

MTA 7220: Mathematical Ecology and Natural Resource Modelling

45

10

20

60

4

Old

 

Financial Mathematics Track

MTA7207: Life Insurance Mathematics       

45

10

20

60

4

Old

MTA7208: Non-Life Insurance Mathematics                  

45

10

20

60

4

Old

MTA7209: Financial Mathematics

45

10

20

60

4

Old

MTA7210: Control Theory

45

10

20

60

4

Old

MTA7206: Stochastic Processes            

45

30

0

60

4

Old

 

Mathematical Statistics Track

MTA7211: Fundamentals of Bioinformatics            

45

10

20

60

4

Old

MTA7212: Bayesian Data Analysis             

45

10

20

60

4

New

MTA7213: Advanced Statistical Theory

45

10

20

60

4

New

MTA7214: Machine Learning

45

10

20

60

4

New

MTA7215: Applied Statistics and Big Data 

45

10

20

60

4

New

MTA7216: Medical Statistics

54

0

12

60

4

New

 

Computational Science Track

MTA7210: Control Theory

45

10

20

60

4

Old

MTA7217: Modelling and Perturbation Methods              

45

10

20

60

4

New

MTA7218: Nonlinear Optimization

45

10

20

60

4

New

MTA7219: Computational Fluid Dynamics                    

45

10

20

60

4

New

 

TOTAL MINIMUM NUMBER OF CU FOR SEMESTER II   IS 20

 

SEMESTER III

LH

TH

PH

CH

CU

Remark

 

 

 

 

 

 

 

Core Courses

 

 

 

 

 

 

MTA8101: Seminar Series             

0

30

30

30

2

Old

 

TOTAL MINIMUM NUMBER OF CU FOR SEMESTER III   IS    2 

            

SEMESTER IV

LH

TH

PH

CH

CU

Remark

 

 

 

 

 

 

 

Core Courses

 

 

 

 

 

 

MTA8201: Dissertation

0

0

240

120

8

Old

 

 TOTAL MINIMUM NUMBER OF CU FOR SEMESTER IV IS   8

All course units except MTA8101: Seminar Series and MTA8201: Dissertation have 60 contact hours. All the courses are considered to weigh the same – none is more superior or more important than the other.

Years: 
2