Msc. Mathematics (pure mathematics)

Course Code:

MTH

The MSc Math shall provide training for mathematicians who are interested in the fundamental ideas of Mathematics without necessarily applying them but being well disposed to their application. It will also provide training for those who intend to apply Mathematics in industry, economic development and scientific research. This training is to be done without losing sight of the importance for this type of mathematician possessing a good understanding of fundamental mathematical concepts that are widely used in applications.

This programme is mainly Pure Mathematics and is Plan A (Coursework and Dissertation). The Department has a Master of Science in Applied Mathematics to cater for Applied Mathematicians.

Objective of the Programme

The general objective of the programme is to train professional mathematicians capable of promoting the teaching, research, application and outreach of Mathematics in Uganda and beyond.

The specific objectives of the programme are to:

(a) provide skills for high quality research and teaching in the field of Mathematics,

(b) produce a critical mass of persons with a solid mathematical base that they can use to popularize and meet the challenges of mathematical applications to the industry and society,

Resources

(a) Funding and Staffing

This private programme will be conducted by the existing members of staff in the Department. See Staff list in the Appendix I. The current staff is supplemented by staff from our collaborators. The Department of Mathematics is a member of the Eastern Africa Mathematics Universities Programme (EAUMP). The other universities in this network are University of Dar es Salaam, University of Nairobi, University of Rwanda and University of Zambia. All activities of the network are supported by the International Science Programme, Sweden.

(b) Available Resources

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 enroll on this programme will be provided with office space.

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.

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.
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 New MSc Mathematics Programme

SEMESTER I

Core Courses:	LH	TH	PH	CH	CU	Remark
MTH7101: Functional Analysis II	45	30	0	60	4	Old
MTH7102: Group Theory	45	30	0	60	4	Old
MTH7103: General Topology	45	30	0	60	4	Old

Elective Courses (Choose and pass at least two courses)
MTH7104: Real Analysis III	45	30	0	60	4	New
MTH7105: Complex Analysis II	45	30	0	60	4	New
MTA7103: Partial Differential Equations	45	30	0	60	4	Old

TOTAL MINIMUM NUMBER OF CU FOR SEMESTER I IS 20

SEMESTER II

Core Courses:	LH	TH	PH	CH	CU	Remark
MTH7201: Commutative Algebra	45	30	0	60	4	New
MTH7202: Fields and Galois Theory	45	30	0	60	4	New
MTA7203: Computational Skills and Research Methods	45	10	20	60	4	Old

Elective Courses (Choose and pass at least two courses from one of the following tracks)
Analysis track
MTH7206: Algebraic Topology	45	30	0	60	4	New
MTH7209: Fourier Analysis and Distribution Theory	45	30	0	60	4	New
MTH7211: Logic and Set Theory	45	30	0	60	4	New
MTH7215: Differential Geometry	45	30	0	60	4	New
MTH7222: Utra-metric Analysis	45	30	0	60	4	New
MTA7201: Numerical Linear Algebra	45	30	0	60	4	New

Algebra and Geometry track
MTH7203: Non-commutative Ring Theory	45	30	0	60	4	New
MTH7204: Algebraic Geometry	45	30	0	60	4	New
MTH7205: Computational Algebra	45	30	0	60	4	New
MTH7212: Advanced Linear Algebra	45	30	0	60	4	New
MTH7213: Algebraic Number Theory	45	30	0	60	4	New
MTH7214: Radical Theory of Rings	45	30	0	60	4	New
MTH7217: Diophantine Geometry	45	30	0	60	4	New
MTH7221: Representation Theory of Finite Groups	45	30	0	60	4	New
MTA7201: Numerical Linear Algebra	45	30	0	60	4	New

Number Theory and Discrete Mathematics track
MTH7207: Combinatorics	45	30	0	60	4	New
MTH7208: Graph Theory	45	30	0	60	4	New
MTH7210: Modular Forms	45	30	0	60	4	New
MTH7213: Algebraic Number Theory	45	30	0	60	4	New
MTH7216: Function Field Arithmetic	45	30	0	60	4	New
MTH7217: Diophantine Geometry	45	30	0	60	4	New
MTH7218: Analytic Number Theory	45	30	0	60	4	New
MTH7219: Algebraic Graph Theory	45	30	0	60	4	New
MTH7220: Mathematical Cryptography & Coding Theory	45	30	0	60	4	New
MTH7222: Ultra-metric Analysis	45	30	0	60	4	New
MTA7201: Numerical Linear Algebra	45	30	0	60	4	New

TOTAL MINIMUM NUMBER OF CU FOR SEMESTER II IS 20

SEMESTER III

Core Courses:	LH	TH	PH	CH	CU	Remark
MTA8101: Seminar Series	0	30	30	30	2	Old

TOTAL MINIMUM NUMBER OF CU FOR SEMESTER III IS 2

SEMESTER IV

Core Courses:	LH	TH	PH	CH	CU	Remark
MTA8201: Dissertation	0	0	240	120	8	Old

TOTAL MINIMUM NUMBER OF CU FOR SEMESTER IV IS 8

Years:

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Msc. Mathematics (pure mathematics)