Master of Science in Mathematics

Purpose

The purpose of this qualification prepares learners to evaluate existing mathematics regarding quality and applicability to different branches of mathematics.

The graduates will be trained well in analytical reasoning and problem solving. The qualification will help the learner to develop the intellectual, practical and analytical skills in order to enable the learner to independently understand, formulate, apply, analyse, interpret and communicate mathematics in the chosen field.

Rationale

The Master of Science in Mathematics [MSc (Mathematics)] is an innovative qualification, drawing together traditional and modern mathematical techniques to understand mathematical structures and problems better. The breadth and depth of the modules offered and of the mini-dissertation make this MSc (Mathematics) qualification is unique. The qualification is developed in response to the need to formulate and solve problems in mathematical field. A Masters Degree in Mathematics will open a great many doors in the learner's future career. Regardless of whether the learner opts to work for a research institute or a university, it represents a crucial step in learner's development and makes one a highly priced professional. The holders of this Degree will be well qualified for a variety of careers in Mathematics and for Doctor of Philosophy (PhD) studies in Mathematics. The qualification will address the shortage of qualified Mathematicians in the country.

This qualification lays the foundation for PhD studies in Mathematics and increases the breadth and depth of knowledge and competencies in mathematical structures.

Recognition of Prior Learning

Where applicants to the qualification do not meet the admission requirements as stated above, the Recognition of Prior Learning policy of the University will be used to consider the applicant for admission, or to provide the applicant with advanced standing within the qualification.

Entry Requirements

• Bachelor of Science Honours Degree with Mathematics.

This qualification consists of compulsory modules at Level 9 totalling, 192 Credits.

Compulsory Modules

• Mini-Dissertation, 96 Credits.
• Modules and Multilinear Algebra, 12 Credits.
• Advanced Category Theory I, 12 Credits.
• Advanced General Topology I, 12 Credits.
• Topological Vector Spaces: A general Theory 12 Credits.
• Homological Algebra, 12 Credits.
• Advanced Category Theory II, 12 Credits.
• Advanced General Topology II, 12 Credits.
• Banach Algebra and Spectral Theory, 12 Credits.

1. Use mathematical theory to make logical conclusions that can be mathematically motivated.
2. Collect, analyse, and organise suitable literature on a mathematical subject (suitable for the level of qualification) and consolidate it with previous mathematical knowledge.
3. Communicate mathematics effectively and logically, using visual, mathematical and natural language in written and oral form.
4. Consider the possibility of application of mathematics theories (studied in the modules) to other branches of mathematics.
5. Plan and conduct research in mathematics on an appropriate topic.

Associated Assessment Criteria for Exit Level Outcome 1

• Formulate, solve, analyse and interpret mathematical problems in terms of the underlying mathematical theory.
• Make logical conclusions that can be mathematically motivated.

Associated Assessment Criteria for Exit Level Outcome 2

• Solve mathematical problems individually and cooperatively.
• Formulate strategies for solving advanced mathematics problems.
• Formulate strategies for solving novel theoretical problems.

Associated Assessment Criteria for Exit Level Outcome 3

• Interrogate relevant information pertaining to the strengths and weaknesses of an argument addressing a particular mathematical context.
• Use properly formulated arguments to identify critical factors that impact on a mathematical problem.
• Express own opinion on a topic justifying them with appropriate reasoning skills.
• Write a scientific scholastic document using appropriate terminology, formatting and referencing skills.

Associated Assessment Criteria for Exit Level Outcome 4

• Use appropriate terminology to orally communicate mathematics solutions to a variety of audiences such as the public, government, colleagues and scientific community.
• Prepare appropriate visual methods to effectively communicate mathematical concepts to a variety of audiences.
• Communicate, both verbally and in writing, mathematical ideas at a variety of levels from technical to intuitive.

Associated Assessment Criteria for Exit Level Outcome 5

• Identify a research topic and define the hypothesis of the investigation.
• Compose a literature review using appropriate resources in a logical way to introduce the research problem.
• Provide a valid critique of existing knowledge related to the problem and within the broader sphere of mathematics.
• Appropriately plan the research methodology taking into account available and relevant techniques as well as limitations.
• Conduct the research in a scientifically appropriate manner. Accurately interpret the results.
• Orally defend the research with peers, supervisors and assessors.
• Write a scientific scholastic document using appropriate terminology, formatting and referencing skills and ensure that no plagiarism is done.

Integrated Assessment

Formative Assessment in form of theoretical tests and assignments will contribute 60% towards the Final Mark while Summative Assessment if form of a 3 hour examination will contribute 40% towards the Final Mark. The assessment will be designed to meet Level 9 descriptors. There must be evidence of the integration of knowledge and skills throughout the assessment process and there must be opportunities for learners to show that they are able to demonstrate the achievement of a number of learning outcomes within a single assessment task.