Master of Science in Applied Mathematics

Purpose

The qualification equips learners with sufficient knowledge of applied and computational mathematics so that they will be able to apply their knowledge to at least one application area, whether through modelling or computation. The qualification also provides learners with an opportunity to engage in research via the completion of a mini-dissertation.

The learners will be trained 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

Master of Science in Applied Mathematics (MSc Applied Mathematics) is an innovative qualification, drawing together traditional and modern mathematical techniques in a variety of social science contexts. It is designed for applied mathematicians who wish to be more marketable by adding some social science aspects to their knowledge and skills base. The skills and knowledge gained in the qualification will open up a wide range of potential careers, including finance, business and industry. The qualification will provide sufficient breadth and depth of experience in applied mathematics so that learners can significantly advance their career prospects within the academic field (especially continuing with Ph.D. studies) and in specialised sectors of industry and commerce.

The qualification will address the shortage of qualified Applied Mathematicians in the country.

Recognition of Prior Learning (RPL)

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 in Applied Mathematics or an equivalent Level 8 qualification.

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

• Mini-Dissertation, 96 Credits.
• Nonlinear Dynamical Systems: Theory and Applications I, 12 Credits.
• Fluid Dynamics I, 12 Credits.
• Advanced Stochastic Differential Equations, 12 Credits.
• Numerical Analysis of Partial Differential Equations I, 12 Credits.
• Nonlinear Dynamical Systems: Theory and Applications II, 12 Credits.
• Fluid Dynamics II, 12 Credits.
• Advanced Financial Mathematics, 12 Credits.
• Numerical Analysis of Partial Differential Equations II, 12 Credits.

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

Associated Assessment Criteria for Exit-Level-Outcome 1

• Formulate, 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 applied mathematics problems.
• Formulate strategies for solving novel theoretical problems.

Associated Assessment Criteria for Exit-Level-Outcome 3

• Conduct a literature review on a given topic in applied mathematics.
• State and apply important results in key mathematical areas, with the ability to provide proof-based arguments of these and related results.
• Demonstrate competence to engage in independent learning through well-developed mathematical skills.

Associated Assessment Criteria for Exit-Level-Outcome 4

• Use appropriate terminology to orally communicate applied mathematics solutions to a variety of audiences such as the public, government, colleagues and scientific community.
• Prepare appropriate visual methods to effectively communicate applied 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

• Defend the use of appropriate mathematical theories to solve problems across different disciplines.
• Apply mathematical concepts to solve real life problems.

Associated Assessment Criteria for Exit-Level-Outcome 6

• 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 applied 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. The Summative Assessment will comprise a 3 hour examination which will contribute 40% towards the final mark. The assessment will be designed to meet the Level 9 Descriptors. There must be evidence of the integration of knowledge and skills throughout the assessment process. All the examination papers will be internally and externally moderated. There will 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. The mini-dissertation will be examined by an external assessor.