Bachelor of Science Honours in Applied Mathematics

The primary purpose of this qualification is to provide qualifying learners with the ability

• To develop intellectual and practical analytical skills to enable the learner to read.
• To analyse a problem from an unknown field and construct a solvable mathematical model; and.
• To analyse, formulate, interpret, understand, communicate and apply mathematics.

The qualification prepares learners for a career in a mathematically orientated field and provides a basis for further postgraduate studies in Mathematics.

Rationale

The qualification is a specialisation in the field of Applied Mathematics aimed at preparing the learners for research based post graduate study. The qualification serves to consolidate and deepen the learner's expertise in Applied Mathematics and to develop research capacity in the methodology and techniques of Applied Mathematics. This qualification demands a high level of theoretical engagement and intellectual independence.

Recognition of Prior Learning(RPL)

Recognition of Prior Learning (RPL) is done in accordance with the University of Johannesburg RPL Policy. In cases of students not complying with the formal entry requirements, RPL will be determined in accordance with the policy and guideline of the University concerning the recognition of other forms of formal, informal and non-formal learning and experience. Recognition takes place only where prior learning corresponds to the required National Qualifications Framework(NQF) Level, and in terms of applied competencies relevant to the content and outcomes of the qualification. Through Recognition of Prior Learning(RPL), learners may gain access on condition that they continue their studies at University of Johannesburg.

Entry Requirements

The minimum requirement is

• Bachelor of Science in Applied Mathematics National Qualifications Framework(NQF) Level 7.

This qualification comprises of compulsory and elective modules at National Qualifications Framework (NQF) Level 8, totalling to 138 Credits.

Compulsory Modules, Level 8, 30 Credits

• Applied mathematics Project, 30 Credits.

Elective Modules, Level 8, 108 Credits (Choose Nine)

• Quantum Field Theory A, 12 Credits.
• Numerical Analysis B, 12, 12 Credits.
• Relativity B, 12 Credits.
• Numerical Analysis A, 12 Credits.
• Relativity A, 12 Credits.
• Applied Mathematics (APM) Differential Equations B, 12 Credits.
• APM Dynamical Systems B, 12 Credits.
• APM differential Equations A, 12 Credits.
• APM Dynamical Systems A, 12 Credits.
• Computer Algebra, 12 Credits.
• APM advanced SC Computation and Programming, 12 Credits.
• APM Lie Groups and Algebras, 12 Credits.
• Quantum Field Theory B, 12 Credits.
• APM Multilinear Algebra, 12 Credits.
• APM Neural Networks and Genetic Algorithms, 12 Credits.

1.Identify, interpret, analyse and address complex problems, using both routine and advanced skills, conceptual and/or evidence-based enquiry and theory-driven arguments.

2.Work effectively with others in a team by being answerable for their own work and the work of others.

3.Identify, evaluate and address their own professional and on-going learning needs.

4.Demonstrate efficient and effective information retrieval and processing skills, using appropriate Information and Communications Technology (ICT).

5.Demonstrate a comprehensive, systematic and critical knowledge and understanding of the principles, scope, theories and epistemologies of Applied Mathematics.

6.Evaluate their own and others academic work and initiatives against informed criteria.

7.Present and communicate ideas and texts, offering professional insights, interpretations and solutions to problems and issues appropriate to Applied Mathematics.

8.Use science and technology in complex and challenging contexts and make autonomous ethical decisions on complex professional issues in accordance with recognised professional and/or ethical standards.

9.Critique current research and advanced scholarship in Biochemistry and make sound theoretical judgements based one evidence.

10.Identify, select and apply a range of research methodologies and methods/techniques to research problem/s in Applied Mathematics.

11.Identify, analyse, synthesise and undertake independent evaluation of quantitative and/or qualitative data, and to engage with and evaluate current research and scholarly or professional literature in Applied Mathematics.

The following Associated Assessment Criteria will be used in an integrated manner across the Exit Level Outcomes

• Analyse, interpret, solve, implement and evaluate mathematical problems in terms of the underlying mathematical theory. He/she must also be able to make logical conclusions that he/she could mathematically motivate.
• Work effectively with other members of his/her class on solving mathematical problems and reflect on their group activities.
• Demonstrate the ability to organise and manage responsibly and effectively his/her learning activities and time.
• Collect, analyse and organise suitable literature on a mathematical subject (suitable for the level of the qualification) and consolidate it with previous mathematical knowledge.
• Show that he/she is able to communicate mathematics effectively and logically, using visual, mathematical and natural language in written and oral form.
• Use the available computer technology, effectively, safely and responsibly.
• Demonstrate the ability to see the possibility of application of mathematical theories (studied in the modules required for the qualification).
• Explore, apply and reflect on a variety of learning strategies on studying the mathematics (of the modules required for the qualification).
• Participate as a responsible citizen in his/ her local and national community by applying the cognitive skills, values and attitudes acquired by doing mathematics on the level of this qualification.
• Show that he/she is sensitive to the role of mathematics and mathematicians in cultural and aesthetic activities.
• Explore the Career opportunities obtained via the qualification within the field of mathematics and related fields.
• Explore the entrepreneurial opportunities obtained via the qualification within the field of mathematics and related fields.

Integrated Assessment

The qualification is coherently aligned in that all teaching, learning and assessment activities are linked to module and qualification outcomes. Assessment methods are varied and includes summative and formative assessment to enhance applied competence from learners and facilitate authentic assessment and learning. Assessment will not only be used to determine whether outcomes were achieved, but also to generate data for grading and provide feedback in order to improve the curriculum. For all the assessment purposes to be achieved, essays, computer-based assessments, theory tests, cases and open problems, practical and interpretative skills evaluation, reporting on practical and applications, presentations, analysis and problem solving assessment in the specific field of Applied Mathematics as assessment methods.