Bachelor of Science Honours in Mathematics
Physical, Mathematical, Computer and Life Sciences - Mathematical Sciences
Purpose and Rationale
Purpose:
The primary purpose of the honours qualification in Mathematics is to address the shortage of well-trained scientists in South Africa's natural sciences. By providing graduates with advanced research skills and tools in Mathematics, the program aims to nurture independent researchers who can contribute to innovative economic and scholarly endeavors locally. Additionally, the qualification seeks to equip students with the necessary knowledge, skills, and professional attitude in Mathematics to facilitate personal growth, economic participation, and societal contributions.
Rationale:
The honours qualification in Mathematics aims to enhance students' scientific knowledge with a focus on Abstract Algebra, Measure and Integration Theory, Functional Analysis, and Complex Analysis. By imparting expertise in these areas, the program enables students to engage in innovative problem-solving, intellectual development, economic activities, and community contributions. The qualification also emphasizes the understanding of research methodologies and skills, empowering students to tackle complex problems effectively.
Moreover, the program equips students to pursue careers as professional academic scientists in various disciplines such as (industrial) applied mathematics and teaching. Graduates can explore opportunities in institutions like CSIR, MRC, MINTEK, ESKOM, and others. By fostering critical information review and data synthesis skills, the qualification prepares students to develop creative solutions to diverse problems.
As most South African universities require a Bachelor of Science (BSc) Honours level qualification for further postgraduate studies, another aim of this program is to stimulate and prepare students for advanced academic research. By providing the necessary knowledge, skills, and insights, the qualification aims to support students in their journey towards becoming high-level researchers and contributing significantly to their respective fields.
Outcomes
- Demonstrate knowledge of and engagement in Mathematics and understanding of the theories, research methodologies, methods and techniques relevant to this field of study as well as be able to apply this knowledge in the context of Modern Algebra, Complex Function Theory, Measure and Integration Theory, Topology and Functional Analysis.
- Interrogate multiple sources of knowledge in Modern Algebra, Complex Function Theory, Measure and Integration Theory, Topology and Functional Analysis (area of specialisation) and as an individual and/or in teams evaluate knowledge and processes of knowledge production.
- Use a range of specialised skills to identify, analyse and address complex or abstract problems drawing systematically on the body of knowledge and methods appropriate to the field of Mathematics.
- Critically review information gathering, synthesis of data, evaluation and management processes in specialised contexts in order to develop creative responses to problems and issues.
- Produce and communicate information by effectively presenting and communicating academic and professional or occupational ideas and texts to a range of audiences, offering creative insights, meaningful interpretations and solutions to problems and issues appropriate to the field of Mathematics.
- Demonstrate an understanding of the role of natural sciences in society, appreciate the fundamentals of lifelong learning and understand both the professional and ethical basis of scientific enquiry.
Assessment Criteria
Associated Assessment Criteria:
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Knowledge and Understanding:
- Demonstrate systematic and integrated knowledge and understanding of fundamental terms, concepts, facts, principles, rules, and theories.
- Analyse, evaluate, and apply the knowledge effectively.
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Scientific Inquiry:
- Apply appropriate discipline-related methods of scientific inquiry.
- Independently validate, evaluate, and manage sources of information.
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Problem-Solving:
- Demonstrate critical reflection and understanding of methods to resolve complex discipline-related problems.
- Introduce change within related practice through effective problem-solving techniques.
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Professional and Ethical Behavior:
- Demonstrate professional and ethical behavior within academic and discipline-related environments.
- Show sensitivity towards societal and cultural considerations.
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Communication:
- Effectively communicate scientific understanding, opinions, and ideas through written or oral arguments.
- Utilize appropriate discipline-related and academic discourse, as well as technology for communication.
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Teamwork and Leadership:
- Function effectively as a member or leader of a team in scientific projects or investigations.
- Demonstrate self-directed management of learning activities and take responsibility for own learning progress.
Integrated Assessment:
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Continuous Assessment:
- Formative assessments (written and practical assignments, tests) are integrated into the curriculum design.
- These assessments help in evolving theory into effective practice.
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Summative Assessment:
- Includes written and practical examinations.
- Assess learners' application of skills to ensure theory is translated into practice effectively.
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Project Assessment:
- Some outcomes are assessed through projects, evaluating discipline-specific knowledge, communication skills, computer literacy, critical analysis, and problem-solving abilities.
- Report-writing and oral presentations are crucial components of this assessment.
Qualification Details
- Type
- Honours Degree
- NQF Level
- 08
- Min. Credits
- 120
- SAQA Source
- More Information
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This page includes information from the South African Qualifications Authority (SAQA) . Builtneat Pty Ltd trading as Study Start, has modified all or some of this information. SAQA has not approved, endorsed, or tested these modifications.