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SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED QUALIFICATION: 

Master of Science in Mathematics 
SAQA QUAL ID QUALIFICATION TITLE
101790  Master of Science in Mathematics 
ORIGINATOR
University of Limpopo 
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY NQF SUB-FRAMEWORK
CHE - Council on Higher Education  HEQSF - Higher Education Qualifications Sub-framework 
QUALIFICATION TYPE FIELD SUBFIELD
Master's Degree  Field 10 - Physical, Mathematical, Computer and Life Sciences  Mathematical Sciences 
ABET BAND MINIMUM CREDITS PRE-2009 NQF LEVEL NQF LEVEL QUAL CLASS
Undefined  180  Not Applicable  NQF Level 09  Regular-Provider-ELOAC 
REGISTRATION STATUS SAQA DECISION NUMBER REGISTRATION START DATE REGISTRATION END DATE
Reregistered  EXCO 0821/24  2021-07-01  2027-06-30 
LAST DATE FOR ENROLMENT LAST DATE FOR ACHIEVEMENT
2028-06-30   2031-06-30  

In all of the tables in this document, both the pre-2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre-2009 levels unless specifically stated otherwise.  

This qualification replaces: 
Qual ID Qualification Title Pre-2009 NQF Level NQF Level Min Credits Replacement Status
81912  Master of Science: Mathematics  Level 8 and above  NQF Level 09  120  Complete 

PURPOSE AND RATIONALE OF THE QUALIFICATION 
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. 

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
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. 
    		•

    RECOGNISE PREVIOUS LEARNING? 
    Y 

    QUALIFICATION RULES 
    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. 
    		•

    EXIT LEVEL OUTCOMES 
    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 
    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. 
    		•

    INTERNATIONAL COMPARABILITY 
    The qualification has been compared with the offerings at the same level at both local and international institutions. In this qualification, learners will be afforded an opportunity to study four main areas in Mathematics which are Algebra, Topology, Category Theory and Functional Analysis in which they will further specialise for their Doctor of Philosophy (PhD) qualification.

    The qualification is designed in such a way that learners from other universities who have completed Bachelor of Science Honours qualification can enroll into our MSc (Mathematics) qualification as long as they meet the admission requirements.

    The qualification has been designed as a full-time taught MSc (Mathematics) programme with a mini-dissertation that is able to be completed within one year. The qualification has also been compared with the offerings at the same level at both national and international institutions.

    The University of Copenhagen offers a MSc (Mathematics) qualification that consists of course work and research. The taught component is comprised of a number of electives which include Algebraic Topology, Homological Algebra, Categories and Topology, Algebraic Topology, advanced vector spaces, and others, as well as a research dissertation. The qualifications align well with each other, not only in curriculum design, but also in purpose with the University of Copenhagen (Denmark) programme being a research-based programme with the objective to provide students with mathematical knowledge of and insight into the main fields and methodologies of mathematics required to work independently within the field.

    Cambridge University (UK) has a one year Masters in Mathematics offered after students have completed three sequential parts in an undergraduate programme. Graduates of essentially the four year programme receive a Bachelor and a Master's Degree, although International students may take the one year programme, entering with relevant Bachelor (Honours) programmes, and receive a Masters in Advanced Studies. The qualification is comprised of many modules on topics in mathematics, applied mathematics and statistics. Modules similar to this qualification include algebra, category theory and analysis. The University of Cambridge course differs in that a research essay may be taken as an elective, and does not form part of the compulsory offering of the course. The University of Cambridge course prepares students for mathematical research, and in applications for those taking posts in industry, research establishments or it teaching. Chennai Mathematical Institute (India) has an MSc in Mathematics qualification which includes similar modules in algebra, analysis and topology, as well as a research component. The qualification provides students with a foundation in pursuing further research whilst acquiring advanced skills that will enhance their effectiveness in professional careers. Articulation into and from the Chennai Mathematical Institute programme aligns with that of the proposed MSc (Mathematics), although the course typically spans two years. 

    ARTICULATION OPTIONS 
    This qualification offers vertical systemic articulation possibilities with qualifications offered at other institutions provided the learner meets the minimum admission requirements.

    Horizontal Articulation:
    A relevant Master Degrees, level 9.

    Vertical Articulation:
  • Doctor of Philosophy (PhD) in an approved field. 
    		•

    MODERATION OPTIONS 
    N/A 

    CRITERIA FOR THE REGISTRATION OF ASSESSORS 
    N/A 

    NOTES 
    N/A 

    LEARNING PROGRAMMES RECORDED AGAINST THIS QUALIFICATION: 
    When qualifications are replaced, some (but not all) of their learning programmes are moved to the replacement qualifications. If a learning programme appears to be missing from here, please check the replaced qualification.
     
    NONE 


    PROVIDERS CURRENTLY ACCREDITED TO OFFER THIS QUALIFICATION: 
    This information shows the current accreditations (i.e. those not past their accreditation end dates), and is the most complete record available to SAQA as of today. Some Primary or Delegated Quality Assurance Functionaries have a lag in their recording systems for provider accreditation, in turn leading to a lag in notifying SAQA of all the providers that they have accredited to offer qualifications and unit standards, as well as any extensions to accreditation end dates. The relevant Primary or Delegated Quality Assurance Functionary should be notified if a record appears to be missing from here.
     
    1. University of Limpopo 


    All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source.