SAQA 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.
SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED QUALIFICATION: 

Doctor of Philosophy in Applied Mathematics 
SAQA QUAL ID QUALIFICATION TITLE
111047  Doctor of Philosophy in Applied Mathematics 
ORIGINATOR
University of South Africa 
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY NQF SUB-FRAMEWORK
-   HEQSF - Higher Education Qualifications Sub-framework 
QUALIFICATION TYPE FIELD SUBFIELD
Doctoral Degree  Field 10 - Physical, Mathematical, Computer and Life Sciences  Mathematical Sciences 
ABET BAND MINIMUM CREDITS PRE-2009 NQF LEVEL NQF LEVEL QUAL CLASS
Undefined  360  Not Applicable  NQF Level 10  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 does not replace any other qualification and is not replaced by any other qualification. 

PURPOSE AND RATIONALE OF THE QUALIFICATION 
The primary purpose of the qualification Doctor of Philosophy in Applied Mathematics is to facilitate learners with the necessary skills that will enable them in using their highly specialised knowledge, specific skills and applied competencies in addressing complex and challenging problems within the field of Applied Mathematics. Furthermore, the Doctor of Philosophy in Applied Mathematics will enable learners to either develop or propose new solutions through models or theoretical amendments to Applied Mathematics related problems for continued personal intellectual growth, gainful economic activity and valuable contributions to society. A second purpose of the qualification is to provide South Africa (and other countries) with specialists in the discipline in order to ensure that the leadership base of innovative and knowledge-based economic and scholarly activity is widened. A third purpose of the qualification is to provide South Africa (and other countries) with intellectual leaders.

Rationale:
The University of South Africa (Unisa) has a strategic plan to promote research and to "create a vibrant, pure and applied research culture and conduct relevant and responsive research that impacts positively on development in Africa, globally and in the service of humanity." To this end, the College of Science, Engineering and Technology has a pivotal role to play in imparting knowledge and skills for the knowledge economy, generating new knowledge, capacity building and driving innovation in the fields of science, engineering and computing. The production of Postgraduate students is crucial in achieving this task. The shortage of highly skilled people in most professions, particularly in science and applied mathematics, is well known. Skills at National Qualifications Framework (NQF) Level 10 are especially of concern, as elaborated in a publication by the Council of Higher Education (Postgraduate Studies in South Africa, 2009). Unisa therefore endeavours to contribute by providing professionals with competent skills and capabilities to ensure sustainable development and enhancement of the engineering field.

The College of Science, Engineering and Technology plans to address the current shortage of the necessary skills, particularly specialised skills and research skills in the country, with this Doctor of Philosophy in Applied Mathematics. Graduates should be able to undertake rigorous research and to communicate the results by means of a thesis that meets internationally acceptable standards of scholarliness and quality. 

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
Recognition of Prior Learning (RPL):
Admission may be granted through RPL to learners who do not meet the minimum entry requirements. All admissions through RPL must be in accordance with the principles laid down in the University of South Africa (Unisa) RPL Policy. This qualification can be achieved wholly or in part through Recognition of Prior Learning (RPL). The Unisa RPL office can supply full details of processes relating to the assessment and accreditation of learning from prior experiences. Evidence can be presented in a variety of forms, including international or previous local qualifications, reports, testimonials mentioning functions performed, work records, portfolios, videos of practice and performance records. All such evidence should be judged according to the general principle of assessment described in the notes to assessors.

Entry Requirements:
  • A Master of Science in Applied Mathematics, Level 9 with an average of 60%.
  • An equivalent qualification at Level 9 with an average of 60%.
  • An appropriate Research Master's Degree at Level 9 with an average of 60%.

    Learners need to demonstrate adequate mastery of academic English (Test of English as a Foreign Language (TOEFL) minimum score of 88 for the Internet-based test or a minimum score of 570 for the paper-based test or completion of prior Degrees at a university where English is the prime language of instruction). Adequate exposure to appropriate research methods and methodologies in previous qualifications is required. Foreign learners need to submit South African Qualifications Authority (SAQA) evaluation of their qualifications (South African National Qualifications Framework (NQF) Level 9 qualification equivalent is required). Applicants with Degree structures that are different from South African Degrees or with applicable experience that may be relevant for admission will be required to apply for Recognition of Prior Learning (RPL). 
    		•

    RECOGNISE PREVIOUS LEARNING? 
    Y 

    QUALIFICATION RULES 
    The Doctor of Philosophy in Applied Mathematics consists of two compulsory modules at National Qualifications Framework (NQF) Level 10 totalling 360 Credits.

    Modules:
  • Research Proposal, 0 Credits.
  • Research Project and Thesis, 360 Credits. 
    		•

    EXIT LEVEL OUTCOMES 
    Developmental Outcomes:
    The Doctor of Philosophy in Applied Mathematics Graduate can:
    1. Produce a variety of strategies to learn more effectively.
    2. Play a leading role as a responsible citizen in the life of local, national and global communities.
    3. Promote cultural and aesthetic sensitivity across a range of social contexts.
    4. Use the educational and career opportunities acquired in the accomplishment of this qualification.
    5. Develop entrepreneurial opportunities by drawing on the various knowledge, skills and attitudes acquired in the accomplishment of this qualification.

    Specific outcome:
    The Doctor of Philosophy in Applied Mathematics Graduate can:
    1. Make an original and significant contribution to knowledge in their area of research.
    2. Engage in highly advanced critical thinking and creative problem solving within a focussed research context.
    3. Apply principles of sound research practice in collecting, organising and critically evaluating information.
    4. Communicate effectively the contents of the discipline and the results of the research.
    Display technical accuracy in an area of research or within an interdisciplinary context. 

    ASSOCIATED ASSESSMENT CRITERIA 
    Associated Assessment Criteria for Exit Level Outcomes.

    Associated Assessment Criteria for Developmental Outcomes:
    1. Show evidence of highly advanced study and research skills, selection, analysis and evaluation.
    2. Deal constructively with diversity and display appropriate conflict-resolution skills:
  • Use the knowledge, skills and attributes required in studying towards the doctorate in the service of the community at large (local and global).
  • Apply what they know and study in culturally diverse contexts.
  • Apply what they know and study at different levels, from personal to academic contexts.
  • Contribute significantly to the community, country in which they live.
  • Interact with their peers locally, nationally and internationally.

    3. Value cultural diversity:
  • Manage diversity and the opinions of others.
  • Use various skills to draw out the cultural accomplishments and contents of others (e.g., listening skills, empathy, sympathy open-mindedness, etc.).

    4.Identify the Doctorate skills which are highly valued in the workplace within the relevant discipline:
  • Use the skills required for efficiency in most jobs: imaginative intelligence, emotional maturity, effective communication skills, thoughtful accuracy and interpersonal sensitivity.
  • Deal effectively with unknown problems and tasks set them on the job, in the real world, by drawing upon the skills from the Doctor of Philosophy (critical thinking, problem-solving, conflict resolution, etc).
  • Demonstrate a work ethic that shows responsibility and accountability towards the employer and the client or community.

    5. Create job opportunities in whatever situation they find themselves:
  • Have a realistic view of their own worth and value to contribute to their local community and global society.
  • Communicate that value to others in the real world.
  • Demonstrate a healthy self-esteem and confidence in their knowledge, skills and attitudes as required to complete the Doctor of Philosophy qualification.
  • Deal with various complex situations with flexibility and adaptability.

    Associated Assessment Criteria for Specific Outcomes:
    1. Expand, redefine and reconfigure existing knowledge within the broader context of the field or inter/multi-disciplinary fields:
  • Show that his/her thesis/research project can be recognised by experts in the field.
  • Produce a thesis which is publishable entirely or in part.

    2. Achieve a high Degree of abstraction when analysing and synthesising information within an area of research:
  • Attain a high level of epistemological sophistication when reflecting on information within an area of research.
  • Make sound evaluations on the basis of independently generated criteria.
  • Autonomously analyse, synthesise and evaluate information.
  • Design new creative systems based on sound principles.

    3. Document the problem statement and aims and objectives, the research design or plan, modus operandi, results and conclusions in an academically respectable and acceptable manner:
  • Analyse data.
  • Apply theory to practice.
  • Show critical acumen in evaluating sources, specifically primary material.
  • Develop a logical argument.
  • Display expert, innovative and highly specialised knowledge in the area of research or within an interdisciplinary context.

    4. Present material clearly and systematically:
  • Argue logically in order to support his/her findings.
  • Use acceptable style and presentation.
  • Provide an advanced critical overview of the material.

    5. Document research with complete accuracy:
  • Use a systematic and consistent approach to technical issues such as the layout of the dissertation or other required project.

    Integrated Assessment:
  • All assessments are conducted in line with the principles of assessment as defined in the University of South Africa (UNISA) Assessment Policy.
  • Submitted proposals are assessed and approved by the supervisor and Departmental Research and Higher Degrees Committee to be ratified by the College Research and Higher Degrees Committee.
  • After consultation with the co-supervisor (where applicable), the supervisor gives the learner permission to submit his/her thesis.
  • Assessment will include input from three external examiners of which at least one should be from a county other than South Africa. External examiners must be recognised experts in their fields and must not be attached to or affiliated with UNISA. All examiners are recommended by the Department Chairperson and/or Departmental Research and Higher Degrees Committee and their names are forwarded for appointment by the College Management Committee.
  • The completed report of the panel of examiners is regarded as the examiners' final recommendation. The result of the Doctoral thesis is based on a judicious appraisal of the examiners' reports.
  • After the result of the learner's thesis has been approved the non-examining chairperson makes the examiners' report available to the Chairperson of the Department, the supervisor, the co-supervisor, the candidate and the other examiners if requested.

    In addition, learners must demonstrate the ability to engage in the field of Applied Mathematics in an integrative way, dealing with mathematical challenges strategically and effectively. It is recommended for this ability to be demonstrated by the publication of at least one article based on the research, in a scientific peer reviewed journal. 
    		•

    INTERNATIONAL COMPARABILITY 
    University of South Africa (Unisa) forms part of an internationally recognised accreditation system whereby university qualifications are evaluated against international comparators and accredited accordingly; for example, Unisa's qualifications are accredited in the International Handbook of Universities and in the Commonwealth Universities. 

    ARTICULATION OPTIONS 
    Upon completion of the Doctor of Philosophy in Applied Mathematics, students may proceed with Postdoctoral studies and research. 

    MODERATION OPTIONS 
    N/A 

    CRITERIA FOR THE REGISTRATION OF ASSESSORS 
    N/A 

    NOTES 
    N/A 

    LEARNING PROGRAMMES RECORDED AGAINST THIS 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.
     
    NONE 


    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.