Master of Science in Mathematics

The primary purpose of this qualification is to develop the intellectual, practical and analytical skills of the learner in order to enable the learner to independently read, analyse, formulate, interpret, understand, communicate and apply Mathematics. The qualification prepares students to evaluate existing mathematics regarding quality and applicability to other fields. This qualification is a basis for Ph.D. studies in Mathematics.

A learner accessing this qualification should demonstrate the ability to

• Apply the knowledge, insight and skills acquired by studying the modules on level 7
• Make correct interpretations and appropriate deductions on levels of complexity commensurate with the level of the qualification
• Motivate complex logical conclusions mathematically
• Evaluate complex mathematical problems in terms of the underlying mathematically theory
• Work independently as well as in groups with others in the identification and solving of mathematical problems at levels of complexity commensurate with the level of the qualification
• Work independently, after being given suitable instruction in the mastery of subject contents, the compilation of reports and the writing of tests and examinations
• Work without being driven
• Find and integrate appropriate literature and factual information on a complex mathematical subject into a cohesive whole
• Use appropriate mathematical language and terminology (both in written and oral form) and natural language in the presentation of mathematical findings
• Apply scientific methodology - both theoretically and practically-
• Acquire, analyse, interpret and evaluate published Mathematics
• Take part in scientific interaction and teamwork on appropriate levels
• Master all the practical, technical and professional skills necessary for his/her studies
• Plan and execute his/her own learning programme suitable for studies on the level of the qualification
• Perform the practice of science and technology effectively without endangering the environment or the well being of their associates
• Investigate further training and employment possibilities
• Function in the philosophy of the mathematical discipline and associated disciplines by the generation of new insights and interpretations
• Investigate and evaluate entrepreneurial possibilities in his/her field of competence
• Appreciate academic values (such as self-reliance, teamwork open and clear communication, honesty, accuracy and professionalism)

144 credits on level 7 (an Honours degree) in Mathematics or related discipline.

Acceptance to the Master's course is not automatic and involves application to the Department followed by an assessment of the applicant's record up to the time of assessment. The Department reserves the right to decline an application in the case of an applicant who has not shown the potential to succeed in the envisaged course of study.

Recognition of prior learning

A learner who claims to have achieved entry requirements through experimental learning will be assessed. If the student is found to be competent, the student may gain:

• access,
• advanced placement
• or recognition of degree status will be granted on condition of continuing education.

The learner should be able to

1. Analyse, interpret, solve, implement and evaluate highly complex mathematical problems in terms of the underlying mathematical theory, make logical conclusions that he/she can mathematically motivate.
2. Work effectively with other members of his/her class/study on solving highly complex mathematical problems and reflect on their group activities
3. Organise and manage responsibly and effectively his/her learning activities and time
4. Collect, analyse and organise suitable literature on a mathematical subject (suitable for the level of the qualification) and consolidate it with previous mathematical knowledge.
5. Communicate Mathematics effectively and logically, using visual, mathematical and natural language in written and oral form
6. (When necessary for his/her studies) use the available computer technology, effectively, safely and responsibly
7. See the possibility of application of mathematical theories (studied in the modules required for the qualification) to other fields
8. Explore, apply and reflect on a variety of learning strategies on studying the Mathematics of the modules required for the qualification
9. 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
10. Be sensitive to the role of Mathematics and mathematicians in cultural and aesthetic activities
11. Explore the career opportunities obtained via the qualification within the field of Mathematics and related fields
12. Explore the entrepreneurial opportunities obtained via the qualification within the field of Mathematics and related fields.

The learner can

1. Analyse, interpret, solve, implement and evaluate highly complex mathematical problems in terms of the underlying mathematical theory, make logical conclusions that he/she can mathematically motivate.
2. Work effectively with other members of his/her class/study on solving highly complex mathematical problems and reflect on their group activities
3. Demonstrate the ability to organise and manage responsibly and effectively his/her learning activities and time
4. Collect, analyse and organise suitable literature on a mathematical subject (suitable for the level of the qualification) and consolidate it with previous mathematical knowledge.
5. Show that he/she is able to communicate Mathematics effectively and logically, using visual, mathematical and natural language in written and oral form
6. (When necessary for his/her studies) use the available computer technology, effectively, safely and responsibly
7. Demonstrate the ability to see the possibility of application of mathematical theories (studied in the modules required for the qualification) to other fields
8. Explore, apply and reflect on a variety of learning strategies on studying the Mathematics of the modules required for the qualification
9. 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
10. Be sensitive to the role of Mathematics and mathematicians in cultural and aesthetic activities
11. Explore the career opportunities obtained via the qualification within the field of Mathematics and related fields
12. Explore the entrepreneurial opportunities obtained via the qualification within the field of Mathematics and related fields.

Formative assessment practices that will be implemented

The coursework learners are continuously assessed via informal discussions and periodic tests. The dissertation learners will be continuously assessed via informal discussions and periodic participation in seminars on the relevant research topic.

Summative assessment practices that will be implemented

Integrated assessment, focusing on the achievement of the exit-level outcomes, will be done by means of

• One exam paper per subject-module per year and completion of a short dissertation (that has the weight of one paper) evaluated by one external examiner that must also be presented orally as a seminar to all members of the Department or
• Completion of a dissertation assessed by at least one external assessor that must also be presented orally as a seminar to all members of the Department.