The Directorate is an administrative institution in the field of education and its main objective is to improve quality and support progress in education in accordance with law and government policies, best evidence and international standards.
Basic knowledge, theoretical and practical, covering the breadth of what is fundamental to modern mathematics, but including some degree of specialisation.
Knowledge, ability and skills
On completion of his/her studies the student should be able to demonstrate knowledge, ability and skills as follows:
1 Knowledge and understanding
1.1 The student knows those parts of analysis, algebra, geometry and probability theory that form the basis of modern mathematics.
1.2 The student knows selected parts of his/her minor subject (where appropriate) that form a connected whole and can serve as a basis for further studies in the subject.
1.3 The student has acquired knowledge and understanding of the use of mathematics for the study and solution of applied problems(1) and for modelling in scientific applications.
1.4 The student has acquired basic knowledge of computer programming and the use of computers.
1.5 The student knows selected topics in mathematics that go beyond those listed in 1.1 or lie outside of them.
1.6 The student understands the concept of mathematical proof and the distinction between correct and incorrect mathematical arguments.
1.7 The student has acquired mathematical knowledge that can serve as a basis for further studies in mathematics and related subjects.
2 Practical ability and skills
2.1 The student can use mathematics in a logically justified fashion to solve theoretical and practical mathematical problems.(*)
2.2 The student can use mathematics to solve applied problems (*) or to construct mathematical models for scientific applications.
2.3 The student can use mathematics or techniques of his/her minor subject to solve theoretical or practical problems in the minor subject (where appropriate).
2.4 The student is skilled in the use of computers and computer programming.
3 Theoretical ability and skills
3.1 The student is mathematically literate.
3.2 The student is skilled in the use of mathematical arguments and proofs.
3.3 The student can select the appropriate theoretical tools to study and solve a given mathematical problem or problem in his/her minor subject (where appropriate).
3.4 The student is literate in his/her minor subject (where appropriate).
4 Communication skills and information literacy
4.1 The student can explain theoretical aspects of given problems in mathematics and his/her minor subject (where appropriate).
4.2 The student can use information technology to communicate and disseminate mathematics.
4.3 The student is qualified for employment in a company whose activities require knowledge of mathematics.
(*) Definition of terms. A mathematical problem can be theoretical (e.g. to prove that a differential equation has a solution) or practical (e.g. to calculate the solution of a differential equation). Applied mathematics is a body of mathematical knowledge that has numerous applications to scientific problems (in physics, chemistry, biology, economics etc.) An applied problem is an example of the use of mathematics to solve a problem in science or another subject.