# Learning outcomes

## 082 - TSM - Mathematics

On successful completion of this programme, students should be able to:

### Two Subject Honor Moderatorship in Mathematics (Pattern A, Mathematics as one subject)

Students who have successfully completed the Moderatorship will be able to:

- Demonstrate a competence in formulating, analysing, and solving problems in several core areas of mathematics at a detailed level, including analysis, linear algebra, abstract algebra, and at least one of the following: statistics, probability or applications of mathematics
- Demonstrate an advanced and fundamental understanding of at least one specialist mathematical topic, including the ability to solve problems related to that topic using appropriate tools and techniques
- Communicate clearly in writing and orally knowledge, ideas and conclusions
about mathematics, including formulating complex mathematical
arguments, using abstract mathematical thinking, synthesising intuition about mathematical ideas and their applications

- Advance their own knowledge and understanding of mathematics and its applications with some degree of autonomy.

### Two Subject Honor Moderatorship in Mathematics (Pattern B, Mathematics major subject)

Students who have successfully completed the Moderatorship will be able to:

- Demonstrate a competence in formulating, analysing, and solving problems in several core areas of mathematics at a detailed level, including analysis, linear algebra, abstract algbera, and at least one of the following: statistics, probability or applications of mathematic
- Demonstrate an advanced knowledge and fundamental understanding of some specialist mathematical topics, including the ability to solve problems related to those topics using appropriate tools and techniques
- Communicate clearly in writing and orally knowledge, ideas and conclusions about mathematics, including formulating complex mathematical arguments, using abstract mathematical thinking, synthesising intuition about mathematical ideas and their applications
- Demonstrate that they can advance their own knowledge and understanding of mathematics and its applications with some degree of autonomy.

### Two Subject Honor Moderatorship in Mathematics (Pattern B, Mathematics as minor subject)

Students who have successfully completed the Moderatorship will be able to:

- Demonstrate a competence in formulating, analysing, and solving problems in several core areas of mathematics at a detailed level, including analysis, linear algebra, abstract algebra, and at least one of the following: statistics, probability or applications of mathematics
- Demonstrate an advanced knowledge and fundamental understanding of one specialist mathematical topic, including the ability to solve problems related to that topic using appropriate tools and techniques
- Communicate clearly in writing and orally knowledge, ideas and conclusions about mathematics, including formulating complex mathematical arguments, using abstract mathematical thinking, synthesising intuition about mathematical ideas and their applications.