Learning outcome
1.1

1.1 Demonstrate a coherent understanding of the mathematical sciences.
2.1

2.1 Exhibit depth and breadth of knowledge in the mathematical sciences.
3.1

3.1 Investigating and solving problems using mathematical and statistical methods.
4.1

4.1 Communicate mathematical and statistical information, arguments, or results for a range of purposes using a variety of means.
5.1

5.1 Demonstrate personal, professional and social responsibility.
A1

<p>construct mathematical proofs using a variety of proof techniques</p>
A2

<p>express in mathematical terms and solve a range of counting problems</p>
A3

<p>research and impart mathematical knowledge to others</p>
K1

<p>use elementary ideas in number theory;</p>
K2

<p>explain and be able to carry out proofs by mathematical induction</p>
K3

<p>describe the proof of the four colour theorem</p>
K4

<p>apply basic concepts of graph theory</p>
K5

<p>explain arithmetic operations from a theoretical point of view</p>
S1

<p>express concepts, relationships and structures in mathematical form, and draw conclusions about the situations studied by abstract argument</p>
S2

<p>use elementary ideas about sets and their properties in problem solving</p>
S3

<p>investigate topological ideas</p>