MTH3137 Number theory and cryptography (Advanced)

When you finish this unit, you should be able to:

1. 1

   Apply the classification of numbers and analyse their relationships, such as divisibility and primality;

2. 2

   Illustrate the power of pure mathematics and appreciate its beauty;

3. 3

   Demonstrate a deep understanding of the fundamental concepts of number theory;

4. 4

   Develop proofs involving number theoretic insights and techniques;

5. 5

   Demonstrate advanced problem solving and theorem proving skills;

6. 6

   Explain how thousands of years of pure mathematical developments have enabled secure electronic communication and commerce;

7. 7

   Analyse fundamental number theoretic algorithms for a range of tasks including exchanging information securely and testing whether numbers are prime.