Computational Number Theory

Learning Outcomes

On successful completion of this course, student will be able to: Explain basic concepts of number theory; Apply concepts of number theory in cryptography; Demonstrate computation of number theory using SAGE software; Solve number theory problems using SAGE software

Topics

1. Prime Numbers;
2. The Ring of Integers Modulon;
3. Public-Key Cryptography;
4. Quadratic Reciprocity;
5. Continued Fractions;
6. Elliptic Curves