Number Theory (G5140)
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Number Theory
Module G5140
Module details for 2025/26.
15 credits
FHEQ Level 4
Module Outline
• Arithmetic over Z. Fundamental theorem, Diophantine equations.
• Polynomial arithmetic and parallels with Z.
• Modular arithmetic, Euler’s theorem, Fermat’s theorem, and Chinese remainder theorem.
• Elementary group theory. Abelian groups, generators.
Module learning outcomes
Understand the parallels between arithmetic of Z and arithmetic of polynomials over Z;
Understand the notion of a Diophantine equation, and solve Diophantine equations;
Apply theorems of modular arithmetic to a wide class of problems;
Identify and classify algebraic group structures.
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 10.00% | |
| Coursework components. Weighted as shown below. | ||
| Portfolio | T2 Week 11 | 100.00% |
| Unseen Examination | Semester 2 Assessment | 80.00% |
| Coursework | 10.00% | |
| Coursework components. Weighted as shown below. | ||
| Problem Set | T2 Week 3 | 25.00% |
| Problem Set | T2 Week 5 | 25.00% |
| Problem Set | T2 Week 8 | 25.00% |
| Problem Set | T2 Week 10 | 25.00% |
Timing
Submission deadlines may vary for different types of assignment/groups of students.
Weighting
Coursework components (if listed) total 100% of the overall coursework weighting value.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Spring Semester | Lecture | 2 hours | 11111111111 |
| Spring Semester | Workshop | 2 hours | 01111111111 |
| Spring Semester | Lecture | 2 hours | 11111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.
Dr Gabriel Koch
Convenor, Assess convenor
/profiles/284961
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