Unit name | Foundations & Proof |
---|---|
Unit code | MATH10004 |
Credit points | 10 |
Level of study | C/4 |
Teaching block(s) |
Teaching Block 1 (weeks 1 - 12) |
Unit director | Dr. Walling |
Open unit status | Not open |
Pre-requisites |
A in A Level Mathematics |
Co-requisites |
None |
School/department | School of Mathematics |
Faculty | Faculty of Science |
The unit provides an introduction to logical propositions, basic set theory and cardinality, functions and relations, and proof techniques. These notions are exemplified with some topics from elementary number theory, such as the Fundamental Theorem of Arithmetic, Euclid’s algorithm, modular arithmetic.
The unit aims to introduce students to fundamental concepts in set theory, techniques of proof, exemplified and applied to some basic properties of functions and topics in elementary number theory.
At the end of the unit, the students should:
Lectures, supported by lecture notes with problem sets and model solutions, and small group tutorials.
Formative assessment will be provided by problem sheets with questions that will be set by the instructor and marked by the students’ tutors.
The final assessment mark will be based on a 1 ½-hour written examination.