School of Computer Science

Module 06-35324 (2020)

Mathematical and Logical Foundations of Computer Science

Level 1/C

Kashif Rajpoot Achim Jung Vincent Rahli Semester 1 20 credits
Co-ordinator: Vincent Rahli
Reviewer: Achim Jung

The Module Description is a strict subset of this Syllabus Page.

Outline

Mathematical and logical reasoning underpins almost all of Computer Science, from linear algebra in graphics and machine learning, to algebra in cryptography and logic in verification. This module introduces essential topics in mathematics and logic including linear algebra; abstract algebra; set theory (a fundamental language of mathematics); and propositional and predicate logic. The key ideas will be illustrated with applications across a range of topics in computer science.


Learning Outcomes

On successful completion of this module, the student should be able to:

  • Solve mathematical problems in algebra and set theory
  • Understand and apply algorithms for key problems in logic such as satisfiability.
  • Write formal proofs for propositional and predicate logic
  • Apply mathematical and logical techniques to solve a problem within a computer science setting

Assessment

  • Main Assessments: Continuous assessment (100%)
  • Supplementary Assessments: Continuous assessment (100%) over the Summer period

Programmes containing this module