Mathematical Foundations for Computing
By External Provider
About this course
Mathematics provides the formal structures and reasoning tools that underpin computer science. Mathematical Foundations for Computing introduces core topics essential for problem-solving, algorithm design, and theoretical computing. You will explore sets and set theory, number systems and bases, functions, and relations—building a toolkit to model data, describe systems, and reason about computational processes. Each module connects abstract mathematics to practical computing contexts, from binary representation and function mapping to relational models. By the end of the course, you will not only understand these concepts theoretically but also know how to apply them to programming, algorithms, and data structures. This course is part of the Essential Mathematics for Computer Science specialisation, preparing you for advanced topics in logic, algorithms, and computational complexity.
What you will learn
- Develop a strong understanding of sets, subsets, and set operations, applying them to data representation and computational modelling.
- Convert numbers across decimal, binary, and hexadecimal systems, and apply base conversions to programming and computer architecture.
- Analyse and interpret functions and their properties, including mappings and inverses, to understand their role in algorithms and computing.
- Explore relations and their properties, using them to describe structured connections and dependencies in computational systems.