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.
Mathematical Foundations for Computing
您将学到什么
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.
您将获得的技能
- Database Theory
- Mathematical Modeling
- Advanced Mathematics
- Computational Thinking
- Algorithms
- Business Mathematics
- Programming Principles
- Theoretical Computer Science
- Logical Reasoning
- General Mathematics
- Problem Solving
- Applied Mathematics
- Computer Science
- Computational Logic
- Data Structures
- 技能部分已折叠。显示 9 项技能，共 15 项。
要了解的详细信息
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本课程是 Essential Mathematics for Computer Science 专项课程 专项课程的一部分
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该课程共有4个模块
This week you will be learning about two key concepts: the definition of a set, set notation, and membership tables.
涵盖的内容
9个视频6篇阅读材料9个作业
In this module, we will cover three key concepts: an introduction to number bases, the conversion of non-integer numbers, and operations with binary numbers. You will gain an understanding of how number bases work and learn how to perform arithmetic in different bases.
涵盖的内容
8个视频4个作业
This week you will learn about four key concepts: the definition of a function; properties of one-to-one and onto functions; proving correctness if a function is one-to-one or onto; and plotting functions.
涵盖的内容
7个视频3篇阅读材料8个作业1个非评分实验室
In this week you will learn about three key concepts: the definition of a relation and how it is different from a function; a relation digraph; and reflexive, symmetric, anti-symmetric and transitive relations.
涵盖的内容
7个视频2篇阅读材料7个作业
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