Mappings - Introductory Abstract Algebra

This course focuses on mappings—one of the core tools in modern mathematics and abstract algebra. We cover functions, injectivity, surjectivity, bijections, and composition. You'll see how mappings connect sets, preserve structure, and lay the groundwork for understanding homomorphisms in algebraic systems. Straightforward, precise, and built for learners taking their first steps into abstract algebra.

$ 10.00

Payment required for enrolment
Enrolment valid for 12 months
This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
MAT 211/213: Abstract Algebra
MAT 211/213: Abstract Algebra
This learning track brings together the essential building blocks of abstract algebra in one clear, structured path. We begin with the fundamentals—set theory, relations, and mappings—to build the logical foundation for working with algebraic systems. Then we move into binary operations, groups, subgroups, and homomorphisms, helping you develop the tools to recognize structure and symmetry. The track wraps up with rings, fields, and key ideas from elementary number theory that tie everything together. Curated for second-year undergraduates in engineering and physical sciences at the University of Ibadan, but equally valuable for any learner stepping into abstract algebra for the first time. Clear, focused, and paced to guide you with both depth and intuition.

This learning track brings together the essential building blocks of abstract algebra in one clear, structured path. We begin with the fundamentals—set theory, relations, and mappings—to build the logical foundation for working with algebraic systems. Then we move into binary operations, groups, subgroups, and homomorphisms, helping you develop the tools to recognize structure and symmetry. The track wraps up with rings, fields, and key ideas from elementary number theory that tie everything together. Curated for second-year undergraduates in engineering and physical sciences at the University of Ibadan, but equally valuable for any learner stepping into abstract algebra for the first time. Clear, focused, and paced to guide you with both depth and intuition.

Course Chapters

1
Introduction

Definition of a mapping, and its domains, co-domain and range.

Chapter lessons

1.Welcome

Welcome to the course and outline of content.

2.Mapping

Definition and general examples of mappings.

2
Types of Mapping

Definition and examples of different types of mapping - constant, identity, injective, surjective, bijective and inverse maps.

Chapter lessons

1.Constant mapping

Meaning and examples of constant mappings.