Description - Introduction | Set Theory - Introductory Abstract Algebra

2 months ago Different ways to clearly define the membership of a set.
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1-2: Definition, Introduction
1-4: Types of sets (1), Introduction
You're currently viewing lesson 1-3 of the Set Theory - Introductory Abstract Algebra course.
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Set Theory - Introductory Abstract Algebra
Set Theory - Introductory Abstract Algebra
This course lays the groundwork for understanding the structures that power modern mathematics. We start with the basics of set theory—notation, logic, functions, and operations—and use it as a stepping stone into the world of abstract algebra. From there, we introduce groups, rings, and fields in a way that highlights both intuition and structure. Clear, rigorous, and designed with first-time learners in mind.

This course lays the groundwork for understanding the structures that power modern mathematics. We start with the basics of set theory—notation, logic, functions, and operations—and use it as a stepping stone into the world of abstract algebra. From there, we introduce groups, rings, and fields in a way that highlights both intuition and structure. Clear, rigorous, and designed with first-time learners in mind.

This course is also part of the following learning tracks. You can join a track to gain comprehensive knowledge across related courses.
[UI, Ibadan] MAT 211/213: Abstract Algebra
[UI, Ibadan] 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.

[OAU, Ife] MTH 205: Introduction to Algebra
[OAU, Ife] MTH 205: Introduction to Algebra
This track offers a clear guide to the core ideas of modern algebra — from the fundamentals of Set Theory, Relations, and Mappings to the study of Groups, their important parts called Subgroups, and the links between them known as Homomorphisms. The material concludes with other key structures like Rings, Fields, and some Elementary Number Theory. Beyond the theory, the courses train you to think logically and solve complex problems. These skills are essential in computer science for areas like cryptography and algorithm design, and they form a basis for higher-level mathematics. MTH 205: Introduction to Algebra is designed for second-year mathematics and computer science students at Obafemi Awolowo University, Nigeria. It is also valuable for other students and professionals who want a solid grasp of abstract mathematics.

This track offers a clear guide to the core ideas of modern algebra — from the fundamentals of Set Theory, Relations, and Mappings to the study of Groups, their important parts called Subgroups, and the links between them known as Homomorphisms. The material concludes with other key structures like Rings, Fields, and some Elementary Number Theory. Beyond the theory, the courses train you to think logically and solve complex problems. These skills are essential in computer science for areas like cryptography and algorithm design, and they form a basis for higher-level mathematics. MTH 205: Introduction to Algebra is designed for second-year mathematics and computer science students at Obafemi Awolowo University, Nigeria. It is also valuable for other students and professionals who want a solid grasp of abstract mathematics.

Other chapters of the Set Theory - Introductory Abstract Algebra course:
1 - Introduction
2 - Number Systems