Venn diagrams - Introduction | Set Theory - Introductory Abstract Algebra

1 week ago An introduction to Venn diagrams and their use in illustrating sets and their subsets.
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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 track. You can join the 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.