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Abstract Algebra Course

What will I learn?

Open up the power of Abstract Algebra with our well-planned course designed for mathematics professionals. Go deep into subgroup analysis, check out group properties, and become a master of Lagrange's Theorem. Improve your problem-solving skills in group theory, and get a good understanding of the fine details of dihedral, cyclic, and symmetric groups. Discover how it's used in real life in cryptography, physics, and chemistry. With a focus on high-level ideas like commutator subgroups and homomorphisms, this course gives you high-quality, useful knowledge to boost your skills.

Apoia's Unique Features

Online and lifetime access to courses
Certificate aligned with educational standards
PDF summaries for easy printing
Online support available at all times
Select and arrange the chapters you want to study
Set your own course workload
Instant feedback on practical activities
Study at your convenience, no internet required

Develop skills

Strengthen the development of the practical skills listed below

Master subgroup analysis: Get the definitions, properties, and Lagrange's Theorem well.

Solve group theory problems: Prove properties and look at group structures in a good way.

Explore group types: Get clear knowledge about dihedral, cyclic, and symmetric groups.

Apply group theory: Use the ideas in cryptography, physics, and chemistry.

Grasp advanced concepts: Learn about commutator subgroups and group homomorphisms.

Suggested summary

Workload: between 4 and 360 hours

Before starting, you can change the chapters and the workload.

  • Choose which chapter to start with
  • Add or remove chapters
  • Increase or decrease the course workload

Examples of chapters you can add

You will be able to generate more chapters like the examples below

This is a free course, focused on personal and professional development. It is not equivalent to a technical, undergraduate, or postgraduate course, but offers practical and relevant knowledge for your professional journey.