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Last updated:

December 26, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

This undergraduate course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.

Course Curriculum

  • Groups Unlimited
  • Subgroups Unlimited
  • Cosets Unlimited
  • Cyclic Groups Unlimited
  • Permutation Groups Unlimited
  • Conjugation in Sn Unlimited
  • Isomorphisms Unlimited
  • Homomorphisms and Kernels Unlimited
  • Quotient Groups Unlimited
  • The Isomorphism Theorems Unlimited
  • The Alternating Groups Unlimited
  • Presentations and Groups of Small Order Unlimited
  • Sylow Theorems and Applications Unlimited
  • Rings Unlimited
  • Basic Properties of Rings Unlimited
  • Ring Homomorphisms and Ideals Unlimited
  • Field of Fractions Unlimited
  • Prime amd Maximal Ideals Unlimited
  • Special Domains Unlimited
  • Euclidean Domains Unlimited
  • Polynomial Rings Unlimited
  • A Quick Primality Test Unlimited
  • Group Actions and Automorphisms Unlimited

About the instructor

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Instructor Rating

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Reviews

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Courses

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Students

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Massachusetts Institute of Technology