Abstract Algebra (WI19)

Jump to Today

Course Info:

  • Lectures: Monday, Wednesday, Friday, block 10 (10:10 a.m. - 11:15 a.m.)
  • x-period: Thursday, block 10X (12:15 - 1:05 p.m.)
  • Dates: 3 January 2019 - 6 March 2019
  • Room: 004 Kemeny Hall
  • Prerequisites: Math 71, or Math 31 and permission. If you are unsure about your preparation, please talk to the instructor!
  • Required Text: David Dummit and Richard Foote, Abstract Algebra, Third edition, 2004. [Roughly chapters 13-14.]
  • Recommended Texts: 
  • Grading: Grade will be based on weekly homework, a takehome midterm exam, and a final exam (see Grading).

 

Course Catalogue Description:

This course provides a foundation in core areas in the theory of rings and fields. Specifically, it provides an introduction to commutative ring theory with a particular emphasis on polynomial rings and their applications to unique factorization and to finite and algebraic extensions of fields. The study of fields continues with an introduction to Galois Theory, including the fundamental theorem of Galois Theory and numerous applications.

 

Learning Outcomes:

By the end of this course, you should be able to:

  1. Understand of the basic structures of Galois theory: define terms, explain their significance, and apply them in context;
  2. Solve mathematical problems: utilize abstraction and think creatively.

 

Additional Pages:

  1. Academic Honor Principle
  2. Expectations
  3. Grading
  4. Homework
  5. Student Accessibility Needs
  6. Mental Health
  7. Religious Observances
  8. Additional Support for your Learning
  9. [pdf version of Syllabus]

 

 

Course Summary:

Date Details Due