Meets:    MWF 9:00-9:50am in CR 141.
Instructor:    Eric Moorhouse,   Ross 6³=216.

 HW3 and HW4 are now available below.

Handouts/Links

•   Students frequently ask me ...
•   Students and Teachers Working Together (UW policy on the rights and responsibilities of students and teachers)
•   UW Policy on Academic Honesty
•   Syllabus / Policies
•   Recordings from Lectures—pdf slides, video recordings, and computer sessions (if any)
•   Instructional Videos
•   Review: some basics on learning to read and write proofs
•   Review of mathematical induction
•   Review: some basics on numbers and polynomials
•   Review of integers
•   Review of linear algebra
•   Review of cardinality of sets. If this is mysterious, you may want to start with a discussion of infinity in which we explain the practical necessity of distinguishing between countable and uncountable sets.
•   Complex numbers
  • Handout (pdf) on complex numbers
  • Instructional video on complex numbers (15 minutes)
•   Introduction to Fields
•   HW1  due 5pm Fri Sept 27, 2024.  Solutions.  Average: 75/80
•   HW2  due 5pm Mon Oct 21, 2024.  Solutions.  Average: 89/100
•   Galois Theory.  On first reading, you should ignore all mention of separability.  The characteristic of a field was defined in our earlier handout Introduction to Fields (above).  In characteristic zero (but also over finite fields), finite extensions are separable.
•   In preparation for the Test on Mon Nov 4
  •   Practice Problems 1.  (Do not read the solutions until after you have worked on the practice problems for yourself.)
  •   Sample Test.  I have corrected #5(i) (note that Q[x] is a ring, not a field; so as originally stated, the problem did not make sense).
  •   Do not read the solutions to the Sample Test until after you have worked on the Sample Test for yourself.  These solutions include a correction on #3.
•   This handout includes a fuller discussion of finite extensions of fields (i.e. extensions of finite degree), including (Example 5) the discussion of straightedge and compass constructions.
•   Test (Mon Nov 4) and solutions.  Average: 81/100
•   HW3  due 5pm Fri Nov 22, 2024 on WyoCourses.
•   HW4  due 5pm Wed Dec 4, 2024 on WyoCourses.

/ revised November, 2024