MATHEMATICS 110C INFORMATION
| Professor: | Richard Elman |
| Office: | MS 5328 |
| Office Hours: | MWF3 |
| Lecture: | MS 5127 MWF2 |
| Additional Meeting: | MS 5127 W4 We will do various things during this time. Examples: Motivation, Review, Further Material, some of which may be needed or explain lecture material. Attendance is voluntary. |
| TA: | Jas Singh: Discussion Session MS 6229 T2 Office Hours: TBA |
| Book: | Lectures in Algebra: Preliminary Version Optional Text Dummit and Foote: Abstract Algebra, 3rd Ed. |
| Material: | This is the third quarter of a year long (honors) course in
abstract algebra. This quarter we will study Field Theory.
This is one of, if not the best, mathematics undergraduate course.
We will solve many of the classical mathematical problems: Why there
are formulas for determining roots of quadratic, cubic, and quartic
polynomials and why such do not exist for the quintic and higher;
solution of the famous Greek construction problems: trisection of an
angle, construction of regular n-gons, doubling of a cube, squaring of
a circle, algebraic proof of the Fundamental Theorem of Algebra. The course shows how abstract group theory came into use
via Galois Theory and represents the beginnings of modern mathematics. It is also important that, besides me and Jas, that you discuss the material (and problems) with other people in the class. Hopefully, you already work with someone. |
| Exams: | No Midterms and No Final: |
| Homework: |
Upload your homework to Gradescope. The grade will be completely determined by your homework. There are 50 assigned problems. Try to do all problems without looking things up. Subject to change: Problems done incorrectly will be returned to be corrected. Credit is given for correctly done problems. To get an A you must earn 40 problems correctly. If you copy from a book or other source, you must cite the book and page number or the exact http etc. Do not procrastinate. Jas will determine due dates for the various problems as well as fine-tuning. |
| Quiz Section: | Jas will go over material done in lecture, help with homework problems, and additional related material. |
| Grading: | Grade is based solely on the number of homework problems done correctly. |