Instructor: Ben Davis Email: bdavis@stmarys-ca.edu Web: http://galileo.stmarys-ca.edu/bdavis/ Office: Galileo 101 A Office Phone: 631-8048 Office Hours: Tuesdays 2-4 pm or by appointment. Description: An introduction to Galois theory. Topics include factorization of polynomials, field extensions, ruler-and-compass constructions, field automorphisms, the Galois Correspondence, solvable and simple groups, solution by radicals. Text:
Galois Theory, Third Edition Ian Stewart Chapman & Hall/CRC Mathematics, c2004.
Coursework: The coursework consists of homework and exams.
Homework is assigned weekly and is due at the beginning of class on Wednesdays. I expect you to write a complete solution to every assigned problem. If you get stuck on a problem, or if you are not confident in your solution, please confer with fellow students or come ask me in office hours.
Exams cover the material presented in lecture and covered on the homework. Midterm 1 is held in class on Friday March 28. Midterm 2 is held in class on .The Final Exam will be held between May 19--22 at a place and time to be announced.
Overdue Coursework:
Overdue coursework is accepted with a 30% penalty compounded weekly. For example, an assignment that is late less than 1 week will yield 70% of its on-time value, between 1 and 2 weeks late yields 49% of on-time value, between 2 and 3 weeks late yields 34% of on-time value, and so forth. Missing coursework is scored at 50% which corresponds to a letter grade of F. Grades: The course grade is determined by a course score based on the components of homeworks, exams, particiaption, essay, and presentation. The weighting of each component is as follows: 34% homework average, 22% Midterm 1, 22% Midterm 2, 22% Final Exam. When the final exam score exceeds the lesser of the two midterm scores, the final exam score will replace the lesser of the two midterm scores. Excused omitted coursework shifts the weightings proportionally. Course scores determine course letter grades as follows: 100-93% = A, 92-90% = A-, 89-86% = B+, 85-83% = B, 82-80% = B-, 79-76% = C+, 75-73% = C, 72-70% = C-, 69-66% = D+, 65-63% = D, 62-60% = D-, Below 60 % = F. Calculators: Calculators are always permitted. Tutoring: The Student Math Center is open every Sunday-Thursday from 7-9pm. Additional tutoring may be requested from the Tutorial and Academic Skills Center (TASC) in Sichel 105. Academic Integrity: The Academic Honor Code detailed on pages 22-32 of the student handbook apply to this course. I encourage you to work with other students on coursework and to consult solutions manuals as needed, but your write-ups should be in your own voice, and consist largely of your own work. Where your argument depends heavily on another's work, say so. Disabilities: As stated in the Saint's College catalog, "Individualized assistance is provided for students with appropriately documented learning, health, psychological, or physical disabilities. Services are available to meet the needs of qualified students with disabilities in accordance with Section 504 of the Rehabilitation Act of 1973 and Title III of ADA." Students seeking assistance or information concerning their eligibility should contact the Office of Academic Advising and Achievement or the Tutorial and Academic Skills Center (TASC). Faculty members will work with these offices and each student to meet their qualified needs. Course Calendar: The course calendar details the schedule of coursework, exams and breaks.
Coursework and Announcements
Assignment 11 due Fri May 16
Stewart 14.6, 14.10
Stewart 15.1, 15.2, 15.3, 15.7 Assignment 10 due Fri May 9
Stewart 10.1: Do only the cases n=2 and n=3.
Stewart 11.1-11.4
Stewart 12.1 Assignment 9 due Wed Apr 30
Stewart 9.1, 9.2, 9.5, 9.6 Assignment 8 due Wed Apr 21 Assignment 7 due Wed Apr 16 Assignment 6 due Wed Apr 9
Stewart 7.1, 7.2, 7.13, 7.14, 7.15 Assignment 5 due Wed Apr 2
Stewart 6.1-6.4, 6.12-6.14 Assignment 4 due Fri Mar 14 Assignment 3 due Wed Mar 5 Assignment 2 due Wed Feb 27
Stewart 3.1-3.4 Assignment 1 due Wed Feb 20
