Math 4010/6010                  MODERN ALGEBRA & GEOMETRY II                     SPRING 2006

 

Instructor:         Dr. Brian Boe                                                            Office:      601B Graduate Studies

Phone:              542-2547                                                                  E-mail:         brian@math.uga.edu

Web:                http://webct.uga.edu

 

Office Hours:    Mon. 12:20-1:20, Wed. 9:00-10:00, and one more TBA (see WebCT). I also encourage questions by e-mail.

 

Text:                 Abstract Algebra: A Geometric Approach, Theodore Shifrin.

 

Material:           Sections 5.1-5.3, 6.2-6.4, 2.5, 7.1-7.6, other topics as time permits.

 

Grading:           Homework                                25%

                        2 Tests                                      40%

                        Final Exam (comprehensive)       35%

                    

Homework:      Doing problems is the most important part of the course--it's the only way to learn advanced mathematics! I encourage you to consult with me whenever you need help--I'll gladly provide hints in office hours.  It is permissible to discuss the problems with other students, but you must write up your own solutions, independently. "Advanced problems" are compulsory for 6010, optional for 4010 (but at least a few should be attempted by anyone hoping to get an A).  Homework will be due Wednesdays in class.  Late homework will normally not be accepted for credit.  Homework will also be posted on the Calendar in WebCT.

 

Objectives:       Continue the development of abstract algebra, focusing on field extensions, group theory, and their interaction via Galois Theory. Students become more adept at solving abstract problems and writing proofs.

 

Test Dates:       Test #1:             Mon. Feb. 20         (tentative: please see me as soon

                        Test #2:             Fri. Apr. 7              as possible if there are conflicts)

                        Final Exam:        Fri. May 5, 8-11 a.m.

 

Policy:              I don't accept late homework or give makeup exams. Although you are permitted to discuss homework with other students, you are expected to write up your assignments individually. Referring to another student's written work while writing yours, writing up homework together, or allowing another student to copy your written work, constitutes academic dishonesty. "All academic work must meet the standards contained in 'A Culture of Honesty.' Students are responsible for informing themselves about those standards before performing any academic work." See http://www.uga.edu/ovpi/honesty/acadhon.htm, especially sections 5 and 7. "This syllabus is a general plan for the course; deviations announced to the class by the instructor may be necessary."