Math 4000/6000             INTRO MODERN ALGEBRA & GEOMETRY                     FALL 2005

 

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

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

 

Office Hours:    M 1:25–2:25 , W 9:00–10:00, F  TBA, and by appointment or chance MWF. I also encourage questions by e-mail.

 

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

 

Material:           Sections 1.1-1.4, 2.1-2.4, 3.1-3.3, 4.1-4.2, 6.1-6.3.

 

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. Homework will be due Wednesdays in class.  Late homework will normally not be accepted for credit.

 

Objectives:       In this class we will develop some theoretical aspects of mathematics in a rigorous fashion. Unlike in calculus, problems in this course are not routine—you won't always find similar examples in the textbook, and you are required to write convincing proofs. To do this you will need to understand definitions and theorems very clearly. It is not uncommon to spend several hours on a single problem. But if you don't put in the effort, you won't benefit much from this course. You must take an active role in learning and understanding the material.

 

Test Dates:       Test #1:             Fri. Sep. 30            (tentative: please see me as soon

                        Test #2:             Fri. Nov. 4             as possible if there are conflicts)

                        Final Exam:        Fri. Dec. 16, 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 students are responsible for maintaining the highest standards of honesty and integrity in every phase of their academic careers. The penalties for academic dishonesty are severe and ignorance is not an acceptable defense." See especially sections 5 and 7 of:

http://www.uga.edu/ovpi/academic_honesty/culture_honesty.htm.

This syllabus provides a general plan for the course -- deviations may be necessary.