2017 Spring Course Syllabus - Mathematics 8012.001
Course: Mathematics 8012.001.
Course Title: Abstract Algebra II.
Time: MW 12:00-13:20.
Place: Wachman 1036.
Instructor: Martin Lorenz.
Instructor Office: Wachman 528.
Instructor Email: martin.lorenz@temple.edu
Instructor Phone: 215.204.5013 (email is preferred).
Office Hours: MWF 10:30-11:30 or by appointment.
Prerequisites: Math 8011 or equivalent or permission of instructor.
Textbook: Dummit and Foote, Abstract Algebra, 3rd ed., John Wiley and Sons, 2004.
Course Goals: To teach the basic material in modern abstract algebra, completing the material taught in the Fall semester. This two-semester course sequence is a prerequisite for many of the higher-level graduate courses in pure mathematics and it provides the background needed for the PhD qualifying exam in Algebra.
Topics Covered: This course, the second semester of a year-long graduate-level introduction to abstract algebra, will start with a thorough discussion of field extensions. This will be followed by Galois theory, one of the core topics of abstract algebra. The third part of the course will be devoted to rings and modules. Topics to be covered in this part include noetherian rings and modules and the structure of modules over principal ideal domains. If time permits, an introduction to tensor products and other constructions of modern multilinear algebra will be given at the end of the semester.
Course Grading: The course grade will be based on two exams and homework. The final exam will count for 40% of your grade; the midterm exam and the total score from all homeworks will each count as 30% of your grade.
Exam Dates: There will be two exams, a Midterm Exam on Wednesday, March 8, 12:00-2:00 and a comprehensive Final Exam on Thursday, May 4, 12:00-2:00. Both exams will be given in the regular class room; the dates and times are to be confirmed.
Attendance Policy: Attendance will not be monitored, but you are strongly encouraged to attend class regularly and to take complete class notes.
Homework: Homework will be assigned and collected approximately weekly. You may work together on the assignments, but I expect everybody to write up their own solutions; obvious copies will not be accepted. The writing component is an essential part of this course.
Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.
Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here.
Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar for exact dates.
During the first two weeks of the fall or spring semester, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.
The grade I (an "incomplete") is reserved for extreme circumstances. It is necessary to have completed almost all of the course with a passing average and to file an incomplete contract specifying what is left for you to do. To be eligible for an I grade you need a good reason and you should have missed not more than 25% of the first nine weeks of classes. If approved by the Mathematics Department chair and the CST Dean's office, the incomplete contract must include a default grade that will be used in case the I grade is not resolved within 12 months.