[Note: For the MAT 5530 syllabus, please go here.]
Prerequisite: Math 3110 or permission of the instructor.
Texts: We have 2 primary texts for this course.
Web Pages:
Bill Cook's webpage is located here:
https://mathsci.appstate.edu/~cookwj
and
Vicky Klima's webpage is located here:
https://mathsci.appstate.edu/~vlw
Our course webpage is located here:
https://mathsci.appstate.edu/~cookwj/courses/math4010-fall2013.
Meeting times: Monday, Wednesday, & Friday 9:00am – 9:50pm in Walker Hall room 308 (unless otherwise announced).
Final Exam: We will have final presentations on Friday, December 13th from 12pm until 2:30pm.
This course will be co-taught by Drs. Bill Cook & Vicky Klima. Dr. Klima will teach
the first half of the course (up to the midterm) and Dr. Cook will teach the second half.
Instructor (first half):
| Name: | Dr. Vicky Klima |
| Office: | Walker Hall 335 |
| Office hours: | M from 2:00pm until 3:00pm W from 2:00pm until 4:00pm TuTh from 3:00pm until 4:00pm F 11:00am until 12:00pm (Other times by appointment) |
| Phone: | (828) 262-2610 |
| Email: | klimavw@appstate.edu |
| Webpage: | https://mathsci.appstate.edu/~vlw |
| Name: | Dr. William (Bill) Cook |
| Office: | Walker Hall 347 |
| Office hours: | (first half of semester) M from 9:30am until 10:00am (second half of semester) M from 10:30am until 11:00am Tuesdays 9:00am until 11:00am & 2:30pm until 5:00pm (first half of semester) WF from 9:00am until 10:00am (second half of semester) WF from 10:00am until 11:00am (Other times by appointment) |
| Phone: | (828) 262-2367 |
| Email: | cookwj@appstate.edu |
| Webpage: | https://mathsci.appstate.edu/~cookwj |
Technology: You are welcome to use any technology at your disposal to complete out of class assignments. No calculators or other computer technology will be allowed on exams or quizzes in class. This includes cell phones. Your cell phone should never be out during an exam or quiz.
Course Topics:
After some intermediate linear algebra background, we will look
at the basic theory of Lie algebras including the definition,
examples, subalgebras, homomorphisms, and quotients. Then we will
transition to some representation theory, discussing the definition
of a representation/module, module maps, Schur's lemma, sl2
representation theory, Weyl's theorem, the root space decomposition
of simple Lie algebras, root systems, Weyl groups, Cartan matrices,
Dynkin diagrams, and the classification of simple Lie algebras.
Time permitting, we will also look at irreducible representations
of simple Lie algebras, the weight space decomposition, and the
classification of irreducible representations of finite dimensional
simple Lie algebras.
A tentative course schedule can be found at:
https://mathsci.appstate.edu/~cookwj/courses/math4010-fall2013/schedule.html.
Your term grade will be based on the results of your midterm exam, quizzes, final project/presentation as well as your scores on homework assignments. Here is more information about the individual components of your grade:
Exams: We will have two "big quizzes". The first quiz will fall roughly at the one quarter mark (Dr. Klima) and the second quiz will fall roughly at the three quarter mark (Dr. Cook). We will also have a midterm exam at the end of Dr. Klima's half of the course. The quizzes and midterm may have both in class and take home components. Each "big quiz" will make up 15% of your grade. The midterm will comprise 25% of your grade. The dates of quizzes & exams listed in the tentative course schedule may change. The actual dates will be announced in class.
Homework: We will post a list of suggested homework problems from our texts – these will not be collected. Even though these homework problems will be not collected, working out all of the suggested problems is strongly recommended. Please ask questions about problems with which you have had difficulty. We will also assign several sets of homework problems to be turned in for a grade. Please feel free to work on your homework with your classmates. However, you must write up your solutions yourself. Do NOT copy your collaborators work and turn it in as your own. Homework assignments will make up 30% of your term grade.
Final Project/Presentation: Shortly after the midterm, everyone will pick out a topic for further study and make a (brief) proposal. We will look over and approve proposals for projects and then suggest some problems/issues for you to consider. You will type up your project (bare minimum 5 pages). This should include some background, proofs of some basic facts, and several worked out representative homework problems. Your paper will be due toward the end of the semester. We will then use the final exam period (and possibly some other final class periods) for presentations. Your proposal, paper, and presentation will make up 15% of your term grade.
In summary, here are the components of your term grade with corresponding weights:
| Component | Weight |
| "Big Quiz" #1 | 15% |
| Midterm Exam | 25% |
| "Big Quiz" #2 | 15% |
| Final Project/Presentation | 15% |
| Homework | 15% (Klima) + 15% (Cook) = 30% |
Grades will be assigned based on the standard +/- system. (92-100 = A, 90-91 = A-, 88-89 = B+, 82-87 = B, 80-81 = B-, …, 60-61 = D-, 0-59 = F)
Attendance: Don't miss class. If you miss class, you are responsible for the material covered during your absence. If you miss a quiz, test/exam, or assignment, you must bring in documentation proving that you absence is excusable or otherwise receive a zero. If a make-up quiz/test/exam is granted, it must be made up before the next quiz/test/exam.
Help! If you need help, please come to our office hours. If you are in Walker Hall and either of our office doors are open, please feel free to stop by and ask questions – even if it's not during our regular posted office hours.
Fine Print: Copies of the academic integrity code, disability services information, religious observance policies can be found at https://academicaffairs.appstate.edu/syllabi