Prerequisite: Math 2240 (Linear Algebra) or Math 3110 (Modern Algebra)

Texts:

• Linear Algebra by Friedberg, Insel, & Spence (4^th edition) ISBN: 978-0130084514 (used cost approx. $10 -- you can go to AddAll.com for prices. The best offers seem to come from Abebooks. Be careful! Some of these book sellers ship from overseas.)
• Linear Algebra by Hoffman & Kunze (2^nd edition) ISBN: 978-0135367971 (used cost approx. $10 -- you can go to AddAll.com for prices. The best offers seem to come from Abebooks

Supplementary Texts: Here are a couple of other supplementary texts...

• Linear Algebra Done Wrong by Sergei Treil is another good (free) resource. This text is available at http://www.math.brown.edu/~treil/papers/LADW/LADW.html
• Matrix Computations by Golub & Van Loan (3^rd edition) ISBN: 0-8018-5414-8 might be helpful for some discussions about numerical linear algebra. This text is available online at http://web.mit.edu/ehliu/Public/sclark/Golub%20G.H.,%20Van%20Loan%20C.F.-%20Matrix%20Computations.pdf
• Matrix Analysis and Applied Linear Algebra by Carl Meyer ISBN: 978-0898714548 (used copies are approximately $50). Meyer's text is a great introduction to the more applied side of linear algebra.
• Abstract Linear Algebra by Morton Curtis ISBN: 978-0387-97263-3 (used copies are approximately $15). This text is a nice short tour of the more abstract side of linear algebra. It has a final chapter devoted to Hurwitz's theorem (classifying real division algebras).

Web Page: My webpage is located here: https://mathsci.appstate.edu/~cookwj and
                    our course webpage is located here: https://mathsci.appstate.edu/~cookwj/courses/math5230-fall2016.

Meeting times: We meet on Mondays, Wednesdays, & Fridays from 11:00am until 11:50am in Walker 304.

Final Exam: Our final exam will be held in our regular classroom (Walker 304) on Tuesday, December 6th from 9:00am until 11:30am.

Lecturer:

	Name:	Dr. William (Bill) Cook
	Office:	Walker Hall 347
	Office Hours:	Monday 12-12:30pm Tuesday 11am-12:30pm & 2:30-3:30pm Wednesday & Friday 9-10am & 12-12:30pm 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. Calculators and other computer technology will not be allowed on exams or quizzes unless otherwise specified. We will probably have a mixture or technology assisted and unassisted exams.

Course Topics: The course catalog says, "A study of finite dimensional vector spaces. Topics covered may include matrices, linear transformations, change of basis, eigenvalues, canonical forms, quadratic forms and quasi-inverses."

Graduate students will eventually have to take a comprehensive exam based on some of the material covered in this course. The comprehensive exam will focus on "core" material and will avoid most of the more advanced topics that we cover.

1. Mastery of computational skills from undergraduate linear algebra
2. Understanding of theoretical concepts related to real and complex vector spaces and linear transformations
3. Understanding of spectral theory and diagonalization
4. Understanding of inner product spaces and orthogonality

Your term grade will be based on the results of your exams as well as your scores on quizzes, homework, presentation, and participation. Here is more information about the individual components of your grade:

Tests & Final Exam: There will be two tests and a "Big Quiz". The first test, the "Computation Test", will cover linear algebra "basics". Essentially we'll review undergraduate linear algebra for a few weeks and then make sure everyone is up to speed before we move on. The second test will be your "Almost Final Exam" covering the bulk of the course. This exam will probably consist of both an in class and take home portion. I will throw in a "Big Quiz" somewhere between the Computation Test and Almost Final Exam to help gauge where we are along the way. The Computation Test will make up 20% of your term grade. The Almost Final Exam will make up 30% of your final grade. The Big Quiz will make up 10% of your term grade.

Homework & Quizzes: I plan on posting 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. I will regularly assign sets of homework problems to be turned in for a grade. We may have a few (extra) short quizzes (if needed). I encourage you 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. The homeworks and quizzes will make up 30% of your term grade.

Participation & Final Presentations: Instead of having a final exam we will have final presentations. Everyone will pick a topic to present (this topic will have to be approved and should be an extension or application of something we covered in class). I will require that you create a nice handout and a few slides to go with your presentation. We will have presentations during the final exam period. Also, I except you to come to class and participate in discussions. I may periodically ask you to present a homework problem.

Here are the components of the term grade with their weights:

Component Weight Computation Test 20% Big Quiz 10% Almost Final Exam 30% Quizzes & Homeworks 30% Participation & Presentations 10%

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 workshop, you must bring in documentation proving that your 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 my office hours. If you are in Walker Hall and my office door is open, please feel free to stop by and ask questions – even if it's not during my 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.