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Math108A Introduction to Linear Algebra MWF 10:00-10:50, PHELPS 1425 Dr. Karel Casteels, [email protected] Course Website: GauchoSpace Office Hours: South Hall 6516, Tuesdays and Thursdays 12:30-2:00 TA: David Nguyen, [email protected] TA Office Hours: TBA Course Description: “Official Description: Abstract vector spaces subspaces. Span and linear independence. Basis and dimension. Linear maps. Eigenvalues and eigenvectors.” The plan is to cover the first five chapters of the textbook. However, I do not always follow my textbooks super closely, so please attend every class.

Textbook: Linear Algebra Done Right, 3rd Edition, by Sheldon Axler. (Other textbooks that include the same material are fine to use.) Assignments

Grade Distribution: Tercile-quarter Exams (October 19th and November 9th) Final Exam (December 10th, 8-11am)

14% 23% (each) 40%

Notes: • This is an upper-division, proof-based math class. So it is assumed that you have mastered all material from Math 8. We will use basic mathematical terminology, notation (especially concerning sets) and proof techniques without special commentary. If you are still uncomfortable with these, please take the weekend to review them! • There will be no class on Wednesday, November 21st. • All tests are closed book, closed notes and closed calculators. No note cards. • It is expected that your assignments are well-organized and written neatly. Points may be deducted for especially messy work (or added for especially nicely presented work!). • I strongly recommend that you make an honest attempt at the homework questions on your own before talking to myself, the TA, classmates or searching online. You are only defeating yourself if you don’t learn how to think through problems and write their solutions coherently1 . Do not fear mistakes - it is a vital part of learning math. For this reason, your final assignment score will be rounded up to the next highest decile. For example, if you get 84% overall on the assignment portion of the class, I will count it as a 90%.

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to mention losing the joy of discovery!

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