The final will be this Saturday from 8:30-11:00 am in the usual classroom. There will be a review session on Friday, time TBA.

The final will be approximately twice as long as the midterms, though you'll have 2.5 hours in which to do it. It will cover everything we've done in the class. The material since the second midterm (the parts of sections 6.2, 7.1, 7.2, 7.3, and 7.4 that we covered in class) will account for roughly one-third of the exam.

Note Sheet: You will be allowed to have one side of one 8.5 by 11 sheet of notes for the exam. All sheets must be handwritten. You can write anything you like on the sheet -- formulas, examples, mnemonics, your personal linear algebra mantra, etc. No magnifying devices allowed. For those who would like to decorate their sheets or otherwise artistically arrange them: I will post my favorite ones on the course website after the exam.

Review tips:

• Do the review problems below. There are a lot of them, but many are routine and won't take you very long. The problems from the sections are all odd, so you can check your answers in the back. Several of the final exam problems will very closely resemble review problems. Note that this is not a comprehensive list of all the kinds of questions that might appear on the final, though all the major ideas of the course are represented in these problems.

• To simulate the environment of the exam, set aside 2.5 hours and do these problems: Section 1.1 #19; Section 2.2 #25; Section 3.2 #3; Section 4.1 #5; Section 4.3 #13; Section 6.1 #17; Section 7.3 #13; Section 7.4 #3, 47; and these True/False questions from the end of each chapter: Chapter 1 #22, Chapter 3 #37, Chapter 6 #37; Chapter 7 #21, 39. Note that these are a subset of the review problems below. I will post comments on these problems, so you can see if you're doing them correctly. For comments and solutions, click click here.

• For a handout listing some important definitions and computation techniques, click here.

• If while doing the review problems there are topics you feel you haven't grasped, consult your class notes and/or the book on that topic. You could also go back over problems on the topic from the homework assignments, reworking problems as necessary.

Review Problems:

• Section 1.1 #17
• Section 1.2 #9
• Section 1.3 #9, 19, 47
• Chapter 1 True/False Review questions, #21, 22, 23, 29, 30, 27

• Section 2.1 #17, 19, 21
• Section 2.2 #5, 25, 27
• Section 2.3 #21, 23, 37, 39
• Section 2.4 #5, 7, 13, 33, 69, 73

• Section 3.2 #1, 3, 27, 29
• Section 3.3 #9, 15, 25, 27
• Chapter 3 True/False Review questions, #5, 7, 9, 17, 19, 21, 25, 37, 44

• Section 4.1 #3, 5, 7, 23, 25, 27
• Section 4.2 #3, 25, 27, 49, 53, 63
• Section 4.3 #1, 13, 21, 23, 59
• Chapter 4 True/False Review questions, #9, 37, 43

• Section 6.1 #9, 17, 33, 43
• Section 6.2 #7, 17, 37
• Section 6.3 #11
• Chapter 6 True/False Review questions, #13, 37

• Section 7.1 #1, 9, 39
• Section 7.2 #3, 9, 19
• Section 7.3 #5, 9, 13, 15, 21, 27, 31, 35, 43, 47
• Section 7.4 #3, 5, 33, 47, 49
• Chapter 7 True/False Review questions, #1, 3, 19, 25, 27, 31, 39, 46, 51