Math 232: Linear Algebra Spring 2018 
Prof. Rafe Jones
MW 12:301:40, F 1:102:10 in Weitz 230
Textbook: Linear Algebra with applications, fifth edition, by Otto Bretscher 
This one wins for best header, and best bat:
This one easily had the best snail:
This one gets an award for best abstract seaweed, and best math joke:
This one wins the coveted highestcontrast (e.g. most eyewatering) category:
This one wins for best conceptual decoration:
This one wins for basically being an arttheory class essay prompt (this was the back of the note sheet):
This one wins for most enthusiasm:
This one wins for clearest retrospective realization:
The final will be this coming Monday from 3:306:00 pm in Weitz 133. There will be a review session on Sunday from 1112:15 in CMC 206.
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 7.4, 4.1, 4.2, and 4.3 that we covered in class) will account for roughly onethird 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:
Review Problems:
The second midterm is Monday, May 21, in Weitz 133 (during class time). It will cover Sections 3.3, as well as the material we've discussed about determinants, eigenvalues, eigenvectors, and eigenbases, which roughly corresponds to Sections 6.2, 7.2, and 7.3.
The exam will consist of a few computation problems, and a few truefalse questions with explanation. To review for the exam, try to do the true/false review questions also without looking at your notes, and be sure to write out a sentence or two explaining your answer for each. If you recognize areas where you aren't sure of yourself, then go back and consult your notes, book, and old homework in order to solidify your knowledge. You can also simulate the exam environment by taking the practice exam below without looking at your notes, and using only 70 minutes.
Some review problems:
Chapter 3 Exercises (pp. 163165) #17, 16, 17, 19, 29, 38, 41, 43, 44, 50.
Chapter 6 Exercises (pp. 308309), #3, 7, 8, 12, 15, 17, 37, 40, 41.
Chapter 7 Exercises (pp. 382384), #1, 3, 19, 27, 31, 33, 36, 39, 46, 51, 53.
For solutions to all the truefalse questions at the end of each chapter, click here.
For a practice midterm, click here.
For solutions to the practice midterm, click here.
The first midterm is Wednesday, April 25, in class. It will cover Chapters 1 and 2, and Sections 3.1 and 3.2. You should know all the definitions and techniques necessary to do the homework problems.
The exam will consist of about 5 problems, each of which is similar in format to one of the homework exercises. There will also be a section of true/false questions, similar to the review exercises below. You'll need to make sure you justify your answers for those, so it's good to get in the habit of writing down a few sentences justifying your answers as you do the exercises below. There is also a practice midterm below, which is similar in format to the actual exam. You'll have the full 70 minutes of class on Wednesday to complete the exam. Good ways to review for the exam include working the review problems below, using the practice exam to simulate an exam environment, reworking any homework problems that you lost points on or feel you didn't fully understand, and reviewing your class notes.
Below are quite a lot of review problems. They are True/False, but they're not necessarily easy! For each problem, you should write down some justification for your answer; for some of them just a sentence will do, while for others you'll need to do a computation, give an example, or make an argument. For instance for #4 from Chapter 1, if you think the answer is false, then you should jot down a system of four equations in three unknowns that is consistent. You should be able to move quickly through the first ones from each chapter, but some of the later ones will require significant thought.
Chapter 1 Exercises (pp. 3840) #127, 3135, 37, 39, 4143.
Chapter 2 Exercises (pp. 107109) #111, 18, 19, 21, 23, 27, 30, 34, 35, 36, 40, 43, 47, 53, 49, 50, 53, 57.
Chapter 3 Exercises (pp. 163165) #6, 7, 9, 13, 14, 18, 20, 22, 25, 27, 29, 37, 41.
For a practice midterm, click here. For solutions to the practice midterm, click here.
For solutions to all the truefalse questions at the end of each chapter, click here.
EXAMS 
Midterm Exam 1: Wednesday, April 25, in classMidterm Exam 2: Monday, May 21, in class Final Exam: Monday, June 4, 3:306:00pm
