Math 232: Linear Algebra Winter 2013 |
Prof. Rafe Jones
MW 12:30-1:40, F 1:10-2:10 in CMC 319
Textbook: Linear Algebra with applications, fourth edition, by Otto Bretscher |
This one wins for best overall decorations, including a convincing win the Best Spiderweb category:
Two sheets win prizes for best math puns. First we have the best puns inspired by a linear-algebra-and-houseplants nightmare:
Now comes the best linear-transformation-inspired pun, with bonus decorations:
This one gets an award for the best dragon:
And this one gets an award for the best abstract dragon:
This one has the best animal menagerie:
This one has the coolest partition scheme:
This one wins for smallest writing, and also best-dressed penguin
And finally, this one has the best excuse for not having decorations:
Office hours this week: Tuesday 10-11, Thursday 2:15-3:15 (review session in CMC 328), and Friday 1:00-2:30.
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 (Sections 6.1, 6.2, 7.2, 7.3, 7.4, and the material from the last class meeting) will account for roughly one-third of the exam.
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 calculus 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:
Project I
Project II
Paper that goes with Project II
The second midterm is Monday, February 25, in class. It will cover Sections 3.2, 3.3, 4.1, 4.2, and 4.3.
The exam will consist of a few computation problems, 1-2 proof-based problems, and a few true-false questions with explanation (some of these are likely to be identical to some of the review problems below). You'll have the full 70 minutes of class on Monday to complete the exam. Good ways to review for the exam include working Example 5 from the handout on the matrix of a linear transformation, doing the practice exam below, doing the review problems below, reworking any homework problems that you lost points on or feel you didn't fully understand, and reviewing your class notes.
Some review problems:
Chapter 3 Exercises (pp. 151-152) #6-10, 14, 15, 17, 23, 38.
Chapter 4 Exercises (pp. 184-186) #1, 2, 4-7, 10, 12, 13, 16, 17, 19, 21, 22, 24-28, 31, 32 (lower triangular means all entries above the main diagonal are zero, and the other entries can be anything; upper triangular is defined similarly), 34, 37, 43, 44, 45, 51, 53, 55, 64.
The above are all true-false questions. However, 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 or make an argument. The low-numbered exercises tend to be straightforward, while the higher-numbered ones can be quite challenging.
For a practice midterm, click here. For solutions to both the review problems above and the practice midterm, click here.
The first midterm is Friday, February 1, 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 5-7 problems, each of which is similar in format to one of the homework exercises or one of the review problems below. You'll have the full 60 minutes of class on Friday to complete the exam. Good ways to review for the exam include working the review problems below, reworking any homework problems that you lost points on or feel you didn't fully understand, and reviewing your class notes.
Here are quite a lot of review problems:
Chapter 1 Exercises (pp. 38-39) #1-27, 31-35, 37, 39, 41-43.
Chapter 2 Exercises (pp. 98-100) #1-6, 8-13, 15, 18, 19, 21-26, 29, 30, 32-35, 38-41, 43-46, 49, 53, 54.
Chapter 3 Exercises (pp. 151-152) #2, 3, 5, 11, 12, 16, 18, 20, 21, 22, 26, 29, 37, 41.
The above are all true-false questions. However, 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 or make an argument. The low-numbered exercises tend to be straightforward, while the higher-numbered ones can be quite challenging.
For a practice midterm, click here.
For solutions to both the review problems above and the practice midterm, click here.
EXAMS |
Midterm Exam 2: Monday, February 25, in class Final Exam: Friday, March 15, 3:30-6:00
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