## Final Exam Week

By popular request, I have posted below final exams from previous quarters of Math 206. Feel free to use these to practice for our final, but keep in mind that some quarters covered slightly different topics than we’ve seen. So if you see a term we haven’t mentioned (e.g., quadratic form, singular value, etc.), feel free to ignore that problem.

Good luck with your other exams, as well!

Office hours: 8-10 am on Wednesday and Friday.

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#### Welcome to Math 206!

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## Homework

All sections refer to our textbook, Linear Algebra and Its Applications, 5th edition, by Lay, Lay and McDonald. Homework will not be collected, but quiz and exam problems will be based on these assigned problems. It is important to work through enough of the assigned problems until you feel comfortable with all of the material.

### Homework 1

• 1.1: 1, 3, 7, 9, 11, 17, 23

• 1.2: 1, 3, 7, 9, 11, 21, 23-31 (odds)

• 1.3: 1, 3, 5, 9, 11, 13, 15, 19, 23, 25, 29

### Homework 2

• 1.4: 1-13 (odds), 17, 19, 25

• 1.5: 1-15 (odds), 29, 31

• 1.7: 1, 3, 11, 15, 17, 19, 27, 33, 35, 37

### Homework 3

• 1.8: 1-9 (odds), 13-19 (odds)

• 1.9: 1-7 (odds), 13, 15, 17, 25

• 2.1: 1, 3, 7, 9, 15

### Homework 4

• 2.2: 1-7 (odds), 13, 21, 29

• 2.3: 1, 3, 15, 19, 29, 33

### Homework 5

• 3.1: 1, 9, 15, 19, 21

• 3.2: 1, 3, 5, 9, 11, 21, 25, 31, 33

### Homework 6

• 2.8: 1, 5, 7, 11, 15, 19, 23

• 2.9: 1, 3, 5, 9, 13

• 4.1: 1, 3, 9-17 (odds), 29, 31

• 4.3: 1-15 (odds), 21, 23

• 4.5: 1, 3, 9, 11, 15, 19

• 4.6: 1, 3, 7, 9, 11

### Homework 7

• 4.4: 1, 3, 5, 9, 11

• 4.7: 1, 7

### Homework 8

• 5.1: 1, 3, 9, 11, 15, 19

• 5.2: 1, 3, 5, 7, 15

• 5.3: 7, 11, 15 (just find bases for each eigenspace)

• 5.4: 1, 11

### Homework 9

• 5.3: 5, 9, 13

• 5.4: 13, 15

• 6.1: 1-17 (odds)

• 6.2: 1-11 (odds), 13, 15

### Homework 10

• 6.3: 3-11 (odds)

• 6.4: 1, 3, 5

• 6.5: 1, 5, 9

Tested in Final Exam

## Quizzes

There are weekly in-class quizzes, consisting of a few problems on topics covered that week. At the end of the quarter, your lowest quiz score is dropped and the average of your remaining scores is worth 25% of your Overall Score.

## Make-Up Policy

If you have a scheduling conflict with a quiz or exam, contact me prior to the quiz/exam in order to schedule a make-up. Make-ups may be taken early or the following class day. Make-ups taken two or more class days late will be subject to a late exam penalty of 10% per day. All make-ups must be completed within one week of the original exam.

### Quiz 1

• Covering material from Sections 1.1-1.3.

### Quiz 2

• Covering material from Sections 1.4, 1.5, and 1.7.

### Quiz 3

• Covering material from Sections 1.8, 1.9, and part of 2.1.

### Quiz 4

• Covering material from Sections 3.1 and 3.2.

### Quiz 5

• Covering material from Sections 2.8, 2.9, 4.1-4.3, 4.5, and 4.6.

### Quiz 6

• Covering material from Sections 4.4 and 4.7.

### Quiz 7

• Covering material from Sections 6.1 and 6.2 (not projections), as well as the concepts of matrix similarity and diagonalization from Chapter 5.

### Quiz 8

• This is a practice quiz, covering material from Sections 6.2-6.5.

## Exams

There are two in-class midterm exams and a cumulative final exam. Each midterm exam is worth either 15% or 20% of your Overall Score, depending on whether that exam score is lower or higher than your final exam score, respectively. Your final exam is worth either 35%, 40%, or 45%, depending on whether your final exam score is higher than neither, one, or both midterm exams.

## Accommodations

If you have a disability for which you are or may be requesting an accommodation, you are encouraged to contact me as well as the Disability Resource Center (Building 124, Room 119; Tel: (805) 756-1395), as early as possible in the term.

### Exam 1

• Covering material from Sections 1.1-1.5, 1.7-1.9, and 2.1-2.3.

### Exam 2

• Covering material from Sections 2.8, 2.9, 3.1, 3.2, 4.1-4.7, and 5.1-5.4 (excluding similar matrices and diagonalization).

### Final Exam

• Covering everything we learned this quarter. The exam will be roughly twice as long as a midterm exam, and will break down as follows:

• Exam 1 material: 1/4 of exam
• Exam 2 material: 1/4 of exam
• New material: 1/2 exam
• Below are some final exams from previous quarters. Feel free to use these to practice for our final, but keep in mind that some quarters occasionally covered slightly different topics. So if you see something you don’t recognize (e.g., quadratic forms, singular values, etc.), feel free to ignore it.

[Section 1] 1:10-4pm on Monday, December 9

[Section 2] 4:10-7pm on Wednesday, December 11