## Finals: June 10-14

Final Exam! Our Final Exam will be held 10:10am-1pm on Monday, in our usual room.

# The Latest News and Info

#### Office Hours (Week 8)

I need to cancel my Thursday office hour this week. To make up for it, I'll be holding an extra office hour on Friday. My remaining office hours this week are: Tuesday:  1:10-2pm Friday: 11:10am-1pm [...]

#### Office Hours (Week 7)

I need to move my Thursday office hour this week, from its usual time of 1:10-2pm to 11:00-11:50am. This is for this week only. I will still be holding my usual Friday office hour, as [...]

#### Flowchart for First-Order Differential Equations

For those who missed it in class (or just want a digital copy), here is the flowchart we saw in class on Monday. Enjoy! Download

## Homework

All problems are taken from our textbook, Differential Equations and Linear Algebra, 4th edition, by Goode and Annin. 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

• Section 1.1: 1-7 (odds)

• Section 1.2: 1-11 (odds), 23-29 (odds), 33-39 (odds)

• Section 1.3: 1-7 (odds), 21-27 (odds)

• Section 1.4: 1-9 (odds), 15, 19, 25, 27

• Section 1.5: 1, 3, 5

• Section 1.6: 1, 3, 5, 9, 17, 19

### Homework 2

• Section 1.7: 1, 3, 5

• Section 1.8: 1-15 (odds)

### Homework 3

• Section 2.1: 1, 3, 13, 15

• Section 2.2: 1, 3, 5, 7, 11

• Section 2.3: 1, 3, 9, 11, 15-23 (odds)

• Section 2.4: 1-7 (odd), 19-25 (odd)

• Section 2.5: 13-21 (odd), 37, 51, 53

### Homework 4

• Section 4.2: 1, 5, 7, 11, 13

• Section 4.3: 1, 3, 5, 7, 17, 19, 21, 23, 25, 27

• Section 4.4: 1, 3, 11, 13, 15, 23, 25, 27, 29, 37

### Homework 5

• Section 3.1: 17-31 (odds), 35, 43, 45

• Section 3.2: 1-9 (odds), 15, 17, 39, 41

• Section 3.3: 7, 9, 13, 15, 19, 23, 25

• Section 4.5: 1, 3, 5, 7, 19, 21, 25, 27, 35

• Section 4.6: 1, 3, 5, 19, 21

• Section 8.1: 1, 3, 5, 17, 23, 25, 27, 39

### Homework 6

• Section 8.2: 1, 3, 9, 11, 15, 17, 21, 23, 27, 31, 35, 37

• Section 8.3: 1, 3, 5, 7, 9, 11, 17, 19, 21, 25, 27, 33, 35

### Homework 7

• Section 7.1: 1, 3, 7, 13, 15, 21, 23, 25, 29

• Section 7.2: 1, 3, 7, 11, 13, 15, 17, 21

### Homework 8

• Section 9.1: 1, 3, 9, 15, 17, 19

• Section 9.2: 1, 3, 7

### Homework 9

• Section 9.3: 1, 3, 5

• Section 9.4: 1, 7, 11, 13, 17, 19

• Section 9.5: 1, 3, 5, 7, 13, 15

• Section 9.8: 3, 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 Sections 1.1-1.6.

### Quiz 2

• Covering Sections 1.7 and 1.8.

### Quiz 3

• Covering Sections 4.2-4.4.

### Quiz 4

• Covering Chapter 3 and Sections 4.5, 4.6, and 8.1.

### Quiz 5

• Covering Section 7.1 and part of 7.2.

### Quiz 6

• Covering Sections 9.1 and 9.2.

## 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 Sections 1.1-1.8 and 2.1-2.5.

### Exam 2

• Covering Chapter 3, Sections 4.2-4.6 and 8.1-8.3.

### 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
10:10am-1pm on Monday, June 10

## Course Schedule

All sections refer to our textbook, Differential Equations and Linear Algebra, 4th edition, by Goode and Annin. 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.

## 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.

## Week 1

Date Sections Covered Homework Exam
Monday, June 25 1.1: Differential Equations Everywhere

1.2: Basic Ideas and Terminology

1.3: The Geometry of First-Order Differential Equations

1.1: 1-7 (odds)

1.2: 1-11 (odds), 23-29 (odds), 33-39 (odds)

1.3: 1-7 (odds), 21-27 (odds)

Tuesday, June 26 1.4: Separable Differential Equations

1.5: Some Simple Population Models

1.4: 1-9 (odds), 15, 19, 25, 27

1.5: 1, 3, 5

Wednesday, June 27 1.6: First-Order Linear Differential Equations

1.7: Modeling Problems Using First-Order Linear Differential Equations

1.6: 1, 3, 5, 9, 17, 19

1.7: 1, 3, 5

Thursday, June 28 1.8: Change of Variables 1.8: 1-15 (odds) Quiz 1 Solutions

## Week 2

Date Sections Covered Homework Exam
Monday, July 2 2.1: Matrices: Definitions and Notation

2.2: Matrix Algebra

2.3: Terminology for Systems of Linear Equations

2.1: 1, 3, 13, 15

2.2: 1, 3, 5, 7, 11

2.3: 1, 3, 9, 11, 15-23 (odds)

Tuesday, July 3 2.4: Row-Echelon Matrices and Elementary Row Operations

2.5: Gaussian Elimination

2.4: 1-7 (odd), 19-25 (odd)

2.5: 13-21 (odd), 37, 51, 53

Quiz 2 Solutions
Wednesday, July 4 No class (Academic Holiday)
Thursday, July 5 2.6: The Inverse of a Square Matrix

2.8: The Invertible Matrix Theorem I

2.6: 1, 3, 5, 9, 11, 13, 21

2.8: 5

Quiz 3 Solutions

## Week 3

Date Sections Covered Homework Exam
Monday, July 9 Chapter 3: Determinants 3.1: 17-31 (odds), 35, 43, 45

3.2: 1-9 (odds), 15, 17, 39, 41

3.3: 7, 9, 13, 15, 19, 23, 25

Tuesday, July 10 Midterm Exam Solutions
Wednesday, July 11 4.2: Definition of a Vector Space

4.3: Subspaces

4.2: 1, 5, 7, 11, 13

4.3: 1, 3, 5, 7, 17, 19, 21, 23, 25, 27

Thursday, July 12 4.4: Spanning Sets

4.5: Linear Dependence and Linear Independence

4.6: Bases and Dimension

4.4: 1, 3, 11, 13, 15, 23, 25, 27, 29, 37

4.5: 1, 3, 5, 7, 19, 21, 25, 27, 35

4.6: 1, 3, 5, 19, 21

## Week 4

Date Sections Covered Homework Exam
Monday, July 16 8.1: General Theory for Linear Differential Equations

8.2: Constant Coefficient Homogeneous Linear Differential Equations

8.1: 1, 3, 5, 17, 23, 25, 27, 39

8.2: 1, 3, 9, 11, 15, 17, 21, 23, 27, 31, 35, 37

Tuesday, July 17 8.3: The Method of Undetermined Coefficients: Annihilators 8.3: 1, 3, 5, 7, 9, 11, 17, 19, 21, 25, 27, 33, 35 Quiz 4 Solutions
Wednesday, July 18 9.1: First-Order Linear Systems

9.2: Vector Formulation

9.3: General Results for First-Order Linear Differential Systems

9.1: 1, 3, 9, 15, 17, 19

9.2: 1, 3, 7

9.3: 1, 3, 5

Thursday, July 19 7.1: The Eigenvalue/Eigenvector Problem

7.2: General Results for Eigenvalues and Eigenvectors

7.1: 1, 3, 7, 13, 15, 21, 23, 25, 29

7.2: 1, 3, 7, 11, 13, 15, 17, 21

Quiz 5 Solutions

# Week 5

Date Sections Covered Homework Exam
Monday, July 23 9.4: Vector Differential Equations: Nondefective Coefficient Matrix 9.4: 1, 7, 11, 13, 17, 19
Tuesday, July 24 9.5: Vector Differential Equations: Defective Coefficient Matrix 9.5: 1, 3, 5, 7, 13, 15 Quiz 6 Solutions
Wednesday, July 25 9.8: Matrix Exponential Function and Systems of Differential Equations 9.8: 3, 5, 9
Thursday, July 26 Final Exam