Dr. Andrew D. Loveless

aloveles@math.washington.edu

Office: Padelford C-339

Office hours: Click Here

My Old Exams Archive

Math Dept. 307 Exam 1 Archive

Math Dept. 307 Exam 2 Archive

Math Dept. 307 Final Exam Archive

Midterm 1: Wed, Oct 16th

Midterm 2: Fri, Nov 15th

Please read the syllabus for Midterm rules. Make-up midterm exams will not be given for any reason.

307 Section K Final Exam:

Mon, Dec 9, 2:30-4:20pm, CHL 015

Math Study Center

Center for Learning

and Undergraduate

Enrichment (CLUE)

Student Counseling Center

Information for Students

of International TAs

- Announced 11/24/19: See chapter 6 materials and final review material below:
- Final Review Sheet. A list of facts
- Review of 6.5 and 6.6: Impulse Response, Convolutions, and the Dirac Delta Function.
- Test Prep 4 Solutions: Laplace/Inverse LaPlace Transforms and step functions.
- Final Exam LaPlace Table: This is the table I will provide on the final exam. You also get one 8.5 by 11 inch sheet of handwritten notes (front and back). You can put anything on that notesheet.

- Announced 11/22/19: See chapter 6 materials below:
- Laplace Transform Reference Sheet. Also contains practice problems and full solutions.
- Review of 6.3: Summary of Step Functions.
- Review of 6.4: Examples of solving with discontinuous forcing.
- Laplace Transform Practice Sheet
- Inverse Laplace Transform Practice Sheet

- Announced 11/15/19: See chapter 6 materials below:
- Here are End of Week 8 Newsletter.
- Laplace Transform Reference Sheet with Examples. A reference sheet for all of chapter 6.
- Introduction to Chapter 6.
- Review of 6.1: Definition of Laplace transform and several example calculations.
- Review of 6.2: Summary of essential facts from 6.2.
- Review of Integration by Parts: You need to know these integration by parts facts well in order to understand the calculations in 6.1. Please read this before reading 6.1.
- Review of Partial Fractions: You need to know partial fractions well in order to understand the calculations in 6.2. Please read this review before reading 6

- Announced 11/7/19:
- Here are End of Week 7 Newsletter.
- Here is Test Prep 3 Solutions: Also includes a generlized discussion of the solution plus a discussion of how to graph the solution (I gave this out in lecture, but there were a couple typos which I pointed out and fixed in this posting).
- Here is an Exam 2 Review sheet: The first two pages are an exam review, the rest of the pages are just copies of all my other review sheets since exam 1.
- Here is very brief overview of 3.7 and 3.8 facts (the other 3.7 and 3.8 review sheets have more details, this is just a brief overview).
- Here are the Lecture Overheads from today covering 3.7 and the start of 3.8.
- A section 3.8 analysis: description of terms and analysis for forced vibrations.
- A section 3.8 Beats analysis: graphing a solution with two waves of different frequencies.
- Pictures of "beats" example from Lecture on 3.8.

- Announced 10/31/19: Check these out:
- Here are End of Week 6 Newsletter.
- Here is an old test prep 3 and solutions.
- A summary of second order solving
- A section 3.7 and 3.8 derivation and description of applications: examples are given of how to set up the problems.
- A section 3.7 analysis: description of terms and analysis for free vibrations (no forcing).
- A section 3.8 analysis: description of terms and analysis for forced vibrations.
- A section 3.8 Beats analysis: graphing a solution with two waves of different frequencies.
- Now would be a good time to read the Cosine Waves Review.

- Announced 10/24/2019: New materials:
- Here are End of Week 5 Newsletter.
- A section 3.4 review sheet: full discussion with examples of the repeated root case along with a discussion of reduction of order.
- A summary 2nd order constant coefficient homogeneous solution methods.
- A section 3.7 and 3.8 derivation and description of applications: examples are given of how to set up the problems.
- A section 3.7 analysis: description of terms and analysis for free vibrations (no forcing).
- A section 3.5 review sheet: full discussion of undetermined coefficients with several fully worked out examples.

- Announced 10/18/2019: Here are Exam 1 Solutions
- Announced 10/15/2019: Please check out all the following materials:
- Here are End of Week 4 Newsletter.
- Here is a Ch. 3 Terminology/Overview
- A section 3.1 review sheet: explanation and several more examples of two real root problems.
- A section 3.2 review sheet: a discussion of linearity and the Wronskian.
- A section 3.3 review sheet: explanation and several more examples of two complex root problems.
- Skills Review: Solving Two-by-Two Systems: You need to know this in order to find constants (which you have to do in nearly every section in chapter 3). You also need to know these facts to understand when solutions are unique (as discussed in section 3.2).
- Skills Review: Complex Numbers Introduction: You need this to understand the method in section 3.3 (which we also use in later sections). You also need this to complete the problems from the homework.

- Announced 10/10/2019: New materials:
- Here is my End of Week 3 Newsletter, please read.
- Here are Exam 1 Rules and Review.
- Here an Exam 1 Review Sheet.
- Here is a section 2.5 review sheet: Review on autonomous equations.
- Here is a section 2.7 review sheet: Euler's method for approximate solutions with two full examples.

- Announced 10/3/2019: New materials:
- Here is my End of Week 2 Newsletter, please read.
- We will have a short test prep on next Friday, you will practice our two solving methods.
- Here is a section 2.1 review sheet: more discussions and examples of integrating factors (please read).
- Some lecture section 2.3 review sheet: more discussion and examples of applications.
- First Order Solving Summary: Summary of the methods for this class.

- Announced 9/30/2019: Here are Test Prep 1 Solutions.
- Announced 9/26/2019: Check out these review sheets:
- Here is my End of Week 1 Newsletter, please read.
- Here is a section 2.2 review sheet: separation of variables with additional examples.
- Chapter 1 Overview: A quick overview of chapter 1 facts (see other postings below for more details).
- First order differential equation applications: A discussion with examples and practice problems.
- Slope Field Examples: Several examples of slope fields.

- Announced 9/26/2019: Integration Review
- Here is some basic integration examples: includes several worked out examples of subsitution, by parts and partial fractions.
- Here are many more examples and explanations about integration by parts.
- Here are many more examples and explanations about partial fractions. (This will be an essential reference sheet when we get to chapter 6).
- Math 307 Integration Table: Basic integration table for Math 307.
- On Friday, we will have a short skills test prep on integration. Here is Test Prep 1 from last year and Solutions.

- Announced 9/16/2019: Welcome to Math 307. This webpage contains the course syllabus, the homework schedule, a course calendar and links to Math 307 material. Throughout the quarter I will be posting numerous review sheets and announcements. Please check back regularly.

**Essential First Week Announcements**:- You will complete all your homework on Webassign. It costs about $25 for this course. To access, log-in here: Homework (WebAssign).
- Here are detailed instructions from Webassign for how to pay and enter your access code: Webassign Access Code Entry Instructions. If you have any trouble, you can visit webassign customer services representatives in person on Monday, October 7th from 11am to 3pm in the Math Study Center (Communications B-014).
- You will also want to purchase a hardcopy of the textbook (consider it required). The book is by Boyce and Diprima,
*Elementary Differential Equations and Boundary Value Problems*or*Elementary Differential Equations*. Any edition is fine. Older editions cost less. A paperback version called Introduction to Differential Equations is available at the bookstore.

Lecture Materials

Weekly Newsletters

Homework (WebAssign)

Syllabus

Course Calendar

Grades

Grade Scale

Application Video Links

Math 307 Dept. Website

Chapter 6 Introduction

Section 6.1 review sheet

Section 6.2 review sheet

Section 6.3 review sheet

Section 6.4 review sheet

Section 6.5/6.6 review

Laplace Transform Fact Sheet

Laplace Transform Practice Sheet

Laplace Transform Fact Sheet with Examples

Full example of Laplace Transform Method

Overheads of a full 6.4 Example

Integration by Parts for Ch. 6

Partial Fractions for Ch. 6

Final Exam Topics List

Ch. 3 Terminology/Overview

Section 3.1 Review

Section 3.2 Review

Section 3.3 Review

Section 3.4 Review

Overview of 3.1-3.4 Method

Ch. 3 Application Set-Up

Section 3.7 Review

Section 3.5 Review

Second Order Solving Summary

Section 3.8 Review

3.8 and Beats Overview

3.7 and 3.8 Overview

Exam 2 Review

Complex Numbers Introduction

Solving Two-by-Two Systems

Waves Review

Chapter 1 Overview

First order applications

Slope Field Examples

Interactive Slope Field Plotter

Section 2.1 Review

Section 2.2 Review

Section 2.3 Review

Section 2.5 Review

Section 2.7 Review

First Order Solving Summary

Exam 1 Rules and Topics

Exam 1 Review Sheet

Math 307 Integration Table

Full Overview of Integration Techniques

Integration Techniques Flowchart

Basic integration examples

Integration by Parts for Ch. 6

Partial Fractions for Ch. 6

Partial Derivatives

Complex Numbers Introduction

Solving Two-by-Two Systems

Waves Review

Dr. Loveless 124 Material Archive

Dr. Loveless 125 Material Archive

Dr. Loveless 126 Material Archive