Paul Dawkins

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Math 3301 – Differential Equations

Class Notes
You can access copies of my class notes at The notes are viewable on the web and can be downloaded. The downloads are broken up into section, chapter and complete set so you can get as much or as little as you need. I've tried to proof read these notes as much as possible, but there are bound to be typos in them. If you should happen to find a typo please let me know so I can get if fixed up.

These notes are NOT a substitute for attending class. I've tried to make them as complete as possible, but often a good question will arise in class that I didn't think about while writing the notes. So, if you skip class you will not get the results that discussion. Also, the examples given in the notes may or may not be the same as the examples given in class. This will depend upon the section that we're covering on any given day.

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Exam Schedule
Here is the tentative schedule for exams in this class. Remember that the exams in this class will cover the material listed and as such the dates are very tentative!! I will always announce the exam at least one week before it is given. It is your responsibility to get to class to find out when each exam will be given.

When I have finalized an exam date I will change the color of the date to red. At this point you will know that the exam will fall on that date.

Click here to see my makeup policy for this class.

Exam 1 : Wednesday February 10, 2010
First Order Differential Equations
[Show Exam Results]
  Hi  Low   Avg.   A's   B's   C's   D's   F's
35   100 (100%)   47 (47%)   77.09 (77.09%)   8   7   12   3   5

This exam was worth 100 points.

Exam 2 : Friday March 5, 2010
Second Order Differential Equations

Exam 3 : Tuesday April 6, 2010 (Tentative Date)
Laplace Transforms

Exam 4 : Monday May 3, 2010 (Tentative Date)
Systems of DIfferential Equations

Final Exam : Monday May 10, 2010 from 8:00 AM – 10:30 AM
All material covered in class.

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Grades & Distributions
After each hour exam I compute the grades of all the students based on the standard scale :

A : 100%- 90%, B : 89% - 80%, C : 79% - 70%, D : 69% - 60%, F : 59% - 0%

The "exam grades" are included only for reference purposes so you will know how you are doing in the course to that point and DO NOT in any way influence the final course grades. To make it a little easier to read the results I've also include the point range/scale needed for each grade based upon the standard percentage scale listed above.

I've got a very simply policy for computing final grades. At the end of the semester I add up your total points and divide that by the total number of possible points and then compare that percentage to the standard scale given above and assign a grade accordingly. I do not use any kind of fancy weighting system and I rarely scale the grades. On those few occasions that I do scale the final grade it is never more than a percentage point or two.

I've also complied all of the exam results here so that they are in one place.

[Show Exam Results] [Show Grade Distributions]

Exam Results
    Points   Num.
  Hi  Low   Avg.   A's   B's   C's   D's   F's
Exam 1   100   35   100 (100%)   47 (47%)   77.09 (77.09%)   8   7   12   3   5
Note that the results given here only include those who actually took each exam.

Grade Distributions
  Exam 1
(36) Students
A 120 - 1087
B 107 - 969
C 95 - 8412
D 83 - 723
F 71 - 05
Note that the number of student here after each exam may differ from that listed in the exam results. The totals here include all students still enrolled in the class instead of just those that took each exam.

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Homework Assignments/ Due Dates
Here is a list of the homework assignments for this semester. Each homework set is typically full homework set and will contain all the problems that I want you to turn in on the indicated due date (provided one has been given for that particular homework set).

Each homwork set generally consits of my own problems. I have, on very rare occasions, used problems out of a text book. When I do use a problem out of a text book I will put the problem in its entirety in the homework set and the text book will NOT be needed for the problem. Note as well that for good or bad my own problems tend to be harder (in general) than the average text book problem.

In most classes I will also post complete solutions to each homework set. IF solutions have been made available for download for a given set of homework there are a couple of things to note. First, the solutions may not have all the graphics that were in the solutions handed out in class due to the difficulty of getting some of the graphics into the document. Second, typically those that I graded are given first, with point values, and those that weren't graded are given last. Last, due to time constraints I don't always include every step in the solutions. I will always put in what I consider to be major steps and the answer will always be given. It will up to you to fill in any missing steps.

In order to view the homework sets and solutions you will need to have the Adobe Reader installed on your computer. You can download a copy here. Our lab in Lucas 209 already has the Adobe Reader installed so you can always use one of the computers there to view the homework sets.

Disclaimer : While I make every effort to make sure that the homework sets available here and the due dates are accurate, I will on occasion have a typo in the homework set, change the due date and/or inadvertently put the wrong due date here. If there is ever a discrepancy between the due date listed here and that given in class the due date given in class is the official due date. In the case of typos I will always announce the typo the very next class period after finding the typo. I will also make every effort to get the typo corrected here, however it may take me longer to get the typo corrected here.

It is your responsibility to know the correct due dates and/or be aware of any typo fixes that I may have announced in class.

Section/Problems               Due Date   Points

Homework Set 1   Friday January 22, 2010   10
Homework Set 1 - Solutions    

Homework Set 2   Friday January 29, 2010   10
Homework Set 2 - Solutions    

Homework Set 3   Friday February 5, 2010   10
Homework Set 3 - Solutions    

Homework Set 4   Wednesday February 17, 2010   10
Homework Set 4 - Solutions    

Homework Set 5   Tuesday February 23, 2010   10
Homework Set 5 - Solutions    

Homework Set 6   Tuesday March 2, 2010   10
Homework Set 6 - Solutions    

Homework Set 7   Due Date To Be Announced   10
Homework Set 7 - Solutions    

Homework Set 8   Due Date To Be Announced   10
Homework Set 8 - Solutions    

Homework Set 9   Due Date To Be Announced   10
Homework Set 9 - Solutions    

Homework Set 10   Due Date To Be Announced   10
Homework Set 10 - Solutions    

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Here are a variety of handouts that you may find useful in this class. Some are copies of handouts that I've given in class and others are here because you may find them useful for one reason or another. They are in a variety of formats.

  • html - This is fairly obvious. It will load the information into your browser.
  • pdf - This is Adobe's pdf format and requires their Acrobat Reader to view it. Click here to go to Adobe's web site to download Acrobat Reader if you need to. Our lab in Lucas 209 has Acrobat Reader installed as so you can always view these there.

Here are the handouts for this semester that are available for download.

  • Information Sheet [pdf] This is a copy of the information sheet that I handed out one the first day of classes.
  • Course Policies [pdf] This is a copy of the course policies that I handed out one the first day of classes.
  • My Syllabus [pdf] Here is a copy of the list of topics in my notes that we'll be covering this semester as well as exam dates and material covered.
  • Important Information [pdf] This is a copy of some important information that is handed out to all mathematics classes.
  • Tips for passing my class. [pdf] This is a list of tips that may help you to pass my class. You may or may not agree with all of them and some may not help you, but I suspect that most of these will help at least some to pass my class.

Here are some handouts that I generally handout to the class over the course of the semester.

  • Problems for the modeling lecture [pdf]
  • Handout for the Euler's method lecture [pdf]
  • Problems for the vibration lecture [pdf]
  • Table of Laplace transforms [pdf]
  • Handout for the phase plane lecture [pdf]

Here are some downloads you may find useful.

  • Algebra/Trig Review [html | pdf] - Looking for a refresher in Algebra and Trig? Here is a list of problems to test your knowledge of Algebra and Trig skills.
  • Algebra/Trig Review Solutions [html | pdf] - Here are solutions to the problems from the Algebra/Trig Review above.
  • Common Math Errors [html | pdf] - Here is a list of common math errors that you may find useful.
  • Getting Help/How to Study Math [html | pdf] - Here are some tips for studying mathematics.

  • Algebra Cheat Sheet [Full Sized - pdf | Reduced - pdf] - This is as many common algebra facts, properties, formulas, and functions that I could think of. There is also a page of common algebra errors included. It comes in two version, a full sized version that is currently four pages long and a reduced version that has the same information except it has been reduced down to fit into two pages.
  • Trig Cheat Sheet [Full Sized - pdf | Reduced - pdf] - Here is a set of common trig facts, properties and formulas. A unit circle (completely filled out) is also included. It comes in two version, a full sized version that is currently four pages long and a reduced version that has the same information except it has been reduced down to fit into two pages.
  • Common Derivatives and Integrals [Full Sized - pdf | Reduced - pdf] - Here is a set of common derivatives and integrals that are used somewhat regularly in a Calculus I or Calculus II class. Also included are reminders on several integration techniques. It comes in two version, a full sized version that is currently four pages long and a reduced version that has the same information except it has been reduced down to fit into two pages.