MAT 3306, Differential Equations, Spring 2015

Good Links

1. Course Syllabus

2. Superb Advanced Math CAS-Plotting Software (Windows Version)

3. Superb Advanced Math CAS-Plotting Software (Mac Version)

4. wxMaxima - The 10 Minute Tutorial

5. A Good Detailed wxMaxima Tutorial

6. Excellent Geometry/Algebra Plotting Program (Geogebra - Windows Version)

7. Excellent Geometry/Algebra Plotting Program (Geogebra - Mac Version)

8. Paul's Notes on Differential Equations (Our Textbook)

9. Link to an external WIMS server

10. Integral Tables

11. Common Derivatives and Integrals

12. Trig Identities

---------------------------------------------

Homework Assignments

Note: On all emails for this course, start the subject line out with MAT3306, followed by whatever else is appropriate. Emails without this subject line formatting may not be accepted! ----------------------------------------------------------- HW0: Read and Study (R&S) pgs 1-19 in Paul's Notes. Due: Start of class on Wednesday, 1/14 ----------------------------------------------------------- HW1: Do examples 2-6 in the Paul's Notes section on Definitions (pgs 2-19). Do Schaum's problems, Chap 1, #'s 1-4,6,17,19,26. R&S Paul's pgs 20-33 on Linear 1st order ODEs. Due: Start of class on Monday, 1/19 Lecture notes from Wednesday, 1/14/2015 ----------------------------------------------------------- HW2: Do examples 1-6 in the Paul's Notes section on Linear ODEs (pgs 20-33). Make sure you can do each step of each problem on a blank sheet of paper! No reading assignment for today. Due: Start of class on Wednesday, 1/21 Lecture notes from Monday, 1/19/2015 Sample problem worked from Schaum's chapter on Linear 1st Order ODEs (problem 20). ----------------------------------------------------------- HW3: Do Problems 3,4,8,13,14,23,30,34 from Schaum's Chapter 6 (Linear 1st Order ODEs). R&S Paul's pgs 34-44 on Separable 1st Order ODEs Due: Start of class on Monday, 1/26 Lecture notes from Wednesday, 1/21/2015 ----------------------------------------------------------- HW4: Make sure you can do the integration by parts integral on problem 8 from Schaum's for HW3! I have a handout that will help for everyone. You may pick a copy of it up in my office mailbox (top box on the left). Do examples 1-6 in the Paul's Notes section on Separable ODEs (pgs 34-44). Due: Start of class on Wednesday, 1/28 Lecture notes from Wednesday, 1/26/2015 ----------------------------------------------------------- HW5: Some interesting wxmaxima files related to Schaum's Chapter 4, Problem 3 in today's lesson: Things related to the interval of validity The effect of different values of c General solution to a cubic equation Schaum's Chapter 4; Problems 4,5,6,8,9,23,24,35,37,41,42 In the problems above, always consider the interval of validity (like our text), whether the Schaum's solution mentions it or not. Also, in the problems above, if you are asked to solve an equation that is not separable, just say, "not separable" and skip it. If you have any part of a problem that requires integration by parts to get the answer, show the steps of the integaration by parts technique. R&S Text, pgs 45-53 on Exact Differential Equations. Due: Start of class on Monday, 2/2 ----------------------------------------------------------- HW6: Another example of an exact ODE Same problem as in the link above, but with an alternate approach that gives the same solution. Finish the problem we were working on at the end of class; (this problem, but find PSI(x,y) using N instead of M as in this example). Do Paul's Examples 2,3,4 (The Exact ODEs chapter on pages 34-44). I would encourage you to do them using my notation. Due: Start of class on Wednesday, 2/4 Lecture notes from Monday, 2/2/2015 ----------------------------------------------------------- We will have our first exam over Linear, Separable and Exact ODEs on Wed, 2/11 ----------------------------------------------------------- HW7: Do the following problems from Schaum's Chapter 5 on Exact Equations. I would strongly recommend that you use the notation I use in my examples to minimize confusion! Schaum's Chapter 5, Problems 7,8,12,56,60,65. R&S Paul's Text on Bernoulli Differential Equations (pgs 56-62). Due: Start of class on Wednesday, 2/4 Lecture notes from Monday, 2/4/2015 ----------------------------------------------------------- HW8: Finish the example on the board at the end of class (see the attachment below). Do Paul's Ex's 1,2,3 in the Bernoulli Section (pgs 56-62). Due: Start of class on Monday, 2/16 Lecture notes from Monday, 2/9/2015 ----------------------------------------------------------- Our first Exam will be Wednesday. You may arrive early (7:30) if you think you might need the extra time for the exam. There will be two parts to the exam. A take-home section will contain a separable equations problem where the solution will involve an integration by parts. I want to see all the details on that worked out. This part will be due by the start of class on Monday, 2/16. The in class part of the exam on Wednesday will contain problems of the exact and linear types. The problems will be similar to the assigned homework problems over those sections. You may bring a set of tables for integrals and derivatives as well as an additional three pages of study notes (8.5 x 11 front and back). Remember to bring your calculator. ----------------------------------------------------------- HW9: R&S pgs 63-75 in Paul's. Be able to do Examples 1,2,3 on a blank sheet of paper, including the required integration techniques. Lecture notes from Monday, 2/16/2015 Due: Start of class, Monday, 2/23 ----------------------------------------------------------- Note: Do NOT show up for class Monday morning (2/23). There is extreme cold and will very likely going to be ice on the roads. Just look at these notes. They are what I would have covered in class. I'll have some homework problems from Schaum's in the morning. Work on those! ----------------------------------------------------------- HW10: Schaum's Chapter 4, pgs 25-30, #'s 11,12,46,48,50,51,52 Problem 47 example Due: Start of class, Wednesday, 2/25 ----------------------------------------------------------- HW11: Be able to do Examples 1-3 (pages 77-83 in Paul's). Due: Start of class, Monday, 3/2 ----------------------------------------------------------- HW12: Schaum's Chapter 7 #'s 65,67,70 (pg 71) (look at #'s 16,17,18 (pg 64) for examples) #'s 26,27,31,33,34 (pg 68) (look at #'s 1-7 (pgs 53-58) for examples) #'s 51,54,56,58,59,63 (pg 70) (look at #'s 11-15 (pgs 60-65) for examples) Lecture notes from Monday, 3/2/2015 Lecture notes from Wednesday, 3/4/2015 Due: Start of class, Monday, 3/9 ----------------------------------------------------------- Our Second Exam will be on Wednesday, Mar 11. It will cover the material in HW8-HW12 (Bernoulli, Substitution ODEs, Application Problems). The in-class portion of the test will include some problems related to the Bernoulli problems and the v = y/x substitution. The take-home portion of the test will include one problem of each type of application problem (dilution, falling body, population) in HW11-HW12. Some good practice problems for Bernoulli problems in Schaum's are: Chapter 6 Problems 16,17,37-42,53 ----------------------------------------------------------- HW13: R&S Paul's pgs 101-111. Due: Start of class, Monday, 3/23 ----------------------------------------------------------- Test 2: Wednesday, 3/11. If you want to come at 7:30 to give yourself a little extra time for the exam, I will be there! ----------------------------------------------------------- HW14: Be able to do Ex's 1-5 on pgs 108-111. Schaum's Problems 9.17,18,20,22,28 Lecture notes from Monday, 3/23 Due: Start of class, Monday, 3/25 ----------------------------------------------------------- HW15: Be able to do the following Schaum's problems for the cases of the characteristic equation yielding repeated real roots or complex roots: Schaum's Problems 9.20,9.21,9.23,9.26,9.30,9.31 Also be able to do Ex's 1,2,3,4 on pages 112-116 in our text. Also be able to do Ex's 1,2,3 on pages 119-120 in our text. Due: Start of class, Monday, 3/30 ----------------------------------------------------------- HW16: Be able to do Paul's Ex 2, pg 123. Be able to do Paul's Ex 1, pgs 126-7 Schaum's pg 76, 8.5 and 8.6 Lecture notes from Monday, 4/6 Due: Start of class, Wednesday, 4/8 ----------------------------------------------------------- HW17: Be able to do Paul's Ex's 1,2,3,4,5,6,7 pgs 137-146 Schaum's Chapter 11, 11.44 (similar to 11.1), 11.45 (similar to 11.2), 11.46 (similar to 11.3) Lecture notes from Monday, 4/13 Due: Start of class, Wednesday, 4/15 ----------------------------------------------------------- HW18: Paul's Example 8, pgs 147-149 Schaum's Chapter 11, 15-26 (pgs 101-102) Schaum's Chapter 11, 27-36 (pg 102) R&S Paul's Variation of Parameters, pgs 155-160 Due: Start of class, Monday, 4/20 ----------------------------------------------------------- HW19: Paul's Example 9,10, pgs 150-154; Schaum's Chapter 11, #'s 43, 46, 47, 48 Schaum's Chapter 11, problem 36 Full IVC Problem Lecture notes from Wednesday, 4/15 and Monday, 4/20 Due: Start of class, Wednesday, 4/22 ----------------------------------------------------------- HW20: Variation of Parameters Be able to do Ex 23.1 on pages 463-465 from the Variation of Parameters Handout. Be able to do the following Examples from pgs 158-160 of our text: Examples 1,2,3 Do the following problems from Schaum's: 12.1, 12.2, 12.3, 12.4, 12.9, 12.11, 12.12 Due: Start of class, Monday, 4/27 ----------------------------------------------------------- Schaum's Problem 12.2 ----------------------------------------------------------- Material that will be on the final: 1) Be able to solve 2nd order linear homogeneous with constant coefficients (HW14 & HW15) 2) Be able to find the Wronskian of two functions. (HW 16) 3) Be able to solve 2nd order linear non-homogeneous ode with constant coefficients using the method of undetermined coefficients (HW17,18,19). a) a critical part of this technique involves finding the particular solution for different types of the right side of the equation ( g(x) ). There will be several questions where all you do is find the particular solution (like HW 19). 4) Be able to solve 2nd order linear non-homogeneous ode with constant coefficients using the method of Variation of Parameters. I don't care if you use the techniques of the handout in class, where you just solve the system of equations directly to find u' and v', or if you do it like Paul's, where he uses a formula for finding u and v involving the Wronskian. Either method is fine. (HW 20). 5) Since the whole purpose of the class is solving an ode, there will be one problem where you use the method of Undetermined Coefficients or Variation of Parameters to find the specific solution to a 2nd order linear ODE initial value problem. (We did one or two of these in class and there are some in Paul's and Schaum's). You may bring all the trig, integral, and derivative rules from links 10,11, and 12 on our website. You may also bring an additional 5 pages of study notes with you. You will turn these in with your exam. If you want to have that set of notes for future use, you must make an extra copy for yourself.

The final exam for our course (MAT3306.01) is Tuesday, May 5th from 10:00 - Noon.



Return to Rejoice Always Home


Last updated on ... Apr 23, 2012

Created on ... Jan 01, 2012