MAT 3306, Differential Equations, Spring 2016

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

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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 Schaum's problems, Chap 1, #'s 1.1,1.3,1.9,1.15,1.19,1.26,1.44 R&S Paul's pgs 20-33 on Linear 1st order ODEs. ( Some simple examples of linear vs Non-linear Differential Equations ) Lecture notes from Thursday, 1/14/2016 Due: Start of class on Tuesday, 1/19 ----------------------------------------------------------- HW2: Do Problems 3,4,8,13,14,23,30,34 from Schaum's Chapter 5 or 6 (Linear 1st Order ODEs). Make sure you can do each step of each problem on a blank sheet of paper! No reading assignment for today. Sample problem worked from Schaum's chapter on Linear 1st Order ODEs (chapter 5 or 6 - problem 20). Lecture notes from Tuesday, 1/19/2016 Due: Start of class on Thursday, 1/21 ----------------------------------------------------------- HW3: 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! R&S Paul's pgs 34-44 on Separable 1st Order ODEs Due: Start of class on Tuesday, 1/26 ----------------------------------------------------------- HW4: Do examples 1-6 in the Paul's Notes section on Separable ODEs (pgs 34-44). Do the following problems from the Schaum's Chapter on Separable ODEs: (Chapter 3 in the 2nd edition, Chapter 4 in the 3rd) Problems 4,5,6,8,9,23,24,35,37,41,42 Lecture notes from Tuesday, 1/27/2016 Due: Start of class on Thursday, 1/28 ----------------------------------------------------------- HW5: Finish the problems from HW4. R&S pgs 45-63 in Paul's on Exact ODEs. Due: Start of class on Tuesday, 2/2 ----------------------------------------------------------- We will have our first exam over Linear and Separable ODEs (HW1-5) on Thursday, 2/4 ----------------------------------------------------------- HW6: Do examples 2,3,4,5 in Pauls (pgs 45-63). Do the following problems from the Schaum's Chapter on Exact ODEs: (Chapter 4? in the 2nd edition, Chapter 5 in the 3rd) Problems 4,5,26,27 Do Paul's Examples 2,3,4,5 (The Exact ODEs chapter on pages 34-44). Lecture notes from Tuesday, 2/2/2016 Due: Start of class on Tuesday, 2/9 ----------------------------------------------------------- HW7: Finish HW6 Schaum's Chapter 5, Problems 7,8,12,56,60,65. R&S Paul's Text on Bernoulli Differential Equations (pgs 56-62). Lecture notes from Tuesday, 2/11/2016 Due: Start of class on Thursday, 2/11 ----------------------------------------------------------- HW8: Finish all homework problems! R&S our text, pgs 63-70. Lecture notes from Tuesday, 2/2/2016 Due: Start of class on Tuesday, 2/14 ----------------------------------------------------------- HW9: Do the following Bernoulli problems out of Schaums. In Schaums, the Bernoulli problems are included in the Linear 1st Order ODEs (chapter 6 in the third edition, I think chapter 5 in the second). Schaum's Linear Chapter Problems: 37,38,39,53 R&S Paul's pgs 71-75. Due: Start of class on Tuesday, 2/23 ----------------------------------------------------------- HW10: Do problems 47,50,51 in Schaum's Chapter 4 (3rd edition) (the chapter on Separable 1st Order ODEs) For problem 47, find the specific solution if y(1) = 5. For problem 51, find the specific solution if y(2) = -2(3)^(1/2). R&S Paul's pgs 76-88. Due: Start of class on Tuesday, 3/1 ----------------------------------------------------------- We will have our second exam over Exact, Bernoulli and Substitution ODEs (HW6-10) on Thursday, 3/3 You may bring 4 study sheets in addition to your derivatives and integrals sheet. ----------------------------------------------------------- HW11: Do Example 1 in Paul's (pg 77), but use the following numbers in place of those used in the text: A 2000 gal tank with 500 gal of water and 10 lbs of salt to begin with. Water with 2 lbs/gal coming in at a rate of 5 gal/hr. Water going out at a rate of 6 gal/hr. Find Q(t) and the domain of t. Use Q(t) to tell when there will be 12 lbs of salt in the tank. Lecture notes from Tuesday, 3/1/2016 Due: Start of class on Tuesday, 3/8 ----------------------------------------------------------- All of you may have until Thursday to turn in your take-home portion of Test 2 ----------------------------------------------------------- HW12: Do the following problems from Schaum's: (3rd ed. = chapter 7, 2nd ed. = chapter 6) Lecture notes from Tuesday, 3/22/2016 Mixture Problems: #'s 65,67,70 (look at #'s 16,17,18 for examples) Population Problems: #'s 26,27,31,33,34 (look at #'s 1-7 for examples) Due: Start of class on Thursday, 3/24 ----------------------------------------------------------- HW13: Do the following problems from Schaum's: (3rd ed. = chapter 7, 2nd ed. = chapter 6) Moving Objects Problems: #'s 51,54,56,58,59,63 (pg 70) (look at #'s 11-15 (pgs 60-65) for examples) Lecture notes from Thursday, 3/24/2016 Due: Start of class on Tuesday, 3/29 ----------------------------------------------------------- HW14: I put the Excel worksheet up and added Paul's Example 3 ode to a worksheet. The link is below. See if you can modify the Pauls-Ex3 worksheet to demonstrate the results in Paul's text. Lecture notes from Tuesday, 3/29/2016 Excel workbook we used in class today. Due: Start of class on Thursday, 3/31 ----------------------------------------------------------- HW15: Use our excel worksheet to work the following problems: Schaum's Chapter 18 (3rd ed.) or chapter 26 (2nd ed.) Problems 16,35 Due: Start of class on Tuesday, 4/5 ----------------------------------------------------------- HW16: R&S pages 101-111 in Paul's textbook Due: Start of class on Thursday, 4/7 ----------------------------------------------------------- HW17: Do the following SOLHODEWCC (second order linear homogeneous ode with constant coefficients) problems. These all have distinct real roots to the characteristic equation. They are similar to examples 2-5 in Paul's pages 105-111. All of these problems from Schaum's chapter 9 are good examples of this type of problem and make great practice problems: Schaum's Chapter 9: 1,3,5,17,18,22,27,28,29,32 Due: Start of class on Thursday, 4/7 ----------------------------------------------------------- HW18: Do the following SOLHODEWCC (second order linear homogeneous ode with constant coefficients) problems. These all have complex roots to the characteristic equation. They are similar to examples 1-4 in Paul's pages 113-116. All of these problems from Schaum's chapter 9 are good examples of this type of problem and make great practice problems: Schaum's Chapter 9: 7,8,9,10,11,20,21,24,31 Due: Start of class on Tuesday, 4/12 ----------------------------------------------------------- HW19: Do the following SOLHODEWCC (second order linear homogeneous ode with constant coefficients) problems. These all have repeated real roots to the characteristic equation. They are similar to examples 1-3 in Paul's pages 119-120. All of these problems from Schaum's chapter 9 are good examples of this type of problem and make great practice problems: Schaum's Chapter 9: 12,13,14,15,18,23,26,30 Due: Start of class on Thursday, 4/14 ----------------------------------------------------------- Most of the Paul's problems on SOLHODEWCCs are initial value problems. None of the Schaum's problems are initial value problems. I will put some initial value conditions for some of the Schaum's problems of each type over the next couple of days in case you feel you need more practice. Here is a summary of the techniques for SOLHODEWCCs Schaum's Chapter 9 problem types: Distinct, Real Roots: 1,3,5,17,18,22,27,28,29,32 Complex Roots: 7,8,9,10,11,20,21,24,31 Repeated Roots: 12,13,14,15,18,23,26,30 ----------------------------------------------------------- We will have our third exam over SOLHODEWCCs (HW17 - HW19) on Tuesday, 4/19. The exam will cover each type of SOLHODEWCC we have studied. You may bring up to 4 pages of study notes! ----------------------------------------------------------- Some sample IVC problems from Schaum's Chapter 9: 1) For problem 18, let y(0) = -5 and y'(0) = 9. Find c1 and c2 in the solution. 2) For problem 30, let y(0) = 50 and y'(0) = -249.3. Find c1 and c2 in the solution. 3) For problem 24, let y(0) = 5 and y'(0) = -12.0711. Find c1 and c2 in the solution. ----------------------------------------------------------- HW20: Method of Undetermined Coefficients (Paul's pgs 138-154 Do example 8a-e on page 150 of Paul's. Try these problems from Schaum's, chapter 11, pgs 94ff: 15,16,19,21,22,23,25,43,45,50,51 R&S pgs 155-160 in Paul's Due: Start of class on Tuesday, 4/26 ----------------------------------------------------------- HW21: Variation of Parameters 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: 12.3, 12.4, 12.5, 12.9, 12.11, 12.12, 12.13 Due: Start of class, Thursday, 4/28 ----------------------------------------------------------- Final Exam Material: One undetermined coefficients IVC problem (from HW20 problems). One problem similar to Paul's Example 8, pg 147. One variation of parameters IVC problem (from HW21 problems). One variation of parameters with the Yc given to you, (like Paul's examples 1 and 2 on pgs 158-159. One application problem, choose from either the mixture or population problem. Take Home Problem - A falling body problem, given in class. -----------------------------------------------------------



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--------------------------------------------------------------- The final exam for MAT3306.01 (the T/Th 10:30 - 11:45 section) is on Saturday (April 30th) from 3:15 - 5:15 pm in this room. Bring your calculator (NOT a phone, ipad, android, or other internet capable device) and your study sheets. ---------------------------------------------------------------

Last updated on ... Jan 11, 2016

Created on ... Jan 11, 2016