Daily Homework Assignments Differential Equations

 

Date Assigned Problems Assigned        Return to Topics                        
Complete Homework Proceduure as Word Document        
7/10=R
Final Exam tomorrow.  See below.  Be sure to bring your integration sheet, undetermined coefficient sheet and Laplace transform sheet with you to class.  (Bring yourself also along with a pencil. HaHA)  Bring a stamped self-addressed envelope if you want a final copy of EMB.
7/9=W
HW: P: 352/7-12, 24-34   (Turn in last project.)  If you get the chance look over the Maple worksheets on Laplace.
Read:  Chapter 14
Final Exam:  Start stidying by going over previous test, then move to back homeworks.  Go through each chapter 1 -10, 13,14 making sure you understand the boxed ideas.(Don't forget Chapter 3: Direction Fields and Chapter 4: Euler's method).  Chapter 5 stops at Gronwall's Inequality p.107.  Chapter 6 stops at Radioactive Decay p. 121.  Chapter 7 stops at Abrupt Change Property p 155.  Chapter 8 stops at Integra curves p. 180.  Chapter 9 stops at Cauchy-Euler Equations p. 204.  Good luck.  
7/8=T
HW: Using the definition of Laplace transform work out 1.) ₤{t²} and ₤{e^(4t)}  P:  352/1,4
Read:  Carefully read the section on Exponential Order starting on p 334
Test:  Test 4 is due at the beginning of class Wednesday.
Last "Project":  Write out all of the steps in the proof of ₤{f(t)u(t-b)} = e^(-bs)₤{f(t+b)} starting in the middle of p. 346.  Due: Thursday
Maple Worksheets: for Laplace transforms and solving DE's with then are now available under Maple Worksheets
 7/7=M
HW:  C: 237/16,20,22 (Note Don't attempt 17 & 19.)  You should try 23 & 24c but they are not assigned.  HW Ans in Word
Read: Chapter 13 expecially where Dr. Becker shows how the Laplace Transform was developed on pp. 319-23.
Test:  The test should be worked using the method of undetermined coefficients where applicable and note 5b should read  "... find L[y1](x)" not L[y1(x)](x)
7/3=R
 HW:  C:209 /(2,8,19 from yesterday),5,10,24;  236/5,7,13;  HW Answers in Word     P:  209/1-24 even  (don't forget typo on #24:  y'' not y''');  236/1-15 odd.  Answers are in the back for even 209  & odd 236.  Be neat, organized and use symbols properly.  Be sure that I can read the number of the problem.  You may access the Maple program I used in class under Maple Worksheets or here: Problem 23 p. 210  as a template to check your answers on the homework.
Read:  Chapter 13 (def  of  Laplace transform.  Do you remember improper integrals from Calc II?)  (Chapters 11 & 12 are not in the syllabus for this course.)
Test:  A takehome test will be passed out on Monday on Chapters 8,9 &10 to be returned at the beginning of class on Wednesday.
Note:  A reminder:  Monday, July 7 is the last day to turn anything in late according to the syllabus.
7/2=W
Read Chapters 9 & 10.  No test Thursday, perhaps next Tuesday.  Note:  We can start doing  homework on Chapter 9.  However, since I said none would be due tomorrow in class I won't collect it tomorrow.  But,  you would be doing yourself a favor if you started some today so you could as questions in class tomorrow.  Here are some to start with  209/2,8,19. Answers in 7/3=R box.   (I sent you an e-mail on this also. 
 7/1=T
HW:  C: Include this homework along with yesterday's and use yesterday's date  /184;1b,6,11,3,5,13,14,23;  P:184/8-26
Read:  Chapter 9.  Look at Chapter 10            HW Answers in Word
Typo p201: Line under equation (26) should read " . . . where c1 and c2 are given . . ."
6/30=M
HW:  C: 184/1b,6,11,  Read Chapter 8 again make sure you understand the method outlined on pp 176-7 and Theorem 2 p.179.  We will go over the total derivative very quickly on page 171.   Start reading Chapter 9.

Project 5:  Starting with the second paragraph on page 178 write down all the steps it takes to arrive at Theorem 2 on p179.  Equations in the left-hand column, reasons in the right-hand column, as described in class.  You are to do this in conjunction with 1 or 2 other persons.  Secretary should be the first name on the paper and is due in class on Thursday.

Very Important Note:  Typo p177:   On the second last line of page 177 starting with "Setting this..."  it is written Fy(x,y)  should be written as Fx(x,y)
6/27=F
Seriously read:  pp147-8, 152-3  Get Dirac Maple Worksheet as PDF file
Read ahead Chapter 8 (& start 9  "Linear Operator")
6/26=R
HW:  C:163/1b,2  (Word problem as group project due Friday)     (HW answered in class.)
Test: Chapters 4 & 5 (not on 6 yet) and on taking partial derivatives (from Chapter 8)   (Nothing on Chapter 7 yet)
Note:  Correction to error on white board at the end class:  Click here for Word Document
6/25=W
HW:  C: 137/4 work with a friend or two and due Friday.  Assignment will be due as a group.
Read:  Chapter 7 pp.143-157top.               (HW answered in class.)
 Worksheet MSW4  due Thursday!
6/24=T Course is half over!
HW:  C: 111/12,18,23,24     P: 111/15-24     HW Answers in Word
Read:  Be sure to understand Theorem 1 on p. 106;  Chapter 6 pp. 115-120.  Look at 137/3.
 Worksheet MSW4                          Copy of last problem done in class
6/23=M
HW:  C: 111/4-8, 9-11;  P 111/1-8,14     Study pp. 99-100     HW Answers in Word
Read:  Chapter 5 to Gronwall    
Worksheet: Do worksheet MWS#4, due Wednesday noon and also "Additional Euler Problems" on your own.
Note:  Answer to Test 2 #11 now available as PDF File.
6/20=F
HW:  C:  91/3,4;  Review Chapter 4 and Preview Chapter 5      HW Answers in Word
6/19=R
HW:  C: 77/2,4 & MWS3: Direction Fields (It is 77/4);  WS3  is due noon 6/21=Sa    
HW Answers in Word   HW Maple Answer
Test Friday:  Covers Chapter 2 &3 inclusive.
Topics:  1) Solve DE's variables separable  with and w/o initial conditions by hand & by computer ((bring your floppy disk with the Maple* setup on it));  2) Direction  Field definiton;  4) Direction  Field problem by hand and  by computer (bring your floppy disk (same as in (1) above) with the Maple* setup on it );   5)  Three or four problems total on Integration by Parts & Partial Fractions;  6) Question(s) relating to "Snowplow problem;"  7) Lenght of curve problem.

Note:  Test will begin at 9:10 and will end at 10:00.  However Maple problem is to be sent by e-mail with a time stamp no later than 10:15 approx.
*  Class Problem For Solving DE w/Maple and Direction Field (Chapter 3) (Example)  would be more than sufficient for the Maple disk..
Test Answer Link is now working.
PowerPoint notes on Direction fields now available.
6/18=W
Do not do the homework I assigned in class for tomorrow (you can if you want but I will assign it again tomorrow).  I did not get to work an example and you may get confused.  Be sure to work on the "snowplow" problem and start reading the "drag force" problem p. 72.  You can start MWS3: Direction Fields.
6/17=T
C: 61/26,30,44,45;    P: pp. 61 - 62;    Work on Snow Plow 63/48 for class discussion.
MWS 2: Solving Variables  Separable DE's  due Thursday, noon.     HW Answers in Word
6/16=M
C: PF/27,30,31,35;  60/2,3,12,17;       P: Partial Fractions sheet
Read Chaper 2 and look over Chapter 3   HW Answers as Word Document
6/13=F
1.)  Carefully read  pp 12-20 Length of curve problem, and
2.)   pp 36 -37 Example 15
3.)   Read through Chapter 2 and preview Chapter 3
6/12=R
Problems: C: 39/25,26,31,32, Par.Frac.Sheet/22,23,27;   P: 39/35-42                       HW Answers as Word Document
Test Friday on Chapter 1:  Know basic definions.  Be able to differentiate, integrate and solve simple variables separable D.E.  Also be able to set up simple word problems as in the homework.
6/11=W
Read example 15 and its solutionp. 36
       Problems: C: 40/45,50  Int by Parts sheet/4,6,10,30;   P: Some problems from each setion of Int by Parts sheet.
6/10=T
Read pp 11 - 37 be sure to read the word problems.
 Problems:  (C)orrected: 38/1,8,13,15,21,22;  (P)ractice: 38/1 - 8, 13 -15, 19 - 24
(Excuse my getting these up late but I have to attend the other class and WebCT and do some timed work.)
6/9=M Read pages 1 -- 11 in text;  Work the problems on the review sheet to be turned in.



Basic Homework Procedures

1.  Use lineless 8.5" by  11" paper

2.  Show all necessary work providing clear, yet concise explanations.

3.  Use a straightedge to draw straight lines.  Quadrille paper is required for graphs; label axes and the scale marks and 
     points as is appropriate.

4.  Staple all work together;  paper clips and dog-earing are not acceptable.

5.  Place your first and last name, course and section, date assigned and section /problem numbers  in the upper 
     right-hand corner.