MAT2705 24F homework and daily class log doing homework

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Daily lecture notes and your homework will appear here each day as it is assigned, including some PDF and/or Maple problem solution files or PDF notes, with occasional links to some MAPLE worksheets when helpful to illustrate some points where technology can be useful. [There are 56 class days in the semester, 4 each normal week, numbered consecutively below and  labeled by the (first initial of the) day of the week.]

It is important that you read the section in the book from which homework problems have been selected before attempting them.
It is your responsibility to check homework here since most but not all homework exercises are online in the MyLab Math portal entered through BlackBoard. Homework hints and some textbook exercise solutions are also found here. You are responsible for requesting any paper handouts or returned tests or quizzes from classes you missed. Homework is understood to be done by the  next class meeting (unless that class is a test, in which case the homework is due the following class meeting), but the online deadline will be stated as midnight of the due day so that you have time in class or after to ask questions that you did not submit via the Ask Your Instructor online tool. You may correct submitted homework after the deadline without having to request an extension. You have unlimited tries.
[[A few occasional homework problems surrounded by double square brackets [[...]] are not in the online homework system but are important to do or at least read.]]

Read:  HOMEWORK ADVICE;

  1. @ M:  (August 26)
    DURING CLASS:
    Lecture Notes 1.1a: Differential Equations: how to state them and "check" a solution;  << READ THIS PLEASE!
     summary handout: odecheck.pdf  <<< this is all you need to do the HW but please read section 1.1 of the textbook, summarized in my four pages of lecture notes.

    We will enter together the e-text MyLab Math portal and homework software inside the Content page of BlackBoard (Pearson materials) , as explained in the welcome email message! Please be ready for this by having connected your BlackBoard course to the e-portal, creating a Pearson account in the process.

    New to Maple 3 minute video [also in opening screen of Maple]
     
    AFTER CLASS (THIS IS THE HOMEWORK):
     1) Log in to My Nova, choose the Class Schedule with Photos, view fellow students.
    2)     Go to BlackBoard and look at the class portal and Grade book for our course: you will find all your Quiz, Test and Homework grades here during the semester once there is something to post. Everything else we do apart from accessing our e-portal will take place through our course website.
    3) Make sure you have Maple 2024 on your local computer, available by clicking here  if you haven't already done so, and install it on your laptop when you get a chance (it takes about 15 minutes or less total), If you have any trouble, email me with an explanation of the errors. You are expected to be able to use Maple on your laptop when needed. We will develop the experience as we go.
    If you have any trouble, email me with a copy of your worksheet and an explanation of the errors. I can also help you in person.
    You are expected to be able to use Maple on your laptop when needed. We will develop the experience as we go.
          No previous experience is assumed.
    4) Enter the e-text MyLab Math Pearson portal if you have not already done so, as explained in the welcome email message!
    5) Homework Problems: 1.1: 3, 5, 13, 33
    (only a few problems so you can check out our class website and read about the course rules, advice, bob FAQ, etc, respond with your email).
    6) By the end of the week, reply to my welcome e-mail from your OFFICIAL Villanova e-mail account (which identifies you with your full name), telling about your last math courses, your comfort level with graphing calculators and computers and math itself,  how much experience you have with Maple if any (and Mathcad if appropriate) so far, why you chose your major, etc, anything you want to let me know about yourself that will give me more of an idea about you as a person. [For example, I like to do humorous sketching. and cooking.] Tell me what your previous math course was named (if at VU: Mat1500 = Calc 1, Mat1505 = Calc 2, Mat2500 = Calc3).
    [In ALL email to me, try to include the string "mat2705" somewhere in the subject heading if you want me to read it quickly. I filter my email.]

  2. T: Lecture Notes 1.1b: Differential Equations: initial conditions
    [extra: initial data: what's the deal?]; [gravity fall example]
    1:1: 8, 23 [see Maple plot (execute worksheets by clicking on the !!! icon on the toolbar when necessary)];
    formulating DEs: 27 [as in 29 below: make a generic diagram like this one to calculate the slope of the tangent line and set it equal to the derivative .mw; namely the change in y over the change in x between these two points (x,y) and (y,-x) equals dy/dx],
    31, 35, 43;  perhaps in class together:
    [[29. Hint: recall perp lines have slopes which are negative reciprocals, the normal line is perpendicular to the tangent line and passes through the same point on the curve; make a diagram of the given point (0,1), a "generic" function graph curve whose normal at a point (x,y) on the curve passes through (0,1), and draw in the connecting normal line segment between these two points and the perpendicular tangent line, then compute the slope of the normal line from the two points, and then from the negative reciprocal of the derivative value, finally equate the two to get the DE: mw ]].

    New Maple users? I would be glad to show you one on one in my office how to get started.

    [memorize!: "A is proportional to B" means "A = k B" where k is some constant, independent of A and B]
     Proportionality statements must be converted to equalities with a constant of proportionality introduced:
     y is proportional to x:  y ∝ x  means y = k x . [y is a multiple of x]
    y     is inversely proportional to x:  y ∝ 1/x  means y = k/x .
    y     is inversely proportional to the square of x:  y ∝ 1/x2  means y = k/x2

  3. W:  Quiz 1 on checking solutions to DEs, paper copy handed out in class  (read Test/Quiz rules): due in class Monday;
    Lecture Notes 1.2: First order DEs independent of the unknown
    [finding particular antiderivatives interpreted as solving a first order initial value problem illustrated by textbook example problems:
           lunar landing example: mw, optional: Swimmer problem example: mw]
    1.2 (antiderivatives as DEs): 1, 5, 15,
    21 [Hint: write piecewise linear function from graph: v1(t) for first expression, v2(t) for second expression, solve first IVP for x1(0) = 0, second IVP for x2(4) = x1(4); example: pdf, mw],
    25 (like lunar landing problem example above), 35, 
    together in class:
    41 (first solve bomb drop IVP, evaluate time when it arrives at y = h (target height),  then solve projectile IVP with unknown inital velocity, then impose that it  reach height h at the given time: game plan)
    [[    important lesson on choice of units not in MyLab: 43, convert final answer  to appropriate units!]].

    Send me the email about yourself with your schedule attached please if you have not already done so.
  4. F: Quiz 1 on checking solns to a DE (see archives)
    Lecture Notes 1.3: First order DEs; Direction (= slope) fields and complications
    [directionfields.mw] [ode1-complications]
    1.3:  [use directionfields worksheet to plot:] 3, 5,
    11, 15;
    [[in class plus HW drawing exercise: 1.3: 3: hand draw in all the curves with a pencil on the slope field printout.

    M: Labor Day

    WEEK 2[-1]:
  5. T: Lecture Notes 1.4a: Separable first order DEs
    [example 1: only implicit soln]
    1.4 (separable DEs): 1, 4, 9 [use Maple for antiderivative! add absolute value signs for ln integrals],
    25,  27 [first expand exponential into 2 factors e^(A+B)=e^A*e^B], 29.

  6. W: Lecture Notes 1.4b: Separable first order DEs
    handout on exponential behavior/ characteristic time [cooking roast in oven remarks]
    [how to choose exponential plot window];
    1.4: 33, 35,
    41 [hint: first we need to evaluate the fraction of the total U + L which is only U, namely U/(U+L)],
    45 [attentuation of signal--characteristic length],
    49 [cooling problem].

  7. F:

    WEEK 3:
  8. M:

 

Test 1: week 5? Tuesday
Test 2: week 9? Tuesday
Test 3: Take home out-in  week 12?

FINAL EXAM:  (not cumulative)
2705-06 MWF/T 11:45: Tues, Dec 17 8:30 am - 11:00 am
2705-07 MWF/T 12:50:  Fri, Dec 20 2:30 pm - 5:00 pm
[switch okay with permission]

Homework assignment catch up possible till end of exam period,
notify me if you are still working at it towards the end of exam period.

                          MAPLE and G.Calc. CHECKING ALLOWED FOR QUIZZES, EXAMS

16-jun-2024 [course homepage] [log from last time taught]