MAT2705 24F homework and daily class log
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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;
-
@
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.]
-
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
-
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.
-
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]:
-
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.
-
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].
- F:
WEEK 3:
- 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]