Week 1
Monday
During Class, load the Maple
file
Assignment for Tuesday: P248 - 23,35,48,49,53,56,57
Reading Assignment for Tuesday: Read 4.1 and skim 4.2.
Also, in Maple, look at the help for the leftbox and leftsum
commands (you will first need to type with(student)).
Tuesday
During class, we will work on WorkSheet
1.
Assignment for Wednesday: P250 - 60,63,64,67 P260 - 1,4,9
Reading Assignment for Wednesday: Read 4.2 Also if
you didn't look at the leftbox and leftsum commands yet,
do so.
Wednesday
During class - working with sums
Assignment for Thursday: P 250 -70,71 P260 - 42,43 (for these two problems read eg 4 on page 257 to find formulas for sums which you will need), 56 P271 - odd problems between 1 and 19.
Reading assignment for Thursday: Read 4.3
Thursday
During class - more on the definition and applications of the definite
integral
Assignment for Friday: P 250 - 72,73 P271 - 21, 23, 32, 43
Reading assignment for Friday: Read 4.3 again and skim 4.4
Friday
During class - will summarize and answer questions over the definition
and applications of the definite integrals.
Also begin the discussion of the FTC, the fundamental theorem of calculus.
Assignment for Monday: P250 - 73 P271 - 45, 51,52
Reading assignment for Monday: Read 4.4 at least twice.
Monday
Quiz over material so far - will include a ball throwing problem, antiderivatives, and Riemann sums
During class - discuss the FTC
Assignment for Tuesday: Page 283 - 1,2,3,4,19,27,35,41,43
Reading assignment for Tuesday: Read 4.4 again
Tuesday
During class - More on 4.4
Assignment for Wednesday: Page 283 - 51-58,61,66
Reading assignment for Wednesday: Read 4.5 -be sure to look carefully at the examples. Most of this material is simply using your differentiation skills to find antiderivatives.
Wednesday
During class - first a WS over antidifferentiation. Then some more practice and we'll try again.
Assignment for Thursday: Page 283 - odd between 66 and 84 Page 296 - 1-6, odd between 10 and 22.
Reading assignment for Thursday: Read 4.6
Thursday
During class -
Quiz 2: 10 minutes: State and Prove one of the two fundamental theorems
of calculus.
Quiz 3: 15 minutes: Apply the FTCs to some examples.
Discussion of section 4.6
Assignment for Friday: First look at the two Maple files which
illustrate how to derive the Trapezoidal
Rule and Simpson's
Rule.
Problems to hand in: Page 296 - 47, 51, 59, 67, 79, 83.
Page 304 - 1 (by hand), 11 (use Maple with several values of n).
Reading assignment for Friday: Read 4.6 again.
NOTE: Please bring your laptop to class (or at least know someone who is) on Friday.
Friday
During class - Questions over the previous quizzes.
Assignment for Monday:
I. (a) Use the fundamental theorem of calculus to show that if
f(x)=4/(1+x^2) then the definite integral of f(x) form 0 to 1 is equal
to pi.
(b) Apply leftsum, rightsum, middlesum, trapezoidal rule, and Simpson's
rule to f(x) on the interval 0 to 1 for the values of n=4,8,16,32,64, and
128. (this should all be done with Maple). Please put
your results in a nice table.
II. Page 304 - 27 <-- Be able to do this (recall that we are
having a test next Thursday)
III. Page 304 - 41
Reading assignment for Monday: Read 6.1
NOTE 1: There will be a retake of Quiz 2 during the first 10 minutes of class on Monday. If you are satisfied with your grade on Quiz 2, then show up 10 minutes late. There will be 2 questions as before, but on Question 1, I will ask you to state both Fundamental theorems. Question 2 will be to prove one of the two fundamental theorems. You don't have to give justifications for everything, but if you use some theorem (eg the mean value theorem), you should say so. Also if you say that a limit is equal to something, you should say why. Also I may have written something like "hypothesis" when I graded question 1. This means that you should give the hypothesis of theorem as well as the conclusion. That is, state the theorem as If...... Then.....
NOTE 2: Since we are having a test on Thursday, this weekend would be a good time to review what we have done. You could use some of the exercises in the review exercises, page 306, as practice problems.
Monday
Quiz 2 retake (10 minutes) - Question 1 will now be: State both fundamental theorems of calculus . Question 2 will be to give a proof of one of them.
During class - Discussion of 6.1 and hand out a practice exam for Thursday's exam.
Assignment for Tuesday: Page 306 - 10,13,19,20,53,57,65,70-74; Page 413 - 29,32
Reading assignment for Tuesday: Read 6.2
NOTE that I have two more Maple documents that might help you with syntax and problem solving. The first shows the syntax for the trapezoidal rule and Simpson's rule, and the second has a few examples of finding the area between two graphs.
ANOTHER NOTE: Either bring your computer to class or know someone who is bringing one. We will need to do some heavy duty graphing.
Tuesday
During class - worksheet on area and volume.
Assignment for Wednesday: Page 306 - 68; Page 413 - 35, 37; Page 423 - 3,5, 7,13
Reading assignment for Wednesday: Read 6.2 again and start reviewing for the exam.
Wednesday
During class - Questions over any of the material that will be covered on Thursday's exam.
Assignment for Thursday: Study for exam 1. You are responsible for all the material up to and including section 6.2. However, problems similar to examples 6-7 in 6.2 will not be on the exam.
Thursday
During class: EXAM 1 -- will cover everything up to and including 6.2. However, problems similar to examples 6-7 in 6.2 will not be on the exam.
Assignment for Friday: Page 423 - 51, 55 a,b
Reading assignment for Friday: Look at the pretty pictures in 6.3.
Friday -- Last day of class before the holidays
During class - Discussion of 6.3
Assignment for Monday: None - Enjoy the break.
Reading assignment for Monday: None
Monday
During class - Worksheet on 6.2 and 6.3.
Assignment for Tuesday: Page 425 - 55 c; Page 432 - 8,11,20
Reading assignment for Tuesday: Read 6.3 again 6.4.
Tuesday
During class: Work on more applications of the integral.
Assignment for Wednesday: Page 432 - 15,18,19,21
Reading assignment for Wednesday: Read 6.4 again
Wednesday
During class: Work on more applications of the integral. If time permits, begin working on some integration techniques.
Assignment for Thursday: Page 432 - 22,33,36,37; Page 442 - 7,9,13
Reading assignment for Thursday: Read 7.1 (this is not a long section but it does review some of the basic integration techniques which we have already covered).
Thursday
During class: Techniques of integration.
Assignment for Friday: Page 442 - 27, 28, 29 (use parametric equations), 37, 38; Page 451 - 9; Page 668 - 37,42
Review applications of the integral for Friday's quiz. You need to know area, distance, volume, and arclength. You are also responsible for the derivation of the formula for arclength.
Friday
During class: QUIZ over applications of the integral.
More on integration techniques, reviewing some techniques in 7.1 and
beginning integration by parts in 7.2.
Assignment for Monday: Page 479 - 1,2,3,4,6,7,10,11,13,18,21,23
Reading assignment for Monday: Read 7.1 and 7.2. Be sure to read the examples 1, 2, 3 and 4 in 7.2.
Monday
During class - More on integration by parts. Begin 7.5 on partial fractions
Assignment for Tuesday: Page 487 - 1,3,5,7,9,11,13,15,23,25
Reading assignment for Tuesday: 7.2 again.
Tuesday
During class: WorkSheet 5 and begin 7.5
Assignment for Wednesday: Page 488 - 61,63,75a-c
Reading assignment for Wednesday: Read 7.2 and 7.5.
Wednesday
During class: More on partial fractions.
Assignment for Thursday: Page 515 - 1-6, 7,9,11,19
Reading assignment for Thursday: Look below at the topics which exam 2 will cover. Be sure that you know what each topic means. Thursday is the day to ask.
Thursday
During class: Have some questions which we can use as review for exam 2.
Assignment for Friday: Study for exam 2
Friday
During class: EXAM 2
You may use your computer but it will be restricted to a blank Maple sheet.
The exam will cover
Applications of the integral:
- distance (total and net)
- volume (disk,shell, and problems like #55, page 425)
- arclength (graphs generated by y=f(x) and parametrically.
Also responsible for derivation.)
Integration by Parts ( be able to write formula and show steps by hand)
Partial Fractions (Be able to find the PFD of this type of function
(2x-1)/(x^2 -3x+2) by hand)
Reading assignment for Monday. 7.8
Assignment for Monday: Page 515 - 20,21,28,29; Page 540 - 13,14,23,24
NOTE: MIDTERM GRADES were determined by 15% HW, 15% Quizzes, 35% Exam 1, 35% Exam 2
Monday
During class - WorkSheet 7 - A little more on improper integrals.
Assignment for Tuesday: Page 540 - 7,8,17,26,27, 29, 31,35
Reading assignment for Tuesday: Pages 352-353,
Tuesday
During class: Properties of the exponential function
Assignment for Wednesday: Page 354 - 53,55,57,63,64,66,82
Reading assignment for Wednesday: Read Page 358 (3 times)
Wednesday
During class: Quiz over (1) partial fractions, (2) integration by parts,
(3) a few improper integrals.
More on Differential Equations
Assignment for Thursday: Page 354 - 85-90 ; Page 363 - 1,2,3
In addition to the text problems, use the Maple commands listplot
and display (see the Maple
doc for examples) to display the difference in using quarterly and
continuous compounding at 8% annual interest over a 2 year period of time
(do this with initial values of $100, $1000, and $10000).
Reading assignment for Thursday: Read 358-360
Thursday
During class : Will work some more separation of variables problems.
Assignment for Friday: Page 363 - 4,5,6, 7,8,11,12,13,15
Also use the Maple
document to produce a direction field of dy/dx = 4 - 2x
which also includes the solutions starting at (0,4) and (0,1).
Reading assignment for Friday: Read 5.6
Friday
During class: Quiz 6 (no Maple or calculator) over (1) continuous compounding of interest - be able to go from A(t+delta t)-A(t)=.... to A(t)=ce^(rt)) and (2) Solving DE's using separation of variables (general solution and IVP).
Assignment for Monday: Page 364 - 21,22,23,27,39,40,46,56,57
Reading assignment for Monday: Read 5.6 again (especially the examples)
if you still feel uncomfortable with this material.
Week 7
Monday
NOTE: The Word
Document contains a list of topics that you need to know for this section
on differential equations.
During class - Hand out practice proficiency quiz for integration.
Please see course description for grading policy.
Section 5.7 (skip pages 370-371)
Will work on WorkSheet 8
Assignment for Tuesday: Study for Proficiency Quiz 1
Reading assignment for Tuesday: None
Tuesday
During class: Proficiency Quiz 1 (about 20 minutes)
Work on WorkSheet 9
Assignment for Thursday: Take Home Quiz 7 due
Wednesday No Class -- Work hard on Quiz 7. I expect
these to be perfect. There will be very little partial credit.
Thursday
During class Hand in Quiz 7.
Hand back Prof Quiz 1.
Work on WorkSheet 10.
Hand out Quiz 8 - due Monday.
Assignment for Friday: Those who failed the integration proficiency quiz, study for Integration Prof Quiz 2 which will be given on Friday. Those who passed can begin working on Quiz 8
Friday
I will be out of town on Friday so I asked a colleague to give Integration Prof Quiz 2 to those who did not pass Integration Prof Quiz 1. Those who passed need not come to class.
Assignment for Monday: Hand in Quiz 8 on Monday. I expect your solutions to be perfect. There will be very little partial credit.
Monday
During class - Complete WS 10 and look at some modifications.
Assignment for Tuesday: Review the last couple quizzes and worksheets. Nothing to hand in.
Tuesday
During class: WorkSheet 11
Assignment for Wednesday: Study for Wednesday's in class quiz which will cover material similar to the material on the last few quizzes and work sheets.
Wednesday
During class: Quiz 9 -- There will be two parts (one without Maple and the other one with Maple).
On the Without Maple part, you will be asked to do a partial fraction decomposition, an integration by parts, derivation of the solution of a DE, solve a number of straightforward DEs, and set up at least one DE from some physical setting.
On the With Maple part, you will be given a number of word problems.
After Class: Integration proficiency quiz 3
Assignment for Thursday: You can relax this evening!!
Thursday
During class: Hand back quizzes and do some salt tank problems.
Assignment for Friday: Go back over the last few quizzes and worksheets
and do 5 problems that you had trouble with.
Friday
During class: WorkSheet 13 - more on IF, the integrating factor.
Assignment for Monday: The back of worksheet 13 will have some homework problems which are due Monday.
Reading assignment for Monday: Go over the past few worksheets and quizzes. Make sure that you do not have any questions. I would like to use Monday to answer questions over this material. Remember that we have an exam on Thursday.
Monday
During class - Work on WorkSheet 14
Assignment for Tuesday: See back page of WS 14
Reading assignment for Tuesday. Make sure that you start reviewing
for Thursday's exam.
See Monday, Week 7, for a Word document that contains a list of topics
you need to know for exam 3.
Tuesday
During class: Answer your questions and work on a parachute problem.
Assignment for Wednesday: Start studying for the exam. Look at the old quizzes and worksheets. Go through and look for questions that you had trouble with.
Reminder: Did you all respond to the questions about our web site??
Reading assignment for Wednesday: Read
Wednesday
During class: Answer students' questions.
Assignment for Thursday: Study for exam 3!!!!
Thursday
During class EXAM 3
Note that you will not be allowed to use Maple on this exam. Topics
will include
-- Solving DEs using separation of variables and the integrating
factor technique
-- Knowing the solution to x'=ax
-- Set up and solve one problem (the form of the DE will probably
be x'=ax or x'=ax+b)
-- Set up but not solve - 3 problems
-- Phase Planes (i.e. direction fields)
List of applications which you should know: bacteria growth, radioactive
decay, salt tank, Newton's Law of cooling, interest rate problems, falling
body.
Assignment for Friday: Hand it the Homework assignment that was due on Tuesday.
Friday
During class: Do a little more with direction fields (also known as phase planes).
Assignment for Monday: Find the trivial solutions (also known
as critical points) and determine stability of each for the following DE's.
In addition to doing the algebra to find the critical points, use Maple
to produce a direction field so that you can see the trivial solutions.
a) y' = 4-2y
b) x' = x^2 -3x+2
c) x' = -x^2 +3x-2
d) y' = y^2-5y
e) x' = sin(x)
Also hand in from old finals: Page 1, # 4, #7, #8
ALSO BEGIN THE at-the-board work:
Katrina - Page 1, #1
Alan - Page 1, # 3A
David - Page 1, # 3B
Lucas - Page 2, # 12A
Steven Corbin - Page 3, #5a,c
Matthew Crain - Page 4, 12
Monday
During class - Students present problems at board.
Assignment for Tuesday: Page 3 - 2, 3; Page 8 - 6, 7
At-the-board work for Tuesday:
Kyle - Page 7, #1 a and b
Justin - Page 7, #1 c
Stephen - Page 7, #2
Dunbar - Page 4, #10
Todd - Page 7, #4
Jarrod - Page 8, #5
Tuesday
I have linked two Maple files which give commands to solve differential equations. The first one shows the syntax for ordinary DE's and the second one gives commands which solve DE numerically.
During class - Students present problems at board.
Assignment for Wednesday: Page 1, #3; Page 3, #4c; Page 9, #10, #12
At-the-board work for Wednesday:
Ryan - Page 11, #1
John - Page 11, #2
King - Page 11, 4
Klues - Page 11, #5a
Craig - Page 12, #6
Chris - Page 12, #7
Wednesday
During class - Students present problems at board.
Assignment for Thursday: Page 8, #5; Page 12, #10a,b; Page 13, #1,#2
At-the-board work for Thursday:
Angela - Page 13, #3b
Damon - Page 13, #3a
Christie - Page 13, #2
Joel - Page 13, #1
Richard - Page 14, #7
Nikolaos - Page 14, #8
David W. - Page 13, #4b
Thursday
During class - Students present problems at board.
Assignment for Friday: Page 14, #7, #8; Page 15, #1; Page 16, #10,11,12
At-the-board work for Friday:
Nathaniel- Page 15, #1
Scott - Page 15, #2
Sean - Page 15, #3
Tim - Page 16, #8
Bret t - Page 16, #9
Pat - Page 16, #10
Matt N. - Page 16, #11
Friday
During class - Students present problems at board.
LAST TIME TO ASK QUESTIONS!!!
WEDNESDAY, February 24, 6 p.m. FINAL
EXAM