Homework assignments, Calculus I
Section 3 (Janeba), Spring 2009
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Week #1
- Jan. 19:
- Read (yes, really) chapter 1.1 and do exercises
#1,2,5,7,11,14,19,21,23,25,27,51,57
- Note: These are widely varying problems. As we
get "settled
down" in the course, the homework problems will vary less and focus
more (each night) on one or two concepts. This time, it's lots of
different, but little, concepts all at once.
- Give yourself "Diagnostic Test: Algebra" on page xxiv (answers
on
page xxv; grade yourself). Keep your paper, we'll discuss them
later.
- As announced in class, read the syllabus at: http://www.willamette.edu/~mjaneba/courses/ma141-S09/syllabus.html;
there will be a quiz on Wednesday covering the syllabus.
- Email to me, no later than midnight tonight, preferences you
have
(if any) for group partners for group project
1.
Note that you'll need to make a group presentation of your start on the
project by Thursday or Friday, so you'll want to start thinking about
the project even before you get your group assignment. Expect the
list
of assigned groups tomorrow morning, via email.
- Jan. 21: Do chapter 1.1 #45,46, 61,62,65,67,69. Read
1.2, and do #1,2,11,13,17,18
- Jan. 23: 1.2 #3,4,19,20,21ab
Week #2
- Jan. 26: 1.2
- Chapter 1.2 #23a, and for the #23 data, make a linear model
using the first and last points, then use that model to do 23cd,
- Do the "identifying linear and exponential functions"
supplementary problems here.
- Do chapter 1.2 #5,6,7
- Read chapter 1.3
- Jan. 28: Chapter 1.3 #1-3,5,7,9,11,14,15,17,20,25
- [Jan 29: Project 1 due, 4 p.m., Collins 202]
- Jan. 30: Chapter 1.4 #1,3,5,6,9,10,13,19,23,35
Week #3
- Feb. 2: Quiz #1, Read
2.1, Do #1,3,5,7,9
- Feb. 4: Read 2.2, Do #1,3,5,7,13,15,17,21,24
- Feb. 6: Work through mistakes on your quiz (returned today),
catch up, make a plan to come see me in office hours
(note changes to today's
hours sent via email) or see the
tutors, and do diagnostic test C on p. xxvii.
Week #4
- Feb. 9: Read 2.3, do #10,11,13,15,17,21,25,3 [probably in that
peculiar order]
- Feb. 11: Quiz #2. Read
2.5, but you only need to skim a bit this time; the chapter spends a
lot of time working through and justifying what I've called Prof. Janeba's Continuity Fudge.
What you do want to read more
carefully are places where they use that result.
Also, do 2.5 #1,3a,5,15,17,(21,23,31 - use the "fudge" on these), and
37.
- Feb. 13: Read 3.1, do #1,3,5-7,9,13,15,31,33
Week #5
- Feb. 16: Do 3.1 #11,17-19,21,25,27,31
- Feb. 18: Exam #1
- Feb. 20: Do 3.1#39,43, and 3.2 #1,3,5,7,9,17,21,23,25,31
Week #6
- Feb. 23: Read 3.3 (really, it will help), do 3.3
#1-11(odd), 15,19,21,23,26,27,31
- Feb. 25: Quiz #3
- Do the WebWork
Orientation (remember your username is your willamette email
address, without
the "@willamette.edu" part, your password is your student ID
number. You should change your password soon.) This
orientation must be completed by 1:00 a.m. this Friday.
- Review in Chapter 3.3 the Product
Rule and Quotient Rule,
and Do chapter 3.3 #33,37,39,63,65,67
- Feb. 27:
- Do chapter 3.3 #13,17,29,30,32,40 [check the even-numbered ones
using your calculator and the method we learned in class]
- Do also 3.3 #51,69,71,73,75,97
- Read 3.4 and:
- Graph
an approximate derivative of the cosine function using your calculator
and the method we learned in class. What function does this
derivative look like?
- Make yourself a table:
- Beyond sine and cosine, what are the other four
trigonometric functions, and how are they defined?
- What are the derivatives of all six trigonometric
functions?
Week #7
- Mar. 2: Do 3.4 # 18, (funny order, yes), 1,3,5,9,11, 23,25, 31,35
and work on Project
2
- Mar. 4: Webwork
Assignment 1: closes at 1 a.m. Saturday. Also do 3.4 #19, 3.5
#1,3,5,7,9,11,21,23
- Mar. 6: Do 3.5 #25,27,29,31,37,47,63,65
Week #8
- Mar. 9: Quiz #4 [Work on
your project]
- Mar. 11: Do 3.7 #9, 10, 13, 18, 23. Read 3.8 to see more
related rates examples, then do 3.8 #3,2,11,15,20,23
- Mar. 13: Do 3.8 #25,26,27,28,37
Week #9
- Mar. 16: Read 7.2 (yes, really, 7.2, we're taking this one out of
order), all except the last segment
on p. 410 titled Integration,
do 7.2 #3,4,7,11,31,33,37,39,43,47
Last-minute exam review stuff:
On p. 196-199, any
of these that appeal to you:
Any of the concept-check problems EXCEPT #10,11
Any of the true-false quiz EXCEPT #1,7,8
Any of the exercises #1-44 EXCEPT
23,26,29,36,43,
Any of the exercises
#47,51,53,55,59,60,61,63,65,73,77,79
- Mar. 18: Exam 2
- Mar. 20: Read 4.1 (really, there's a lot there, you'd better read
it, especially if you
missed class)
Do 4.1 #1, 3,4,5, 15,17-19, 29,31,33,35
Spring break March 23-27
Week #10
- Mar. 30: Re-read 4.1, do 4.1 #21,23,25,33,35,37,39,45,47,51,53,63
- Apr. 1: Read 4.2, do webwork
assignment #2 (due Fri morning at 1 a.m.) and 4.2
#1,2,7,11,19(model on example 2), 33
- Apr. 3: Quiz #5 Read
4.3, do 4.3 #1,3a,9ab,11ab,27ab,29ab,33ab,35ab,41 [This is
the withdrawal deadline]
Week #11
- Apr. 6: [Project #3 assigned] Do 4.3 #3bc,
9c,11c,27c,29c,33c,35c (refer back to last
time's work for the c's), 21,26,49
- Apr. 8:
- Do webwork
assignment #3. NOTE:
We haven't done the asymptotes yet; so here's
that part of the answer:
Problem #5: put "None" for the asymptotes. Problem #6: put
"y=0" for horizontal asymptote, "None" for vertical. For the
Odd/Even question, see p.19 of our text.
- Do 7.2 #63,65,67 (for 67, at least find intervals of
increase/decrease, local extrema, intervals where the graph is
C.U./C.D., and inflection points)
- ...and catch up on the previous assignments.
- Apr. 10: Quiz #6.
Read the examples in chapter 4.7 and do 4.7 #1,3,9,13,17, at least
through the point of having a function to minimize or maximize on a
known interval. (For #17, p.A12 will be helpful)
Week #12
- Apr. 13: Finish the problems in 4.7 given last time, and do 4.7 #10,11,21,23,31,33,47
- Apr. 15: Student Scholarship Recognition Day (our class does not meet)
- Apr. 16: Project #3 due, 4:00 p.m.
- Apr. 17: Finish up your 4.7 homework and do
webwork assignment #4
Week #13
- Apr. 20: Read chapter 4.9, do #1,3,5,7,11,13,15,19,21,25,27,29,37,57,61, and remember the webwork assignment from last Friday.
- Apr. 22: Quiz #7. Read chapter 5.1, do #1,3,11,13
- Apr.
24: Read chapter 5.2, do 5.1 #15,16, 5.2 #1,3 [Skip the "midpoint sums"
and just do left- and right-hand sums in these],
7,14-16,33ab,35,37.
Some of these will require that you use the
calculator RCTNGL program distributed in class, directions are here.
Also, webwork assignment #5
is on line. Remember, my goal is that this give you a way to pick
up some easy points while preparing for the quizzes/exams - but do start them in enough time that you can still get help if stuck.
Week #14
- Apr. 27: Exam 3 review assignment: From the list below, you should
pick out the types of problems that you need work on and focus
there. Do enough of the others to make sure you're on track.
Chapter 4.1 T-F quiz (p. 282) #1-3,5-7,18,19
Chapter 4.1 review exercises (p. 282-284) #1-3,5,13,16,17,21,25,29,47,53,55,57,59,63,65
Chapter 5.1 review exercises (p. 341- ) #1a, and review your earlier chapter 5 homework.
I've written up some (brief) hints for many of the above.
- Apr. 29: Exam #3
- May 1:
- Read 5.3, examples 1,5,6,7,8 and 5.4, "Applications" (p. 326-328)
- Work through the Chapter 5 review questions
- Do 5.3 #19,21,23,25,29,43, and 5.4 #47,49,50,60,61,64 (when the problem says "use the midpoint rule", use left- and right-hand Riemann sums instead; you'll get a slightly different answer than in the key).
- An optional last webwork set will be posted soon.
Week #15
- May 4: Do 5.4 #19,21,23,27,31,26,29,55
- Notes: You can check your answers to any of these by approximating the integral with the rectangle program.
- Sometimes, just sometimes, multiplying things out is your friend (but usually factoring is better).
- PS: That
sign
you see in problems 1-18, the definite integral sign without the
endpoints of integration, is also called an integral sign. It's
just another notation for "antiderivative."
This only makes sense because of the Fundamental Theorem which shows us
how definite integrals can be evaluated by antiderivatives.
Thus, for example,
3x2+7 dx = x3+7x+C. Don't get confused, though - the definite integral is defined as the thing we approximate with Riemann sums. It's an important discovery (i.e. theorem) that the definite integral and the antiderivative are related.
- Watch the handouts page for an old final exam to use in studying.
- Pre-final exam question-and-answer session Sunday, May 10, 7:00 p.m. in our classroom.
Final
exam: Wednesday, May 13,
2009, from 8-11 a.m.
Links of Interest to Calculus
Students
...from Keith Devlin, editor of the MAA Focus.
Some background on
Also interesting:
Here's some information on calculus
developments from Archimedes (250 BC) through Leibniz and
beyond.
Prof.
Janeba's Home Page | Send comments or questions to: mjaneba
willamette.edu
Department
of Mathematics | Willamette
University Home Page