Matthew R. Gamel
Spring 2007
Welcome to Math 142! Be sure to check this page frequently for homework, announcements, and other assignments.
The department's website for the Maple labs is located here.
Course Announcements
Please be aware that the most recent announcements will appear on top.
- 26 April 2007: The review session on Tuesday, May 1 will be conducted in our normal place of meeting.
- 25 April 2007: The final exam will be held on Monday, May 7 at 5:30PM. As we did not have a third exam, about 60%
of the exam content will be on sequences and series in Chapter 10 up to section 10.8. Section 10.9 will not be covered. The
remaining part of the final will be cummulative and I will allow you to use your textbook and your notes. Quiz 9 was the
last quiz so there will be three homework assignments in which you have not been quizzed (homeworks 23, 24, and 25). Be sure
to do these homeworks! If you have questions, please ask me.
Also, we will have a review session on Tuesday (May 1) of next week (a reading day). We will meet at 1:00PM in, hopefully,
our usual meeting place. I will, however, need to schedule the room so it is possible that the room might change. I will be
happy to reteach and review material and/or work questions pertaining to homework assignments.
- 4 April 2007: Today (Wednesday, April 4) there will be no recitation due to illness. There will, however, be class
tomorrow. If I am unable to attend class due to illness, there will be a substitute.
- 3 April 2007: There WILL NOT be a quiz this comming Thursday (April 5). Rather, spend this time studying the
material I present today as we will be covering quite a bit. Also, I have been sick so please note that I may need extra
time to grade the exams.
- 20 March 2007: I hope that everyone had a safe, restful, and fruitful spring break. Remember: Thursday's quiz will be
over partial fractions (Homework #14). Also, Exam 2 has been moved from next Tuesday to next Thursday
(3/29/07)! The exam content will remain the same; see the announcement for March 7 for more information concerning
the topics to be covered.
- 7 March 2007: Our second exam will be held on Tuesday, March 27 (this is two weeks from next Tuesday). It will cover
everything we did in chapter 8 including: algebraic manipulation of integrals (i.e. dividing, completing the square, etc),
integration by parts, integrals of trig powers, trig substitutions, partial fraction expansions, numerical integration, and
improper integrals (we have not started this yet). Do not wait until the last minute to begin preparation!
- 1 March 2007: Quiz 6 (next week) will cover trig powers and trig substitutions (Homework #13). It won't cover partial fractions
but you should NOT wait until the last minute to begin Homework #14. Also, you will need a basic scientific calculator for next week. Because
you will probably need a calculator for the upcomming exam, you must let me know if you intend on using a graphing calculator because I
will not permit usage of certain models of graphing calculators on the exam.
- 15 February 2007: This announcement is important: the last day to drop
this class with a grade of W is Monday, February 26. After this date, you will be assigned a grade of
WF by the registrar (I do not have the power to assign W or WF). If you are concerned about your grade in this course
thus far, please contact me ASAP!
- 13 February 2007: Be sure to begin Homework #8! Our next quiz will be on Thursday, 2/22/07 (one
week from this comming Thursday). You will be quizzed over problems similar to those in Homework #8.
- 31 January 2007: Exam 1 will be held on Thursday, February 15. It will cover integration by substitution
and everything we have discussed in Chapter 7. This will include: (a) areas between curves (b) volumes of solids of
revolution using cross sections, disks/washers, and shells (c) lengths of curves (d) average value (e) and fluid forces/pressure.
Do not wait until the last minute to prepare!
Quiz 4 will be held next Thursday (2/8) and will cover lengths of curves (section 7.4) and average value (section 7.6).
- 26 January 2007: Quiz 2 will be next Thursday (2/1) in lecture. It will cover
volumes of solids of revolution using disks, washers, and shells (sections 7.2 and 7.3).
- 19 January 2007: Quiz 1 will be next Thursday (1/25) in lecture. It will cover
integration by substitution and finding areas between curves (section 7.1).
- 17 January 2007: The final for this course will be on Monday, May 7 at 5:30 PM. Presumably,
it will be held in the room where lecture is given (LeConte 115)
- 16 January 2007: Please be sure to read the syllabus and ask questions
if necessary.
Email: gamel@math.sc.edu
Office: LeConte 104B
Spring 2007 Office Hours:
| Tuesday
|
4:20-5:20 PM
|
| Wednesday
|
4:20-5:20 PM
|
| Thursday
|
4:20-5:20 PM
|
Your SI instructor is Heather Kjelgaard. She will hold review sessions immediately after lecture
on Tuesday and Thursday from 7:00 -8:00 pm and on Wednesday from 9:00-10:00 pm.
Here are the various course downloads. You will need some way to view PDF files
(ie. Acrobat for Windows/Mac users, XPDF for UNIX). If you have trouble reading these files,
please contact me ASAP!
Please remember that homework will not be collected. Rather, I will choose quiz problems that are either
directly from the homework or similar to homework problems. It is extremely important to work these
problems and ask about them if you get stuck.
Note: The dates indicate the day that the homework was assigned. These will typically
be given each time we meet for lecture. You should strive to complete the week's assignment
within the week. The quiz will cover the previous week's assignment.
Highlighted assignments indicate those assignments which should be completed. You should feel relatively
comforable with the assignments that have been highlighted. Please see me or your SI instructor if you need extra
help.
| Assignment
|
Date
|
Description
|
| #1 (Week 1)
|
1/16/07
|
Do the following exercises from section 2
in the handout I gave: 1,2,4,5,8.
|
| #2 (Week 1)
|
1/18/07
|
Do exercises 1 (a)-(i),2, and 3 on the
handout I gave (in section 3 on integration by substitution). Also in section 7.1 of your textbook, do exercises
1-4,8,9,11,13,15 and 19-21 (you may need to use Maple to plot some of these).
|
| #3 (Week 2)
|
1/23/07
|
Do the following exercises in section 7.2
(disk/washer method): 1-4, 7-16, 19-26, 35-38, 43
|
| #4 (Week 2)
|
1/25/07
|
Do the following exercises in section 7.3
(shell method): 1-16, 23-25
|
| #5 (Week 3)
|
1/30/07
|
Do the following exercises in section 7.4
(length of curve): 3-6, 9-12, 15, 31a.
|
| #6 (Week 3)
|
2/1/07
|
Do the following exercises in section 7.6
(average value): 1-13, 26, 29, 30
|
| #7 (Week 4)
|
2/6/07
|
Do the following exercises in section 7.8
(fluids/pressure): 1-10. For exam 1 practice on substitution, do exercises 1-48, 51, 52, 54, 57 in section 6.8.
|
| #8 (Week 4)
|
2/9/07
|
Download
this worksheet and work the problems for practice. Download the worked solutions
here. Please note that this material WILL NOT be covered on Exam 1.
|
| #9 (Week 5)
|
2/13/07
|
Your homework is to study for the exam on
Thursday. You should also start working Homework #8.
|
| #10 (Week 5)
|
2/15/07
|
Exam day - no homework. Again, be sure to begin
Homework #8.
|
| #11 (Week 6)
|
2/21/07
|
Do the following exercises in section 8.2 (integration
by parts): 1-41 (except 35 and 36), 49-52, 61. Anyone interested in earning some extra credit may turn in problem 42; I do
not, however, expect you to be able to do this on an exam.
|
| #12 (Week 6)
|
2/26/07
|
I will lump the homework for trig powers together
with trig substitutions (this comming week). For now, work on Homework 11. The next quiz (Quiz 5) will only cover integration
by parts.
|
| #13 (Week 7)
|
2/27/07
|
Do the following problems in section 8.3 (trig powers):
1-14, 55-58 (for #7,13,14 you should use formulas (16), (17), and (18) on page 525). Do the following problems in section 8.4 (trig
substitutions): 1-26, 33-44
|
| #14 (Week 7)
|
3/1/07
|
Do the following problems in section 8.5 (partial fractions):
1-32
|
| #15 (Week 8)
|
3/6/07
|
Today, we began a new section and I did not finish what I was discussing.
Therefore, the only homework for today is to study the notes.
|
| #16 (Week 8)
|
3/8/07
|
Your only homework is to catch up - our quiz next week will be
over partial fractions (Homework #14). After spring break, you will have one more homework before the exam.
|
| #17 (Week 9)
|
3/20/07
|
Do the following problems in section 8.7 (trapezoidal rule): 1-6 (parts
(a) and (b) only; also, use n=5 instead of n=10), 13-18 (do part (b) only), 31 and 32 (use trapezoidal rule instead of midpoint rule).
Do the following exercises in section 8.8 (improper integrals): 1-30, 41, 42
|
| #18 (Week 10)
|
3/27/07-3/29/07
|
Exam 2 is scheduled for this week an as such, your homework is
to study. The best way to study is to go over old quizzes and homeworks. Be sure to work homework 17 and ask questions as the
exam will have questions from this assignment.
|
| #19 (Week 11)
|
4/3/07
|
Do the following problems in section 10.1: 1-22, 41
|
| #20 (Week 11)
|
4/5/07
|
Do the following problems in section 10.2: 1-24, 27
|
| #21 (Week 12)
|
4/10/07
|
Do the following problems in section 10.3: 1-14 (we did 10 and 14
in class so see your notes), 17-20, 26, 28
|
| #22 (Week 12)
|
4/12/07
|
Do the following problems in section 10.4: 1-22, 25. Do
the following problems in section 10.5: 1-16.
|
| #23 (Week 13)
|
4/17/07
|
Do the following problems in section 10.5 (The Root Test): 17-20,
21-44. Do the following problems in section 10.6: 1-30.
|
| #24 (Week 13)
|
4/18/07
|
Do the following problems in section 10.7: 8-12, 15-24. Pay
attention to the directions here and only do this problem for n=0-4. Don't do this for general n!
|
| #25 (Week 14)
|
4/24/07
|
This is the final homework assignment. Do the following
problems in section 10.8: 1-6, 9-18, 25-49.
|
This is an archive of previous lectures and recitations. This DOES NOT include what was discussed in lab; if you
missed a lab session, please see John. For a general synopsis of what was covered in the lab session, click
here.
| Date
|
Description
|
| 1/16/07
|
(Lecture) We discussed the syllabus
and course procedure and proceeded to review the Fundamental Theorem of Calculus and integration
via substitution.
|
| 1/17/07
|
(Recitation) We discussed the
exercises I assigned for homework yesterday.
|
| 1/18/07
|
(Lecture) We reviewed integration
by substitution and we discussed how we might find the area between two curves (section 7.1 in your text).
|
|
|
|
| 1/23/07
|
(Lecture) Today, we learned how
to compute volumes of solids of revolution using slicing, disks, and washers (section 7.2 in your text).
|
| 1/24/07
|
(Recitation) We had a lightning-fast
review of trigonomety. It is VERY important for you to review and remember the basic elements of trigonometry.
|
| 1/25/07
|
(Lecture) We discussed the shell
method used for computing volumes of a solid of revolution and we began to discuss lengths of curves in the
plane. We also took our first quiz on integration by substitution and areas between curves.
|
|
|
|
| 1/30/07
|
(Lecture) I handed quizzes back and discussed
some grading issues. We finished our discussion on lengths of curves today.
|
| 1/31/07
|
(Recitation) I went over problems pertaining to volumes
of solids of revolution and answered questions on this matter.
|
| 2/1/07
|
(Lecture) We took our second quiz on volumes of solids of
revolution. We also discussed average value and began our discussion on fluids.
|
|
|
|
| 2/6/07
|
(Lecture) Today, we finished discussing pressure and began
chapter 8 by combining substitution and algebraic manipulation to find anti-derivatives. I did not hand back quizzes - I will hand them back
on Thursday.
|
| 2/7/07
|
(Recitation) Today, we went over material that will be on the
quiz tomorrow (average value and lengths of curves). I worked some problems on each of these topics.
|
| 2/8/07
|
(Lecture) We took our third quiz and finished our
discussion on algebraic manipulation of integrals. If you were absent today, BE SURE to get somebody's notes. We also began the section
on integration by parts (section 8.2).
|
|
|
|
| 2/13/07
|
(Lecture) We reviewed for the exam that will be
administered on Thursday.
|
| 2/14/07
|
(Recitation) We reviewed for the exam that will be
administered tomorrow.
|
| 2/15/07
|
(Lecture) We took our first exam today.
|
|
|
|
| 2/20/07
|
(Lecture) We finished discussing integration
by parts and began trigonometric integrals (powers of trig functions).
|
| 2/21/07
|
(Recitation) We reviewed for the quiz tomorrow.
The quiz will cover the material on the worksheet from Homework #8.
|
| 2/22/07
|
(Lecture) We finished discussing powers of
trig functions and discussed trig substitutions. We also took our fifth quiz and I handed exams back.
|
|
|
|
| 2/27/07
|
(Lecture) We finished our discussion on trigonometric substitutions
and began our discussion on partial fraction expansions.
|
| 2/28/07
|
(Recitation) We reviewed for Quiz 5; the quiz will be over
integration by parts.
|
| 3/1/07
|
(Lecture) We took our fifth quiz and finished our discussion
on partial fraction expansions.
|
|
|
|
| 3/6/07
|
(Lecture) We began a new section on numerical integration. We discussed
lett and right sums, the midpoint approximation, and the trapezoid rule.
|
| 3/7/07
|
(Recitation) I worked problems on trig powers
and trig substitutions as the quiz tomorrow will cover these topics.
|
| 3/8/07
|
(Lecture) We took our sixth quiz and I let
everybody out early for Spring Break. Have a safe break!
|
|
|
|
| 3/13/07
|
SPRING BREAK, No Class
|
| 3/14/07
|
SPRING BREAK, No Class
|
| 3/15/07
|
SPRING BREAK, No Class
|
|
|
|
| 3/20/07
|
(Lecture) Today we discussed section 8.8
(improper integrals) in the text thus concluding Chapter 8. Moreover, I moved the exam from next Tuesday
to next Thursday (March 29th). Please be diligent when it comes to preparing.
|
| 3/21/07
|
(Recitation) Today, I worked some problems
on partial fractions as the quiz tommorow will cover that topic. Here is a useful tip that we discussed: whenever you are
trying to integrate a rational function, you should instantly try and perform polynomial division if the degree
of the numerator is larger than or equal to the degree of the denominator. After that, you can either use partial
fractions (assuming that the degree of the denominator is larger than the degree of the numerator in the resulting
fractions) or some other method.
|
| 3/22/07
|
(Lecture) Today, you took quiz 7 after
which we discussed some more specific information concerning the exam. The last homework involving the trapezoidal
rule and improper integrals WILL be on the exam although you will not have had a quiz on this material (see homework
#17). Next week, BE SURE to bring questions over Homework 17! We will review on Tuesday and Wednesday.
After discussing the exam, I let everybody out early today.
|
|
|
|
| 3/27/07
|
(Lecture) Review for Exam 2.
|
| 3/28/07
|
(Recitation) Review for Exam 2.
|
| 3/29/07
|
(Lecture) Exam 2.
|
|
|
|
| 4/3/07
|
(Lecture) Today, we discussed sequences and convergence
of sequences (10.1). We began section 10.2 by discussing monotone sequences.
|
| 4/4/07
|
(Recitation) No recitation today (I'm sick).
|
| 4/5/07
|
(Lecture) Today we discussed monotone sequences
and the Monotone Convergence Theorem (section 10.2). We began our discussion of infinite series (10.3).
|
|
|
|
| 4/10/07
|
(Lecture) We discussed geometric series, telescoping series, the Harmonic
series, and started to discuss convergence tests.
|
| 4/11/07
|
(Recitation) Aside from being locked out of the room at first, we discussed
homework problems. The quiz tomorrow will cover sections 10.1 and 10.2 (homeworks 19 and 20).
|
| 4/12/07
|
(Lecture) We discussed the integral test, the comparison
tests, and the ratio test for convergence of series. I also handed out a take-home quiz.
|
|
|
|
| 4/17/07
|
(Lecture) We discussed the root test, finishing
section 10.5. We also discussed the alternating series test and absolutely convergent series. We began our discussion of
MacLaurin and Taylor polynomials.
|
| 4/18/07
|
(Recitation) I went over homework problems from
Homeworks 21 and 22. The quiz tomorrow will cover geometric series and all convergence tests except for the root test and
the tests we learned in section 10.6.
|
| 4/19/07
|
(Lecture) We took our final quiz of the semester
and proceeded to discuss the second exam results. Also, we discussed MacLaurin and Taylor series.
|
|
|
|
| 4/24/07
|
(Lecture) Today, we finished studying
convergence of power series and radii of convergence.
|
| 4/25/07
|
(Recitation) We reviewed primarily for the
final. There will be no quiz tomorrow.
|
| 4/26/07
|
(Lecture) We did not take a quiz today
because it is the last day of class. We reviewed for the final and completed course evaluations. Have a good, safe summer!
|
|