Spring
2009 Semester
Final Comprehensive
Exam: Friday, May 8 at 1:00 – 3:00 in Montesi
The solutions to Exam 4 will be in the tray to the right of my office door
at 1:00 Monday, May 4.
Class
43 Monday, May 4 Exam 4
You will need your calculator
for the Final Comprehensive Exam: Friday, May 8 at
1:00 – 3:00 in Montesi.
Class 42 Fri. May 1
You will need your calculator for Exam 4 and the
Final Exam!
In Section 4.5, practice using the
Fundamental Theorem of Calculus the following problems:
1. integration 1–19 on p. 390
2. finding
area 39, 41, 43 on p. 391
3. finding average value of a function on an
interval: 53, 55, 57 on p. 391.
Reminders:
The
online course evaluations are due today! Your 10
additional points for homework will only be granted if
I receive an email today.
Exam
4 on Monday will
cover Sections 3.1–3.8 & 4.1–4.4 & the problems listed above in Section
4.5.
Class 41 Wed. April 29
1. In Section 4.5, read pp. 383–385. Memorize the statement of
Theorem 5.1 (Fundamental Theorem of Calculus).
2. Hwk 25 for Fri: In Section 3.8 turn in #10 & #34 on
p. 326. In Section 4.5, turn in 4, 6, & 18 on p.
390.
Reminders:
The
online course evaluations are due by this Friday!
Your 10 additional points for homework will only be
granted if I receive an email by Friday.
Exam
4 on Monday will
cover Sections 3.1–3.8 & 4.1–4.4 & some topics in 4.5.
You will need your calculator for
Exam 4 and the Final Exam!
Class 40 Mon. April 27
Sections A & B classes
will meet in Buckman 357 as we did last week. Section C: let’s try
either Buckman 112 or 104.
1. Read Section 4.4.
2. Hwk 24 for Wed: In Section 4.1 turn in #10 & #24 on
p. 352. In Section 4.4, #2 & # 9 on p. 380.
Reminders:
Don’t forget “the online course
evaluations.” You will receive an
additional 10 points for homework by doing this & then sending me an email.
Exam
4 will be a week
from today and will cover Sections 3.1–3.8 & 4.1–4.4 & some topics in
4.5.
Class 39 Fri. April 24
1. In Section 3.8, read Examples 8.1–8.3 on pp. 321–322.
2. Hwk 23 for Monday: turn in #4 &
#10 on p. 293 & #2 on p. 324.
Class 38 Wed. April 22
1. Read Section 3.5.
In Section 3.7, read Example 7.3.
2. Practice
1, 3, 7 on p. 293.
3. Hwk 22 for Fri: turn in 14 & 22
on p. 284. (For #22 plot some
appropriate points. To receive credit for the sketch, it must be on quadrille
or graph paper and labeled. Use a ruler to draw the axes.)
Also,
the following optimization problem on p. 317: #4.
Class 37 Mon. April 20
1. Study
Section 3.4. Pay particular attention to Definition 4.1, Theorem 4.1, and the
“First Derivative Test” (Theorem 4.2).
2. Practice
2, 3, 5, 9, 11, 15, & 17 on p. 284. And #3 on p. 317.
3. Hwk 21 for Wed: turn in 4
& 10 on p. 284. (Plot some
appropriate points. To receive credit for the graphs, they must be on quadrille
or graph paper and labeled. Use a ruler to draw the axes.)
4. Applications
of Sections 3.3 & 3.4 are found in Section
3.7. Read Examples 7.1 & 7.2 on pp.
308–310. These are
called optimization problems.
We will cover Section 4.3 in this week’s lab sessions.
Class 36 Fri. April 17
1. Study
Section 3.4.
2. Practice
23, 32, 33, 37 on p. 275.
3. Hwk 20 for Monday: read Example 2.9 on p. 261
& turn in #38 on p. 264. Also,
#24 & #38 on p. 275.
Reminders.
Due
tonight by 11:30 pm:
WebCT Test 6 – “Derivatives Using the Ln & Inverse Trig Formulas Plus
Implicit Differentiation.”
Exam 4 will be on the last
day of class: Monday, May 4. It will cover Sections 3.1–3.8 & 4.1–4.4
& some topics in 4.5.
Class 35 Wed. April 15
1. Study
Section 3.3.
2. Practice the following problems on
p. 275: 1–15 (odd).
3. Note:
Section 4.2
on “Sums & Sigma Notation” will be covered in this
week’s Lab 11 sessions. The report is
due next week.
Remember that you lose 10 points by not
participating in the lab session itself.
4. Exam 4 will be on the last day of class: Monday, May 4.
It will cover Sections 3.1–3.8 & 4.1–4.4 & some topics in 4.5.
Reminder.
Due Friday, April 17 by 11:30 pm: WebCT
Test 6 – “Derivatives Using the Ln & Inverse Trig
Formulas Plus Implicit Differentiation.”
Class 34 Wed. April 8
For Wednesday, April 15:
1. Read Section 3.2.
2. Practice p. 264: 5–23 (odd).
3. Homework 19 for Wed: turn in 6, 8, 12, 16, & 22 on p. 264.
And for Friday, April 17 by 11:30 pm do WebCT Test 6 – “Derivatives Using the Ln
& Inverse Trig Formulas Plus Implicit Differentiation.”
Reminder:
In the labs next week, there is a
quiz over Lab 10 (the problems that I assigned in Section 4.1 on
Antiderivatives & Indefinite Integrals)
Class 33 Mon. April 6
Exam 3
Class 32 Fri. April 3
1. Read about Linear Approximations in Section
3.1.
2. Practice 3, 9, 29, & 37 starting on p.
251.
3. Homework
18 for Wednesday: Turn in 4, 10,
& 32 starting on p. 251. (Graphs must be done on
either quadrille paper or graph paper.)
Announcements:
No labs next
week! Quiz on Lab 10 (Section 4.1) will be during the labs of the week
April 13-17.
Exam
3 on Monday
covers Sections 2.5, 2.6, 2.7, 2.8, & 2.9 and the corresponding material in
the labs.
Beside the problems already assigned,
here are some additional suggested practice problems for Monday’s exam:
On pp. 236-238: 11, 13, 17, 25, 27, 31, 33, 34, 35, 39, 41, 42,
43, 47, 48, 49, 50, 55, 57, 59, 61, 63, 67, 77, 83.
Class 31 Wed. April 1
1. Read
about
2. Practice 21 & 29 on p. 252.
Announcements:
3. Exam
3 will be on Monday
instead of this Friday!
4. Correction
to yesterday’s lab (Lab 10): In Part C,
the page number should be “p. 352” not “p. 252”.
Exam
3 on Monday
covers Sections 2.5, 2.6, 2.7, 2.8, & 2.9 and the corresponding material in
the labs.
Beside the problems already assigned,
here are some additional suggested practice problems for Monday’s exam:
On pp. 236-238: 11, 13, 17, 25, 27, 31, 33, 34, 35, 39, 41,
42, 43, 47, 48, 49, 50, 55, 57, 59, 61, 63, 67, 77, 83.
Class 30 Mon. March 30
1. Some
practice problems using the Mean Value Theorem: 7, 8, 9, 11, 13, 15 & 40 on
p. 234.
2. Read
Section 4.1 to
prepare for this week’s lab. We will
work problems similar to the examples in Section 4.1.
Exam
3 on Friday
covers Sections 2.5, 2.6, 2.7, 2.8, & 2.9 and the corresponding material in
the labs.
Beside the problems already assigned,
here are some additional suggested practice problems for Friday’s exam:
On pp. 236-238: 11, 13, 17, 25, 27, 31, 33, 34, 35, 39, 41,
42, 43, 47, 48, 49, 50, 55, 57, 59, 61, 63, 67, 77, 83.
Class 29 Fri. March 27
1. Hwk 17 for Monday: Turn in
2, 16, 28 on p. 225 and 6 on p. 234.
2. Study
Rolle’s Theorem & the Mean Value Theorem in
Section 2.9.
Reminder: WebCT Test 4 due by 11:30 pm tonight!
Exam
3 next Friday
will cover Sections 2.5, 2.6, 2.7, 2.8, & 2.9 and the corresponding
material in the labs.
Class 28 Wed. March 25
1. Study
the Method of Implicit Differentiation on pp. 216–221 in Section 2.8.
2. In
lab this week, we study the derivative of the natural logarithm function (pp.
210-212) & the method of logarithmic differentiation on p. 213.
3. Practice
on p. 224: 1, 3, 5, 9, 15, & 25.
Reminder
WebCT Test 4 called “Derivatives Using the Trig
Formulas” is due by 11:30
pm Friday. You may take it as
often as you wish.
It will count as 3 homework
assignments.
Class 27 Mon. March 23
1. Study
the Derivatives of the Inverse Trig Functions pp. 221-224 in Section
2.8.
2. Hwk 16 for Wed: Turn in 30,
34, & 36 on p. 225.
3. Exam 3: Friday, April 3 on
Sections 2.5, 2.6, 2.7, 2.8. 2.9, and … .
Reminder
WebCT Test 4 called “Derivatives Using the Trig
Formulas” is due by 11:30
pm Friday. You may take it as
often as you wish.
It will count as 3 homework
assignments.
Class 26 Fri. March 20
1. Study
Section 2.7. The first part on
exponential functions (pp. 206-210) was the topic in this week’s labs. We will study the derivative of the natural
logarithm (pp. 210-213) in next week’s labs.
2. Practice p. 203: See Class 25. Additionally, work 5, 9, 15,
19, 25, 29, 33, 35, 37, and 41. (Some of
these I will work today in class.)
3. Hwk 15 for Monday: Turn in
4, 6, 10, 36, & 38 on pp. 203-204.
4. WebCT Test 4 called “Derivatives
Using the Trig Formulas” is due by 11:30 pm Friday, March 27.
You may take it as often as you wish.
It
will count as 3 homework assignments.
Class 25 Wed. March 18
1. Study
Section 2.6.
2. Practice
p. 203: 3, 7, 11, 13, 15, & 17.
3. The
WebCT Test 3 on the chain rule
of differentiation is due by 11:30
pm on Friday. You may take it as
often as you wish.
It
will count as 3 homework assignments.
Class 24 Mon. March 16
1. Continue
studying Section 2.5.
2. Practice
p. 194: 37 & 47.
3. Homework
14 for Wed.: Turn in 38 & 48 on p. 194.
Reminder
The WebCT Test 3 on the chain rule of
differentiation is due by 11:30
pm on Friday. You can take it as
often as you wish.
It will count as 3 homework
assignments.
Spring Break
Class 23 Fri. March 6
1. Homework
13 for Monday: 26 & 34 on p. 194.
Reminder
Take the WebCT Test 3 on the chain rule of
differentiation. You can take it as often as you wish.
The deadline for finishing it is 11:30 pm Friday, March 20. It will be counted as 3 homework assignments.
Class 22 Wed. March 4
1. Study
Section 2.5.
2. Memorize
the Chain Rule (Theorem 5.1).
3. Practice
p. 194: 1-19 odd.
4. Homework
12 for Friday: 4 & 16 on p. 194.
5. Take
the WebCT Test 3 on the chain rule of
differentiation. You can take it as often as you wish.
The
deadline for finishing it is 11:30
pm Friday, March 20. It will be
counted as 3 homework assignments.
Note.
There are two or three students who
got a 0 for some previous lab for failure to sign the attendance sheet. But I do not remember who you are. So, if you wish me to change your grade, see
me in my OFFICE! The deadline is this Friday.
Class 21 Mon. March 2
Exam
2
For
Wednesday:
1. Read
Section 2.5.
2. Memorize
the Chain Rule (Theorem 5.1).
3. Practice
p. 194: 1, 3, & 5.
Class 20 Fri. Feb. 27
Exam
2 on Monday is
comprehensive. However, it will
emphasize Sections 1.5, 2.1, 2.2, 2.3, and 2.4.
Also, review the applications of
derivatives discussed in class today.
There will be no calculator part.
For
next Wednesday (March 4):
1. Read
Section 2.5.
2. Memorize
the Chain Rule (Theorem 5.1).
3. Practice
p. 194: 1, 3, & 5.
Class 19 Wed. Feb. 25
1. Read
Section 2.4.
2. Memorize
the differentiation rules called the Product Rule (Theorem 4.1) and the
Quotient Rule (Theorem 4.2).
3. Practice
p. 186: 1, 3, 5, 7, 11, 49, 51.
4. Homework 11 for Friday: 2 (use the product rule), 10 (use the
quotient rule), 21(a), 22(a) on p. 186.
Exam
2 on Monday will
be comprehensive. However, it will
emphasize Sections 1.5, 2.1, 2.2, 2.3, and 2.4.
Class 18 Mon. Feb. 23
1. Read
Section 2.3.
2. Memorize
the differentiation rules: (3.1), (3.2), the Power Rule (3.7), and the general
derivative rules given in Theorem 3.3.
3. Practice
p. 177: 1 – 35 (odd).
4. Homework 10 for Wednesday: Use the differentiation rules to find the
derivatives of 4 & 14 on p. 177.
Class 17 Fri. Feb. 20
1. Memorize
and understand Theorem 2.1 and its proof.
2. Homework 9 for Mon:
Problems 9 & 12 on p. 166.
(The answer to Problem 9 is in the book; your job is to show how to
obtain the answer & to write it up correctly, such as Example 2.1.)
Correction: In the Homework 7 Key, the correct units in
Problem 36 are meters per second not feet per second.
Exam 2 will be on Monday, March 2.
It will be comprehensive but will stress Section 1.5 and the material
covered in Chapter 2.
Class 16 Wed. Feb. 18
1. Study
Section 2.2.
2. Practice
problems on p. 166: 1 – 11 (odd).
3. Homework 8 for Fri:
Problem 2 [use both (2.1) & (2.2)] & 8 on p. 166.
Announcement:
The MAA will show the documentary about Andrew Wiles
proving Fermat's Last Theorem tomorrow at 12:30 in CW-320. There will be free pizza.
Class 15 Mon. Feb. 16
1. Read
Section 2.2.
2. Additional
practice problems on p. 156: 31, 33, 35, 37.
3. Homework 7 for Wed: 34
& 36 on p. 157.
Use
your calculator to work Problem 34 (similar to the example at the bottom
of p. 152.)
Do
not use the calculator to work Problem 36.
Instead, rely on algebra. For an
example, see the top of p. 153.
Class 14 Fri. Feb. 13
Graded exams will be
returned Monday.
1. Continue
to study Section 2.1.
2. Homework 6 is due Monday: On
p. 156, turn in 6, 10, & 28.
Class 13 Wed. Feb. 11
Graded exams will be
returned Monday (possibly Friday).
1. Read
Section 2.1.
2. Practice
p. 156: 5, 9, 17, 19, 25.
Class 12 Mon. Feb. 9
Exam 1
Class 11 Fri. Feb. 6
Exam
1 on Monday will cover Sections 1.1 – 1.5.
Note for Sec. 1.5: Exam 1 will not cover limits
involving [trig functions combined with “infinity”] nor slant asymptotes. We will study these next week in lab.
Arclength and problems involving sigma
(summation) notation will not be on this exam.
For suggestions for preparing for the
exam, see Class 10 below.
Bring a graphing calculator
to the exam (you may not borrow one during the exam). Also, bring a ruler.
Class 10 Wed. Feb. 4
Exam
1 on Monday will cover Sections 1.1 – 1.5. To prepare
for the exam, I suggest that you
1. study
the photocopied solutions of the turn-in problems;
2. study
the problems that I worked in class;
3. review
your solutions of the practice problems;
4. write
down the definitions and theorems we discussed in class and memorize them;
5. read
Section 1.5;
6. and
practice the following on p. 118: 1, 3, 5, 7, 9, 13, 15, 17, 19, 25, 27, 29,
and 33.
Class 9 Mon. Feb. 2
1. Begin
reading Section 1.5.
2. Practice
p. 107: 3,
9, 11, 13, 21, 25, 29, 33.
3. Remember
to bring your textbook and calculator to lab tomorrow.
Exam
1 will be a week from today (Monday, February 9) covering Sections 1.1 – 1.5 (turn-in
& practice problems; class notes; labs; statements of definitions &
theorems)
Class 8 Fri. Jan. 30
1. Continue
studying “continuity” in Section 1.4.
2. Practice
p. 107: 3,
9, 11, 13, 21, 25, 29, 33.
Reminder:
Homework
5 is due Monday: On p. 106, turn in 2 & 14.
Suggestion: Take advantage of the Math Center!
Announcement: Exam 1 will be on Monday, February 9.
Class 7 Wed. Jan. 28
1. Begin
reading about “continuity” in Section 1.4.
2. Practice
p. 96: 19, 21, 63, 65.
3. Homework 5 for Monday: On
p. 106, turn in 2 & 14.
Class 6 Mon. Jan. 26
1. Continue
studying limits in Section 1.3.
2. On
p. 95, practice 1 – 17 (odd).
3. Homework 4 for Wed: On
p. 95, turn in 8 & 16.
Class 5 Fri. Jan. 23
1. Read
Section 1.3.
2. Homework 3 for Mon: On p. 85 turn in 4 and on p. 95: 6 &
10.
Class 4 Wed. Jan. 21
§
I expect calculus students to attend every class. That includes the lab sessions too! Lab 1 will be worth 20 points (10 pts for
participation + up to 10 pts for the lab report). If you missed lab yesterday, please get a lab
handout from me, work the problems, and turn in your lab report the next lab
session so that you can get at least half credit.
§
I will return Homework 1 to you Friday but I am handing out the solutions
today.
1. Read
Sections 1.2 & 1.3.
2. Practice
p. 85: 1, 3, 19, 25.
Reminder:
Homework
2 is due Friday: use the TI-89 to work Exercise 14 (c) on p. 78 (similar to what I did in Classes 2
& 3 for Exercise 18). Take n sufficiently large to estimate the arc
length to the nearest thousandth.
Class 3 Fri. Jan. 16 For Monday:
1. Homework 2 is due Friday: use
the TI-89 to work Exercise 14 (c) on
p. 78 (similar to what I did in Class 2 for Exercise 18). Take n sufficiently
large to estimate the arc length to the nearest thousandth.
2. Start
reading Section 1.2.
Reminders:
Requirement for participation in lab
is a TI-89 calculator (or equivalent) by lab time of next week.
Class 2 Wed. Jan. 14
1. Continue
studying Section 1.1 and work the practice problems.
Reminders:
Hwk 1 is due Friday: turn
in 4, 8, 18a & b on p.78. (Follow the Homework Rules.)
Requirement for participation in lab
is a TI-89 calculator (or equivalent) by lab time of next week.
Class 1 Mon. Jan. 12
1. Read
the First Class Course Handout.
2. Have
the textbook and a TI-89 calculator (or equivalent) by Monday.
3. Read
Success in Math (
4. Read
Section 1.1 (pp. 73 - 78) in Smith/Minton.
5. Practice
3, 5, 15, 17 on p.78.
6. Hwk 1 is due Friday: turn in 4, 8,
18a & b on p.78. (Follow the Homework Rules.)