Mathematics 27: Calculus I
Fall 2009
Instructor: Jim Sauerberg
Class: MWF 11:30am--12:30pm, Dante 114.
Email: jsauerbe@stmarys-ca.edu
Office Phone: 631-4248
Office: Galileo 101
Office Hours: MWF 10:20-11:20, 12:40-3:30. T 9:30-11:10, 1:00-3:00. By appointment.
Information Sheet: The details of what and how and when.
Course Calendar: What are we doing when.
How to Survive: Tips (and more) about suriving (and thriving!)
FINAL EXAM: Monday December 7th, 4:30--6:30pm. Galileo 105 & 112.
Announcements
The Student Math Center (SMC) has begun. It is open Sunday, Monday, Tuesday and Wednesday
evenings 7:00-9:00pm in Galileo 110. No appointment necessary -- just drop in, do your homework,
ask your question.
Homework
Monday November 23rd More subsitution
Read pages 378-380. Do (some/most/many of) 41-55 for practice. Do 59,
60, 63 more carefully.
Friday November 20th Section 5.5: Substitution
Read pages 375-378. Webassign is too type-y, so please do
7-25, 31 odds.
Wednesday November 18th Review
Do each and every one of the following problems twice
Chapter 4 CC: 1, 3, 5, 6, 9, 10
Chapter 4 T/F: 1-3, 5-15, 18, 19
Chapter 4 Ex: 1, 3, 5, 15, 17, 25, 39, 40, 46-55, 60
Chapter 5 CC: 1-6
Chapter 5 T/F: 1, 6-8, 10, 14, 15
Chapter 5 Ex: 1-5, 7, 9-11, 13, 14, 37, 53, 54, 63, 65
(and you'll be really prepared for the exam!)
Monday November 16th Section 5.4: The FT's of C
Read all except the proof on pages 371-2.
Do 3, 5, 7, 11, 15, 19, 21, 25.
Friday November 13th Section 5.3: The Definite Integral
Read especially the examples and the 'rates of change' examples on
pages 360-1.
Webassign is too typey, so do enough of 1-17, 21-27, 43, 51, 53 (all
odds) to be comfortable with this.
Wednesday November 11th Section 5.2: The Definite Integral
Read pages 343, 344, Example 4, and mid 350 to end.
HW has been posted.
FINAL EXAM: MONDAY THE 7TH
Monday November 9th Section 5.1: Area
Read pages 332-338. HW has been posted.
Friday November 6th Section 4.8: Antiderivatives
Read pages 317-319. Webassign is too "typish", so do 1-27 odd (check
your answers in the back of the book). You may need to do a step of
algebra before antidifferentiating.
Chapter 4 Review: Concepts 1, 3, 5, 6, 9, 10.
True-False Quiz: 1, 2, 5-19
Exercises: 1-15, 39-56, 63.
Wednesday November 4thSection 4.7: Newton's Method
Read all. HW has been posted on Webassign.
Monday November 2nd More Optimization
Worked on the worksheet
Friday October 30th Section 4.6: Optimization
Read the examples. HW is posted on Webassign. It is hard, so start
soon!
Wednesday October 28th Section 4.3: Graphing
The next project is now posted. Here, as a reminder, is the
checklist reminding you how I will eventually grade.
The project is due on November 9th.
Monday October 26th Section 4.2: Global Extrema
Read all of section 4.2 carefully. It has many nice examples and explanations.
HW has been posted (It includes 7, 9, 11, 13, 61, 63 -- do by hand and check your answers with the book.)
Friday October 23rd Hypercube
Two interesting websites are Tesseract and
4-th Dimension. (The latter is
run by my graduate school office mate!)
Wednesday October 21st Exam II
Monday October 19th More Related Rates
Take a look at 4.1 numbers 14, 20, 40, 44.
Chapter 3 Reviews: Look at Concept Checks 1, 2, 3, 4, 6.
T-F: 1-12.
Exercises: 1-15 odd, 37, 41, 47ab, 51, 53, 55, 57, 63, 65, 75, 77
Here is a study guide for the exam.
Next Math Monday: October 26th at 4pm.
Friday October 16th Section 4.1: Related Rates
There is very little 'method' to this section. Instead, the more problems
you do, the better you will become. Reading all the examples in section 4.1
and working on each and every one of the related rate problems
handed out in class is a good place to start.
Wednesday October 14th Section 3.5: Implicit Differentiation
Read all. See Webassign for assignment. The Webassign problems are mostly only ones whose answers will be easy to type. You are expected to be able to complete 'ugly' ones as well -- for example, numbers 7, 9 & 13.
Also do 3.5 #'s 17, 35, 50 & 54. (An exam question on implicit differentiation is more likely to look like one of these than like one of the purely calculation problems.)
Monday October 12th Section 3.9: Linearization
Read the start of section 3.9. Ony example 2 really addresses my interest in this section, so don't worry about
the rest. Note that "find the linearization" is just shorthand for "find the tangent line"
Webassign HW has been posted. (Due Friday).
Friday October 9th
We will review derivatives and then take the GateWay Quiz. You will be expected to do about six derivatives, with
no calculator or computer help, perfectly in about 20 minutes. See Wednesday's notes for practice problems.
The airtoxics project is due today.
Wednesday October 7th Section 3.7 Last Derivatives
Read the examples on pages 222-224. Do HW 3, 7-17 odd, 21, 25, 27, 29, 33, 39, 41. Don't hand in.
Our goal is by Friday most everyone can quickly and accurately compute most derivatives. For extra practice
see page 248, 1-36 all (except 12, 16, 21, 24, 27, 34).
Monday October 5th Section 3.4: The Chain Rule
Read pages 197-202. Complete handout from class.
Do 7-43 odd (don't hand in).
Do 50, 55, 64, 68 (show your work!), 72. Hand these in on paper on 10/7.
Friday October 2nd Section 3.3 Trig Derivatives
Quiz: Two or three 'take the derivative' computations.
Read the whole section. As in 3.2, it would real good to do 3-29 odds and check
your answers with the back of the book (or calculator).
In fact, we'll let WebAssign rest for the weekend. Do 3-29 odds carefully and check
your answers with the solutions. Also do 29, 30, 33, 34, 40 and hand these in
on paper on 10/5
Wednesday September 30th Section 3.2 Product and Quotient Rules
Especially read the examples in the section. Don't worry about the 'proofs'.
It would be really good to do all of 3-31 by hand. I will expect you to be able
to quickly and accurately do these derivatives by hand. HW has been posted.
Posted now are comments on exam 1.
Monday September 28th Section 3.1 Derivative of Exponential Functions
Read pages 179-180. HW has been posted.
New project is due Friday October 9th. Work in groups of 3-ish.
Friday September 25th Section 3.1 Derivatives of Polynomials
Carefully read pages 174-178. The proofs on page 177 are fair game for an exam.
HW has been posted.
Thursday September 24th: BBQ
Near Brousseau. 5:30pm.
Wednesday September 23rd: Review
Chapter 2 Review. Look at Concept Check: 1, 2, 5-17, T/F: all, and Exercises 1-18, 23, 27, 30, 32-48.
(These are aren't assigned, so you don't need to hand them in, but they provide a wealth of
problems with which to guide your study.)
Plan to Attned the BBQ on Thursday.
Monday September 21st: Section 2.8 f and f'
Short section - read it all. HW has been posted
Friday September 18th: Section 2.7 The Derivative Function
Read examples 1, 3, 4 and 5 quite carefully.
HW: Posted on WebAssign
Wednesday September 16th: Section 2.6 The Derivative at a Point
Read all (except example 7). We 'covered' much of this material the first couple
days of class, so when you read it should generally make a lot of sense.
HW: Posted on WebAssign
Monday September 14th: Section 2.5 Limits and Infinity
Read all. There is some interesting stuff here.
HW has been posted.
Please also review the initial class handout. Because of the time we spent on it, we will
move quickly through section 2.6.
Friday September 11th: Sections 2.2-2.4 Limits and Continuity
Section 2.1: We (mostly sorta) covered this during the first week of classes, so don't read
Section 2.2: Valuable section. Read all except examples 6 and 9.
Section 2.3: Read only examples 3, 5, and 6. (We won't have done enough of these during class, so be sure
to look at these examples.)
Section 2.4: Read only examples 6, 7 and 8. Note: "Read the examples" means "get out paper and pencil and
physically work through the work along with the author".
HW is posted on WebAssign
Wednesday September 9th: Section 1.2 A Catalog of Functions
Read the entire section.
Continue with Friday's HW.
This is all of chapter 1 we are (formally) doing. As the first exam gets closer suggestions for review include
Page 80 Review 1-8, True-False 1-5, 8-11, Exercises 1a-e, 3, 4, 17, 22, 25, 26.
Friday September 4th: Section 1.1 Functions
Read pages 12-17 carefully. Skim the rest of the section.
HW: Posted on WebAssign
Wednesday September 2nd: Intro to Calculus, Part II
Re-read the parts of the Handout we covered.
HW: (1) Do Exercises 4-7 on the Handout. Due Friday at the start of class.
(2) Log into your account on WebAssign.
Here are the WebAssign logon hints I sent on email.
If you are having trouble at the Blackboard stage, it could be because your email password was not properly linked (not your fault). Follow these directions to fix it.
You will need your access code, which came shrinkwrapped with your book.
Monday August 31st: Introduction to Calculus, part 1
Re-read the parts of the Handout we covered.
Do Exercises 1-3 on the Handout. Due Wednesday at the start of class.