Mathematics 14: Calculus with Elementary Functions II
Fall 2009
Instructor: Jim Sauerberg
Class: MWF 8:00--9:00am, Galileo 112
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.
Course Calendar: What are we doing when.
How to Survive: Tips (and more) about suriving (and thriving!)
FINAL EXAM: December 7th, 9:00-11:00am.
Announcements
The Student Math Center is now open Sunday Monday Tuesday Wednesday nights,
7:00-9:00pm in Galileo 110. Stop by to get your questions answered, to
sit and do your homework, or just to hang out.
Homework
Monday November 23rd More Substitution
Read pages 316-318. Do 55, 61, 67, 73, 75, 79, 83, 87.
Friday November 20th Section 7.1: Subsitution
Read pages 312-316. Do 3-37 odd. (not to be handed in)
Wednesday November 18th Review for Exam
Do each and every one of the following problems twice:
Chapter 5 Review: 1-6, 14, 15, 18, 22, 25, 26, 28, 29, 30, 34-38, 41-45, 47.
Chapter 5 CYU: 1-19
Chapter 6 Review: 1-16, 18-21, 24-43, 49-52
Chapter 6 CYU: 1-9, 16-19, 23, 25, 26
(and you will be very well prepared for the exam.)
Monday November 16th Section 6.4: The FT's of C
Read section 6.4. Do 11, 16, 19, 24, 25. Due 11/18.
Friday November 13th Equations of Motion
Really Section 6.3. Read pages 294-5. (although pages 303-4 are also
very interesting).
Do 6.3: 11, 15, 21, 23. Due 11/18.
Wednesday November 11th Section 6.2: Integrals and Area
Do 72, 75, 77, 79, 80, 82, 83. Due 11/18.
Monday November 9th Section 6.2: Antiderivative formulas
Do all the odds 1-21, 41-59. Don't hand in.
This is an important mechanical
operation. Do enough to get good and comfortable with it.
Friday November 6th Section 6.1: Antiderivatives via Area
Read all. Do 1, 3, 5, 7, 10, 11, 14, 16, 23. Due 11/11.
Wednesday November 4th Section 5.4: Theorems on Integrals
Read the examples in the section.
Do 3, 14, 15, 16, 17, 18, 19, 26, 27, 31, 34, 35. Due 11/11.
For extra practice, see Chapter 5 Review: 1-6, 14, 15, 18, 22, 25, 26, 28, 29, 30, 34-38, 41-45, 47.
Chapter 5 CYU: 1-19
Monday November 2nd Section 5.3: The Fundamental Theorem
Read all
Do 1, 3, 5, 6, 7, 13, 15ab, 20, 24, 27. 33, 35, 36. Due 11/11.
Friday October 30th: More on the definite integral
Done very logically.
Wednesday October 28th Section 5.2: The Definite Integral
Section 5.2. Read all. Do 1, 3, 5, 7, 27, 28, 29, 31, 32. Due 11/3.
Monday October 26th Section 5.1 More Area
Do 5.1 4, 6, 8, 14, 15, 17, 19, 23, 25. Due 11/3.
Friday October 23rd Section 5.1 Area
HW: Re-read your notes. Spend a bit of time looking at the pictures
in section 5.1 and think about what's going on in them.
Wednesday October 21st Exam II
Monday October 19th More related rates
The exam will be six questions. For Wednesday, decide what the six topics/questions will cover. Come to class prepared to put your list on the board, to defend your choices, and to outline the method for solving such questions.
Extra Related Rates: Section 4.6 17, 20, 23, 33. Look at, don't hand in.
Chapter 4 Review Exercises: 1, 2, 3a-d, 13, 14, 22, 23, 24, 25, 26, 27, 36, 40, 45, 51, 54, 55, 56.
Chapter 4 Check your Understanding: 1-8, 11, 13-17, 21-24.
Friday October 16th Section 4.6: Related rates
There is very little 'method' to this section. Instead, the more problems
you do, the better you will become. Reading examples 1, 3, and 5 in the section
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 3.7: Implicit Differentiation
Read all. Do 7, 13, 16, 28, 20, 21, 25, 28, 30. Due 10/21.
Friday October 9th: The calculus of Economics
Read section 4.4 all.
Do 3, 6, 7, 12, 15, 19, 20, 21. Due 10/14.
Wednesday October 7th:More Optimization
Do the worksheet as Homework. Due 10/14 (Date Change!)
Monday October 5th:4.5 Optimization
Do 11, 16, 19, 20, 27, 28, 31, 32. These are hard. Start today! Due 10/14.
Friday October 2nd: 4.3 Global Extrema
Read pages 181-184. Do 5, 10, 12, 19, 26, 27, 30, 35, 36. Due 10/7
Wednesday September 30th: 4.1 Functions, Derivatives and Graphs
Do exercises 5, 6, 7, 8, 10, 16-8, 16-10, ("do number 16 for number 8 and do number 16 for number 10"), 21, 23.
Monday September 28th: 4.1 Functions, Derivatives and Graphs
Read the section, but don't worry about the calculations (we'll talk about them on Wednesday).
Do Exercises 17, 18, 33, 35, 36, 38, 39, 42, 43, 46
Friday September 25th: Pascal's Triangle
We discovered that a "triangle" in 4-d would have 5 corners!
Wednesday September 23rd: Review Day
Everything covered so far is fair game for the exam. Helpful might be
Chapter 3 Review Exercises: 1-18, 20-26, 28-38, 40-58, 82, 83, 87, 98.
Chapter 3 Check Your Understanding: 1-7
Do some of these carefully, and use others to "talk through" -- explain to yourself how to do it.
Monday September 21st: Newton's Method
Read pages 997-1000.
Do HW: 1, 3, 6, 8, 11. Due 9/23.
Friday September 18th: Review of Derivatives
Sheet passed out in class -- Derivatives to do! before the
exam. (Extras on my door.)
Wednesday September 16th: Derivative of the Natural Log
Read pages 138-9.
Do HW 1-13 odd, 19, 27-33 odd, 39, 43, 57, 58, 59. Due 9/23.
Monday September 14th: More Trig Derivatives
Do Section 3.5: 40, 43, 44, 47, 48, 50. Due 9/16.
(Also, do the derivatives from 2-39 that you haven't previously done. Not to
be handed in, but for practice.)
Friday September 11th: Trig Derivatives I
Do Section 3.5: 2, 5, 7, 10, 13, 17, 21, 24, 32, 35 and 37. Due 9/16.
(It wouldn't hurt to do all of 2-39 that have only sin(x) and cos(x) in them.)
Wednesday September 9th: Trigonometry II
Review notes and handout.
Do exercises 1-18 and 29-31. Due 9/16.
Friday September 4th: Trigonometry I
Review notes and handout.
Memorize those bits I told you to.
(I've lost my copy of the Handout, so we'll worry about HW on Wednesday.)
Wednesday September 2nd: Linearization
Section 3.9. Read page 150, Example 2 & 3. Do 1, 8, 11, 12.
Also, (A) Use the method from class to approximate ln(.2) and
(B) Use the method from class to approximate e^.05 and
(C) Find the linear approximation to (1+x)^k and use it to approximate (1.00002)^50 and (1.009)^(1/3).
Monday August 31st: Introduction & Review
Make sure to review and do Section 3.3 1-29 odd and 3.4 1-47 odd. This means, by
Wednesday remember yourself how to do these problems.