Reading Assignments for Calculus 1 with Econ Applications
Spring 2008, Math 102

March 2008

Be sure to check back often, because assignments may change!
(Last modified: Monday, January 21, 2008, 3:11 PM )

I'll use Maple syntax for some of the mathematical notation on this page. (Paying attention to how I type various expressions is a good way to absorb Maple notation). I will not use it when I think it will make the questions too difficult to read.
All section and page numbers refer to sections from Calculus from Graphical, Numerical, and Symbolic Points of View, Volume 1, 2nd Edition, by Ostebee and Zorn.

Due Monday 3/3 at 9am

Section 3.2 Composition and the Chain Rule

To read: Through Example 12. We'll consider evidence for why the Chain Rule is true during class.

E-mail Subject Line: Math 102 Name 3/3

Explain what is wrong with the following calculations and fix them.

1. f(x)=sin(x^2). f ' (x) = cos(x^2)+sin(2*x)
2. g(x)=exp(3*x). g ' (x)=exp(3*x).
3. h(x)=(sin(x))^3. h ' (x)= 3*(cos(x))^2.

Reminders:

• Bring questions on PS 6 to class.
• Put a star next to the primary author's name.

Due Wednesday 3/5 at 9am

Section 3.2 Composition and the Chain Rule

No Reading Questions Today

Due Friday 3/7 at 9am

The Big Picture On Differentiation

To read: Review all of Chapter 2, and practice as many differentiation problems as you can.

No Reading Questions Today

Monday 3/10- Friday 3/14

Spring Break!

Due Monday 3/17 at 9am

Section 4.3 Optimization

To read: All. Don't worry about the fact that we skipped the section on implicit differentiation. We can do any and all optimization problems without it. Read Examples 2, 3, and 6 carefully. In example 4, the text says "we could use the constraint x+y=10 to solve for y and then rewrite P as a function of x alone." -- try to figure out what they're talking about, as that's the way we'll approach such problems.

E-mail Subject Line: Math 102 Name 3/17

1. At which x-values can a continuous function f(x) achieve its maximum or minimum value on a closed interval [a,b]?
2. What is the difference between an objective function and a constraint equation?
Reminder:
• I'll answer questions on the problem set during lab on Tuesday.
• You'll take the differentiation exam at the end of class on Wednesday.

Due Wednesday 3/19 at 9am

Section 4.7 Building Polynomials to order: Taylor Polynomials

To read: All. (Yes, we skipped sections again. Most sections in Chapter 4 are selected applications, for me to pick and choose.) Be sure to understand Examples 5 and 8.

E-mail Subject Line: Math 102 Name 3/19

1. Why would you want to find the Taylor polynomial of a function?
2. In your own words, briefly explain the idea of building the Taylor polynomial for a function f(x).

Reminder:

• PS 7 is due at the beginning of class Wednesday. PS 8 is another group problem set. Once again, switch partners, be primary author if you weren't last time, and don't split up the problems.
• The differentiation exam will be at the end of class.

Due Friday 3/21 at 9am

Section 4.7 Building Polynomials to Order: Taylor Polynomials

No Reading Questions Today

Reminder:

• If you didn't succeed at the differentiation exam the first time around, come by my office as soon as possible to give it another shot. Don't wait until you feel confident -- use the exams (and talking to me about them) as a way to master differentiation!

Due Monday 3/24 at 9am

Section 4.7 Building Polynomials to Order: Taylor Polynomials

To read: Re-read the section carefully once again.

No Reading Questions Again Today

Reminder:

• Don't forget about passing the Diff Exam! Deadline for 100% is Friday.
• Bring questions on PS 8. Put a star next to the primary author's name.

Due Wednesday 3/26 at 9am

Work on Project 2

No Reading Questions Today!

Reminder:

• Diff Exam!
• Exam 2 is Tuesday 4/1. Get an early start on PS 9, as it should be completely finished by the beginning of class Monday, to give you time to wrap up studying for the exam.

Due Friday 3/28 at 9am

Section 4.8 Why Continuity Matters

To read: All. Make sure to understand the statement of the Intermediate Value Theorem

E-mail Subject Line: Math 102 Name 3/28

1. What are the hypotheses of the Intermediate Value Theorem?
2. What is the conclusion of the Intermediate Value Theorem?

Reminder:

• The deadline for receiving 100% on the Differentiation Exam is Friday at 3:00pm.

Due Monday 3/31 at 9am

Bring Questions for Exam 2

No Reading Questions Today

Reminders:

• Get questions on PS 9 out of the way before class! PS 9 should be done before class today, so you can be focusing on reviewing.
• As you prepare for the exam, take advantage of the Kollett Center and of my office hours.
• For the exam, once again you may have a "cheat sheet", consisting of handwritten notes on one side of an 8 1/2 x 11 (or smaller) piece of paper.
• As before, you may begin taking the exam at 12:30pm Tuesday.

Here ends the reading for March
Go to the reading assignments for April!
Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 109
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278
jsklensk@wheatonma.edu

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