- f(x)=sin(x^2). f ' (x) = cos(x^2)+sin(2*x)
- g(x)=exp(3*x). g ' (x)=exp(3*x).
- h(x)=(sin(x))^3. h ' (x)= 3*(cos(x))^2.
- Bring questions on PS 6 to class.
- Put a star next to the primary author's name.
- At which x-values can a continuous function f(x) achieve its maximum or minimum value on a closed interval [a,b]?
- What is the difference between an objective function and a constraint equation?
- 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.
- Why would you want to find the Taylor polynomial of a function?
- In your own words, briefly explain the idea of building the Taylor polynomial for a function f(x).
- 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.
- 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!
- 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.
- 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.
- What are the
**hypotheses**of the Intermediate Value Theorem? - What is the
**conclusion**of the Intermediate Value Theorem? - The deadline for receiving 100% on the Differentiation Exam is Friday at 3:00pm.
- 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.

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

**Reading questions:**

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

**Reminders:**

__ Due Wednesday 3/5 at 9am__

**Section 3.2 Composition and the Chain Rule**

**To read:**
Re-read Section 3.2.

**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

**Reading questions:**

** 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

**Reading questions:**

**Reminder:**

__ Due Friday 3/21 at 9am__

**Section 4.7 Building Polynomials to Order: Taylor Polynomials**

**To read:**
Re-read the section carefully.

**No Reading Questions Today**

**Reminder:**

__ 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:**

__ Due Wednesday 3/26 at 9am__

**Work on Project 2**

**No Reading Questions Today!**

**Reminder:**

** 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

**Reading questions:**

**Reminder:**

__ Due Monday 3/31 at 9am__

**Bring Questions for Exam 2**

**No Reading Questions Today**

**Reminders:**

Go to the reading assignments for April!

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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