**To read:**All.**Be sure to understand:**Examples 3 and 6- y(t)=sin(t); y'' = -y
- y(t)=e
^{2t}; y' = y - Bring questions on the problem set to class Wednesday.
**To read:**Theorem 1 on page 256, the sections on radioactive decay and biological populations on pages 259-260, and the afterword:*Discrete vs Continuous Growth*beginning on page 264.**Be sure to understand:**The statement of Theorem 1, and Examples 3 and 4.- Find a solution to the initial value problem

y'=3y, y(0)=30. - Check your answer to (1) by differentiating your result and seeing if your result and its derivative satisfy the IVP.
- PS 8 is due Friday by 4pm.
- If you didn't pass the differentiation exam, re-take it!
**To read:**Through Example 5**Be sure to understand:**The discussion on pages 297-298 beginning with Local vs Global Extreme Values and continuing through Example 3- What is the difference between a
**cricital point**of f and a**stationary point**of f? - Where can the maximum and minimum values of a continuous function occur on a closed interval?
- Wednesday you will begin working on your second group project. Do not even consider missing class unless you are at death's door ... on pain of being ostracized by your group or even (gasp!) not being able to find a group to work with.
**To read:**Project 2, re-read your Guide to Writing Mathematics. Also remind yourself of the comments I made on your last projects.**Be sure to understand:**The general scenario of the project.- No questions today!
- Bring questions on PS 9 to class Wednesday.
**To read:**All**Be sure to understand:**The statement of the Intermedate Value Theorem, Example 2- What are the
**hypotheses**of the Intermediate Value Theorem? - What are the
**conclusions**of the Intermediate Value Theorem? - PS 9 is due Friday by 4pm.
- If you haven't passed the differentiation exam yet, keep re-taking it--the deadline for 100% is fast approaching!
**To read:**Through page 334**Be sure to understand:**The statement of the Mean Value Theorem, the section*What the MVT says*on page 333, Question 1 and Theorem on page 334.- What are the
**hypotheses**of the Mean Value Theorem? - What are the
**conclusions**of the Mean Value Theorem? - Explain the MVT using "car talk" (that is, position, velocity, etc).
- The deadline for passing the differentiation exam is this Thursday by 4pm.
**To read:**Review Sections 4.10 and 4.11**Be sure to understand:**Start thinking about the big picture, what the purpose of these theorems are, why we need them, what they add to our knowledge.- No reading questions today!
- The deadline for passing the differentiation exam is this Thursday by 4pm.
- Bring questions on PS 10 to class Wednesday.
- Be done with the calculations you're working on for Liz Parker by Wednesday, so you can start writing her a professional and convincing letter.

Fall 1999, Math 101

**CHAPTER 4**

__ Due Wednesday 11/3 at 9am__

**Section 4.1: Differential Equations and Their Solutions **

**Reading questions:**

Because of the differentiation exam, you don't have to send these end, but you should do them.

Decide whether the given function y(t) is a solution to the given differential equation

**Reminder:**

__ Due Friday 11/5 at 9am__

**Section 4.2: More Differential Equations: Modeling Growth **

**E-mail Subject Line:** Math 101 Your Name 11/5

**Reading questions:**

**Reminder:**

__ Due Monday 11/8 at 9am__

**Section 4.6: Optimization**

**E-mail Subject Line:** Math 101 Your Name 11/8

**Reading questions:**

**Reminder:**

__ Due Wednesday 11/10 at 9am__

**Project 2**

**Reading questions:**

**Reminder:**

__ Due Friday 11/12 at 9am__

**Section 4.10: Why Continuity Matters**

**E-mail Subject Line:** Math 101 Your Name 11/12

**Reading questions:**

**Reminder:**

__ Due Monday 11/15 at 9am__

**Section 4.11: Why Differentiability Matters**

**E-mail Subject Line:** Math 101 Your Name 11/15

**Reading questions:**

**Reminder:**

__ Due Wednesday 11/17 at 9am__

**Sections 4.10 and 4.11**

**Reading questions:**

**Reminder:**

Go to Chapter 5!

Department of Mathematics and Computer Science

Science Center, Room 103

Norton, Massachusetts 02766-0930

TEL (508) 286-3970

FAX (508) 285-8278

jsklensk@wheatonma.edu

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