Due Wednesday 11/3 at 9am

Section 4.1: Differential Equations and Their Solutions

• To read: All.
• Be sure to understand: Examples 3 and 6

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

1. y(t)=sin(t); y'' = -y
2. y(t)=e^2t; y' = y

Reminder:

• Bring questions on the problem set to class Wednesday.

Due Friday 11/5 at 9am

Section 4.2: More Differential Equations: Modeling Growth

• 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.

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

Reading questions:

1. Find a solution to the initial value problem
   y'=3y, y(0)=30.
2. Check your answer to (1) by differentiating your result and seeing if your result and its derivative satisfy the IVP.

Reminder:

• PS 8 is due Friday by 4pm.
• If you didn't pass the differentiation exam, re-take it!

Due Monday 11/8 at 9am

Section 4.6: Optimization

• 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

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

Reading questions:

1. What is the difference between a cricital point of f and a stationary point of f?
2. Where can the maximum and minimum values of a continuous function occur on a closed interval?

Reminder:

• 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.

Due Wednesday 11/10 at 9am

Project 2

• 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.

Reading questions:

1. No questions today!

Reminder:

• Bring questions on PS 9 to class Wednesday.

Due Friday 11/12 at 9am

Section 4.10: Why Continuity Matters

• To read: All
• Be sure to understand: The statement of the Intermedate Value Theorem, Example 2

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

Reading questions:

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

Reminder:

• 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!

Due Monday 11/15 at 9am

Section 4.11: Why Differentiability Matters

• 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.

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

Reading questions:

1. What are the hypotheses of the Mean Value Theorem?
2. What are the conclusions of the Mean Value Theorem?
3. Explain the MVT using "car talk" (that is, position, velocity, etc).

Reminder:

• The deadline for passing the differentiation exam is this Thursday by 4pm.

Due Wednesday 11/17 at 9am

Sections 4.10 and 4.11

• 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.

Reading questions:

1. No reading questions today!

Reminder:

• 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.