Fall 2001, Math 101

November 2001

Be sure to check back often, because assignments may change!

All section and page numbers refer to sections from Ostebee/Zorn, Vol 1.

Due Friday 11/2 at 8am

More on Differentiation

• To read: Nothing new; review the product rule, the quotient rule, and the chain rule.
• Be sure to understand: How to use the various rules. Begin to be able to combine them.

Reminders:

• The Differentiation Exam is Monday.

Due Monday 11/5 at 8am

Section 4.6: Optimization

• To read: Through Example 5
• To read for Tuesday's lab: The project I will hand out in class Monday.
• 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 11/5

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:

• Bring questions on PS 8 to class Monday. I will not answer questions on the exam in class, but would be delighted to answer any questions (or at least to give you hints) during office hours. PS 8 and PS 8.5 are both due Tuesday at the beginning of lab.
• Practice for the Differentiation Exam, which will be at the beginning of class (don't be late--You'll only have 15 minutes to take it.)
• If you feel you need extra assistance on the homework, or simply can not make my office hours, remember to take advantage of Meghan's help session, Monday nights at 8pm. If you're interested, e-mail her at mtracews before 5pm Monday.

Due Wednesday 11/7 at 8am

Project 2

• Be sure to understand: what you're being asked to do, and what your group did in lab Tuesday, and Tuesday evening.

Reminders:

• Begin working on PS 9 (individual) Tuesday or Wednesday. As always, work on it throughout the week.

Due Friday 11/9 at 8am

Section 4.6: Optimization

• Be sure to understand: Pay especial attention in Examples 3 to how the constraint y= - 2x+2 was used to change the distance formula from one of two variables (distance = sqrt(x^2+y^2)) to one involving only a single variable.

E-mail Subject Line: Math 101 Your Name 11/9

1. Suppose you are trying to minimize the volume of a soda can, given that you want the volume to be 12 oz. What equation are you trying to optimize, and what is the constraint equation?

Reminder:

• Important: To get 100% on the Differentiation Exam, you have to pass it by 3pm Monday (that means it must be done by then!) So don't waste any time! Start coming to my office and re-taking it. If you don't know how to do something, come and ask me!!!!
• Plan on finishing the math for the project over the week-end (if not earlier) so that you can have plenty of time to work on writing your draft.

Due Monday 11/12 at 8am

Section 4.1 : Differential Equations and Their Solutions
Section 4.2: More Differential Equations: Modeling Growth

• To read: All of Section 4.1. In Section 4.2, 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: Examples 3 and 6 in Section 4.1; in Section 4.2, The statement of Theorem 1, and Examples 3 and 4.

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

1. Is y(t)=sin(t) a solution of the differential equation y'' = -y?
2. Find a solution to the initial value problem
y'=3y, y(0)=30.

Reminder:

• As always, PS 9 should be done by Monday morning (remember, the time between Monday and Tuesday is for recopying your problem set. Bring those last remaining questions on PS 9 to class Monday.
• Monday is the last day to get 100% on the Differentiation Exam, so please come live in my office if necessary!
• By Monday at the latest, you should be working on your draft of Project 2. The better you do on the draft, the less work you'll have to do on the final version, which might lessen the work you have to do the Monday and Tuesday before Thanksgiving -- traditionally an insane two days for many people.
• If you feel you need extra assistance on the homework, or simply can not make my office hours, remember to take advantage of Meghan's help session, Monday nights at 8pm. If you're interested, e-mail her at mtracews before 5pm Monday.

Due Wednesday 11/14 at 8am

Section 4.10: Why Continuity Matters

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

E-mail Subject Line: Math 101 Your Name 11/14

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

Reminders:

• Begin working on PS 10 (group) Tuesday or Wednesday, and (as always) have it done by Monday morning.
• The draft for Project 2 is due Wednesday at 3pm.
• If you missed your chance to get 100% on the Differentiation Exam, don't miss your chance to get 80 points on it! The deadline for that is Monday 11/19. Practice, come to me with questions, etc.

Due Friday 11/16 at 8am

Section 4.11: Why Differentiability Matters; The Mean Value Theorem

• To read: Through page 334. Really do read this for Monday, even though we haven't started talking about Section 4.10 yet -- we'll be talking about Section 4.11 on Tuesday in lab.
• 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 11/16

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 last day to get 80 points on the differentation exam is Monday. After that, it goes down to 50 points -- but only for a short time.

Due Monday 11/19 at 8am

Re-read Section 4.10 and Section 4.11

• To read: Re-read both sections and really make sense of what the IVT, EVT, and MVT actually say and mean.
• Be sure to understand: What we can do with the various theorems.

Reminders:

• Have PS 10 done before class Monday; bring any last questions to class Monday.
• The last day to get 80 points on the differentiation exam is Monday.
• Do PS 11 before leaving for Thanksgiving.
• Exam 3 is 11/30, the Friday after Thanksgiving.
• If you feel you need extra assistance on the homework, or simply can not make my office hours, remember to take advantage of Meghan's help session, Monday nights at 8pm. If you're interested, e-mail her at mtracews before 5pm Monday.

Due Monday 11/26 at 8am

Section 5.1: Areas and Integrals
Section 5.2: The Area Function

• To read: All of both sections
• Be sure to understand: In Section 5.1, the definition of the integral on page 342; Example 2; the section Properties of the Integral beginning on page 345. In Section 5.2, the definition of the area function on page 357; Examples 1 and 2.

E-mail Subject Line: Math 101 Your Name 11/26

1. What does the integral of a function f from x=a to x=b measure?
2. Is the integral of f(x)=5x from x= -1 to x=3 positive or negative? Why?
3. Let f be any function. What does the area function Af(x) measure?
4. Let f(t)=t and let a=0. What is Af(1)?

Reminders:

• Tuesday is the last day to get any points on the differentiation exam.
• Spread studying for the exam out over several days.
• Remember: ideal studying includes re-reading the text (taking notes on key ideas), re-reading class notes, doing the sample problems I give you, re-doing as many homework problems as possible, and looking over old exams to see what types of mistakes you made before.
• If you feel you need extra assistance on the homework, or simply can not make my office hours, remember to take advantage of Meghan's help session, Monday nights at 8pm. If you're interested, e-mail her at mtracews before 5pm Monday.

Due Wednesday 11/28 at 8am

Questions and Answers for Exam 3

• To read: Re-read everything since Exam 2 (and, if necessary, prior material as well, of course).
• Be sure to understand: All of it!

Reminder:

• Work out all the sample problems I gave you, and begin re-doing as many homework problems as possible.
• Bring questions on the old material as well as on the new stuff.
• Before the exam Friday, write a "cheat sheet" if you want to. Same rules as always.

Due Friday 11/30 at 8am

Exam 3!

Reminders:

• Do PS 12 (group) over the week-end. Re-doing Exam 3 will be PS 12.5 (individual and optional). I'll give you blank copies of the exam Monday, and they'll be done Tuesday.

Here ends the reading for November
Go to the reading assignments for December!

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

Back to: Calculus 1 | My Homepage | Math and CS