- Begin PS 9.
- Try to have the mathematical calculations for the project done by Monday morning.
- The deadline for receiving 100% on the Differentiation Exam is Monday at 3pm.
- Begin studying for Exam 2 over the week-end, if you haven't already.
- Rachel's help session is Wednesday night, 7:30-8:30pm in A118 -- if she knows to come! If you plan to meet with her, e-mail her at rzeigowe before 5pm. Give her an idea of what you plan to ask her -- the numbers of the homework questions, or the topic that's causing difficulties.
- Get questions on PS 9 out of the way
**before**class! - 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 Thursday.
- What are the
**hypotheses**of the Intermediate Value Theorem? - What is the
**conclusion**of the Intermediate Value Theorem? - Begin PS 10.
- If you haven't already, finish the calculations for the project.
- If you want to, bring a rough draft of Project 2 to me for some feedback.
- What are the
**hypotheses**of the Mean Value Theorem? - What is the
**conclusion**of the Mean Value Theorem? - Explain the MVT using "car talk" -- that is, using velocity.
- Rachel's help session is Wednesday night, 7:30-8:30pm in A118 -- if she knows to come! If you plan to meet with her, e-mail her at rzeigowe before 5pm. Give her an idea of what you plan to ask her -- the numbers of the homework questions, or the topic that's causing difficulties.
- Bring questions on PS 10.
- What does the integral of a function f from x=a to x=b measure?
- Is the integral of f(x)=5x from x=-1 to x=3 positive or negative?
- Project 2 is due by 4pm Friday.
- Begin PS 11.
- Let f be any function. What does the area function A
_{f}(x) measure? - Let f(t)=t and let a=0. What is A
_{f}(1)? - The deadline to receive 75% on the differentiation exam is Monday.
- Find the area between the x-axis and the graph of f(x)=x^3+4 from x=0 to x=3.
- Does every continuous function have an antiderivative? Why or why not?
- If f(x)=3*x-5 and a=2, where is A
_{f}increasing? Decreasing? Why? - How would your answer change if a=0?
- Rachel's help session is Wednesday night, 7:30-8:30pm in A118 -- if she knows to come! If you plan to meet with her, e-mail her at rzeigowe before 5pm. Give her an idea of what you plan to ask her -- the numbers of the homework questions, or the topic that's causing difficulties.
- Bring questions on PS 11.
- Begin PS 12.
- Explain the difference between a definite integral and an indefinite integral. I do not simply mean whether one is a number or a family, but what they each
*represent*. - What are the three steps in the process of substitution?
- Substitution attempts to undo one of the techniques of differentiation. Which one is it?
- This reading assignment was originally assigned for this past Friday. If you already sent it to me, there's no need to send it to me again. If you didn't ... I guess you get a second chance!
- Get questions on PS 12 out of the way
**before**class! - As usual, 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 for the exam. - As before, you may begin taking the exam at 12:30pm Thursday.
- Begin PS 13.
- Explain, in your own words, the idea of using Riemann Sums to approximate integrals.
- If f(x) is decreasing on [a,b], will L
_{n}underestimate or overestimate the integral of f from a to b? How about R_{n}? - Bring questions on PS 13.

Spring 2004, Math 101

**April and May 2004**

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

(Last modified:
Monday, May 3, 2004,
10:48 AM )

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 Friday 4/2 at 10am__

**Work on Project 2**

**No Reading Questions Today!**

**Reminder:**

** Due Monday 4/5 at 10am**

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

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

**No Reading Questions Today**

**Reminder:**

__ Due Wednesday 4/7 at 10am__

**Bring Questions for Exam 2**

**No Reading Questions Today**

**Reminders:**

__ Due Friday 4/9 at 10am__

**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 101 *Name* 4/9

**Reading questions:**

**Reminder:**

** Due Monday 4/12 at 10am**

**The Temperature at the Equator and the IVT**

**To read:** Re-read Section 4.8 carefully.

**No Reading Questions Today!**

**Reminder:**

__ Due Wednesday 4/14 at 10am__

**Section 4.9 Why Differentiability: The Mean Value Theorem**

**To read:** All. Be sure to understand the statement of the Mean Value Theorem and the section "What the MVT says."

**E-mail Subject Line:** Math 101 *Name* 4/14

**Reading questions:**

**Reminders:**

__ Due Friday 4/16 at 10am__

**Section 5.1 Areas and Integrals**

**To read:** All. Be sure to understand the definition of the integral, Example 2, and the section "Properties of the Integral" beginning on page 306.

**E-mail Subject Line:** Math 101 *Name* 4/16

**Reading questions:**

__ Due Monday 4/19 at 10am__

**Section 5.2 The Area Function**

**To read:** All. Make sure you understand the definition of the area function and Examples 2, 3, and 4.

**E-mail Subject Line:** Math 101 *Name* 4/19

**Reading questions:**

**Reminder:**

__ Due Wednesday 4/21 at 10am__

**Section 5.3 The Fundamental Theorem of Calculus**

**To read:** All, but you can skip the proof of the FTC if you'd like: we'll look at a different approach in class.

**E-mail Subject Line:** Math 101 *Name* 4/21

**Reading questions:**

**Reminder:**

__ Due Friday 4/23 at 10am__

**Section 5.3 The Fundamental Theorem of Calculus**

**To read:** Re-read this section.

**No Reading Assignment Today!**

**Reminder:**

__ Due Monday 4/26 at 10am__

**Section 5.4 Finding Antiderivatives: The Method of Substitution**

**To read:**
All. Be sure to understand Examples 8, 9, and 10.

**E-mail Subject Line:** Math 101 *Name* 4/23

**Reading questions:**

**Note:**

__ Due Wednesday 4/28 at 10am__

**Bring Questions for Exam 3**

**No Reading Questions Today**

**Reminders:**

__ Due Friday 4/30 at 10am__

** Section 5.4 Finding Antiderivatives: The Method of Substitution**

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

**No Reading Questions Today!**

**Reminder:**

__ Due Monday 5/3 at 10am__

**Section 5.6 Approximating Sums: The Integral as a Limit**

**To read:**
All. Be sure to understand the definitionof a Riemann Sum and Example 3.

**E-mail Subject Line:** Math 101 *Name* 5/3

**Reading questions:**

__ Due Wednesday 5/5 at 10am__

**Section 5.6 Approximating Sums: The Integral as a Limit**

**To read:**
Re-read this section, making sure it all makes sense to you now.

**No Reading Questions Today!**

**Reminder:**

__ Due Friday 5/7 at 10am__

**To read:**
**Review**

**No Reading Questions Today!**

**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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