- 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 2:30pm.
- Begin studying for Exam 2 over the week-end, if you haven't already.
- 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 CLC 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 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. Get a good start on writing the letter.
- 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.
- If you want to, bring a rough draft of Project 2 to me for some feedback.
- Keep on using the CLC and my office hours!
- Bring remaining questions on PS 10 to class.
- 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 2:30pm 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?
- Even if you've never been before, go to the CLC during its Calculus tutoring hours, and come see me during my office hours!
- 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?
- Visit my office hours and visit the CLC while clearing up questions before the exam!
- Get questions on PS 12 out of the way
**before**class. PS 12 should be done before class so that you can focus on reviewing. - 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}? - As the semester comes to a close, make the time to visit my office hours and the CLC.
- Bring remaining questions on PS 13 to class.
- If anybody still hasn't passed the differentiation exam, the deadline to receive any credit at all (50%) is Friday at 2:30 pm.

Spring 2005, Math 101

**April and May 2005**

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

(Last modified:
Tuesday, May 3, 2005,
9:52 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 4/1 at 9am__

**Work on Project 2**

**No Reading Questions Today!**

**Reminder:**

__ Due Monday 4/4 at 9am__

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

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

**No Reading Questions Today**

**Reminder:**

__ Due Wednesday 4/6 at 9am__

**Bring Questions for Exam 2**

**No Reading Questions Today**

**Reminders:**

** Due Friday 4/8 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 101 *Name* 4/8

**Reading questions:**

**Reminder:**

__ Due Monday 4/11 at 9am__

**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* 4/11

**Reading questions:**

**Reminder:**

__ Due Wednesday 4/13 at 9am__

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

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

**No Reading Questions Today**

**Reminders:**

__ Due Friday 4/15 at 9am__

**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* 4/15

**Reading questions:**

__ Due Monday 4/18 at 9am__

**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* 4/18

**Reading questions:**

**Reminder:**

__ Due Wednesday 4/20 at 9am__

**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* 4/20

**Reading questions:**

**Reminder:**

__ Due Friday 4/22 at 9am__

**Section 5.3 The Fundamental Theorem of Calculus**

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

**No Reading Questions Today!**

**Reminder:**

__ Due Monday 4/25 at 9am__

**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* 4/29

**Reading questions:**

__ Due Wednesday 4/27 at 9am__

**Bring Questions for Exam 3**

**No Reading Questions Today**

**Reminders:**

__ Due Friday 4/29 at 9am__

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

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

**No Reading Questions Today**

**Reminders:**

__ Due Monday 5/2 at 9am__

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

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

**No Reading Questions Today:**

__ Due Wednesday 5/4 at 9am__

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

**To read:** All

**E-mail Subject Line:** Math 101 *Name* 5/4

**Reading questions:**

__ Due Friday 5/6 at 9am__

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

**To read:** Re-read all

**E-mail Subject Line:** No Reading Questions Due Today (so you're done for the semester!)

**Reminder:**

**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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