Reading Assignments for Calculus 1
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:
- 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.
Due Wednesday 4/7 at 10am
Bring Questions for Exam 2
No Reading Questions Today
Reminders:
- 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.
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:
- What are the hypotheses of the Intermediate Value Theorem?
- What is the conclusion of the Intermediate Value Theorem?
Reminder:
- Begin PS 10.
- If you haven't already, finish the calculations for the project.
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:
- If you want to, bring a rough draft of Project 2 to me for some feedback.
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:
- 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.
Reminders:
- 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.
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:
- 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?
Reminder:
- Project 2 is due by 4pm Friday.
- Begin PS 11.
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:
- Let f be any function. What does the area function Af(x) measure?
- Let f(t)=t and let a=0. What is Af(1)?
Reminder:
- The deadline to receive 75% on the differentiation exam is Monday.
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:
- 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 Af increasing? Decreasing? Why?
- How would your answer change if a=0?
Reminder:
- 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.
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:
- 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?
Note:
- 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!
Due Wednesday 4/28 at 10am
Bring Questions for Exam 3
No Reading Questions Today
Reminders:
- 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 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.
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:
- Explain, in your own words, the idea of using Riemann Sums to approximate integrals.
- If f(x) is decreasing on [a,b], will Ln underestimate or overestimate the integral of f from a to b? How about Rn?
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:
- 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 13.
Due Friday 5/7 at 10am
To read:
Review
No Reading Questions Today!
Here ends the reading for the Semester!
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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