Reading Assignments -
Math 101 - Calculus I
September 1997
Be sure to check back often, because the assignments may change.
For September 5
Course Policies
Notes on Reading Assignments
Notes for Students (pg xix in the text)
Section 1.1 Functions, Calculus Style
- To read: Through Example 6
- Be sure to understand: Examples 5 and 6
Email Subject Line: Math 101 9/5 Your Name
Reading Questions:
- Give an example of a function that is defined by words, without an explicit formula.
- Using the function m(x) in Example 4, what is m(2)?
- Is the balloon in Example 5 rising or falling at time t=4 minutes? Explain.
For September 8
Section 1.2 Graphs
- To read: All
- Be sure to understand: Example 3; Example 4 part 3;
Operations with constants
Email Subject Line: Math 101 9/8 Your Name
Reading Questions:
- Explain why the graph of x^2+y^2=1 in Example 1 is not the graph of a function.
- For which values of x is the graph in Example 3 increasing? decreasing?
- How does the graph of f(x)+2 compare with the graph of f(x)? the graph of
2 f(x) to the graph of f(x)?
For September 10
Section 1.3 Machine Graphics
- To read: All
- Be sure to understand: The Six views of the sine function; Example 1
Section 1.4 What is a Function?
- To read: All
- Be sure to understand: The Five Examples; the definition of domain and range of a function
Email Subject Line: Math 101 9/10 Your Name
Reading Questions:
- Give the domain and range of the function f(x)=x^2.
- Let g(t) = the world's human population t years C.E. Give the domain
and range of g.
- How can you recognize a periodic function from its graph?
For September 12
Re-read Notes on Reading Assignments
Section 1.5 A Field Guide to Elementary Functions
- To read: Pages 49-61
- Be sure to understand: The definition of an exponential function and the definition of a logarithm function.
Email Subject Line: Math 101 9/12 Your Name
Reading Questions:
- What is the domain of the rational function r(x) = x^2/(x^2-1) in Example 3?
Why?
- Every exponential function f(x)=b^x passes through a common point. What is it? Why?
- Every logarithmic function g(x)=log_b(x) passes through a common point. What is it? Why?
For September 15
Section 1.5 A Field Guide to Elementary Functions (continued)
- To read: Pages 61-65
- Be sure to understand: The sine and cosine function defined as circular functions (pg 62)
Email Subject Line: Math 101 9/15 Your Name
Reading Questions:
- What are the domain and range of sin(x)?
- What are the domain and range of tan(x)?
- What is the period of the cosine function? How can you tell?
For September 17
Section 1.6 New Functions from Old
- To read: Through Example 4
- Be sure to understand: The definition of the composition of two functions.
Email Subject Line: Math 101 9/17 Your Name
Reading Questions:
- Let f(x)=x^2 and g(x)=sin(x) . What is (f o g)(x) ?
- Let f(x)=x^2 and g(x)=sin(x) . What is (g o f)(x) ?
- In Example 2, explain why (f o g)(-4) is undefined.
For September 19
No Reading Assignment today because of the project.
For September 22
Section 2.1 Amount Functions and Rate Functions: The Idea of the Derivative
- To read: Through page 100
- Be sure to understand: Pages 94-96 on
Rates, Amounts, and Cars: The Prime Example
Email Subject Line: Math 101 9/22 Your Name
Reading Questions:
Look at the graphs of P(t) and V(t) on page 95.
- Is the derivative of P positive or negative at t=5 ?
- Is the second derivative of P positive or negative at t=5 ?
- Give a value of t where the derivative of P is zero.
For September 24
Section 2.2 Estimating Derivatives: A Closer Look
- To read: All
- Be sure to understand:
Examples 1, 4, and 5
Email Subject Line: Math 101 9/24 Your Name
Reading Questions:
- What does the term "locally linear" mean?
- Explain why the derivative of f(x)=|x| does not exist at x=0.
For September 26
Re-read Course Policies
Section 2.3 The Geometry of Derivatives
- To read: All
- Be sure to understand: The Extended Example beginning on page 118; The definitions of stationary point, local maximum and minimum, global maximum and minimum, concave up
and concave down; The First Derivative Test
Email Subject Line: Math 101 9/26 Your Name
Reading Questions:
Look at the graph of f ' in Example 2:
- Where does f have stationary points?
- Where is f increasing?
- Where is f concave up?
For September 29
Section 2.4 The Geometry of Higher-Order Derivatives
- To read: All
- Be sure to understand: The Second Derivative Test
Email Subject Line: Math 101 9/29 Your Name
Reading Questions:
Use the graphs of f, f ', and f ' ' on page 133.
- By looking at the graph of f '', how can you tell where f is concave up and concave down?
- By looking at the graph of f ', how can you tell where f is concave up and concave down?
Math 101 Home |
T. Ratliff's Home
Layout by Tommy Ratliff, tratliff@wheatonma.edu
Wheaton College, Norton, Massachusetts
Last Modified: