For 6 September

• Course Policies
• 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
  • Possible Reading Quiz questions:
    1. Give an example of a function that is defined by a formula.
    2. Give an example of a function that is defined by words, without an explicit formula.
    3. Is the balloon in Example 5 rising or falling at time t=6 minutes? Explain.

For 11 September

• To read: All
• Be sure to understand: Example 3; Example 4 part 3; Operations with constants
• Possible Reading Quiz questions:
  1. Give an example of a graph that is not the graph of a function.
  2. For which values of x is the graph in Example 3 increasing? decreasing?
  3. 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 13 September

• To read: All
• Be sure to understand: The Six views of the sine function; Example 1

• To read: All
• Be sure to understand: The Five Examples; the definition of domain and range of a function
• Possible Reading Quiz questions:
  1. Give the domain and range of the function f(x)=x^2.
  2. Let g(t) = the world's human population t years C.E. Give the domain and range of g.
  3. Draw the graph of a periodic function.

For 16 September

• To read: Pages 61-65 (We'll do the first part of the section on Wednesday)
• Be sure to understand: The sine and cosine function defined as circular functions (pg 62)
• Possible Reading Quiz questions:
  1. Draw the graph sin(x). What are the domain and range?
  2. Draw the graph cos(x). What are the domain and range?
  3. Using the graph of sin(x), explain why the sine function is 2*Pi periodic.

For 18 September

• To read: Pages 49-61
• Be sure to understand: The definition of an exponential function and the definition of a logarithm function.
• Possible Reading Quiz questions:
  1. What is the domain of the rational function r(x) = x^2/(x^2-1) in Example 3? Why?
  2. Draw the graph of the natural exponential function e^x. What are the domain and range?
  3. Draw the graph of the natural exponential fuction ln(x). What are the domain and range?

For 20 September

• To read: Through Example 4
• Be sure to understand: The definition of the composition of two functions.
• Possible Reading Quiz questions:
  1. Let f(x)=x^2 and g(x)=sin(x). What is (f o g)(x)?
  2. Let f(x)=x^2 and g(x)=sin(x). What is (g o f)(x)?
  3. In Example 3, what is (f o g)(-1)?

For 23 September

• To read: Through page 100
• Be sure to understand: Pages 94-96 on Rates, Amounts, and Cars: The Prime Example
• Possible Reading Quiz questions:
  Look at the graphs of P(t) and V(t) on page 95.
  1. Is the derivative of P positive or negative at t=5?
  2. Is the second derivative of P positive or negative at t=5?
  3. Give a value of t where the derivative of P is zero.

For 24 September

• To read: All
• Be sure to understand: Examples 1, 4, and 5

For 25 September

• 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
• Possible Reading Quiz questions:
  Look at the graph of f' in Example 2:
  1. Where does f have stationary points?
  2. Where is f increasing?
  3. Where is f concave up?

For 30 September

• To read: All
• Be sure to understand: The Second Derivative Test
• Possible Reading Quiz questions:
  No quiz today!

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