| Week |
Date |
Topic |
Homework Due |
Reading |
Goals / Notes |
| 10 |
4/10/06 |
Area function (23.1)
|
PS22: §22.4 #1, 2, 3, 5, 6, 8 (Note #1 and #2 should be done
using the properties and signed area.)
|
§23.1, particularly the "Big Picture" on p. 743 and Example
23.1 |
Understand the area function and how it can also be interpreted
as a net change function, Be able to find the area function for
certain simple functions
|
| 4/11/06 |
Workshop #7 |
| 4/12/06 |
Properties of the area function (23.2) Let your TF
know which project topic your group has selected by
today |
PS23: §23.1 #2, 3, 4;
|
§23.2, particularly Example 23.2 |
Be able to determine characteristics of the area
function (such as increasing/decreasing, concave up/down, extrema)
given a graph of the original function, Explore the relationship
between the area function and the original function. |
| 4/13/06 |
Problem Session: A quiz covering
the same types of questions as were on the first part of the
midterm exam will be given during problem session. This quiz will
be counted as part of your quiz/homework grade. |
| 4/14/06 |
Fundamental Theorem of Calculus I (23.3) |
PS24: §23.2 #1, 2, 3
|
§23.3, particularly the statement of the fundamental theorem on
p. 758 |
Understand the statement and the proof of the
Fundamental Theorem of Calculus, part I
|
| 11 |
| 4/17/06 |
Fundamental Theorem of Calculus II (24.1) |
PS25: §23.3 #1, 2, 3, 4
|
§24.1 |
Understand the Fundamental Theorem of Calculus,
part II and be able to use it to calculate definite integrals, find
area under curves, and determine net change given rate of
change |
| 4/18/06 |
Workshop #8 |
|
|
|
| 4/19/06 |
Average value (24.2) and Antidifferentiation (25.1) |
PS26: §24.1 #2, 5 |
§24.2, particularly p. 777; §25.1, particularly the definition
on p. 783 |
Be able to calculate the average value of a function
|
| 4/20/06 |
Review Session from 5-6:30 pm in
Science Center Hall A. |
| 4/21/06 |
"Guess and Check" and Substitution I (25.2) Draft
of project summary papers due to your TF today by
4pm. |
PS27: §24.1 #6, 8, 11; §24.2 #1, 3 |
§25.2, particularly example 25.2 |
Be able to use "guess and check" to find antiderivatives of
certain functions, Understand the connection between the chain rule
and the method of substitution, Be able to use substitution to find
certain antiderivatives and definite integrals
|