March 7, 2008
Review for Exam I
- MATH 221 - Spring 2008.
Exam I covers sections 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 2.1, 2.2
Time
: The exam will take 75 minutes between 5 PM and 7 PM, Friday, March 14, 2007.
Please bring your Student ID and a graphing calculator (check its batteries).
Locations
: Please go to the room assigned to your section!
Room 130 SMI: Sections 030, 031, 032, 033;
Room 140 SMI: Sections 040, 041, 042, 043.
I.
Textbook Examples and Exercises
Section 1.2
The slope of a curve at a point, the slope of a curve as a rate of change.
Examples
on pages 72-74: 1, 3, 4.
Exercises
on pages 76-78: 19-38.
Section 1.3
The derivative. Diﬀerence quotient. The geometric meaning of the derivative, the
equation of the tangent line, the secant line calculation of the derivative, the limit deﬁnition of the
derivative,
Examples
on pages 81-88: 1, 2, 3, 4, 6.
Exercises
on pages 89-91: 28-86.
Section 1.4
Limits and the derivative. Limit Theorems. Using limits to calculate
f
0
(
a
). Limits
at inﬁnity. Using limits to determine vertical and horizontal asymptotes.