Class Date  Notes 
1/8  Discuss syllabus/expectations. Begin discussing section 2.1. Specifically discuss average vs instanteous velocity (pages 8890). Classwork (Did exercises 13) 
1/9  Completed excercises 46 on classwork above. Discussed the definition of instanteous velocity. Discussed what it means for average velocity to be negative, positive, zero. 
1/10  Answered questions on hw solutions. Discussed relationship between the slope of a secant line on the graph of a position function and average velocity as well as the relationship between the slope of a tangent line and instantaneous velocity. 
Illustration of tangent line as limit of secant lines:
http://www.math.psu.edu/dna/graphics.html#secants http://home.acity.de/walter.fendt/me/sectang.htm


1/24  Quiz (p. 111 #13); answered hw questions from 2.4; from 2.5 defined concavity: f is concave up on an interval iff f ' is increasing on the interval. f is concave down on an interval iff f ' is decreasing on the interval. Illustrations. 
1/29  Answered hw questions; discussed (via p. 123 # 11) what it means
for a function to be nondifferentiable at a point; from section 2.5
discussed the equivalency of these statements:
f ' increasing on (a,b); f '' positive on (a,b); f concave up on (a,b) f ' decreasing on (a,b); f '' negative on (a,b); f concave down on (a,b) 
Last Updated on January 29, 2001