Math 131 Calculus I Syllabus Spring 2011
Instructor Katherine Bird Loyola Hall Room 315 773.508.3565 [email protected]
Required Text book: D. Hughes-Hallett, A. Gleason, et al, Applied Calculus with Wiley-Plus, 4th edition, Wiley (2009), ISBN: 978-0470-57877
Final Review: Chapters 5 and 6
1. (a) She begins to bounce back upward when v(t) changes from positive to negative which occurs at
a time t when v(t) = 0. Solving v(t) = 4t2 + 16t = 4t(t 4) = 0 gives t = 0 and t = 4. So
she begins to bounce back up at t =
Final Review: Chapters 1 through 4
1. (a) Since each year her salary grows by a constant amount, we should use a linear function to model
her salary. The slope is 1,500 and the initial salary is 50,000, which gives m(t) = 50,000+1,500t.
(b) Since each yea
Exam 2 Review: Sections 4.1-4.5 and 5.1-5.4
eet: 1 Page: 1 (March 9, 2014 11 : 55) [4-1h25-main]
1. f has critical points when f 0 (x) = 0. From the graph we see f 0 touches the x-axis at three points
(marked by red points in the figure below), so f has t
1
loga M N = loga M + loga N
4
loga M t = tloga M
7
loga M = T means M = aT
10
( n )
n1
x = nx
13
( )
u = u v uv
v
v2
16
[
n ]
n1
(U (x) = n (U (x) U (x)
19
u (x)
(ln u(x) =
u(x)
22
1
1
(f ) (y) = 1
f (f (y)
25
(sin x) = cos x
28
(tan u(x) = sec2 u(x) u