Instructor - J. Iaia
Office - GAB 420
Office phone - 4704
Office hours - MW 11-1 or by appt.
e-mail - iaia@unt.edu
Exam 1: Feb. 11
Exam 2: Mar. 11
Exam 3: Apr. 15
Final : May 11, 8am-10am.
Ex 2.1 - 1,2
Ex 2.2 - 12-32 even
Ex 2.4 - 1,2,3,11-18
Ex 2.4 - 4-8, 22-30 even
Ex 2.3 - 38,43,44
Show that the limit as x goes to 3 of (x+3)/(x+4) is 6/7.
Show that the limit as x goes to 3 of 1/(x-4) is -1.
Show that the limit as x goes to 4 of the square root of x is 2.
1. Prove lim_{x -> 2} x^4 = 16.
2. Prove lim_{x -> 1} x + (1/x) = 2.
3. Prove lim_{x -> 1/5} (1/x) = 5.
Ex. 2.6 - 1-4, 35-40
Use the definition of derivative (as a limit) to find the derivative of: f(x) = x^3, f(x) = 1/x, f(x) = x^2 + x, and f(x) = x^(1/3).
Ex. 3.1 - 27-30, 39-44
Ex. 3.2 - 1-10
Ex. 3.2 - 17-26, 39,40
Ex. 3.4 - 7-20
Ex. 3.4 - 3-6, 21-26
Ex. 3.5 - 28-46 even, 59
Ex. 3.3 - 9,11,12,13
Ex. 3.5 - 27-47 odd
Ex. 3.7 - 11,15,17,18,21,22,27,32,36
Ex. 3.7 - 24a,33,35,37a,38
Ex. 3.6 - 20-32 even, 46,59
Ex. 4.1 - 35-44 - find the critical points
Ex. 4.3 - 12,18,22 - sketch the graph
Ex. 4.4 - 14,18,20,32,34
Ex. 4.4 - 23,24,44,46,68,70
Ex. 4.5 - 8,10,11,12,14
p. 239 - 114,115,117
pp. 320-321 - 63,65,68
Ex. 5.1 - 1,3
Find the underapproximation to the area under y=x^2 on [0,b] by subdividing [0,b] into n subintervals of equal length.
Find the limit of the expression found in class.
Ex. 5.4 - 1-20
Ex. 5.4 - 32,34,37-46
Ex. 5.4 - 22,24,26,30,31,33,35,55
Ex. 5.5 - 7,9,18,20,21,27,36,38,41
Ex. 5.6 - 30,32,34,35,36,40
Ex. 4.2 - 1-8,58,59
Ex. 6.1 - 13,16,20-22,45a,48a
Ex. 6.2 - 1,2,5,6, 7-10, 19-22
Ex. 6.2 - 27a,b,28a,b,31,33a,34b
pp. 388-390 - 17,18, 37-44, 61-69
Find an underapproximation and overapproximation to the area under y=x^3 on [0,b] by dividing [0,b] into n subintervals of equal length. You will need the formula: 1^3 + 2^3 + 3^3 + . . . + (n-1)^3 + n^3 = [n(n+1)/2]^2.
Ex. 6.3 - 22,23,24
p. 462 - 7a,b,11,13a,14
Revolve the region inside the ellipse (x/a)^2 + (y/b)^2 = 1 around the x-axis and find the volume of this region.
Ex. 6.5 - 13,14,15,16,26
Ex 4.7 - 2,4,5,15
Ex 6.6 - 2-10 even, 13,14
Ex 6.6 - 16a,18,21,23
Ex 6.7 - 5a,11,14,22
Old exam problems
Students are responsible for all work assigned and announcements made during class whether or not they are present.
Students are expected to be respectful of others at all times. This includes stepping out into the hall if you receive a call on your cell phone! Disruptive students will be asked to leave.
Cheating will not be tolerated.
Students with disabilities are responsible for providing me with appropriate documentation from the Dean of Students office.
Last update: August 22, 2004