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. 7
Exam 2: Mar. 7
Project: Apr. 11
Exam 3: Apr. 18
Final : May 7, 8am-10am.
Ex. 2.2 - 19-20
Ex. 2.3 - 37-40, 43-44
Ex. 2.3 - 54-74 even
Ex. 2.4 - 10,11,17-22,36
Ex. 2.5 - 27-30
Ex. 2.6 - 9-18, 61-66, 70, 71c
Ex. 2.7 - 17a,17b,19,20,21,35,36,38
Ex. 2.7 - 37
Use an epsilon, delta proof to show that the limit as x goes to 1/4 of sqrt{x} = 1/2.
Use an epsilon, delta proof to show that the limit as x goes to 4 of 1/(x-5) = -1.
Ex. 3.1 - 49-52 (part a. only)
Ex. 3.2 - 7-24
Ex. 3.3 - 7-10, 17-20, determine [cot(x)]', [csc(x)]', and {(x^2 + 6x + 1)(sin x)/ [x^2 + cos x]}'
Chap. 2 Review - 10-14, 43,44,46
Chap. 3 Review - 15,17
Use the definition of derivative to find f'(x) if f(x) = x^2 + (1/x)
Ex. 3.1 - 41-46
Chap. 3 Review - 13,14,21
Use an epsilon, delta proof to show the limit as x goes to 4 of (x^2+1)/x is 17/4.
Use an epsilon, delta proof to show the limit as x goes to 1/3 of 1/x^2 is 9.
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Ex. 3.6 - 23-28, 31, 37-44
Ex. 3.7 - 11-20, 27-30
Ex. 3.8 - 9,12,17,20,22
Ex. 3.8 - 19,23,24a,26,29,36
Ex. 3.5 - 17,26,27,37
Ex. 4.1 - 15-22, 23-30 (part a only)
Ex. 4.1 - 33,34,37,38,39 - find the critical points and sketch the graph
Study for Derivative Quiz!
Ex. 4.2 - 11-14, 31-33, 39-42
Ex. 4.3 - 11,13,14,18,20
Chap 4 Review p. 249 - 8,10
Sketch the graph of f(x) = x^3 + 3x^2-9x-27.
Sketch the graph of f(x) = x sqrt{3-x}.
Sketch the graph of f(x) = x^{4/3} + 4 x^{1/3}.
4.3 - 11,13,14,18,20
p. 176 - 51-53
Sketch the graph of f(x) = 4x^{1/3} - x^{7/3}.
Sketch the graph of f(x) = x/(x^2+1).
Chap. 3 Review - p. 175 - 19-26
Ex. 4.4 - 10a,11,19,20,23
Ex. 4.4 - 13,27,53a,b,c
Ex. 4.6 - 15-21 odd, 29
Ex. 4.7 - 17-26
Ex. 4.7 - 39-47
Approximate the area under y=x^3 on [0,b] by subdividing [0,b] into n subintervals of equal length and then finding an overapproximation and underapproximation to the area. Then take the limit as n goes to infinity. You'll need that the sum of k^3 as k goes from 1 to n is [n(n+1)/2]^2.
Approximate the area under y=cos(x) on [0,b] where by subdividing [0,b] into n subintervals of equal length and then finding an overapproximation and underapproximation to the area. Then take the limit as n goes to infinity. You'll need that the sum of cos(kx) as k goes from 1 to n is sin((n+1/2)x)/[2sin(x/2)] + 1/2.
Ex. 4.8 - 17-30
Ex. 5.3 - 67-70 part b, 72-77
Ex. 5.5 - 35-44
Chapter 5 Review - 15-25
Ex. 6.2 - 9-18
Ex. 6.3 - 18-24
Ex. 6.4 - 5-12
Ex. 6.5 - 3-6
Homework #34 - Due 4/17
Find the surface area of the region obtained by revolving y = sqrt[R^2 - x^2] around the x-axis above the interval [-R,R].
Find the surface area of the region obtained by revolving y = a + sqrt[R^2 - x^2] around the x-axis above the interval [-R,R] and add to this the surface area of the region obtained by revolving y = a - sqrt[R^2 - x^2] around the x-axis above the interval [-R,R].
Chap. 4 Review - 26-32
Chap. 5 Review - 17-25 odd, 26
Chap. 6 Review - 9,12,20,24
Homework #35 - Due 4/25
Ex. 6.6 - 26,29,32,33,34,43
Homework #36 - Due 5/2
old exam problems handed out in class
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.
The University of North Texas makes reasonable academic accommodation for students with disabilities. Students seeking accommodation must first register with the Office of Disability Accommodation (ODA) to verify their eligibility. If a disability is verified, the ODA will provide you with an accommodation letter to be delivered to faculty to begin a private discussion regarding your specific needs in a course. You may request accommodations at any time, however, ODA notices of accommodation should be provided as early as possible in the semester to avoid any delay in implementation. Note that students must obtain a new letter of accommodation for every semester and must meet with each faculty member prior to implementation in each class. For additional information see the Office of Disability Accommodation website at http://www.unt.edu/oda. You may also contact them by phone at 940.565.4323.
Last update: August 22, 2004