MATH 166, Calculus II
Fall 2015
Instructor: Tim Chumley
Office: Carver 492
Email: tchumley@iastate.edu
Phone: 515-294-6047
Webpage: tchumley.public.iastate.edu/m166f13
Office Hours: Tuesdays 3-4, Wednesdays 3-5, Thursdays 4-5, and by appointment
Text: Thomas’ Calculus, Early Transcendentals, 12th Edition, by Weir & Hass
ISBN: 9780321587992
Time and Location: MTRF 12:10-1:00 in Carver 0190.
Credits: 4 units
Attendance policy: You’re expected to come to every class.
Homework: Weekly homework will be assigned through MyLabsPlus and will be due
Wednesdays at 11:59 pm. Suggested problems, not to be turned in, will also be listed on the
course web page for each section. There will be an assignment due on the Wednesday of dead
week.
Quizzes: There will be a weekly 10-15 minute quiz on Fridays except on the first week, dead
week, and weeks when there is an exam. Quizzes will be one to two problems and cover material
up through the previous Tuesday’s lecture. Problems will be selected from a pre-assigned problem
bank which will be provided on the class web page.
Exams: There will be four exams. Two exams will be in class on dates to be announced at least
a week in advance. A cumulative departmental midterm exam will be held on the evening of
Wednesday, October 7 from 8:15 to 9:45pm. The last exam will be a cumulative final on a date
and time TBA.
Make up policy: There are no make up quizzes. Instead, your two lowest quiz scores will be
dropped. If you miss a quiz, your score will be counted as zero. The policy of the mathematics
department allows a student to make up an exam occurring mid semester only under one of the
five following circumstances. Official documentation is required and must be provided at least 10
days in advance of the request, except when such notice is not possible.
1. Medical excuse - student’s own medical emergency.
2. Medical excuse - a member of the student’s family has a medical emergency.
3. Extra curricular activities as a representative of Iowa State University (sponsored sports,
band, etc.).
4. Armed forces deployment (military duty).
5. Officially mandated court appearances, including jury duty.
Calculator policy: On in-class exams and quizzes calculators will be allowed, but all work must
be shown to receive full credit. The calculator policy for the departmental midterm and final
exams will be announced prior to those exams. Only one calculator and no cell phones will be
allowed.
Grading policy: Grades will be assigned based on homework, quizzes, and exams according to
the following weighting. Your two lowest quiz scores will be dropped.
Category
Homework
Quizzes
Exam 1
Midterm
Exam 3
Final
% of grade
15
15
15
20
15
20
Overall letter grades will be based on a scale no stricter than
Percentage
90-100
80-89
70-79
69-60
0-59
Letter grade
A
B
C
D
F
Help: Ask questions! I’m happy to answer questions both in and out of class. My door is open
during office hours; no need to prearrange a meeting, just stop in. If you can’t make it during
office hours, we can schedule another meeting time or I’m happy to try to answer questions over
email. The math department has also arranged a schedule so that there is a Math 166 instructor
or TA holding office hours at all times from 9am to 5pm, Monday to Friday. You may attend any
of these office hours in addition to mine. More information on this schedule will be posted on the
class web page.
Disability acommodation: Please address any special needs or special accommodations with
me at the beginning of the semester or as soon as you become aware of your needs. Those seeking
accommodations based on disabilities should obtain a Student Academic Accommodation
Request (SAAR) form from the Disability Resources (DR) office (515-294-6624). DR is located on
the main door of the Student Services Building, Room 1076. No retroactive accommodations will
be provided.
Academic dishonesty: Don’t cheat. Please see the standard university policies on academic
integrity: http://www.dso.iastate.edu/ja/academic/misconduct.html
Prerequisites: MATH 165 (or equivalent) or satisfactory performance on placement exam. It is
also expected you will satisfy the prerequisites for MATH 165: 2 years of high school algebra, 1
year of geometry, 1 semester of trigonometry or enrollment in MATH 141 or MATH 142.
Course topics, learning objectives: An outline of the topics, chapters, and objectives we will
cover can be found at http://orion.math.iastate.edu/dept/CoursePages/165-6/ and
http://orion.math.iastate.edu/dept/CoursePages/165-6/obj/Objectives_Calc_II.pdf.
I’ll repeat the learning objectives here.
1. Applications of the Integral
Set up and evaluate integrals to calculate
(a) Area of a plane region
(b) Volume of a solid of revolution
(c) Length of a plane curve
(d) Area of a surface of revolution
(e) Work done by a variable force
(f) Force due to fluid pressure
(g) Moments and center of mass of a plane lamina, centroid of a plane region
2. Techniques of Integration
(a) Evaluate integrals of trigonometric functions.
(b) Use trigonometric and rationalizing substitutions to evaluate integrals.
(c) Carry out integration by parts and apply it to evaluate integrals.
(d) Use partial fractions to evaluate integrals of rational functions.
3. Indeterminate Forms and Improper Integrals
(a) Apply l’Hospital’s Rule to evaluate limits having the indeterminate forms
0/0, ∞/∞, 0 · ∞, and ∞ − ∞.
(b) Determine convergence or divergence of improper integrals; evaluate improper integrals
that converge.
4. Infinite Series
(a) Apply limit rules to calculate limits of sequences. Apply the concept of boundedness to
identify convergent monotonic sequences.
(b) Use the concept of partial sum to distinguish between convergent and divergent series
and to define the sum of a convergent series.
(c) Recognize geometric series and collapsing series and calculate their sums when
convergent.
(d) Use the integral test, the comparison test, the limit comparison test and the ratio test
to determine the convergence or divergence of series. Use the error estimate derived
from the integral test to estimate sums or tails of series.
(e) Recognize alternating series, and apply the alternating series test and associated error
estimate. Identify absolutely convergent series.
(f) Determine radius of convergence and convergence set of a power series.
(g) Apply term-by-term integration and differentiation to power series. Perform algebraic
operations on power series.
(h) Expand a function in a Taylor series. Recall and use the Taylor series of elementary
functions.
(i) Use the remainder in Taylor’s formula to estimate the approximation error in a Taylor
polynomial.
5. Plane Parametric Curves, Polar Coordinates
(a) Derive parametric representations for plane curves described mechanically.
(b) Find tangents and compute length for parametric curves.
(c) Use polar coordinates, and convert between polar and rectangular coordinates. Identify
the polar equations for lines, circles and conics.
(d) Compute the area of regions whose boundaries are defined by equations in polar
coordinates.