THE UNIVERSITY OF AKRON
Department of Theoretical and Applied Mathematics
3450:222, Section 5
Calculus II: Analytic Geometry
4 credits
Spring 2016
INSTRUCTOR: Dr James P (J.P.) Cossey Room: CAS 234 Phone: 972-8127
email: cossey@uakron.edu (email is definitely the best way to get in touch with me)
TEXT: Caclulus, Seventh Edition, by James Stewart. The bookstore should have a
number of copies, and there should be plenty online. Note that we will NOT be using
any of the online supplements or other things they try to get you to spend money on, so
you can ignore those.
PREREQUISITES: [3450:221 with a grade of C- or better], or Placement. You are
responsible for having the appropriate prerequisite. Not having the right prerequisite may
cause the withdrawal of your name from the course without refund.
CALCULATOR: The use of a graphing calculator is NOT permitted on any in class
quizzes or exams.
OFFICE HOURS Office hours will be announced in class and posted on the course
webpage: http://www.math.uakron.edu/~cossey/calc2spring16.html . If you cannot
make the posted office hours, send me an email and we can try to figure out a time to
meet. In addition, the course has a graduate assistant who will be holding regular office
hours, times to be announced.
Tests and Quizzes: There will be three one-hour tests, and a uniform comprehensive
final exam. The final exam is Tuesday, May 10th, 7:45 AM - 9:45 AM. In addition a
quiz, based on that week’s homework and the reading, will be given every Friday. Makeup quizzes will not be given, though the lowest quiz grade will be dropped.
Homework: Homework will be assigned once a week on the webpage
http://www.math.uakron.edu/~cossey/calc2spring16.html
and will be due on Fridays. Homework will not be collected, however, the quiz each
Friday will be based on the homework problems and the readings.
Basic content reviews: There will be several basic content reviews that you will be
required to complete at the beginning of the semester, covering topics such as algebra
skills, trigonometry, and differentiation. These will be worth a total of 50 points.
GRADES: Each of the one-hour tests will be worth 100 points, the final 200 points, the
quizzes will be worth a total of 100 points (after rescaling if necessary), and the basic
content reviews 50 points. This gives a total of 650 points for the semester. Quizzes are
based on all problems assigned and the readings. The final scale will be
F<60%≤D...D+<70%≤C-...C+<80%≤B-...B+<90%≤A-<92%≤A
POLICIES: In the case of a missed test, permission prior to missing test is needed for a
makeup test. No make up quizzes will be given. See
http://www.uakron.edu/registrar/dates/springad.dot
for information on add/drop deadlines. Attendance is required. No activated electronic
devices (cell phone, pager, etc) are allowed in the classroom. Plus and minus grading
system will be used.
Quizzes must show all work. Only writing the answer of each problem is not
enough.
TUTORING HELP: Calculus tutoring is available in the Tutorial Center:
http://www.uakron.edu/colleges/univcoll/tutor.php
OFFICE OF ACCESSIBILITY: Any student who feels he/she may need an
accommodation based on the impact of a disability should contact the Office of
Accessibility at 330-972-7928. The office is located in Simmons Hall, Room 105.
Approximate schedule: The following is an APPROXIMATE schedule of what we will
be covering when. This is certainly subject to change.
Week 1
Review of Integration by Substitution
6.1 Areas between Curves
6.2 Volumes
Week 2
6.3 Volumes by Cylindrical Shells
6.5 Average Value of a Function
7.1 Integration by Parts
Week 3
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
Week 4
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
Week 5
7.7 Approximate Integration (time permitting)
7.8 Improper Integrals
TEST #1
Week 6
8.1 Arc Length
8.2 Area of a Surface of Revolution
8.3 Centroids
Week 7
11.1 Sequences
11.2 Series
Week 8
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
Week 9
11.5 Alternating Series
TEST #2
Week 10
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
Week 11
11.8 Power Series
11.9 Representations of Functions as Power Series
Week 12
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials
Week 13
10.1 Curves defined by Parametric Equations
10.2 Calculus with Parametric Curves
Week 14
10.3 Polar Coordinates
10.4 Areas and Lengths in Polar Coordinates
TEST #3
Week 15
10.5 Conic Sections (time permitting)
10.6 Conic Sections in Polar Coordinates (time permitting)
Finals week
FINAL EXAMINATION
Learning objectives for Calc II:
Students are expected to be able to:
(1) Communicate mathematical results through the proper use of mathematical notation
and words
(2) Use basic integration techniques, including substitution, integration by parts, trig
integrals, trig substitution, and partial fractions
(3) Apply integration techniques to solve problems regarding volume, surface area,
length of a curve, and other applications
(4) Understand sequences and series, including tests of convergence and divergence of
series
(5) Work with power series and Taylor series and their basic properties
(6) Understand parameterized curves and polar coordinates.