MAT 272 CALCULUS
INSTRUCTOR:
Dr. Katie Kolossa
Office: PSA 825
Phone #: 965-6437
email: kolossa@math.asu.edu
Office Hours: 11:40-12:30 MW, 1:40-2:30 W, 1:40-2:30 Th, 8:40-9:30 F and by appt
homepage: http://math.la.asu.edu/~kolossa
PREREQUISITES:
MAT 271 (Calculus II) or equivalent with a grade of C or better.
TEXTBOOK:
Calculus, by James Stewart, Fifth Edition or Multivariable Calculus, by James Stewart,
Fifth Edition (just the third part of the first text)
GRADING:
13%
10%
52%
25%
Homework, Labs, Journals and SSS
Quizzes and Class Participation
In-class tests
Final Exam
GRADING SCALE:
A-, A, A+: 89.5-92.9, 93-96.9, 97-100%
B-, B , B+ : 79.5-82.9, 83-86.9, 87-89.4%
C, C+ : 70-75.9, 76-79.4%
D: 60-69.9%
E: 59.9% or less.
CALCULATORS:
A graphing calculator is recommended but not needed. You may NOT use a TI-89, 92
or a laptop on exams.
SOFTWARE:
We will use MAPLE 10, a commercial computer algebra system. MAPLE can be
accessed from both Macs and PCs at any of the campus computing sites and at the ECA
Computer Lab or can be purchased in the bookstore.
FINAL EXAM
will be comprehensive and will be given on Saturday, December 10th at 7:40 AM
COURSE POLICIES: Students are responsible for assigned material whether or not it is covered in class.
Students are responsible for material covered in class whether or not it is in the text.
Working regularly on assigned problems and attending class are essential to survival.
You are expected to read the text, preferably before the material is covered in class.
Written homework will be collected on Fridays at the beginning of the class. No late
HW will be accepted and no make-up quizzes will be given. Homework problems
will be announced in class and listed on my web page. Make-up exams are at the
discretion of the instructor. In any case, no make-up exam will be given unless the
student has notified the instructor before the test is given. Message may be left in my
office, at the main office (965-3951) or through email. You must make every
reasonable effort to notify me before the exam is given and document your reason for
missing the exam.
HOMEWORK:
Will be posted on my web page as the semester goes on:
http://math.la.asu.edu/~kolossa/mat272/hw.html. Homework will be a very important part of
your learning. You cannot expect to solve all assigned problems easily. Some problem will
require more time and effort. Even if you are unable to solve the entire problem, the time spent
on trying is not wasted. Try to emphasize understanding rather than memorization when you are
working on the problems. I recommend that you form study groups to work together on the
problems. You need to explain everything on your homework solutions for full credit. In
addition to your written homework we will use WeBWork as an evaluation tool to practice the
basics. These homework problems will be put on the web and you will solve the problems on
the web. You may try to answer the problems more than once. After each try, a message
appears telling you whether the answer is correct or not. This allows you to find out if you did
anything wrong and hopefully better understand the question. In order to use WeBWork you
will need a computer with access to a web browser. It can be either your own or one in any of
the ASU computer labs. The URL is http://webwork.asu.edu/. Once you get to this URL, click
on Kolossa under MAT 272 from the menu. The system will ask you to enter your ASUrite id
username and password . Then click on the problem set you need to work on. We still
encourage you to solve these problems first on paper. Click on Get hard copy to get a printout
of the problems first.
TOPICS: exam #1:
3D coordinate system, vectors, vector algebra and geometry, distance formula
Dot and cross products
Lines and planes
Quadric surfaces
Vector functions and their derivatives
Velocity, acceleration, arc length
exam #2:
Functions of 2 or more variables
Limits and continuity
Level curves and surfaces, contour lines
Partial differentiation
Tangent planes and differentials
Chain rule
Gradient and applications
Directional derivative
Tangent planes and normal lines using gradient
Higher order partials
Optimization problems, LaGrange multipliers
exam #3:
Double integrals, iterated integrals, rectangular and general regions
Integrals using polar coordinates
Cylindrical and spherical coordinates
Triple integrals in rectangular, cylindrical, and spherical coordinates
Parameterization of surfaces, surface areas
Change of variable in multiple integrals (if covered).
exam #4:
Vector fields
Curl and divergence
Line integrals
Green’s theorem, potential function, independence of path
Surface integrals and applications: mass, moments, flux integrals
Stokes’ theorem
Divergence theorem