**MA 166-01: MW 9:00 am
- 9:50 am and TR 9:00 am-10:15 am **

**MA 166-02: MW 10:00
am-10:50 am and TR 10:30 am-11:45 am **

__Textbook__**: James Stewart – Essential Calculus: Early Transcendentals**

__Course Description__**: The course covers
chapters 6-9 of the text and a departmental handout on complex numbers. The
main content of the course is devoted to techniques of integration,
applications of integration, infinite sequences and series, polar coordinates,
complex numbers, and conic sections. The objectives of the course are to
master the topics therein, and through that mastery improve problem solving
skills and critical thinking.**

__How your grade will be determined__**: There will be four tests (100 points each),
at least ten quizzes (contributing the sum of your quiz scores up to a maximum
of 100 points), and a comprehensive final (200 points). This gives a denominator of 700 points. You begin with a numerator of 0, and each
test and quiz is an opportunity to increase your numerator. Letter grades will be assigned according to your
fraction, as follows: **

**A: 1.0 to .9; B:
< . 9
to .8; C: <
.8 to
.7; D: < .7
to .6; F: <
.6.**

**No make up quizzes
will be given. Exams can be made up only
with an acceptable explanation as to why the exam will be or was
missed. There are many such. For example:
“I’d like to arrange in advance for a make-up exam. I will miss Thursday’s test because I’m representing
IPFW in an official capacity (attending a conference, playing on an IPFW team, …),” is
acceptable. For example: “I missed Thursday’s test because I had
Wednesday plane tickets to Lauderdale for spring break,” is not
acceptable. **

__Office
hours__**: The professor has them because he wants you
to take advantage of his interest and expertise. He is delighted when students come to see him
with interesting mathematical problems to work on, or to just talk about food
and sports and politics. He is less
thrilled when students come to ask him to do their homework for
them. The posted hours belong to the
students. If students cannot meet the
professor during those hours, he is pleased to see them at mutually convenient
times. **

__Homework:__ Homework is the responsibility of the
student. It will be discussed in class
because that is a good way for students to verify their understanding and
correct misunderstandings. The professor
uses the quizzes to assess how well the students use their homework to learn
the material. The professor has the
hard-earned wisdom of many years at the front of a classroom. He makes the following categorical
statement: It is not possible to pass this
course without doing a lot of homework. The
problems on the tests and the quizzes will be similar to the homework. Therefore doing homework is its own
reward. That is what homework is
for. To take full advantage of the
opportunity, the professor encourages the formation of study groups, of
collaborative efforts to learn the material, of the development of good time
management and organizational skills, as well as effective study and work
habits.

__Tips for success__**: 1) Go to class. 2) Read the textbook. It’s expensive, you
might as well get some value from it. Do
this as part of your routine for the course.
The best way to spend reading time is to look at a section before it is
discussed it in class. That way you will
know the topic beforehand, any new vocabulary, and which things are
important. There’s a reason why a
textbook is more than the problems at the end of a section. 3) Go
to class. 4) Study in loops. This is how the professor does research and
learns new mathematics. What this means
is that you should routinely revisit material to see the relationship between
what you’ve just studied and what you learned last week and last month. Mathematics is hierarchical: The new is built upon the old. It is impossible to learn algebra without a
solid foundation in arithmetic. It is
impossible to learn calculus without a solid foundation in algebra and
geometry. Similarly, it is impossible to
learn applications of integration without understanding what integration means,
and impossible to actually solve the problems you want to solve without the
mechanics of integration (or for that matter section 176 without an
understanding of section 175, 174, ….). Regular, systematic review ties the course
material together. By the way, it is
also the single best way to prepare for a comprehensive final exam. 5) Go
to class.**

__How to learn mathematics__**: This is a deep, dark secret. Those of us in
the Math Cabal have a duty to keep math scary to those not math-literate. Do not read this paragraph unless you are
willing to keep these secrets. Otherwise
the math mystique is lost. One learns to use a hammer by driving many
nails. One gets better with
experience. Good carpenters never leave
owl eyes, always use the right nail for the particular job, and don’t strike
harder or more often than necessary. That’s not how they started out. Successful users of mathematics learn
techniques over time and with much practice.
For example, one technique is the standard protocol for addressing real-world
problems (which are modeled in the course by word problems: 1) Read the
problem. This does not mean look at the
problem. You have three primary goals
when reading the problem. The most
important of these is to find out what the answer looks like. If the problem is to determine the volume of
a nasty-looking auto part, the answer had better look like a volume. Second, you need to discover what information
the problem provides you to work with.
Third, you want to determine what kind of problem you’re working
on. Does the problem look like something
geometric, something algebraic, does it decompose in a way that suggests integration,
or does it seem to be nothing you’ve ever seen before (If so, you must either
look further afield or invent something.
Welcome to real life.)? 2) Draw a diagram or otherwise organize what you
know. This includes carefully choosing
labels and variable names that help provide insight into the problem’s
structure. 3) Find relationships between what you know and
what you need to find. This is the
creative portion of the problem, and hence the most fun. This may require cutting the problem into subproblems, each of which requires using the entire
problem solving process. 4) Use the appropriate tool or tools to exploit
the relationships found in step three to get information about what you need to
find. 5) Finish. Do
you have the right kind of answer? Is it
credible? Is the presentation in a form
that is appropriate? Is this just part
of the whole problem? If so don’t forget
the other parts.**

__Course philosophy__**: This
course is ambitious. The professor wants
you to do well and have an enjoyable, worthwhile experience doing something he
loves. He is happy to help you enter the
secret Math Cabal. He will teach the
secret handshake to those who faithfully desire to enter the sacred halls. He has already revealed some of the Cabal’s
secrets to you (see Tips for Success and How to learn mathematics
.). He will lead you
to the mathematical portals, though you yourself must choose to work your way across
the threshold. The goal of the course is
not to merely be able to do some problems appearing in some textbook. No one will either admire you or hire you because
you can do number 43 on page 687. The
goal is for you to become intimate with the theoretical ideas of the course
topics and facile with the tools necessary to take advantage of that
intimacy. Therefore, while the mechanics
of integration, power series, and the other topics in the course are important,
our emphasis will always be on what to use this mathematics for and how to take
advantage of those mechanics.**

__Students
with Disabilities__**: If
you have a disability and need assistance, special arrangements can be made to
accommodate most needs. Contact the Director of Services for Students with
Disabilities (Walb 113,
telephone number 481-6658), as soon as possible to work out the details. Once
the Director has provided you with a letter attesting to your needs for
modification, bring the letter to me. For more information, please visit the
web site for SSD at **