MATH 181, Calculus and Analytic Geometry II
Spring 2012
MATH 181
Second Semester Calculus
Bryan Smith
Introduction
The prerequisites for this class include the material on the
differential calculus in chapters 1-4 and the material in sections
5.1-5.4 of our textbook. Every differential calculus textbook covers
this material except possibly for what is in section 4.8.
There are two overarching goals for this course: learn the basics of
integral calculus and of power series. We will also take a
few days at the end of the semester to introduce polar coordinates.
The course material is covered in chapters 5-9 of our textbook and
develops fundamental tools that apply to almost every scientific
discipline. For a more detailed list of topics in this course
please see the Department of Mathematics and Computer Science's
syllabus at
MATH 181 Syllabus[].
During a normal class day we will discuss new material, address
questions that arise from reading the text, and work through
assigned problems you wish to discuss. When we introduce new
material, we will do so using simple examples to highlight how the
concepts fit together into the logical whole that is the "big
picture" and will save discussion of the details and refinements
necessary for a deeper understanding for a second (or third) pass
through the material. You are to prepare outside of class for these
detailed discussions by carefully reading the text and working on
the assigned problems. Then, during class, we will address these
deeper refinements by responding to questions on the reading and the
problems that you bring to class. Part of your grade will depend on
your preparation and classroom participation. You should expect me
to call on you to respond to specific questions. See
"How to
Study" [] for an excellent description of how to
effectively study mathematics.)
Course Information
Textbook
The textbook is University Calculus, Hass, Weir, and
Thomas, ©2007, Pearson Education, Inc.
Calculator
My current plan is to allow minimal use of a calculator during
tests. I do not care what calculator you use as long as it has
the the capabilities for function graphing and numerical
integration. If you want help, I am most familiar with TI
calculators and, if you do not have a manual for your
calculator, you should be able to find one on the internet -
for example at
http://education.ti.com/us/product/tech/83/guide/83guideus.html
[]. See
Calculator
Policy[*] for what the department has to say
about calculator use.
For your information, those of you who are planning on majoring
in mathematics or science will eventually want to learn
how to use a technical word processor that incorporates a
symbolic manipulation package. Mathematica, Matlab, Maple,
Scientific Notebook, and Sage are some of the better known
programs that do this. I am not asking you to buy such
a program (and Sage is free), only mentioning it might be useful
later for many of you.
Logistics
You can find information pertinent to all of my classes at the
url below and, once there, information specific to this class by
clicking on the Math 181 link.
http://math.ups.edu/~bryans/ []
Bryan Smith | TH 390D | 879-3562 | bryans[at]ups.edu |
|
Math 181 | TH 383 | M, F | 11:00-11:50am |
| TH 391 | T, Th | 11:30-11:20am |
|
Office Hours | | Mon | 12:00-12:50pm |
| | Tue | 10:00-11:20am |
| | Thu | 10:30-11:20am |
| | Other | By Appointment |
|
Examinations
There will be four (4) 100 point, one hour, in-class
examinations and I will drop the lowest score. Make-up
examinations are granted only for truly exceptional
circumstances. You should not expect all examination
questions to closely mimic textbook examples or assigned
homework problems. On the other hand, you should expect most
exam questions to be similar to material that can be found in
the textbook.
There are copies of old exams on my web site. They might contain
typos or even errors. They are offered "as is" for those who
might use them as a study aid. But they are (not) part of
this semester's course.
Examination One | Thursday | Jan 26 |
Examination Two | Thursday | Feb 23 |
Examination Three | Thursday | Mar 29 |
Examination Four | Thursday | Apr 26 |
Final Examination
The final examination is scheduled for
Monday | May 7, 2012 | 12:00-2:00 P.M. |
The final examination will be comprehensive and cannot be
rescheduled so do not plan plane flights (or anything else) that
will conflict with it. I will allow you to work longer than the
two hours scheduled for the final.
Homework
I will assign homework daily but will not collect it. Each
Tuesday we will have a 10-minute, in-class quiz consisting of 2
or 3 of the previous week's homework problems. You are
encouraged to bring your worked homework to class and to copy
your solutions onto the quiz sheet.
I expect you to do many more homework problems than I assign.
Reading
One of the most important skills you can develop from this class
is that of reading technical material. This is much different
from the "skim" reading often used in other classes. For
mathematics, it is very important that you read the material at
least twice. Once to get a "feel" for the concepts and another
time where you concentrate on understanding the details. It is
also important that you read correctly. Mathematics requires
that you read slowly and with a pencil and paper at
hand. (See
"How to Study"[] on the course webpage for more
details.)
There will be three reading questions associated with each
section we cover. You can find these questions on my website.
Each section's reading questions will be due, by email, at 8:00
A.M. on the morning we cover that material in class (there is a
daily schedule of what material we are covering on my website).
Note these will not be accepted late. Use the following
guidelines when submitting a reading assignment.
- My email address is bryans(at)ups.edu
- The "Subject" line must contain "181" and the
chapter and section. For example, the first reading
assignment could have either "181, 5.1" or "Reading
Assignment for Math 181 section 5.1" in it's subject line.
- Have your full name as the first line of your response.
- Give very brief answers. Do not include computations for
numerical questions but do give brief reasons.
- Send only pure text. Do not send attachments, WORD files,
or graphics. Do not send your answer in HTML.
- Mathematical notation is cumbersome in text-only email
but don't worry too much about it. I should be able to decipher
reasonable attempts to render the mathematics.
I expect you to carefully read the material before we introduce
it in class and to ask questions during class about points you
do not understand. Your questions will arise naturally if you
develop the habit of reading slowly with a pencil and paper at
hand.
Course Information Updates
If you wish, I will post on my university web page, a grade
report with your current standing in the class. You should keep
track of your grades on the various assignments and check them
against these reports. If there are any discrepancies they
should be dealt with immediately.
To have your information posted you need to print your name, the
class (MATH 181), and a code on a sheet of paper. Then
sign the paper and physically hand it to me. The code
is to be a sequence of up to 23 symbols I can type on a
keyboard.
Grade Components
In-Class Quizzes | 30% |
Reading Questions | 10% |
Examinations | 45% |
Final Examination | 15% |
|
First Reading Assignment (Due Thursday, Jan 19 at 5:00pm)
- Look over both my university web page
http://math.pugetsound.edu/~bryans/ [] and
the course webpage for MATH 181 you'll find there.
- Skim
"How
to Study"
http://www.cse.buffalo.edu/~rapaport/howtostudy.html
- Send an e-mail message to me at bryans [at] pugetsound.edu
responding to the points below. Use the subject line "181
First Assignment".
- Tell me if you have any schedule conflicts from
11:00 to 11:30am on Tuesday or Thursday.
- Tell me your major, if you have one. If not,
mention two subject areas that interest you.
- Tell me one of the suggested techniques in the
Rapaport [] reading which seemed obvious to
you even though you haven't used it.
- Tell me one or two of the techniques in the
Rapaport reading that you had not thought of before but
that you will try this semester.
- Have you been thinking of college as a full-time
job? I expect you to study at least two hours outside of
class for each hour you spend in class. Thats 12 hours
per week just for my class.
References
- []
- Bryan Smith's Homepage
http://math.ups.edu/~bryans/
- []
- Math 181 Course Webpage
http://math.ups.edu/~bryans/Current/Spring_2012/181Index_Spring2012.html
- []
- Department Syllabus for MATH 181
http://www.math.ups.edu/~matthews/Syllabi/MA181Syllabus.pdf
- []
- William Rapaport's "How to Study"
http://www.cse.buffalo.edu/~rapaport/howtostudy.html
- [*]
-
Department Calculator Policy
http://www.math.ups.edu/info/calcpolicy.pdf
- []
- TI-86 Manual
http://education.ti.com/us/product/tech/86/guide/86guideus.html
Emergency Response Information
Please review university
emergency preparedness and response procedures posted at
http://www.pugetsound.edu/emergency/. There is a link on the
university home page. Familiarize yourself with hall exit doors and
the designated gathering area for your class and laboratory
buildings.
If building evacuation becomes necessary (e.g. earthquake), meet
your instructor at the designated gathering area so she/he can
account for your presence. Then wait for further instructions. Do
not return to the building or classroom until advised by a
university emergency response representative.
If confronted by an act of violence, be prepared to make quick
decisions to protect your safety. Flee the area by running away
from the source of danger if you can safely do so. If this is not
possible, shelter in place by securing classroom or lab doors and
windows, closing blinds, and turning off room lights. Stay low,
away from doors and windows, and as close to the interior hallway
walls as possible. Wait for further instructions.
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On 10 Jan 2012, 18:00.