Syllabus
Linear Algebra:For the vector calculus part of the course, our text will be Chapter 14 of University Calculus, by Hass Weir and Thomas. You must obtain a course pack from the bookstore containing material for the linear algebra and statistics portions.matrix algebra; Gaussian elimination and LU factorization;Statistics:Rn and its subspaces; linear independence, span, basis and dimension; matrix rank; least squares approximations; software for linear algebra descriptive statistics; elementary probability; distributions (continuous and discrete); expected values; unbiased estimators; statistical inference; regression; software for statisticsVector calculus:curves and surfaces; vector fields; line and surface integrals; path independence; potential functions and conservative fields; Green's theorem; Stokes' theorem (as time allows); the divergence theorem (as time allows)
Course objectives
Along with these (and every bit as importantly, in my view), I would
like to see you grow as mathematics students. Here are some
thoughts on that subject.
Software. There are two software packages with which you are expected to become familiar during the course. Octave is a very good package for doing numerical computations. It has many commands that are identical to Matlab (code written to carry out simple operations in one may often be used without modification in the other), which is one of the main software packages professionals use for scientific computing. Calvin has Matlab available both in the mathematics and engineering computer labs, and you are welcome to use it whenever software for linear algebra is required. Octave has the advantage of being distributed under a GNU public license, meaning that you can download it to your home computer for free. It is available in Mac OS X, Linux, and Windows versions, so if you get a copy be sure to get one that is appropriate for your machine.
There is another package, which goes by the name R, that is particularly well suited for doing statistical computations. When our focus turns to statistics, we will begin using it instead of Octave/Matlab. You may download R and related material (in particular, manuals) at http://cran.r-project.org/.
Grading.
Your grade will be determined as a weighted average with the
following weights
Exams.
There will be 3 exams given during the term. The dates are
Oct. 9,
Nov. 14,
and
Dec. 11.
Rather than trying to sift through the various reasons why an exam
must be missed to decide which ones are excused, I have adopted a
policy of allowing the final exam to replace your worst exam if,
indeed, the grade on the final is better. No make-up exams will
be given, and exams may not be taken early.
The final exam is cumulative, and will take place in our usual
classroom. The college requires that I give you the exam at
the indicated time, so schedule your travel plans accordingly.
Homework.
Most weeks homework will be assigned on 4 days, generally
in the form of problems. The specifics of a particular problem
set are elaborated from the homework page,
which you should visit after every class period in order
to see what problems may have been added to a set on that day.
The due dates for problems sets
appear on the course calendar.
Problem sets will be collected twice per week, in general. It
may be submitted in class, or placed in the MATH 232
New Homework folder in the box outside my office, in which
case it must be submitted by 3 pm to ensure being on time.
Homework will be scored for correctness, and will be placed in
the Graded Homework folder outside my office, at which time
you may pick it up at your leisure. While late homework is
not accepted, doing this work is still one of the important
activities for learning the material.
Whether it is due to bad habits or the demands of coursework,
it seems some students are prone
to doing work only when deadlines demand it. This is a mistake!
Do some work related to this class every night, even if time
constraints only allow you to read through the notes for that day.
If you don't know what you don't understand, then you cannot ask
questions the next day, when previous lectures will be used as
foundation for the next topic!
Academic Integrity.
Concerning homework,
you may borrow someone's idea for solving a problem, but cite your
source (a classmate, peer, bookprovide the usual bibliographic
information, websiteprovide the url, etc.). All assignments (except
for projects specifically assigned in groups) are to be written up
separately on your own, using your own words. Give as much attention
to presenting your solutions in a coherent manner (using mathematical
symbols as part of your sentence structure) as you give to actually
solving problems, as it is the explanation of each problem that is graded
(not simply the answer itself). Handing in another's writeup of any part
of an assignment will be considered an instance of academic
dishonesty (See Section
4.2.8 of the Faculty Handbook.), resulting in a zero for the
entire assignment.
If any part of an exam write-up is not your own,
or is the result of unauthorized access to information stored anywhere
in any form, the result on the first instance will be a score of zero.
A second occurrence will result in automatic failure of the course.
Contacting me.
My office is NH 281. If you are having trouble in the course
if you do not understand something important or have some special
circumstance that impedes your performance see me about it
right away. Do not put things off. The hours
I am intentionally in my office for
meeting with students are posted on my
homepage, as they are subject to change during the semester.
If we cannot hook up at one of these times, feel free to
talk with me about an appointed time to meet, or swing
by my office and see if I am available to help.
I may be reached by phone at x66856, but a better way
to reach me for a non-technical question is by email.
If you require my approval for something, do
not consider having left a message for me
as equivalent to having obtained that approval.
Accommodations.
Reasonable academic accomodations will be made for individuals with
documented disabilities. Any student who this concerns should
notify one of the Coordinators for Services for Students with
Disabilities located in the Student Academic Services office, HH 455.
That student should also meet with me during the first two weeks of
the semester to discuss academic accomodations.
Exceptions.
I reserve the right to make changes or exceptions to course policies
including those described in this document either for the entire
class or for specific individuals. The ultimate goal in this course is
learning, and formal requirements should not unnecessarily stand in
the way of that. Thus, if you think that any of the conditions of the
course are interfering with learning, please speak with me about this,
and we will see what can be done.
This page maintained by:
Projects, quizzes, labs and homework
15%
Exams
57% (19% apiece)
Final Exam
28%
Thomas L. Scofield
Department of Mathematics and Statistics
Calvin College