Math 45 - Linear Algebra
Syllabus
Instructor: David Arnold
Prerequisite Classes
The prerequisite classses for linear algebra are college algebra (Math
30) and trigonometry (Math 25). However, it is highly likely that the
majority of students in linear algebra have also completed the first
course in calculus (Math 50A) or are coenrolled in Math 50A. I will
informally poll the class on this first day so that you can view the
competition.
Office Hours
You can find a copy of my schedule, including office hours, here.
Note: These are "official" office hours. However, I will make myself available
whenever I can. Please do not be afraid to ask for help at any time as
I am always eager to help.
Office Location and Phone
-
Physical Science building PS114A
-
Office phone: (707) 476-4222
Cancelled Classes
Those driving long distances to attend classes are advised to call
476-4210 before driving to the CR campus. Choose #5 from a menu of
choices. You will then be advised of any cancelled classes for the day
in the Physical Sciences complex (math/science). Thus, you can avoid
the frustration of driving to campus, only to find that your class has
been cancelled.
Email
My email address is: David-Arnold@redwoods.edu
Blackboard
Click the Blackboard icon that follows. This will initiate contact
with BlackbBoard. Read the Student Introduction, User Name and
Password, and Getting Help sections. Be sure to write down your login
name and password for future reference. Once you login to Blackboard,
locate your math class and take some time to find out what is
provided. In particular, you'll want to update your personal
information, especially your email address. Then read the "welcome
message" in the Discussion Board and reply to this thread. In the
future, use the Discussion Board to discuss issues and problems you
are having with your class.
Texts
-
Introduction to Linear Algebra, Third Edition, Strang, Wellesley-Cambridge Press
Computing Resources
The Eureka campus houses computing facilities for its linear algebra
students. They are located in the physical sciences building, room
PS116. There are a number of powerful software packages on the machines
in this room that will aid in the study of linear algebra. See your
instructor for login name and password.
Transferring Files to and from the Department Server
Along with your username and password, which allow you to log on to computers in the Math/Science/Engineering computer labs and print your class assignments, you are granted some file storage space on the Math department's file server, MSEMac, which allows you to save files files and access them at school as well as at home. Using the server to store and back up your class files will help ensure that you are always up-to-date on your assignments, will let you work on projects in multiple places, can guard against computer failure, and lets you transfer files from campus and back without needing a memory stick.
The process for connecting to MSEMac is different for Macs and PCs (the former is somewhat simpler). If you have a Mac, please read our guide to connecting to MSEMac for Macs, and if you have a PC, please read our guide to connecting to MSEMac for PCs.
Computer Lab -- Code of Conduct
Please see labconduct.html for a set of rules and guidelines for computer use and maintaining decorum in the study rooms available in the physical sciences building.
Calculators
We will use Matlab to perform most of our calculations, so calculators
are not an integral part of the course. Whatever calculator you currently
own will probably be fine for this course.
Matlab
Matlab is a powerful software package created by the engineers at the
Mathworks.
Matlab software can be installed on several platforms,
including Windows XP, Linux, and Mac OSX.
If you do not have a computer capable of running the Matlab
software, then you can take advantage of the computing power located
in rooms PS116 and PS118. Matlab is installed on each of these
machines for use by students in differential equations.
You can also purchase the student edition of Matlab
7 here. Please
check here to see if your system has adequate hardware to run this
release of Matlab.
A number of copies of the Student Edition of Matlab 7, Release 14, are
available in the bookstore.
The best source I know of for learning Matlab 7 is Mastering Matlab
6 which can be purchased online.
This text is accompanied with a host of great programs that are available
here.
Exams and Quizzes
Over the years, I have become more and more frustrated with the
approach that students take in their studies. Typically, when students
know an exam is coming up, they put on hold studies in their other
classes to "cram" for the upcoming test. This is perfectly
understandable and I freely admit that I did much the same thing when
I was a student.
However, this is really not a good way to learn. Often, students
are frustrated to find themselves behind in their other classes as
they stuggle to prepare for an exam. They are unable to participate in
lectures and they cannot follow the material in class because they are
sections behind in their work. This is also frustrating for the
teacher as he often winds up talking to himself during lecture.
Consequently, I've decided that this semester I am not going to give
any examinations at all in Math 45. Instead, I will give "weekly quizzes" for you to work on which will be graded carefully.
Homework
"Daily homework" will be assigned each class and is due the next class
period. Each "daily homework" assigment is worth 10 pts. I will
scrutinize your work rather quickly, noting whether it is complete and
whether you are following all directions given on the assignment. A
score ranging from 0-10 points will be awarded.
There is a "grace period" on "daily homework" of one class
period. This means that I will allow homework that is late by one
class period, but no later. Any homework that is turned in after the
"grace period" will receive no credit. Two points will automatically
be deducted for any homework that is turned in using the "grace
period."
In order to facilitate the grading of "daily homework," students
are required to place their name in the upper right-hand corner of their
homework assignment and staple the pages together with a single staple
in the upper left-hand corner. On the first line of the paper, please
write down the assignement number, the pages that encompass the
assignement, and list each exercise number assigned. For example, the
first line of your homework might read:
Assignment #12, Page 150, #1, 3, 5, 7, 8, 10, 11, 23, 45
Student Projects
Each student in linear algebra is required to create a linear algebra
project. This project will take the place of the final examination in
linear algebra. The class will meet during the final examination period
when students will present their projects.
Project Requirements
Here are a few guidelines for student projects.
-
You may work alone or as a team. Teams may be composed of no more than
two students. If you work as a team, each student must share equally in
the workload and verbal presentation of the project. That is, both students
must speak before the class. You may not have one student give the
oral part of the presentation while the other student handles the visuals,
for example.
-
The subject of the project must be a real world application of linear algebra.
There are several good sources for potential projects:
-
The periodical stacks at the CR or HSU library are a good source for potential
projects. Often, it is best to skim the bibliographies of various textbooks
for papers involving modeling in disciplines of interest to you before
going to the library to search through the periodicals.
-
Harvey Mudd College has catalogued all articles in the College Mathematics
Journal (Formerly the Two Year College Mathematics Journal) and the Mathematics
Magazine of the MAA. A searchable database is available at http://www.math.hmc.edu/journalsearch/.
-
There are a number of important environmental sources in our area that
you might find potentially inetersting: the pulp mill, the power plant,
Pacific Lumber, etc.
-
The HSU mathematics department is famous for its mathematical modeling.
You might try contacting one of the professors there for a potential project
idea. A number of CR mathematics faculty earned their degress at HSU and
may suggest project ideas of interest.
- I personally collect papers on applications of linear algebra. See me in my office if you would like to browse my collection.
- The individual students or student teams must present their
projects to the class. This presentation should include creative and
appropriate use of technology as well as use of linear algebra
technique learned during the semester. You may also use linear algebra
technique that was not covered during the semester. For example, if you
do project in digital image processing that requires the use of the
singular value decomposition, then you may take the time to learn the
singular value deomposition and include this technique in your report
and presentation.
- An accompanying paper is required which must be typeset using
Latex. All papers are due by Friday of finals week.
-
Create a folder in your workspace on the network. Place all image files
that you intend to use in this folder. Use LaTeX and WinEdt in the lab to type your paper. Save this file and all associated image files in your folder. If you'd like to set up a TeX system on your home computer, see your instructor for directions.
-
All papers submitted by students will be published on our web site. However,
some may object to their papers being placed in such a public forum. Please
speak to your instructor privately if you do not wish your paper to be
published on the web.
-
The project is mandatory. You will not pass the class if you fail to complete
and present your student project.
-
Presenters should limit their talk to 15 minutes.
-
Both the presentation and the paper will be considered equally when determining
final grades for the project.
Some thoughts on your presentation. - Remember that you have
all semester to work through the intricate details of the mathematics
required by your topic. However, you will quickly put your audience to
sleep if you pound them with too much mathematical detail during your
presentation. It may be better to explain your choice of technique,
present the results, then concentrate more on the entertaininment side
of your topic during the presentation. Carefully built slides or
programmed simulations will capture the attention of the audience,
while a sea of mathematical detail might quickly put them to sleep.
-
However, your paper is a completely different story. It is expected that
you will include both the results and images as well as all of the mathematics
that produced them. Concentrate on clearly presenting all of the work that
you have put into your topic, including all relevant mathematics.
Grades
To determine your grade in the class, points from homework, "weekly quizzes," and the project will be totaled, then weighted and curved
to determine a final grade in the class.