Try our Free Online Math Solver!

Introduction to Matrix Theory and Linear Algebra
Note: I am available to help students whenever I am in my
office; please feel free to drop by.
Course Information:
Class meets MWF at 12:0012:50p.m. in WS 3602 for lecture and discussion.
Textbook:
Linear Algebra with Applications, 7th edition, by Seven J. Leon.
The following chapters and some additional material will be covered.
Chapter 1 Matrices and systems of equations
Chapter 2 Determinants
Chapter 3 Vector spaces
Chapter 4 Linear transformations
Chapter 5 Orthogonality
Chapter 6 Eigenvalues
Software:
Maple can be loaded to your ThinkPad for free at the Help Desk in LRC.
Course Description:
The basic problem in linear algebra is to solve a system of linear equations.
The word
"system" indicates that there are multiple equations and multiple unknowns; the
word
"linear" means that the equations are of a particular, simple type .
Fundamentally related
to systems of linear equations is the concept of a linear transformation, which
takes an
input vector (an aggregation of variables ), and transforms it to an output
vector, again
in a particular, simple fashion.
Systems of linear equations and linear transformations are of interest in their
own right.
Sometimes the problem at hand, when modelled mathematically, is nothing more
than a
system of linear equations, and some physical systems transform inputs into
outputs in a
linear way. However, the importance of linear algebra goes beyond this. Most
nonlinear
problems can be solved only through the process of linear approximation.
Therefore,
practically every nontrivial problem in mathematics, science, and engineering
involves
linear algebra, and, for this reason, linear algebra may well be the most
important branch
of mathematics.
In MA211, we study the following three problems:
 Solve a square linear system (that is, a system with the
same number of equations
as variables).
 "Solve" a nonsquare linear system (that is, one with too many equations or
too many
variables). The word "solve" is in quotation marks because such a system
generally
does not have a solution , or has infinitely many solutions, so it is not
immediately
obvious what is meant by solving such a system.
 Find the eigenvectors of a linear transformationthe special inputs that are
trans
formed in an especially simple fashion.
We also learn the associated vocabulary and concepts that allow us to understand
what
these computations mean, and some of the prominent applications that make these
com
putations important.
Attendance:
Attendance and participation are crucial to your success in this course. I will
be counting
on you to be in class and to be prepared. If you are unable to attend a class
due to an
illness or personal loss, you should contact me as soon as possible. Students
are limited
to five unexcused absences. For more than five unexcused absences, I reserve the
right of
deducting points from your total participation points.
Grading Policy:
The final grade will be based on the homework, worksheet, quizzes, three midterm
exams
and one final exam weighted as follows:
Class Participation, Homework, Worksheet and Quizzes  175 points 
Midterm Exams (3)  525 (3 175) points 
Final Exam  300 points 
Total  1000 points 
Your scores on all assignments will be combined (according
to the above weights) into a
single percentage P. Your letter grade will then be determined as follows:
Homework, Worksheet and Quizzes:
Homework assignments and worksheet will be given, some of which will be
collected and
graded. Homework and worksheet are one of the most crucial parts of the class.
It is
expected that you will complete them to the best of your ability.
A number of inclass quizzes will be given during the
semester. The content of the quizzes
will be closely related to the assigned homework problems. It is to your
advantage, then,
to carefully complete each homework problem and ask questions about those you do
not
fully understand.
Exams:
Three semester exams and a comprehensive final exam will be given. All exams may
include calculator and non calculator sections.
Help: Help is available from many different sources, including:
1. I am available to help you during posted office hours and whenever I am in my
office.
2. Math Lab .
Disability Services:
If you have a need for disabilityrelated accommodations or services, please
inform the
Coordinator of Disability Services in the Disability Services office by: coming
into the
office at 2001 C. B. Hedgcock; calling 2271700. Reasonable
and effective accommodations and services will be provided to students if
requests are
made in a timely manner, with appropriate documentation, in accordance with
federal,
state, and University guidelines.
Succeeding in Linear Algebra and other college courses
The following excerpt is from the article Teaching at the University Level by
Steven Zucker
(Johns Hopkins University), which appeared in the Notices of the American
Mathematical
Society, August 1996. What follows is what an entering freshman should hear
about the
academic side of university life.
1. You are no longer in high school. The great majority of you, not having done
so
already, will have to discard high school notions of teaching and learning and
replace
them by universitylevel notions. This may be difficult, but it must happen
sooner or
later, so sooner is better. Our goal is more than just getting you to reproduce
what was
told to you in the classroom.
2. Expect to have material covered at two to three times the pace of high
school. Above
that, we aim for greater command of the material, especially the ability to
apply what
you have learned to new situations (when relevant).
3. Lecture time is at a premium, so it must be used efficiently. You cannot be
"taught"
everything in the classroom. It is your responsibility to learn the material.
Most of this
learning must take place outside the classroom. You should be willing to put in
two hours
outside of the classroom for each hour of class.
4. The instructor's job is primarily to provide a framework, with some of the
particulars, to
guide you in doing your learning of the concepts and methods that comprise the
course.
It is not to "program" you with isolated facts and problem types nor to monitor
your
progress.
5. You are expected to read the textbook for comprehension. It gives the
detailed account
of the material of the course. It also contains many examples of problems worked
out,
and these should be used to supplement those you see in the lecture. The
textbook is not
a novel, so the reading must often be slowgoing and careful. However, there is
the clear
advantage that you can read it at your own pace. Use pencil and paper to work
through
the material and to fill in omitted steps .
Prev  Next 