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MAT 203
Linear Algebra
Winter 2011
Instructor:
Bruce Armbrust, phone: 541-4660x314, email:
bruce.armbrust@hotmail.com
Office Hours:
Room A210, Mon.
Mon.
Thurs.
Fri.
MSC,
Wed.
And as always, by appointment.
Class Time and Location:
Mon, Wed, Fri.
Textbook:
Introductory Linear Algebra: An Applied First Course,
8th Edition, by Kolman & Hill.
Calculator:
A graphing calculator is required for this class.
I will be demonstrating with the TI-89.
Course Description:
This course covers linear equations, matrices, determinants, vector spaces,
inner product spaces, linear transformations, Eigenvalues and Eigenvectors and
their applications to engineering and mathematics.
Prerequisite:
A grade of C or better in MAT 107 or equivalent.
Student Learning Outcomes: 1.
Apply the theory and techniques of linear algebra in applications from physics,
operations research and other scientific disciplines.
Course Grade:
Your final letter grade will be based on the usual grading scale:
A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59%
The following items will make up the course grade:
Homework:
200 points
Exam1 (February 4):
250 points
Exam2 (March 4):
250 points
Final Exam (March 25):
300 points
You may check your grades at any point in the quarter by going to the following
website and looking up your secret number:
http://www.gradesource.com/reports/1027/19944/index.html
Homework:
Homework will be due in class the day after it is assigned.
Homework not turned in at this time will be considered late. You may turn
in homework up to one week after it is assigned for half credit.
Exams:
Students are to bring a pencil and blank scratch paper to each exam.
If you cannot make it to an exam (final not included), you may take it up
to 2 school days prior to the scheduled date with proper arrangements.
Otherwise, the exam may be made up after the scheduled date with a
penalty of 10% per day.
Registration Information:
You may drop the class with no penalty or mark on your record on or before
January 28. After January 28, you may
drop the class and receive a grade of W until February 17.
After February 17, if still enrolled, you will receive a grade of A, B,
C, D, F or I.
How to Succeed in a Math Class:
I am often asked how to successfully pass a math class, and here is my advice:
I) Come to every class session. Be
prepared, and plan on participating.
II) Do your homework. Remember that
what I assign is what I consider a bare minimum.
If you need more practice, do it.
III) Read the book. You paid good
money for it, so you might as well use it.
IV) Make use of available tutors and my office hours.
You will find tutors who know the subject matter in this course at the
MSC.
V) Do math every day. Math is just
like everything else: if you don’t practice, you become rusty.
Technology in the Classroom:
All cell phones, headphones, MP3 players, iPods, etc, must be turned off and put
away prior to the start of each class.
No electronic devices (other than calculators) may be used during quizzes
and exams.
Learning Disabled Students:
Students with disabilities who may need accommodations for this class are
encouraged to notify me and contact the Disability Resource Center (DRC) early
in the quarter so that reasonable accommodations may be implemented as soon as
possible. Students may contact the DRC by visiting the Center (located in
room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf
students). All information will remain confidential.
Academic Dishonesty:
Academic dishonesty of any form will not be tolerated.
Students caught cheating on exams will receive a score of zero on that
exam. It will be virtually
impossible to recover a passing grade after this.
Students may work together on homework assignments (and, in fact, are
encouraged to) as long as all students understand the material covered.
Class Schedule:
The following is a tentative schedule.
If things change (and I have money that says they will), I will let you
know.
January
3
1.1,1.2
Linear Systems and Matrices
5
1.3,1.4
Dot Product and Matrix Operations
7
1.5
Matrix Transformations
10
1.6,1.7
Solving Systems, Inverse of a Matrix
12
2.1,2.2
Coding and Graph Theory
14
3.1
Determinants
17
NO CLASS
Martin Luther King Day
19
3.2
Cofactor Expansion
21
4.1,4.2
Vectors in Rn
24
4.3
Linear Transformations
26
5.1
Cross Product
28
6.1
Vector Spaces
31
6.2
Subspaces
February
2
6.3
Linear Independence
4
Exam I
7
6.4
Basis and Dimension
9
6.5
Homogeneous Systems
11
6.6
Rank of a Matrix
14
6.7
Change of Basis
16
6.8
Orthonormal Bases
18
NO CLASS
President’s Day
21
NO CLASS
President’s Day
23
6.9
Orthogonal Complements
25
B.1
Inner Product Spaces
28
8.1
Eigenvalues and Eigenvectors March
2
8.2
Diagonalization
4
Exam II
7
8.3
Diagonalization of Symmetric Matrices
9
10.1
Linear Transformations
11
10.2
Kernel and Range
14
10.3
Linear Transformation Matrix
16
10.4
Fractals
18
Review
21
Review
25
Final Exam
The following is a
list of all homework assignments for this course.
The due dates for the various sections will be given in class.
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