COURSE SYLLABUS
Course Prefix/Number: MAS 5145 -1352 (IN CLASS), MAS 5145-1353 (ON LINE)
Course Title: Matrix Theory
Course Credit Hours: 3
Time : MW 6:00-7:15 Class Room: 248 BUILDING 004
Instructor Name and Contact Information: Rohan Hemasinha
Professor, Department of Mathematics & Statistics
Office: Room 440, Building 004
Phone: (850)-474-3276
E-Mail: rhemasin@uwf.edu
Office Hours: TBA
ABOUT THE ONLINE SECTION For students enrolled from remote locations this course has an
“on-line” section that uses ELLUMINATE as the platform for instruction. The medium provides
real-time instruction/communication, full two way audio, and live display of writing on the “white
board”. Students who enroll for the on-line section should contact the Mathematics & Statistics
department (474-2276) for a demonstration of ELLUMINATE so that they will be properly set up
BEFORE classes commences.
 Even though the section is described as “on-line” students enrolled in this section must
attend the class by logging on from the remote location at the same time the class is in
session. This will allow students to actively participate in the class proceedings (i.e. ask
and answer questions, give feedback etc.)
 There will be at least one proctored exam. Students in the on-site section (face-to-face
section) will do the exams in class. “On-line” students must arrange (with instructor’s
approval) a suitable site to take the test at the same time in a proctored setting. There is a
form that must be filled and submitted for approval of the testing site. (Please see the
following link in the UWF home page for instructions
http://onlinecampus.uwf.edu/class/proc_exams.cfm, You will be using option 4 described on
this site)
 On-line students will submit assignments via the drop box. Students in the on-site
section will submit them in class.
Prerequisites or Co-Requisites: MAS 3105 Linear Algebra
 You should be very familiar and proficient in solving systems of equations by reducing
the coefficient matrix to row echelon form and expressing the solutions in “vector form”
You should also review the notions of
 Subspace

linear independence/dependence

base, dimension

scalar product

orthogonality
Please be prepared to look at your MAS 3105 text (or an equivalent linear algebra text) as
review. We shall be reviewing briefly the basic concepts addressed above, but you should be
willing to delve into an introductory linear algebra book to reinforce the concepts further.
Course Description: Eigenvalues and eigenvectors, diagonalizability; Hermitian matrices, unitary
matrices, normal matrices and their spectral properties; Orthogonality and the Gram –Schmidt
process; Schur’s triangularization theorem; Characteristic polynomial and minimal polynomial,
Cayley-Hamilton theorem, Jordan Canonical form; Positive definite matrices, Singular value
decomposition; Inclusion regions for eigenvalues and Gershgorin’s theorem
This course covers the facts about matrices that are necessary to understand areas of
mathematical sciences that see applications. For example, numerical methods, statistics,
differential equations and modeling, theoretical and applied economics. The course includes both
the theory of matrices and manipulation/computation of matrices. That is to say there will be
definitions, theorems and “proofs”, and problems involving computation (both hand computation
and computation using technology). Thus understanding and remembering definitions/theorems,
proving results, computing and explaining the results so obtained are important aspects of the
course.
Student Learning Outcomes:
At the conclusion of the course students will be able to
 Compute eigenvalues and eigenvectors of matrices and explain their applications
 Explain geometrical concepts related to orthogonality and least squares solutions and
perform calculations related to orthogonality
 Describe and derive spectral properties of the following important classes of matrices:
Hermitian, unitary, normal, and positive definite
 Describe and perform algorithms that are important in matrix computations, namely QRfactorization, Schur’s triangularization, Gram-Schmidt methods, singular value
decomposition
 Describe the Jordan canonical forms of matrices under similarity, and perform
computations associated with the Jordan form
 Describe Gersgorin’s theorem and its use in locating eigenvalues
Topics Covered:
 Eigenvalues and eigenvectors of matrices; similarity; diagonalization (Chapter 1)
 Unitary equivalence and normal matrices; Schur’s triangularization theorem; normal
matrices, QR-factorization (Chapter 2)
 Hermitian and symmetric matrices and their spectral properties (Chapter 4)
 Canonical forms; the Jordan canonical form; polynomials of matrices and the minimal
polynomial (Chapter 3)
 Positive definite matrices; singular value decomposition (Chapter 7)
 Inclusion regions for eigenvalues, the Gersgorin disc theorem (chapter 6)
I shall only cover selected sections and portions of the cited chapters. If time permits we shall
do portions of Chapters 5 and 8 too.
Texts:
Required texts: Matrix Analysis, by R.A. Horn and C. R. Johnson, Cambridge University Press
Recommended texts: Any introductory undergraduate linear algebra text (eg. Linear Algebra
with Applications by Steve Leon)
Grading / Evaluation:
There will be
ONE proctored (or in-class) final exam worth 170 points
TWO un-proctored timed tests each worth 100 points
FOUR or FIVE homework assignments for a total of 50 points
Score S= (sum of test and homework points/4.2)
(NOTE: There might be minor adjustments of the exam dates.)
Grades
A if S  92; A- if 92> S  90; B+ if 90> S  87; B if 87> S  82; B- if 82> S
 77; C if 77> S  72; C- if 72>S  70; D+ if 70> S  67; D if 67 > S  60
CALENDAR SPRING 2014
2014
JANUARY
FEBRUARY
MARCH
APRIL
 80; C+ if 80> S
MAY
M
W
M
W
M
W
M
W
M
6
8
13
15
20 MLK DAY
22
27
29
3
5
10
12 TEST 1
17
19
24
26
3
5
10 Spring Brk
12 Spring Brk
17
19
24
26
31 TEST 2
2
7
9
14
16
21
23
28 FINAL 6:008:30
W
30
Withdrawal deadlines
Please see Catalog 2013-2014 for additional academic policies
Withdrawal deadline for all courses for the term with partial refund and grade of W :January 31
Withdrawal deadline for individual or all courses for the term with an automatic W :March 21**
Withdrawal deadline for all courses for the term with grade of W or WF at the
instructor’s discretion April 25
**NO WITHDRAWALS FROM INDIVIDUAL COURSES AFTER THIS DATE.
IMPORTANT NOTICE
Students who are requesting a late withdraw from class, must have the approval of the advisor,
instructor, and department chairperson (in that order) and finally, by the Academic Appeals
committee. Requests for late withdraws may be approved only for the following reasons (which
must be documented):
1. A death in the immediate family.
2. Serious illness of the student or an immediate family member.
3. A situation deemed similar to categories 1 and 2 by all in the approval process.
4. Withdrawal due to Military Service (Florida Statute 1004.07)
5. National Guard Troops Ordered into Active Service (Florida Statute 250.482)
Requests without documentation should not be accepted. Requests for a late withdraws simply
for not succeeding in a course, do not meet the criteria for approval and should not be
approved.
Policy on Missed exams , late assignment: Since the examinations date has been set in advance
you should not miss it. Homework assignments and take home exams will NOT be accepted after
expiry of the due date.
Attendance and classroom conduct: It is strongly recommended that you do not miss any class.
Mathematics is not a subject that can be learned by just reading the textbook. Explanations, discussion,
working problems and practice under guidance are important for mastery of the subject and they are
provided in the classroom. Missing classes means missing out on the interaction provided in the
classroom. If you miss a class then you are responsible for learning the missed material.
Attitude:
UWF respects the right of instructors to teach and students to learn. The Student Code of Conduct sets
forth the rules, regulations and expected behavior of students enrolled at the University of West Florida.
Violations of any rules, regulations, or behavioral expectations may result in a charge of violating the
Student Code of Conduct. It is the student’s responsibility to read the Student Code of Conduct and
conduct themselves accordingly. You may access the current Student Code of Conduct at
http://www.uwf.edu/judicialaffairs.
 Please do not walk into class or walk out of class while the class is in session. Please do
not eat, drink or engage in unnecessary talking while the class is in progress.
 Cell phones must be turned off or set to silent mode.
.
Special Technology Utilized by Students: E-learning will be used to post supplementary notes,
problem sets, assignments, and for discussions. Calculators are permitted (unless stated to the
contrary) but all work must be shown and reasons given.
Expectations for Academic Conduct/Plagiarism Policy:As members of the University of West
Florida, we commit ourselves to honesty. As we strive for excellence in performance, integrity—
personal and institutional—is our most precious asset. Honesty in our academic work is vital, and
we will not knowingly act in ways which erode that integrity. Accordingly, we pledge not to
cheat, nor to tolerate cheating, nor to plagiarize the work of others. We pledge to share
community resources in ways that are responsible and that comply with established policies of
fairness. Cooperation and competition are means to high achievement and are encouraged.
Indeed, cooperation is expected unless our directive is to individual performance. We will
compete constructively and professionally for the purpose of stimulating high performance
standards. Finally, we accept adherence to this set of expectations for academic conduct as a
condition of membership in the UWF academic community.
ASSISTANCE:
Students with special needs who require specific examination-related or other course-related
accommodations should contact Student Disability Resource Center sdrc@uwf.edu, (850) 4742387. SDRC will provide the student with a letter for the instructor that will specify any
recommended accommodations.
WEATHER EMERGENCY INFORMATION
In the case of severe weather or other emergency, the campus might be closed and classes cancelled.
Official closures and delays are announced on the UWF website and broadcast on WUWF-FM.
Weather Emergency Information


WUWF-FM (88.1MHz) is the official information source for the university. Any pertinent
information regarding closings, cancellations, and the re-opening of campus will be broadcast.
In the event that hurricane preparation procedures are initiated, the UWF Home Web Page and
Argus will both provide current information regarding hurricane preparation procedures, the
status of classes and the closing of the university.
Emergency plans for the University of West Florida related to inclement weather are available on the
following UWF web pages:
Information about hurricane preparedness plans is available on the UWF web site:
http://uwfemergency.org/hurricaneprep.cfm
Information about other emergency procedures is available on the UWF web site:
http://uwfemergency.org/