Spring
2008
MATH 3260/02 - Linear Algebra
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Instructor |
Dr. Anda Gadidov |
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Office |
Science Building Room 529 |
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Phone |
(770)423-6098, e-mail: agadidov@kennesaw.edu All emails should originate from the student’s
netid.student.kennesaw.edu account or from their WebCT
account. Our e-mail system allows for email filtering software that blocks
certain domains, one of which could be your commercial email provider.
For more information on setup and use of your email account, go to
https://students.kennesaw.edu/email. |
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Office hours |
MW 11:00am- 12:30pm. Other times by
appointment |
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Class meets |
MW 6:30-7:45pm in CL1005 |
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Text |
Elementary Linear Algebra, fifth ed., by Ron Larson and Bruce Edwards, Houghton
Mifflin Co, ISBN 0-395-96717-1 |
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Prerequisites |
Math 1190 Calculus I |
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Description |
This course is an introduction to linear
algebra and some of its classical and modern applications. Among topics to be
included will be systems of linear equations, vector spaces, linear
transformations, and diagonalization. Technology
(TI calculators, and Maple software) will be
employed in performing matrix computations. Please visit http://science-citrix.kennesaw.edu
for instructions on how to download Citrix on your personal computers. |
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Instructional Goals |
The Department of
Mathematics supports the following instructional goals for students in
mathematics courses at undergraduate institutions, recommended by the
Mathematical Association of America in their report, “A Source Book for
College Mathematics Teaching”. We expect that in the course of studying
mathematics at ·
Develop a sense of what
mathematics is and how is it done. ·
Learn to value mathematics
and to feel confident in their ability to do mathematics. ·
Have the opportunity to
explore a broad range of problems and problem situations ranging from
exercises to open-ended problems and exploratory situations. ·
Be provided with a broad
range of approaches and techniques (ranging from the application of
algorithmic methods to the use of approximation methods, modeling techniques
and heuristic problem strategies) for dealing with problems. ·
Develop a “mathematical
point of view”- an ability to analyze and understand, to perceive structure
and structural relationships, to see how things fit together. ·
Develop precision in both
written and oral presentation. ·
Develop the ability to
read and use text and other mathematical materials. ·
Become as much as
possible, independent learners, interpreters, and users of mathematics. |
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Learning outcomes |
A student completing this course should be
able to 1. Discuss the solvability, and solve a system
of linear equations. 2. Accurately perform matrix operations. 3. Understand the importance of algorithms and
accurately perform the Gaussian and 4. Understand the concept of inverse of a
matrix and be able to invert a matrix using Gauss-Jordan elimination. 5. Understand the concepts of vector space and
subspace, and be able to determine whether a set is a vector space, and if a
subset of a vector space is a subspace. 6. Understand the concepts of linear
combination of vectors, linear independence, linear dependence, and be able
to check the properties accurately. 7. Find a basis for a vector space, determine
the dimension of a given vector space, and describe the vector space
determined by a spanning set. 8. Understand the concept and basic properties
of linear transformations. 9. Determine the matrix of a linear
transformation for different bases. 10. Describe the kernel and image of linear
transformations. 11. Determine the eigenvalues
and eigenvectors for simple linear transformations. 12. Apply the theory to various practical
problems and/or projects. 13. Use Maple software to solve problems
involving applied linear algebra problems. 14. Last, but not least, present logical
arguments in a coherent mathematical written form. |
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Topic outline |
Chapter 1: Systems of Linear Equations. Chapter 2: Matrices. Chapter 3:
Determinants. Chapter 6: Linear
transformations. Chapter 7: Eigenvalues and eigenvectors, diagonalization
of a matrix. |
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Grading |
Homework will be assigned and collected for a
grade. There will be a list of assigned problems and one of suggested
problems. I encourage you to work as many problems as you can, until you feel
you grasp the concept. Write the homework neatly and show your computations
and (if appropriately) your reasoning arguments. The homework will be checked
for both accuracy and editing. Answers without work will not be given any
credit. Since class is scheduled in a room with wonderful technology
capabilities, we will put computers to good use. You will learn how to use
Maple in solving some linear algebra problems. Although I will provide
assistance and step-by-step tutorials, you are supposed to spend time outside
the classroom to familiarize yourselves with the software. Check my homepage http://math.kennesaw.edu/~agadidov for updates on the
course. Your grade will be based on your performance
on homework assignments, class participation, quizzes and tests. There will
be a quiz almost every week, three semester exams and a final comprehensive
exam. Quizzes will be graded on a scale of 0 to 10 and only the best ten
grades will count toward your final grade. The final is scheduled on Monday,
May 5, 6:30-8:30pm. Make-up quizzes or tests will not be given unless there
are exceptional circumstances. If you must miss a test, you should
notify me in writing before the scheduled test time. Grades will be
assigned as follows:
Tentative schedule of
exams: Exam 1: Feb. 11, Chapters 1-2 |
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Academic misconduct |
Every KSU student is responsible for upholding
the provisions of the Student Code of Conduct, as published in the
Undergraduate and Graduate Catalogs. Section II of the Student Code of Conduct
addresses the University’s policy on academic honesty, including provisions
regarding plagiarism and cheating, unauthorized access to University
materials, misrepresentation/falsification of University records or academic
work, malicious removal, retention, or destruction of library materials,
malicious/intentional misuse of computer facilities and/or services, and
misuse of student identification cards. Incidents of alleged academic
misconduct will be handled through the established procedures of the
University Judiciary Program, which includes either an “informal” resolution
by a faculty member, resulting in a grade adjustment, or a formal hearing
procedure, which may subject a student to the Code of Conduct’s minimal one
semester suspension requirement. |
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Withdrawal policy |
Students who find that
they cannot continue in college for the entire semester after being enrolled,
because of illness or any other reason, need to complete an online form. To
completely or partially withdraw from classes at KSU, a student must withdraw
online at www.kennesaw.edu, under Owl Express, Student Services. The date the
withdrawal is submitted online will be considered the official KSU withdrawal
date which will be used in the calculation of any tuition refund or refund to
Federal student aid and/or HOPE scholarship programs. It is advisable to
print the final page of the withdrawal for your records. Withdrawals
submitted online prior to Students may, by means
of the same online withdrawal and with the approval of the university Dean,
withdraw from individual courses while retaining other courses on their
schedules. This option may be exercised up until March 10, 2008. This is the date to
withdraw without academic penalty for Spring term, 2008 classes. Failure to
withdraw by the date above will mean that the student has elected to receive
the final grade(s) earned in the course(s). The only exception to those
withdrawal regulations will be for those instances that involve unusual and
fully documented circumstances. |
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