COURSE
CODE
MATH106
COURSE
TITLE
LINEAR ALGEBRA
COURSE TYPE
Area Core
LECTURER(S) Asst.
Prof. Dr. Arif
AKKELES
(Group 1, email:
arif.akkeles@emu.edu.tr,
Office AS241, Extension: 1007)
EMU CREDITS
(3,1,0) 3
ECTS
CREDITS
6
PREREQUISITES
COREQUISITES
None
WEB
LINK
http://brahms.emu.edu.tr/math106
TEXTBOOK
Elementary
Linear Algebra, 8^{th} ed., by Howard Anton, Chris
Rorres. John Wiley & Sons, Inc.
TIME
TABLE
TUESDAY 14.30 – 16.30; THURSDAY 8.30 –10.30.
OFFICE
HOUR
THURSDAY 10.30 –11.30
AIMS & OBJECTIVES
The course is
standard first year course on linear algebra providing basic
definitions, concepts and methods. Discussion and proofs are
given in form of algorithms whenever is possible. The objective
Concepts of basic operations in Linear algebra: Introduction to
Systems of Linear Equations, Gaussian Elimination, Matrices and
Matrix Operations, Inverses; Rules of Matrix Arithmetic,
Elementary is twofold: to make students ready to see
applications of linear algebra on subsequent courses and to
enable them to continue their study on more advanced level.
CATALOGUE DESCRIPTION
Matrices and a
method for finding , Further
Results on Systems of Equations and Inevitability, Diagonal,
Triangular and Symmetric Matrices, The Determinant Function,
Evaluating Determinants by Row Reduction, Properties of the
Determinant Function, Cofactor Expansion; Cramer’s Rule,
Euclidean nspace, Linear Transformation , Properties of
Linear Transformations from , Real Vector
Spaces, Subspaces, Linear Independence, Basis and Dimension, Row
Space, Column Space and Nullspace, Rank and Nullity, Inner
Products, Angle and Orthogonality in Inner product Spaces ,
Orthogonal Bases; GramSchmidt Process, Eigenvalues and
Eigenvectors, Diagonalization.
GRADING
CRITERIA
MT  %35, Final
 %45, Quizzes  %10, Participation  %10
TEACHING
METHOD
Lectures and
assignments.
RELATION TO
OTHER COURSES
It closely
related to operation research differential equations with linear
algebra, electrical circuits.
GENERAL
LEARNING OUTCOMES
On successful
completion of this course, all students will have developed
knowledge and understanding of:
On successful
completion of this course, all students will have developed
their skills in:

Proving
mathematical theorems,

Working
on relevant literature related to the course,

English
for mathematics.
On successful
completion of this course, all students will have developed
their appreciation of and respect for values and attitudes
regarding the issues of:

Getting
strong background for further study,

Being
open minded and creative,

Getting
aware about ethical issues in science,

Getting
aware about role of mathematics in science and everyday
life.
COURSE
OUTLINE
Week 1: ( 3
Lecture Hours)
1.1 Introduction to Systems of
Linear Equations
1.2
Gaussian Elimination
Week 2: ( 7
Lecture Hours)
1.3
Matrices and Matrix Operations
1.4
Inverses; Rules of Matrix Arithmetic
Week 3: ( 3
Lecture Hours)
1.5
Elementary Matrices and a method for finding
1.6
Further Results on Systems of Equations and Inevitability
Week 4: ( 3
Lecture Hours)
1.7
Diagonal, Triangular and Symmetric Matrices
2.1 The
Determinant Function
Week 5: March
1721 (3 Lecture Hours)
2.2
Evaluating Determinants by Row Reduction
2.3 Properties of the Determinant Function
Week 6: ( 3
Lecture Hours)
2.4 Cofactor Expansion; Cramer’s Rule
4.1
Euclidean nspace
Week 7: ( 3
Lecture Hours)
4.2
Linear Transformation
4.3
Properties of Linear Transformations from
November 06  09 RELIGIOUS HOLIDAY (EID ALADHA)
Week 8 &9 :
Midterm Examination
(November 11 – 23)
November 15, 2011 TRNC REPUBLIC DAY (NATIONAL HOLIDAY)
Week 10:
( 3 Lecture Hours)
5.1 Real Vector Spaces
5.2 Subspaces
Week 11:
( 3 Lecture Hours)
5.3 Linear
Independence
5.4 Basis
and Dimension
Week 12: ( 3
Lecture Hours)
5.5 Row
Space, Column Space and Nullspace
5.6 Rank and Nullity
Week 13: May 59 (3 Lecture
Hours)
6.1 Inner
Products
6.2 Angle
and Orthogonality in Inner product Spaces
Week 14: May 1216
( 3 Lecture Hours)
6.3
Orthogonal Bases; GramSchmidt Process
7.1
Eigenvalues and Eigenvectors
Week 15: May 2021
( 2 Lecture Hours)
7.2
Diagonalization
Week 16 Final Examinations Period
(February 0318)
ACADEMIC
HONESTY
Copying from others or providing answers or information
(written or oral) to others is cheating. Copying from another
student’s paper or from another text without written
acknowledgement is plagiarism. According to University’s bylaws
cheating and plagiarism are serious offences resulting in
a failure from exam or project and disciplinary action (which
includes an official warning or/and suspension from the
university for up to one semester).
IMPORTANT
NOTES

Attendance
is compulsory. Any student who has poor attendance and/or
misses and examination without providing valid excuse will
be given NG grade.

Students
missing an examination should provide a valid excuse within
three days following the examination they missed. One
makeup examination will be given at the end of the semester
after the final examination period. No makeup will be given
for missed quizzes.
