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Eastern Mediterranean University

Faculty of Arts and Sciences


Fall 2011-2012


COURSE CODE                        MATH106 

COURSE TITLE                        LINEAR ALGEBRA 

COURSE TYPE                         Area Core

LECTURER(S)                          Asst. Prof. Dr. Arif AKKELES (Group 1, email:, Office AS241, Extension: 1007)                      

EMU CREDITS                          (3,1,0) 3 

ECTS CREDITS                        6 


COREQUISITES                       None 

WEB LINK                       

TEXTBOOK                              Elementary Linear Algebra, 8th 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 n-space, 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; Gram-Schmidt 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.  




On successful completion of this course, all students will have developed knowledge and understanding of:

  • Concepts of Linear Algebra Theory,

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.




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 17-21 (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 n-space


Week  7:   ( 3 Lecture Hours)

4.2      Linear Transformation

4.3      Properties of Linear Transformations from




Week 8 &9 : Midterm Examination (November 11 – 23)




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 5-9 (3 Lecture Hours)

6.1   Inner Products

6.2   Angle and Orthogonality in Inner product Spaces


Week  14:  May 12-16 ( 3 Lecture Hours)

6.3   Orthogonal Bases; Gram-Schmidt Process

7.1   Eigenvalues and Eigenvectors


 Week 15: May 20-21  ( 2 Lecture Hours)

7.2      Diagonalization


Week 16 Final Examinations Period (February 03-18)




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).




  • 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 make-up examination will be given at the end of the semester after the final examination period. No make-up will be given for missed quizzes.


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