Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
3MATH265BASIC LINEAR ALGEBRA3+034

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program PHYSICS
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course To analyse and solve the useful problems for engineering and sciences.
Course Content Matrices, determinants and systems of linear equations. Gaussian elimination. LU Decomposition. Vector spaces; subspaces, sum and direct sums of subspaces. Linear dependence, bases, dimension. rank and nullity, change of basis, canonical forms, inner product, Gram-Schmidt orthogonalization process, QR decomposition. Eigenvalues, eigenvectors, diagonalization, similarity. Quadratic Forms. Complex vector spaces, Complex eigenvalues, Unitary and Hermitian Matrices. Least-squares.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Associate Prof.Dr. TÜRKER BIYIKOĞLU
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Elementary Linear Algebra with Applications,Bernard Kolman and David Hill, Prentice Hall; 9th edition 2007
Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 0 % 0
Quizzes 0 % 0
Homeworks 0 % 0
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 0 % 0
Total
0
% 0

ECTS Allocated Based on Student Workload
Veri yok

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 To analyze the system o linear equations
2 To assemble the structural properties of matrices and determinants
3 To describe the vector spaces and its fundemental properties
4 To identify the eigenpairs and their usage


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Matrices, determinants Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
2 Matrices, determinants Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
3 Systems of linear equations Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
4 Systems of linear equations, Gauss elimination, LU decomposition Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
5 Midterm exam
6 Vector spaces; subspaces, linear dependence Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
7 Vector spaces; subspaces, bases, dimension, rank and nullity, change of basis Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
8 Sum and direct sums of subspaces Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
9 Canonical forms, inner product Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
10 Midterm exam
11 Gram-Schmidt orthogonalization process, QR decomposition Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
12 Eigenvalues, eigenvectors, diagonalization, similarity Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
13 Quadratic forms. Complex vector spaces, Complex eigenvalues Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
14 Unitary and Hermitian matrices, Least squares Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011
15 Final 1st week
16 Final 2nd week


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10
C1 0 4 4
C2 4 2
C3 4
C4 4 4

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant


https://obs.iyte.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=261874&lang=en