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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 582ADVANCED LINEAR ALGEBRA3 + 01st Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective The aim of this course is teaching the normed spaces and matrix norms, the concepts of functionals and dual spaces, finding eigenvalues and eigenvectors and to teach the diagonalization of a matrix.
Course Content Normed Spaces, Matrix Norms, Linear Operations, Linear Functionals and Dual Spaces, Hermitian, Unitary and Normal Operations, Eigenvalue and Eigen vectors, Singular Values, Diagonalization and Triangularization, Quadratic Equations and Simlification of Quadratic Surfaces, Bilinear Forms, Groups of Bilinear Forms, Quadratic Forms, Jordan Canonical Forms, Polynomials
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Learns the limiting methods and knows the matrix limiting methods.
2Learns the Nörlund and Riesz means.
3Recognizes the consistency of Matrix Methods.
4Learns some examples of limiting methods.
5Knows the Cesaro and Hölder Matrices.
6Learns the Hausdorff and Abel methods.
7Knows the Tauber theorems.
8Learns inner product space, orthogonal group, self-adjoint operator.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0014 4 4 4 
LO 0023 5 4  3
LO 0034 4 4 5 
LO 0044 3 3 5 
LO 0053 4 5  5
LO 0064 4 4 44
LO 0073 3 3 45
LO 0084 4 4 45
Sub Total29 31 31 2622
Contribution40404033

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course






195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2019-2020 Fall1SERPİL HALICI


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 582 ADVANCED LINEAR ALGEBRA 3 + 0 1 Turkish 2019-2020 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. SERPİL HALICI shalici@pau.edu.tr FEN A0316 %60
Goals The aim of this course is teaching the normed spaces and matrix norms, the concepts of functionals and dual spaces, finding eigenvalues and eigenvectors and to teach the diagonalization of a matrix.
Content Normed Spaces, Matrix Norms, Linear Operations, Linear Functionals and Dual Spaces, Hermitian, Unitary and Normal Operations, Eigenvalue and Eigen vectors, Singular Values, Diagonalization and Triangularization, Quadratic Equations and Simlification of Quadratic Surfaces, Bilinear Forms, Groups of Bilinear Forms, Quadratic Forms, Jordan Canonical Forms, Polynomials
Topics
WeeksTopics
1 Rings and ideals
2 Factorization in commutative rings
3 Homomorphisms
4 Ideal algebraic structures
5 Examples of algebraic structure
6 Fields and field extensions
7 Finite fields
8 exam
9 Algebraic extensions
10 Vector spaces
11 Free moduls
12 Hom and duality
13 Tensor products
14 Algebras
Materials
Materials are not specified.
Resources
ResourcesResources Language
Dursun TAŞCI, Lineer Cebir.Türkçe
T. Hungerford, Algebra English
A Arıkan, Cebir Türkçe
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes