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

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Compulsory
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
Data not found.

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)14570
Assignments144
Mid-terms11313
Final examination12727
Presentation / Seminar Preparation13339
Total Work Load

ECTS Credit of the Course






195

7,5

COURSE DETAILS
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L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes
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