Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

INSTITUTE OF SCIENCE / MAT528 - MATHEMATICS

Code: MAT528 Course Title: MATRIX ANALYSIS II Theoretical+Practice: 3+0 ECTS: 6
Year/Semester of Study 1 / Spring Semester
Level of Course 2nd Cycle Degree Programme
Type of Course Optional
Department MATHEMATICS
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer SEZER SORGUN (ssorgun@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
To teach the given subjects and gain the ability to interpret course thus mathematics.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Can learn the types of some special matrices. PO-1 Fundamental theorems of about some sub-theories of Analysis, Applied Mathematics, Geometry, and Algebra can apply to new problems.
 		Examination
LO-2 Can attain scientific knowledge and study as independent. PO-2 Ability to assimilate mathematic related concepts and associate these concepts with each other.
 		Performance Project
Term Paper
LO-3 Can realize the applications of special matrices and characterizations. PO-3 Mathematics, natural sciences and their branches in these areas and related issues has sufficient infrastructure solutions for the problems of theoretical and practical uses of mathematics.
 		Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Norms for vectors and matrices, Analytic, algebraic and geometric properties of vector norms, Errors in inverses and solutions of linear system, Location and perturbation of eigenvalues, Gersgorin discs, Perturbation theorems, Positive definite matrices and characterizations, Inequalities for positive definite matrices, Nonnegative matrices and characterizations, Irreducible nonnegative matrices, Stochastic and doubly stochastic matrix.
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Norms for vectors and matrices Teaching of Topic and Applications
2 Norms for vectors and matrices Teaching of Topic and Applications
3 Analytic, algebraic and geometric properties of vector norms, Teaching of Topic and Applications
4 Errors in inverses and solutions of linear system Teaching of Topic and Applications
5 Location and perturbation of eigenvalues Teaching of Topic and Applications
6 Gersgorin discs Teaching of Topic and Applications
7 Perturbation theorems Teaching of Topic and Applications
8 mid-term exam
9 Positive definite matrices and characterizations Teaching of Topic and Applications
10 Positive definite matrices and characterizations Teaching of Topic and Applications
11 Inequalities for positive definite matrices Teaching of Topic and Applications
12 Nonnegative matrices and characterizations Teaching of Topic and Applications
13 Nonnegative matrices and characterizations Teaching of Topic and Applications
14 Irreducible nonnegative matrices Teaching of Topic and Applications
15 Stochastic and doubly stochastic matrix Teaching of Topic and Applications
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Horn R. A. (1985), Matrix analysis, Cambridge University Press
2 Bronson R. (1989), Matris İşlemleri (Tercüme),Nobel Yayın Dağıtım
3 Serre D. (2010), Matrices: Theory and Applications (Graduate Texts in Mathem atics), Springer (2.Edition)
Required Course instruments and materials
The books of lecture.

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 2 30
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project 7 2 10
8.Term Paper 14 2 10
9.Project
final exam 16 2 50

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 3 14 42
Outside Class
       a) Reading 2 14 28
       b) Search in internet/Library 2 14 28
       c) Performance Project 3 7 21
       d) Prepare a workshop/Presentation/Report 0
       e) Term paper/Project 3 7 21
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 3 8 24
mid-term exam 2 1 2
Own study for final exam 3 8 24
final exam 2 1 2
0
0
Total work load; 192