Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT345 - MATHEMATICS

Code: MAT345 Course Title: ADVANCED LINEAR ALGEBRA I Theoretical+Practice: 4+0 ECTS: 6
Year/Semester of Study 3 / Fall Semester
Level of Course 1st Cycle Degree Programme
Type of Course Optional
Department MATHEMATICS
Pre-requisities and Co-requisites LINEAR ALGEBRA I,
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer NECDET BATIR (nbatir@nevsehir.edu.tr)
Name of Lecturer(s) NECDET BATIR,
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
To teach topics which are based on other mathematics lectures.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Can remember vector spaces, linear transformations and prove the theorems about topic. PO-1 Have the ability to conceptualize the events and facts related to the field of mathematics such as Analysis, Geometry and Algebra with the help of the scientific methods and techniques and can define these concepts.
Examination
LO-2 Can set a relation between matrices and linear transfomations. PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Vector spaces, Linear dependence and linear independence, Basis and dimension, Vector coordinates by a basis, Inner product and norm, Linear transformations, Matrix representations of a linear transformations, Orthogonal lineer transformations, Linear functionals and dual spaces, Hermit, unitary and normal trasnformations
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Vector spaces Teaching topic and applications
2 Linear dependence and linear independence Teaching topic and applications
3 Basis and dimension Teaching topic and applications
4 Coordinates Teaching topic and applications
5 Lineer operators Teaching topic and applications
6 Lineer operators Teaching topic and applications
7 Matrix representation of Linear operators Teaching topic and applications
8 mid-term exam
9 Matrix representation of Linear operators Teaching topic and applications
10 Matrix representation of Linear operators Teaching topic and applications
11 Linear functionals and dual spaces Teaching topic and applications
12 Linear functionals and dual spaces Teaching topic and applications
13 Characteristic values and characteristic vektors of a linear operator Teaching topic and applications
14 Characteristic values and characteristic vektors of a linear operator Teaching topic and applications
15 Characteristic values and characteristic vektors of a linear operator Teaching topic and applications
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Lineer Cebir, D.Taşçı,Ankara
Required Course instruments and materials
The lecture books

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 2 40
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam 16 2 60

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 4 14 56
Outside Class
       a) Reading 2 14 28
       b) Search in internet/Library 3 14 42
       c) Performance Project 0
       d) Prepare a workshop/Presentation/Report 0
       e) Term paper/Project 0
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 3 7 21
mid-term exam 2 1 2
Own study for final exam 3 7 21
final exam 2 1 2
0
0
Total work load; 172