COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Linear Algebra * ECMZ   203 3 3 3 6

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction English
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Asst.Prof.Dr. Fela ÖZBEY
Instructors
Dr. Öğr. ÜyesiFELA ÖZBEY1. Öğretim Grup:A
 
Assistants
Goals
This module aims to provide an accessible review of the linear algebra from the text book to long after the class. Linear algebra is an essential part of the mathematical background required of econometricians. It presents a source for undergraduate students. In general it covers an introduction to linear algebra which will be found helpful to all readers.
Content
Students will be able to define matrices, matrix algebra, special types of matrices, elementary row and colon operations, echelon form, rank of a matrix, elementary matrices, inverses, equivalent matrices, determinants, properties of determinants, cofactor and adjoint of a matrix, derivation of inverse matrix, systems of linear equations, solutions of systems of linear equations, Cramer´s method, Gauss’s elimination method, vector spaces, subspaces, linear independence, bases and dimension, coordinates, change of basis, inner product spaces, standard inner product, orthogonal subspaces, orthogonal complement of a subspace, inner product, inner product spaces, orthogonal basis, orthogonal matrices, Gram-Schmidt orthogonalization methods, linear transformations, matrix representations of linear transformations, eigen values, eigen vectors, diagonalization, Cayley-Hamilton’s Theorem, quadratic forms, Hermitian forms, numerical applications.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Explains Econometric concepts
2
Acquires basic Mathematics, Statistics and Operation Research concepts
3
Equipped with the foundations of Economics, and develops Economic models
4
Describes the necessary concepts of Business
5
Models problems with Mathematics, Statistics, and Econometrics
6
Estimates the model consistently and analyzes & interprets its results
7
Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems
8
Collects, edits, and analyzes data
9
Uses a package program of Econometrics, Statistics, and Operation Research
10
Effectively works, take responsibility, and the leadership individually or as a member of a team
11
Awareness towards life-long learning and follow-up of the new information and knowledge in the field of study
12
Develops the ability of using different resources in the form of academic rules, synthesis the information gathered, and effective presentation in an area which has not been studied
13
Uses Turkish and at least one other foreign language, academically and in the business context
14
Good understanding, interpretation, efficient written and oral expression of the people involved
15
Improves his/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development
16
Questions traditional approaches and their implementation while developing alternative study programs when required
17
Recognizes and implements social, scientific, and professional ethic values
18
Follows actuality, and interprets the data about economic and social events

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Systems of Linear Equations and Matrices Students will be prepared by studying relevant subjects from source books according to the weekly program
2 Systems of Linear Equations and Matrices Students will be prepared by studying relevant subjects from source books according to the weekly program
3 Elementary Matrices Students will be prepared by studying relevant subjects from source books according to the weekly program
4 Determinant Function, Determinant, Cramer Method Students will be prepared by studying relevant subjects from source books according to the weekly program
5 Vector Spaces Students will be prepared by studying relevant subjects from source books according to the weekly program
6 Vector Spaces Students will be prepared by studying relevant subjects from source books according to the weekly program
7 Vector Spaces Students will be prepared by studying relevant subjects from source books according to the weekly program
8 Midterm Exam
9 Linear Transformations and Matrices Students will be prepared by studying relevant subjects from source books according to the weekly program
10 Linear Transformations and Matrices Students will be prepared by studying relevant subjects from source books according to the weekly program
11 Linear Transformations and Matrices Students will be prepared by studying relevant subjects from source books according to the weekly program
12 Inner Product Space Students will be prepared by studying relevant subjects from source books according to the weekly program
13 Inner Product Space Students will be prepared by studying relevant subjects from source books according to the weekly program
14 Eigenvalues and Eigenvectors Students will be prepared by studying relevant subjects from source books according to the weekly program
15 Eigenvalues and Eigenvectors Students will be prepared by studying relevant subjects from source books according to the weekly program
16-17 Final Exam

Recommended or Required Reading
Textbook
Additional Resources