Course Name Code Semester T+U Hours Credit ECTS
Linear Algebra EKO 211 3 2 + 0 2 5
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Doç.Dr. NESRİN GÜLER
Course Lecturers Doç.Dr. NESRİN GÜLER,
Course Assistants
Course Category General Training
Course Objective

The objective of this course is giving students to the basic concepts of linear algebra and  providing to enable students to use linear algebra applications in courses such as econometrics and statistics.

Course Content

 

Systems of linear equations and their solutions, expressing the system of linear equations with matrices, solving systems of linear equations using matrix methods. Operations on matrices, inverse of a matrix, determinant, rank and their relations with solutions of linear equation systems, some special types of matrices, vectors, vector operations, eigenvalues ??and eigenvectors of square matrices and their relations with linear equation systems

# Course Learning Outcomes Teaching Methods Assessment Methods
1 He/she recognizes the system of linear equation and matrices. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
2 He/she finds the row reduced echelon form of a matrix or a linear system by using elementary row operation. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
3 He/she solves a given linear equation system Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
4 He/she explains the properties of determinants. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
5 He/she applies matrices and determinants to a system of linear equations. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
6 He/she understands the theory of the systems of linear equations Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
7 He/She learns the concept of linear independence and linear dependence. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
8 He/She learns concepts of basis and dimension. Lecture, Question-Answer, Discussion, Drilland Practice, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Linear Equation systems
2 Elementary Operations on Systems of Linear Equations
3 Matrices and Row Reduction of Linear Systems
4 Operations on Matrices
5 Matrices Forms of Linear Systems and Matrix Equations
6 Inverses of Matrices and Square Linear Systems
7 Theory of Linear Systems
8 Concept of Determinant and Properties of Determinants
9 Midterm Exam
10 Cramer's Rule and Adjoint Form of Inverse
11 Vectors in R^2 and R^3
12 Linear dependence and independence basis and dimension
13 Eigenvalues and eigenvectors
14 Diagonalization
Resources
Course Notes <p>Lecture notes,</p> <p>Stewart VENIT, Wayne BISHOP, Elementary linear algebra, McGraw Hill, Boston, 1985</p>
Course Resources

1.Basic Linear Algebra, T.S. Blyth and E. F. Robertson, Second ed. Springer.
2.Linear Algebra, John, B. Fraleigh and Raymond A. Beauregard, Addison Wesley, 1990, second ed.
3.David C.Lay, Linear Algebra and Its Applications, Pearson, 2003..
4.Lineer Cebir, Arif Sabuncuoğlu, Nobel yayınları, 2008.
5.Linner Cebir, H.Hilmi Hacısalihoğlu, Gazi Üniversitesi Yayınları.

Order Program Outcomes Level of Contribution
1 2 3 4 5
1 X
2 X
3
4
5
6
7 X
8 X
9
10
11
12 X
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 70
1. Kısa Sınav 10
2. Kısa Sınav 10
3. Kısa Sınav 10
Total 100
1. Final 60
1. Yıl İçinin Başarıya 40
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 2 32
Hours for off-the-classroom study (Pre-study, practice) 16 2 32
Mid-terms 1 20 20
Quiz 3 8 24
Final examination 1 20 20
Total Workload 128
Total Workload / 25 (Hours) 5.12
dersAKTSKredisi 5