Course Name Code Semester T+U Hours Credit ECTS
Linear Algebra and Its Applications IME 510 0 3 + 0 3 6
 Precondition Courses Recommended Optional Courses Course Language Turkish Course Level yuksek_lisans Course Type Optional Course Coordinator Prof.Dr. MELEK MASAL Course Lecturers Dr.Öğr.Üyesi AYŞE ZEYNEP AZAK, Course Assistants Res.Asst.Emine Nur BİLGİÇ Course Category Available Basic Education in the Field Course Objective Demonstrate the applications of mathematics by making it easier and more enjoyable though which contains the most important concepts of mathematics language and the most basic tools in every area of mathematics and engineering. Course Content Definition of Linear Algebra, Foundations of Linear Algebra, History of Linear Algebra, Vectors and its applications in Linear Algebra, Vector space and its applications in Linear Algebra, Inner product space in Linear Algebra and its applications, Matrices in Linear Algebra, Determinant in Linear Algebra and its applications, Modules in Linear Algebra and its applications, Linear equations systems in Linear Algebra and its applications, Characteristic values in Linear Algebra, Characteristic vectors and their applications in Linear Algebra, Some special transformations in Linear Algebra.
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Explain the matrices and linear equations systems Lecture, Question-Answer, Homework, Performance Task,
2 Express the solution of linear equations systems that solved by elementary operations and solve this method Lecture, Question-Answer, Homework, Performance Task,
3 Express the solution of linear equations systems that solved by Gauss-Jordan method and solve this method Lecture, Question-Answer, Homework, Performance Task,
4 Explain the vector spaces and their properties. Lecture, Question-Answer, Homework, Performance Task,
5 Express and apply the concepts of linear independence, linear dependence, basis, dimension. Lecture, Question-Answer, Homework, Performance Task,
6 Express and apply the rank of matrice. Lecture, Question-Answer, Homework, Performance Task,
Week Course Topics Preliminary Preparation
1 Definition of Linear Algebra
2 Foundations of Linear Algebra
3 History of Linear Algebra
4 Vectors and its applications in Linear Algebra
5 Vector space and its applications in Linear Algebra
6 Inner product space in Linear Algebra and its applications
7 Matrices in Linear Algebra
8 Determinant in Linear Algebra and its applications
9 Midterm Exam
10 Modules in Linear Algebra and its applications
11 Linear equations systems in Linear Algebra and its applications
12 Characteristic values in Linear Algebra
13 Characteristic vectors and their applications in Linear Algebra
14 Some special transformations in Linear Algebra
Resources
Course Notes
Course Resources
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 50
1. Kısa Sınav 15
1. Ödev 20
2. Kısa Sınav 15
Total 100
1. Yıl İçinin Başarıya 40
1. Final 60
Total 100