Lineer Algebra And Analytical Geometri
Metallurgical and Materials Engineering
Faculty of Engineering
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Lineer Algebra And Analytical Geometri | MMT213 | Elective | Bachelor's degree | 2 | Fall | 4 |
Name of Lecturer(s)
Associate Prof. Dr. Sezgin BÜYÜKKÜTÜK
Associate Prof. Dr. Ersoy ERİŞİR
Associate Prof. Dr. İlim KİŞİ
Associate Prof. Dr. Sibel KOPARAL
Associate Prof. Dr. Günay ÖZTÜRK
Research Assistant Ebru AYDOĞDU
Learning Outcomes of the Course Unit
1) calculating the combination.
2) Solving the Binomial formula.
3) Defining the Rn and Cn vectors and making the Will vector operations.
4) Solving the linear equation systems and Gauss method.
5) Explaining the matrices and making the matrix operations.
6) calculating the equivalence of matrices and solution of linear equation systems.
7) Explaining the determinants, their properties and applications.
8) Solving the linear equation systems by Cramer’s rule.
9) Explaining the vector space, linearly dependent and linearly independent vectors, basis in vector space and dimension of vector space, unit vectors.
10) Defining the analytical geometry at R3, equation of line.
11) Explaining the equation of plane.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | ||
| Learning Outcomes | ||||||||||||
| 1 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
| 2 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
| 3 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
| 4 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
| 5 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
| 6 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
| 7 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
| 8 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
| 9 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
| 10 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
| 11 | High | Middle | Middle | Low | Low | No relation | Middle | No relation | High | Low | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Mathematics I, Mathematics II
Course Contents
Combination Calculations, Binomial Formula, Vectors and Vector Operations at Rn and Cn , Linear Equation Systems and their Solution by Gauss Method, Matrices and Matrix Operations, Equivalence of Matrices and Solution of Linear Equation Systems Determinants, their Properties and Applications, Solution of Linear Equation Systems by Cramer’s Rule, Vector Space, Linearly Dependent and Linearly Independent Vectors, Basis in Vector Space and Dimension of Vector Space, Unit Vectors, Analytical Geometry at R3, Equation of Line, Equation of Plane
Weekly Schedule
1) Linear Equation Systems2) Solution of the linear equation systems
3) Representation of linear equation systems in matrix form
4) Gauss-Jordan Method
5) Determinant
6) Solution of a linear equation system by using inverse matrix
7) Cramer method
8) Vectors in 3-dimensional Euclidean space
9) Linear independence, base on vector space
10) Eigen value, eigen vectors
11) Equation of a line in 3-dimensional Euclidean space
12) Equation of a plane
13) Midterm exam
14) Final exam
15) a
16) b
Recommended or Required Reading
1- Neşe Ömür-Lineer Cebir
2- Mustafa Balcı-Analitik Geometri
Planned Learning Activities and Teaching Methods
1) Question-Answer
2) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required