Course Name Code Semester T+U Hours Credit ECTS
Linear Algebra In Engineering MAT 114 2 2 + 0 2 4
Precondition Courses
Recommended Optional Courses
Course Language English
Course Level Bachelor's Degree
Course Type Compulsory
Course Coordinator Öğr.Gör.Dr. EMİNE ÇELİK
Course Lecturers Öğr.Gör.Dr. EMİNE ÇELİK,
Course Assistants
Course Category General Training
Course Objective

Students learn the concepts and apply the methods related with the solution of systems of linear equations, matrices and matrix operations, determinant, rank, eigenvalues and eigenvectors, transformations in two-dimensional space, vector spaces and the theory of linear operators.

Course Content

Solution of linear equations systems (Cramer, inverse matrix, reducing the normal form), matrix and determinant operations, eigenvalues and eigenvectors of the matrix, linear transformations in linear spaces.

# Course Learning Outcomes Teaching Methods Assessment Methods
1 Basic matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors on behavior of linear systems. , , , , , ,
Week Course Topics Preliminary Preparation
1 Introduction to systems of linear equations.
2 Vector Equations. The Matrix equation Ax=b. Row reduction and echelon forms.
3 Gaussian Elimination and Gauss-Jordan Elimination.
4 Operations with Matrices. Properties of Matrix operations.
5 Theory of linear systems, homogeneous and nonhomogeneous systems, rank.
6 The inverse of a matrix. Characterization of invertible matrices.
7 The Determinant of a Matrix. Determinants and Elementary operations. Properties of determinants.
8 Applications of Determinants, Cramer's rule.
9 Vectors, linear independence, bases and transformations.
10 The Scalar Product, inner product spaces, orthonormal bases: Gram-Schmidt Process.
11 Eigenvalues and eigenvectors.
12 The Characteristic function. Cayley-Hamilton Theorem.
13 Diagonalization. Similar Matrices.
14 Eigenvalues and eigenvectors on behaviors of linear systems.
Resources
Course Notes <p>Lecture Notes</p>
Course Resources

[1] David C.Lay, Linear Algebra and Its Applications, Pearson, 2003.

[2] Ron Larson,  Elementary Linear Algebra, Cengage Learning, 2017.

Evaluation System
Semester Studies Contribution Rate
1. Ödev 100
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
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 8 8
Quiz 2 8 16
Assignment 1 8 8
Final examination 1 10 10
Total Workload 106
Total Workload / 25 (Hours) 4.24
dersAKTSKredisi 4