Lesson plan / ENGINEERING MATHEMATICS-I

Lesson Information

Course Credit 2.0
Course ECTS Credit 5.0
Teaching Language of Instruction Türkçe
Level of Course Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course Compulsory
Mode of Delivery Face-to-face
Does the course require compulsory or optional work experience? Z
Course Coordinator
Instructor (s)
Course Assistant

Purpose and Content

The aim of the course The aim of this course is to introduce topics in linear algebra which is of particular importance to obtain solutions of advanced civil engineering problems.
Course Content Matrix definitions, Addition, Scalar Multiplication, And Transposition, Square matrices, Introduction to Determinants, Properties of Determinants, Matrix Multiplication, Matrix Inversion, Systems of Linear Equations, Vector Spaces and Subspaces , Linearly Independent Sets; Bases, Eigenvalues And Eigenvectors , Cayley - Hamilton Theorem

Weekly Course Subjects

1Matrices: matrix definition, equality of matrices, multiplication of matrices.
2Special matrices and applications.
3Elemantary row and column operations, Echelon Forms
4Determinants, properties of Determinants.
5Sarrus rule, Dimension and Rank
6Linear equation systems.
7Cramer method.
8Vector Spaces, Vector Spaces and Subspaces, Linear Transformations
9Midterm exam
10Vectoral multiplication and properties
11Linear dependence and independence
12Applications for linear dependence and independence
13Eigenvalues And Eigenvectors
14Cayley-Hamilton Theorem

Resources

1.Hacısalihoğlu, H. H., Lineer Cebir I, Bilim Yayınları, Ankara, 2000.
2.S. J. Leon, "Linear Algebra with Applications", Prentice Hall, 2002, Sixth Edition.
3. S. Lipschutz, Theory and Problems of Linear Algebra , Schaum’s Outline of McGraw-Hill Book Co.,1987,Singapore.