Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF ENGINEERING & ARCHITECTURE / MM109 - DEPARTMENT OF MECHANICAL ENGINEERING

Code: MM109 Course Title: LINEAR ALGEBRA Theoretical+Practice: 2+0 ECTS: 4
Year/Semester of Study 1 / Fall Semester
Level of Course 1st Cycle Degree Programme
Type of Course Compulsory
Department DEPARTMENT OF MECHANICAL ENGINEERING
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer MEHMET PARLAK (mehmetparlak@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
Vectors, Matrices, linear systems of equations, determinants, vector spaces, subspaces, bases, dimension, linear transformations. Through the course of this method held understand math mathematical thinking orally and in writing is to ensure the development of the ability to express.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 can explain about vectors and operation done by vectors PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-6 Then, in the field of Machnical engineering uses existing methods and devices according to the standards, test design, test makes, collects data, analyzes and reviews the results.
Examination
LO-2 can define vector space PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions.
Examination
LO-3 can explain the application areas matrices and determinants. PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions.
Examination
LO-4 can solve systems of linear equations. PO-1 Student, mathematics, physics, chemistry and basic engineering knowledge, has the sufficient information for use in the field of Mechanical Engineering.
PO-7 Student, mathematics, physics, chemistry and theoretical and practical knowledge in the field of Machnical Engineering is able to use for engineering solutions.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Vectors, the operations performed by vectors, Vector multiplication, inner product, Matrices, matrix operations, Special Matrices, Elementary operations and applications, Inverse matrix and to find the inverse of the matrix, Matrix Algebra, Determinants, High-dimensional determinants, Systems of linear equations, Homogeneous systems of linear equations, Non-homogeneous systems of linear equations, To Solve systems of equations, Cramer Method, Gauss Elimination Method
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Vectors, the operations performed by vectors. Presentation, answer-question, solution of problems methods
2 Vector multiplication, inner product. Presentation, answer-question, solution of problems methods
3 Matrices, matrix operations, Special Matrices Presentation, answer-question, solution of problems methods
4 Elementary operations and applications Presentation, answer-question, solution of problems methods
5 Inverse matrix and to find the inverse of the matrix Presentation, answer-question, solution of problems methods
6 Matrix Algebra Presentation, answer-question, solution of problems methods
7 Determinants Presentation, answer-question, solution of problems methods
8 mid-term exam
9 High-dimensional determinants Presentation, answer-question, solution of problems methods
10 Systems of linear equations Presentation, answer-question, solution of problems methods
11 Homogeneous systems of linear equations Presentation, answer-question, solution of problems methods
12 Non-homogeneous systems of linear equations Presentation, answer-question, solution of problems methods
13 To Solve systems of equations Presentation, answer-question, solution of problems methods
14 Cramer Method Presentation, answer-question, solution of problems methods
15 Gauss Elimination Method Presentation, answer-question, solution of problems methods
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 F.Başar, Lineer Cebir, Sürat Üniversite Yayınları, 2012 .H.H.Hacısalihoğlu, Lineer Cebir, Gazi Üniversitesi Yayınları,2002.
Required Course instruments and materials

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 1 40
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam 16 1 60

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 2 14 28
Outside Class
       a) Reading 0
       b) Search in internet/Library 0
       c) Performance Project 0
       d) Prepare a workshop/Presentation/Report 0
       e) Term paper/Project 0
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 5 6 30
mid-term exam 1 1 1
Own study for final exam 10 5 50
final exam 1 1 1
0
0
Total work load; 110