Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF ENGINEERING & ARCHITECTURE / JFM 104 - GEOPHYSICAL ENGINEERING

Code: JFM 104 Course Title: VECTORS AND MATRICES Theoretical+Practice: 2+0 ECTS: 4
Year/Semester of Study 1 / Spring Semester
Level of Course 1st Cycle Degree Programme
Type of Course Compulsory
Department GEOPHYSICAL ENGINEERING
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer NART COŞKUN (nartc@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
To introduce vector and matrix concepts and identify the characteristics of process in these concepts then theories in this field to associate professional courses.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Be able to solve problem in vector fields. PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems.
PO-2 An ability to identify, formulate, and solve geophysical engineering problems and knowledge of contemporary issues.
PO-4 An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.
Examination
LO-2 Be able to adapt algebraic operations on functions to matrices. PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems.
PO-2 An ability to identify, formulate, and solve geophysical engineering problems and knowledge of contemporary issues.
PO-4 An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.
PO-6 An ability to interpret the processed data by using multidisciplinary approach.
Examination
LO-3 Be able to define vector spaces with matrices. PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems.
PO-2 An ability to identify, formulate, and solve geophysical engineering problems and knowledge of contemporary issues.
PO-6 An ability to interpret the processed data by using multidisciplinary approach.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Vector spaces, definations, vector in the addition, substraction and multiplication, linear functions, various coordinat devices, moment of a strength, gradient, divergence and rotational of a vector, integral. Theory of Stokes and Diverjans, Green Functions. Vector spaces. The concept of matrix, matrix types. Multiplication and addition in the matrix and aplications. Determinant of matrix, matrix inverse, singularity and recovery from singularity.
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Vector spaces, definations Problem solving method
2 Addition in the vector substraction and multiplication Problem solving method
3 Linear functions Problem solving method
4 Various coordinat devices Problem solving method
5 Moment of a strength Problem solving method
6 Gradient, divergence and rotational of a vector Problem solving method
7 Integral Problem solving method
8 mid-term exam
9 Theory of stokes and diverjans Problem solving method
10 Green functions Problem solving method
11 Yöney uzayları Problem solving method
12 Multiplication and Addition in the Matrix and applications Problem solving method
13 Determinant of matrix Problem solving method
14 Dizeyin determinantı Problem solving method
15 Matrix inverse, singularity and recovery from singularity Problem solving method
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Phillips, H. B. 1964, Vektörel Analiz, Ankara Üniversitesi Fen Fakültesi Yayınları.
2 Bronson, R., 1999. Matris işlemleri, Nobel Yay.
3 MacDuffee, C. C 1953, Vectors and matrices, Mathematical Assocation of America.
4 Noble, B., 1977. Applied linear algebra, Prentice-Hall
5 Lanczos, C., 1961, Linear differential operators, D. Van Nostrand Co., London. 562 pages.
6 Lawson, C. L. and Hanson, R. J., 1974, Solving least squares problems, Prentice-Hall, Inc., New Jersey, 340 pp.
7 Potter, M. C. 1978, Mathematical methods in the physical sciences. Prentice-Hall. 466 pages
8 Seymur Lipschutz, Lineer Cebir, Schaum's outlines, 2. Baskıdan Çeviri, 1991.
Required Course instruments and materials
None

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 6 7 42
mid-term exam 1 1 1
Own study for final exam 7 7 49
final exam 1 1 1
0
0
Total work load; 121