Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

INSTITUTE OF SCIENCE / JFM502 - GEOPHYSICAL ENGINEERING (Master's Degree)

Code: JFM502 Course Title: ADVANCED DIFFERENTIAL EQUATIONS Theoretical+Practice: 3+0 ECTS: 6
Year/Semester of Study 1 / Spring Semester
Level of Course 2nd Cycle Degree Programme
Type of Course Optional
Department GEOPHYSICAL ENGINEERING (Master's Degree)
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer ÖZCAN ÇAKIR (ocakir@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
To give basic concepts related to differential equations graduate-level in acquired in graduate-level lessons of physics, mathematics, and vocational courses by reinforcing with applications of geophysical discipline to students.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Be able to create a mathematical model belonging to variety problems. 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.
Examination
LO-2 Be able to interprate the solution within the concept of the phenomenon being modelled. 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-3 Be able to obtain solution for models studied within the scope of the course. 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
Simple differential equations. Series solutions. Legendre's And Bessel's Equations. Sturm-Louiville Equation. Laplace Transform mid-term exam. Fourier Series And Integrals. Fourier Series And Integrals, Heat, Wave And Laplace's Equations.Green's Function. Numerical And Approximate Methods
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Simple differential equations Problem solving method
2 Series solutions Problem solving method
3 Legendre's and Bessel's equations Problem solving method
4 Legendre's and Bessel's equations Problem solving method
5 Sturm-Louiville equation Problem solving method
6 Sturm-Louiville equation Problem solving method
7 Laplace transform Problem solving method
8 mid-term exam
9 Fourier series and integrals Problem solving method
10 Fourier series and integrals Problem solving method
11 Fourier series and integrals, heat, wave and Laplace's equations Problem solving method
12 Fourier series and integrals, heat, wave and Laplace's equations Problem solving method
13 Green's function Problem solving method
14 Green's function Problem solving method
15 Numerical and approximate methods Problem solving method
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Farlow, S. J., Partial Differential Equations for Scientists and Engineers, New York, N. Y. John Wiley&Sons, 1982.
2 Kreyszig, E., Advanced Engineering Mathematics, New York, N.Y. John Wiley & Sons, 1993.
3 Powers, D. L., Boundary Value Problems, San Diego, C. A. Harcourt Brace Jovanovich, 1987.
4 Snieder, R., A Guided Tour of Mathematical Physics, Samizdat Press, http://samizdat.mines.edu, 1998.
5 Lay, T. And T.C. Wallace, Modern Global seismology, San Diego, C. A. Academic Press. 1995
6 Sleep, N. H. And K. Fujita, Principles of Geophysics, Malden, M. A. Blackwell Science, 1997.
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) 3 14 42
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 10 7 70
mid-term exam 1 1 1
Own study for final exam 10 7 70
final exam 1 1 1
0
0
Total work load; 184