Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF ENGINEERING & ARCHITECTURE / JFM 213 - GEOPHYSICAL ENGINEERING

Code: JFM 213 Course Title: DIFFERENTIAL EQUATIONS Theoretical+Practice: 3+0 ECTS: 4
Year/Semester of Study 2 / Fall 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 MURAT ERDURAN (merduran@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
To provide students with general knowledge on formulating problems that arises in applied sciences as mathematical models, to solve such models through analytical, qualitative and numerical methods, as well as interpreting solutions within the concept of physical problem at hand.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Be able to create mathematical models for a variety of problems. PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems.
PO-3 An ability to design field experiments, as well as analyze and interpret data.
Examination
LO-2 Be able to solve the model using analytical, qualitative and partically some numerical methods. PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems.
PO-6 An ability to interpret the processed data by using multidisciplinary approach.
PO-8 Have the students gain knowledge in site investigation of the environmental and archaeological problems, and designing solutions to the engineering problems in terms of natural hazard risk assessments in particular infrastructure needs of the society.
Examination
LO-3 Be able to interpret the solution whithin 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-3 An ability to design field experiments, as well as analyze and interpret data.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Classification of ordinary differential equations, degree and order. Methods of solution of differential equations, series solutions, the second order and higher order differential equations with constant coefficients. Partial differential equations, classification, solution methods: separation of variables, Laplace transform and the series name, and the high-order partial differential equations.
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Classification of ordinary differential equations Problem solving method
2 Order and degree Problem solving method
3 Methods of solution of differential equations, series solutions Problem solving method
4 Methods of solution of differential equations, series solutions Problem solving method
5 Second Order with order with constant coefficients differential equations and higher order differential equations Problem solving method
6 Second order with constant coefficients differential equations and higher order differential equations Problem solving method
7 Second order with constant coefficients differential equations and higher order differential equations Problem solving method
8 mid-term exam
9 Partial differential equations and their classification Problem solving method
10 Partial differential equations and their classification Problem solving method
11 Solution methods, separation of variables Problem solving method
12 Solution methods, separation of variables Problem solving method
13 Laplace transform Problem solving method
14 Laplace transform Problem solving method
15 Ordinary, higher order partial differential equations and solutions of series Problem solving method
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 S.L. Ross, Differential Equations, John Wiley and Sons, London, 1974.
2 G.F. Simmons, Differential Equations, Tota McGraw-Hill Publishing Company LTD., New Delhi, 1989.
3 R.Bronson, Differential Equations, McGraw-Hill Book Company, 1973.
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 5 7 35
mid-term exam 1 1 1
Own study for final exam 6 7 42
final exam 1 1 1
0
0
Total work load; 121