Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

INSTITUTE OF SCIENCE / JFM501 - GEOPHYSICAL ENGINEERING (Master's Degree)

Code: JFM501 Course Title: ENGINEERING MATHEMATICS Theoretical+Practice: 3+0 ECTS: 6
Year/Semester of Study 1 / Fall 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 develop finding and using appropriate analytical methods to solve such as differential equations and partial differential equations, linear and non linear algebraic equations that result from modeling of engineering problems, finding and applying appropriate numerical methods in case require numerical method to solve these equations, writing computer programs or use pre-packaged programs to apply these methods, determining differences and causes between the model results and the experimental results and interpretating their interpretation.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Be able to define the techniques of engineering mathematics. 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 solve mathematical problems based on the engineering. PO-1 An ability to apply knowledge of basic engineering sciences and earth sciences for the solution of geophysical engineering problems.
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 apply earned math skills to vocational problems. PO-2 An ability to identify, formulate, and solve geophysical engineering problems and knowledge of contemporary issues.
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.
PO-12 The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Vector fields of geophysics. Vector algebra. Multiple integrals. Integral of vector fields on curves and surfaces. Integral theorems. Matrix algebra. Inverse matrix. Core values, eigen vectors, complex analysis. Integral transforms. Applications to geophysical theory.
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 First and second-order ordinary differential equations Lecturing and problem solving
2 Partial diffrerential equations in mathematical physics Lecturing and problem solving
3 Partial diffrerential equations in mathematical physics Problem solving method
4 Partial diffrerential equations in mathematical physics Problem solving method
5 Laplace transform Problem solving method
6 Vectorel analysis, gradient, divergance, rotation Problem solving method
7 Vectorel analysis, gradient, divergance, rotation Problem solving method
8 mid-term exam
9 Solution of heat and wave equations by means of Fourier series Problem solving method
10 Solution of heat and wave equations by means of Fourier series Problem solving method
11 Solution of heat and wave equations by means of Fourier series Problem solving method
12 Analytical and numerical solutions of heat and wave equations Problem solving method
13 Analytical and numerical solutions of heat and wave equations Problem solving method
14 Applications of geophysical theory Problem solving method
15 Applications of geophysical theory Problem solving method
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 K. A. Stroud, 1986. Further Engineering Mathematics. Macmillan Education
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