Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF ENGINEERING & ARCHITECTURE / JFM 201 - GEOPHYSICAL ENGINEERING

Code: JFM 201 Course Title: PROBABILITY AND STATISTICS Theoretical+Practice: 2+1 ECTS: 5
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 ÖZCAN ÇAKIR (ocakir@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
To provide general information the probability and statistics methods used geophysical data analysis and interpretation to students.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Be able to explain the types of data and data relationships of geophysical measurements. 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-3 An ability to design field experiments, as well as analyze and interpret data.
PO-4 An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.
Examination
LO-2 Be able to explain measures of central tendency and distributions and explain when and how to use them. 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-3 Be able to apply possibility and probability tests measured data. 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-4 Be able to evaluate the results of geophysical data and they determination an approach function for estimation procedures. 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-3 An ability to design field experiments, as well as analyze and interpret data.
PO-4 An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.
Examination
LO-5 Be able to analyze the data of the noise 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.
PO-3 An ability to design field experiments, as well as analyze and interpret data.
PO-4 An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Spaces of probability, in depence of events, conditional probability . Sample spaces and events, geometric probability. Random variables, distribution and probablity (density) functions. Expected value, variance and moments, moment generating function, the mode of distribution, the median. Some important probability models: Discrete uniform distribution, Bernoulli distribution, binomual distribution, geometric distribution, Poisson, uniform distribution, exponential distribution, normal distribution. multivariate distribution, indepency, covariance, correlation. Law of large numbers, Central limit theorem. Chi-square fit test, t- test, confidence intervals. Arithmetic average, geometric avarage, harmonic avarage, square root average, sample varience, standart deviation. Coefficient of relationship, histograms, frequency range (polygon), mod, median, class width. Simulation, least square method.
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Spaces of probability, ın depence of events, conditional probability Discussion method
2 Sample spaces and events, geometric probability Lecturing
3 Random Variables, Distribution and Probablity (Density) Functions Lecturing
4 Expected value, Variance and moments, moment generating function, the mode of distribution, the median Lecturing
5 Some ımportant probability models, discrete uniform distribution, Bernoulli distribution, Binomual distribution, geometric distribution, Poisson distribution Lecturing
6 Uniform distribution, exponential distribution, normal distribution Lecturing
7 Multivariate distribution, indepency, covariance, correlation Lecturing
8 mid-term exam
9 Law of large numbers, central limit theorem Lecturing
10 Parameter estimation Problem solving method
11 Chi-Square Fit Test, T- Test, Confidence Intervals Problem solving method
12 Arithmetic average, geometric avarage, harmonic avarage, square root average, sample varience, standart deviation, coefficient of relationship Problem solving method
13 Histograms, frequency range (polygon), mod, median, class width Problem solving method
14 Simulasyon Description application
15 Least square method Description application
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Olasılık ve İstatistik, Fikri Akdeniz, AÜFF Yay.
2 Matematiksel İstatistik, Fikri Öztürk, AÜFF Yay.
3 Jeofizikte Veri İşlem, Nezihi Canıtez, İTÜ Yay.
4 Matematiksel İstatistiğe Giriş, Uğur Korum, AÜSBF Yay.
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 7 7 49
mid-term exam 1 1 1
Own study for final exam 8 7 56
final exam 1 1 1
0
0
Total work load; 149