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Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS GPE 5031 APPLICATION OF NONLINEAR REGRESSION TECHNIQUES COMPULSORY 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR GÖKHAN GÖKTÜRKLER

Offered to

Geophysical Engineering

Course Objective

Being able to apply inverse modeling to the engineering problems.

Learning Outcomes of the Course Unit

1   To be able to define the purpose and scope of inverse modeling in geophysics. 2   To be able distinguish the nonlinear problems. 3   To be able to determine the parameters by using different inverse modeling methods. 4   To be able to determine the parameter resolution. 5   To be able to do singular value decomposition.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description 1 Definitions of forward and inverse problems 2 Linear problem and its classification 3 Least-squares solution of linear problems 4 Weighted least squares 5 Generalized inverses 6 LU Decomposition 7 Cholesky Decomposition 8 Singular Value Decomposition 9 QR Decomposition 10 Nonlinear problems and linearization 11 Iterative solution of nonlinear problems 12 Steepest Descent Algorithm 13 Gauss-Newton Algorithm 14 Levenberg-Marquardt Algorithm

Recomended or Required Reading

- Doğrusal ve Doğrusal olmayan Problemlerin Ters-Çözümü, Prof.Dr. Ahmet T. Başokur, TMMOB jeofizik mühendisleri odası eğitim yayınları.166msayfaISBN 975-395-505-7 - Teori ve örneklerle jeofizikte modelleme, Yrd.Doç.Dr. Bülent ORUÇ, Kocaeli üniversitesi yayınları no:227, 340 sayfa

Planned Learning Activities and Teaching Methods

Lecture, homework, Exam

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA 1 MTE 1 MIDTERM EXAM 1 2 MTE 2 MIDTERM EXAM 2 3 ASG ASSIGNMENT 4 FIN FINAL EXAM 5 FCG FINAL COURSE GRADE MTE 1 + MTE 2/2 * 0.30 +ASG * 0.20 + FIN * 0.50 6 RST RESIT 7 FCGR FINAL COURSE GRADE (RESIT) MTE 1 + MTE 2/2 * 0.30 +ASG * 0.20 + RST * 0.50

Further Notes About Assessment Methods

None

Assessment Criteria

Homeworks %20 Midterm I: %15 LO1, LO2, LO3 Midterm II: %15 LO4, LO5 Final Exam: %50 LO1, LO2, LO3, LO4, LO5

Language of Instruction

English

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Dokuz Eylül Üniversitesi Mühendislik Fakültesi Jeofizik Mühendisliği Bölümü Tınaztepe Kampüsü 35160 Buca-IZMIR gokhan.gokturkler@deu.edu.tr

Office Hours

Friday -09:00-16:00

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours) Lectures 14 3 42 Preparation for midterm exam 2 15 30 Preparations before/after weekly lectures 14 5 70 Preparation for final exam 1 20 20 Preparing homeworks 1 20 20 Final 1 2 2 Midterm 2 2 4 TOTAL WORKLOAD (hours) 188

Contribution of Learning Outcomes to Programme Outcomes

PO/LO PO.1 PO.2 PO.3 PO.4 PO.5 PO.6 PO.7 PO.8 PO.9 PO.10 PO.11 PO.12 PO.13 LO.1 4 4 5 LO.2 4 5 5 LO.3 5 5 5 LO.4 4 4 3 LO.5 5 4 4