Mathematical Methods In Geophysics
Geophysical Engineering
Faculty of Engineering
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Mathematical Methods In Geophysics | JFZ208 | Compulsory | Bachelor's degree | 2 | Spring | 5 |
Name of Lecturer(s)
Prof. Dr. Şerif BARIŞ
Learning Outcomes of the Course Unit
1) Seeing into the working principles of early warning systems.
2) Explaning the the algorithms for early warning systems
3) Exploring the seismic gaps.
4) Determining the under-station ground structure.
5) Evaulating the ground-motion presumably.
6) Learning methods of earthquake prediction
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | ||
| Learning Outcomes | ||||||||||||
| 1 | No relation | No relation | No relation | Low | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | Middle | |
| 3 | No relation | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | Low | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | Middle | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 6 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
aa
Course Contents
Early warning systems, examples, early warning algorithms
Weekly Schedule
1) Introduction, Physical Methods in Mathematics and relaiton between them, resources2) Vectors, scalar numbers and mathematical operations with vecotrs, importnace in geophysics, usage fields, resultant of vectors
3) Physical meaning of vectors, definition and descirption of gradient, divergence and rotation,
4) Vector operations and problem solving and application of applied fields in geophysics
5) Rules on vectorial applicaitons and physical meanings, complex numbers, exponential numbers, Euler equation, functions and importance of above applications in geophysics
6) Division vectors into components, projection and their applications, application fields, derivatives and physcial meaning, why we need derivatives
7) Partial derivatives and their applicaitons in geophysical fields and physical meanings, limit, calculation derivatives by using limit, cahain rules and wave equations
8) Midterm examination/Assessment
9) Applications of partial derivatives in geophysics, wave equation,solutions for diffusion and heat equations
10) Fourier series and evaluation of coefficients,physical meanings of series and their coefficients, application fields in geophysics and case studies
11) Physical meaning of Fourier transforms and inverse fourier transforms, usage fields in geophyscis and relation between Fourier series with the division of vectors into components
12) Rules of integrals, physical meaning of integrals and applications in geophysics, rules of double integrals, zone transformations
13) Methods for calculation of area, volume, moment of inertia and gravity center by using doube integrals,thierphysical meanings
14) Rules of triple integrals, zone transformation in triple integrals, calculation methods of area, volume, moment of inertia and gravitiy center
15) Different examples of calculation of area, volume and gravity center and solving problems
16) Final examination
Recommended or Required Reading
1- ders notları
2- genel matematik
3- Calculus
4- VEktörel Analiz
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
60% |
|---|---|
Contribution of Final Examination to Course Grade |
40% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required