Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

INSTITUTE OF SCIENCE / FİZ547 - PHYSICS (MASTER'S DEGREE)

Code: FİZ547 Course Title: NUMERICAL CALCULATION 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 PHYSICS (MASTER'S DEGREE)
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer BAYRAM DEVİREN (bayram.deviren@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course
To teach numeric derivative, integral and finding root with their applications. To teach methods for numerical solution of simple differantial equations, boundary-values and eigenvalue problems.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Learning nümerical methods and their applications to physical sysytems using a computer programing language. PO-2 Comprehend interdisciplinary interactions and relations relevant to physics; analyze, compose, synthesize and evaluate new and complex ideas and to obtain original results by using expertise knowledge of the field
PO-3 Obtain new scientific knowledge and gain higher level of skills in field of search
 		Examination
Performance Project
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
The basic mathematical process (numerical derivative and integral, finding root), numerical solution of simple differantial equations, boundary-values and eigenvalue problems, special functions and Gaussian integrals
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Several nümeric derivatives and computer programs as example Course lectures and presentation, aplication on computer
2 Methods for nümeric interrals: trapezoidal, Simpson and Bode Methods Course lectures and presentation, aplication on computer
3 Finding roots: dividing interval, Newton-Raphson and Secant methods, solving the problems using computer programing Course lectures and presentation, aplication on computer
4 Application of the physical systems using these methods: semiclassical kuantization of the molecular vibrations Course lectures and presentation, aplication on computer
5 Numerical solutions of the ordinary differential equations: Euler and generalized Euler Methods Course lectures and presentation, aplication on computer
6 Adams-Basforth, Adams -Multon methods Course lectures and presentation, aplication on computer
7 Runge-Kutta methods and their applications Course lectures and presentation, aplication on computer
8 mid-term exam
9 Numerical solutions of the boundary problems Course lectures and presentation, aplication on computer
10 Numerical solution of the quantum mechanical system: Numerov method Course lectures and presentation, aplication on computer
11 Solution to Schrödinger equation with Numerov method Course lectures and presentation, aplication on computer
12 Numerical calculation of the energy levels for some molecules Course lectures and presentation, aplication on computer
13 Examples for numerical solutions of the eigen value problems Course lectures and presentation, aplication on computer
14 Numerical calculation of the special functions, Gausian integrals Course lectures and presentation, aplication on computer
15 Examples related numerical methods using programing Course lectures and presentation, aplication on computer
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Computational Physics: Fortran Version, Steven Konin and Dawn Meredith, Spring 2002
2 Dieter W. Heermann, Computer Simulation Methods in Theoretical Physics, second edition, Springer-Verlag (1990).
Required Course instruments and materials

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 2 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 2 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 3 14 42
       b) Search in internet/Library 2 14 28
       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 3 9 27
mid-term exam 2 1 2
Own study for final exam 4 9 36
final exam 2 1 2
0
0
Total work load; 179