COURSE UNIT TITLE

: COMPUTATIONAL PHYSICS-I

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
PHY 5071 COMPUTATIONAL PHYSICS-I ELECTIVE 3 0 0 7

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

PROFESSOR DOCTOR GÜL GÜLPINAR

Offered to

PHYSICS
PHYSICS

Course Objective

The content serves the scope of presenting training in an algorithmic
approach to problems in the sciences, represented here by the unity of three disciplines,
physics, mathematics and informatics. This trinity outlines the emerging field of computational
physics.

Learning Outcomes of the Course Unit

1   Acquire a deeper understanding of the laws of physics in selected sub-fields, set up and solve a variety of advanced problems in selected sub-fields, Thermodynamics and statistical physics, Symmetry and conservation laws, Mechanics, electromagnetism, and/or quantum/atomic physics
2   Become proficient with the tools used to solve physics and engineering problems: math: ordinary and partial differential equations, Fourier analysis, apply these advanced methods to the solution of physics problems,computer: simulation of physical systems, 3D and stereo scientific visualization
3   Experience independent learning, such as exploratory computational projects focused on specific systems, apply techniques or computer simulation to explore practical problems , research projects and teaching, participate in a research project under the direction of a faculty member and/or teach an elementary lab section
4   Communicate effectively in all classroom situations; full computational project reports, write a complete, self-contained report, understandable by student pers,scientific presentations, present results of a research project or lab exercise to peers and/or Faculty
5   Being able to explain assumptions and logic steps in the numerical solution of a physics problem

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Overview of Computational Physics and what is covered
2 F90 and Representation of Numbers.
3 Integration of ODEs-1 Introduction, Euler methods, Numerical errors and instability
4 Integration of ODEs-2 Runge-Kutta methods,An example fixed-step RK4 routine,Adaptive integration methods
5 Numerical investigation of chaotic pendulum -1 Introduction,Analytic solution, Numerical solution
6 Numerical investigation of chaotic pendulum -2 The Poincaré section,Spatial symmetry breaking, Basins of attraction
7 Numerical investigation of chaotic pendulum -3 Period-doubling bifurcations,The route to chaos,Sensitivity to initial conditions,The definition of chaos, Periodic windows
8 mid term1
9 Numerical integration-1 Introduction, Trapezoid Sums,Simpson's Rule
10 Numerical integration-2 Romberg method, Poisson equation
11 Fourier transformation-1
12 Fourier transformation-2
13 Linear Algebra and Eigensystems-1
14 Linear Algebra and Eigensystems-2

Recomended or Required Reading

1. N. Giordano and H. Nakanishi (2005), Computational Physics, 2nd Edition Prentice Hall.
2. R. H. Landau, M. J. Paez and Cristtian C. Bordeianu (2007), Computational Physics, Problem Solving with Computers, 2nd Edition, Wiley-VCH.
3. T. Pang , (2006), Introduction to Computational Physics, 2nd Edition Cambridge.
4. W.H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery (2007), Numerical Recipes, The Art of Scientific Computing, 3rd Edition, Cambridge University Press.

Planned Learning Activities and Teaching Methods

1. Lecturing
2.Question-Answer
3.Discussing
4.Homework

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 ASG ASSIGNMENT
2 MTE MIDTERM EXAM
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE ASG * 0.30 + MTE * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) ASG * 0.30 + MTE * 0.30 + RST * 0.40


Further Notes About Assessment Methods

None

Assessment Criteria

Assessment Criteria:
1. The homework and mid-term exams of the student is assessed as the achievement of them in the semester.
2. At %40 score of final examination is added directly to the others.

Language of Instruction

English

Course Policies and Rules

Course Policies and Rules:
1. It is obligated to continue at least 70% of lessons.
2. If the student don t make the homework and attend mid-terms, he does not access the final exam

Contact Details for the Lecturer(s)

gul.gulpinar@deu.edu.tr

Office Hours

to be announced

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lecture 13 3 39
Preparations for Homework 12 8 96
Preparations for mid-term exam 1 10 10
Preparations for final exam 1 15 15
Mid term exams 1 2 2
Final exam 1 3 3
TOTAL WORKLOAD (hours) 165

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10
LO.15
LO.24543
LO.345
LO.45453
LO.534