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  Course Description
Course Name : Computer simulation Methods I

Course Code : FZ 481

Course Type : Optional

Level of Course : Sub-Level (Undergraduate Degree)

Year of Study : 4

Course Semester : Fall (16 Weeks)

ECTS : 3

Name of Lecturer(s) : Prof.Dr. METİN ÖZDEMİR

Learning Outcomes of the Course : Knows the basics of fortran language and its basic commands
Knows how to make plots of functions in two and three dimensions using a computer
Knows the sources of error in numerical calculations
Knows the concepts of precision and stability
Knows root finding methods and knows how to use them
Knows initial value problems
Knows how to solve initial value problems numerically
Can code simple programs

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites : None

Recommended Optional Programme Components : None

Aim(s) of Course : The purpose of this course is to introduce to the students the basics of numerical calculation, to indicate possible sources of errors and to introduce their possible solutions, to provide short reviews about programming, to provide the basics of discreatization and graphs of cunctions, to give the basics of numerical differentiation and to introduce the solution of ordinary differential equations with initial conditions.

Course Contents : Review of Fortran commands; functions and graphs of functions in 2 and 3 dimensions; error and its sources; root finding, bisection method, secant method, Newton-Raphson method, fixed point iterations, generalization of N-R method nonlineear set of equations; solution of initial value ordinary differential equations, Euler´s method, Euler-Richardson method, Runge-Kutta methods, R-K-Verner method, multi step methods.

Language of Instruction : Turkish

Work Place : Lecture halls of faculty


  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 Review of basic fortran commands Make preparation related with subject lecture, discussion
2 Computer graphics program, graphs of functions in two and three dimensions Make preparation related with subject lecture, discussion
3 Error, precision and stability, machine precision, running a simple program to find the precision of PC Make preparation related with subject lecture, discussion
4 Root finding, bisection method and its algorithm, program coding Make preparation related with subject lecture, discussion
5 Secant and Newton_raphson methods, their algorithms and program codes Make preparation related with subject lecture, discussion
6 Using the root finding programs in the solution of various problesm, generalization of N-R method Make preparation related with subject lecture, discussion
7 Differantial equations and their classification, example solutions Make preparation related with subject lecture, discussion
8 mid-term examination mid-term examination mid-term examination
9 numerical differantiation Make preparation related with subject
10 numerical solution of initial value ordinary differential equations, Euler´s method Make preparation related with subject lecture, discussion
11 Euler-Richardson method, program coding and running the program Make preparation related with subject lecture, discussion
12 two-step Runge-Kutta method, solution of some physical problems Make preparation related with subject lecture, discussion
13 four step R-K method, numerical solution of problems continued, comparison of methods. Make preparation related with subject lecture, discussion
14 Adaptive step methods, R-K-Verner mthod, solution of problems again using the new method, begining of a project Make preparation related with subject lecture, discussion
15 Multi step methods, continuation of the project Make preparation related with subject lecture, discussion
16/17 final examination final examination final examination


  Required Course Resources
Resource Type Resource Name
Recommended Course Material(s)  Lecture notes (to be distributed in class), Any text book on fortran 77
Required Course Material(s)


  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 60
    Homeworks/Projects/Others 10 40
Total 100
Rate of Semester/Year Assessments to Success 40
 
Final Assessments 100
Rate of Final Assessments to Success 60
Total 100

  Contribution of the Course to Key Learning Outcomes
# Key Learning Outcome Contribution*
1 Have knowledge of a foreign language at least monitoring developments in the field of physics. 0
2 Know the importance of individual development. 2
3 Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. 0
4 Design experiments in the field of physics. 2
5 Explain the basic concepts and principles in the field of physics. 3
6 Evaluate the developmets in the field of Physics by using scientific methods and techniques. 1
7 Combine the knowledge in the field of physics with the other scientific area. 3
8 Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. 4
9 Explain the methods of producing scientific knowledge in the field of physics. 3
10 Reach the Information in the field of physics, for the purpose of classification, and uses. 1
11 Use the advanced theoretical and practical knowledge acquired in the field of physics. 2
12 Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. 0
13 Use the information technologies in Physics area for their purpose. 5
14 Take responsibility as a team or alone to overcome the problems encountered in the field of physics . 3
15 Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. 0
16 Classify, use and critically evaluate the knowledg taken by his/her efforts. 1
17 Know that learning process is life-long and acts accordingly. 2
18 Both with colleagues, as well as off the field of builds relationships ethically use information, communication technologies. Define necessities in learning in scientific, social, cultural and artistic areas and improve himself/herself accordingly. 1
* Contribution levels are between 0 (not) and 5 (maximum).

  Student Workload - ECTS
Works Number Time (Hour) Total Workload (Hour)
Course Related Works
    Class Time (Exam weeks are excluded) 14 3 42
    Out of Class Study (Preliminary Work, Practice) 14 2 28
Assesment Related Works
    Homeworks, Projects, Others 10 1 10
    Mid-term Exams (Written, Oral, etc.) 1 2 2
    Final Exam 1 2 2
Total Workload: 84
Total Workload / 25 (h): 3.36
ECTS Credit: 3