| Course Name | Code | Semester | T+U Hours | Credit | ECTS |
|---|---|---|---|---|---|
| Computational Physics | FIZ 506 | 0 | 3 + 0 | 3 | 6 |
| Precondition Courses | |
| Recommended Optional Courses | |
| Course Language | Turkish |
| Course Level | yuksek_lisans |
| Course Type | Optional |
| Course Coordinator | Prof.Dr. MEHMET BEKTAŞOĞLU |
| Course Lecturers | Doç.Dr. HÜSEYİN YASİN UZUNOK, |
| Course Assistants | Teaching Assistants in The Department |
| Course Category | |
| Course Objective | To show students how to solve a problem whether it has an analytical solution or not, via numerical methods, and how to apply them at the C++ platform. |
| Course Content | Numerical error types, numerical methods for derivation, defined integration, and ordinary differential equations. |
| # | Course Learning Outcomes | Teaching Methods | Assessment Methods |
|---|---|---|---|
| 1 | Comments on the chances of having a round-off error in a given mathematical representation. | Lecture, Drilland Practice, Motivations to Show, Self Study, | Testing, Homework, |
| 2 | Find solutions for a round-off error in a given mathematical representation. | Question-Answer, Discussion, Drilland Practice, Self Study, | Testing, Homework, |
| 3 | Find solutions for a truncation errors in a given mathematical representation. | Question-Answer, Discussion, Brain Storming, Self Study, | Testing, Homework, |
| 4 | Calculates the first-order derivative at a given point via one of the numerical methods and compare the result with the exact value. | Lecture, Drilland Practice, Motivations to Show, Self Study, | Testing, Homework, |
| 5 | Calculates the second-order derivative at a given point via one of the numerical methods and compare the result with the exact value. | Lecture, Motivations to Show, Self Study, | Testing, Homework, |
| 6 | Draws position vs. time plot of a moving object for a given force term. | Lecture, Question-Answer, Discussion, Motivations to Show, Self Study, | Testing, Homework, |
| 7 | Draws velocity vs. time plot of a moving object for a given force term. | Lecture, Drilland Practice, Motivations to Show, Self Study, | Testing, Homework, |
| 8 | Calculates the result of a given integral by using one of the numerical methods. | Lecture, Drilland Practice, Motivations to Show, Self Study, | Testing, Homework, |
| 9 | Solves a given ordinary differential equation of which the initial value of the dependent variable is known by using numerical methods and compares the result with the analytical one if exists. | Lecture, Drilland Practice, Motivations to Show, Self Study, | Testing, Homework, |
| Week | Course Topics | Preliminary Preparation |
|---|---|---|
| 1 | C++ review | [1] Pages 1-30 |
| 2 | C++ review | [1] Pages 30-60 |
| 3 | C++ review | [1] Pages 60-90 |
| 4 | Number representations in Computers | [2] Pages 11-14 |
| 5 | Roun-off errors and practicing ways toward the elimination of them by examples | [2] Pages 14-16 |
| 6 | Truncation errors and practicing ways toward the elimination of them by examples. | [2] Pages 16-20 |
| 7 | Numerical methods of derivation and a practice example which gives the chances of comparison among them, and the effect of step size onto it. | [2] Pages 21-25 |
| 8 | Example-Variable force in one dimension. | [2] Pages 25-27 |
| 9 | Methods of numeric integration and a practice example which gives the chances of comparison among them. | [2] Pages 27-31 |
| 10 | Midterm exam. | |
| 11 | Gauss Method and Gauss Integral. | [2] Pages 32-36 |
| 12 | Singular Integrals, Example: Exact solution of the simple pendulum. | [2] Pages 36-40 |
| 13 | Ordinary Differential Equations: Initial Value Problems, Euler method. | [2] Pages 63-66 |
| 14 | Runge-Kutta method. | [2] Pages 66-68 |
| Resources | |
|---|---|
| Course Notes | [1] Liberty, J., C++ in 24 Hours, Second Edition, SAMS, 1999.<br>[2] Karaoğlu B., Sayısal Fizik (Computational Physics) , Seyir, 2004. |
| Course Resources | [3] Stroustrup, B., The C++ Programming Language, Addison-Wesley, 1997. |
| Order | Program Outcomes | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Using the knowledge of undergraduate and graduate education in postgraduate level. | X | |||||
| 2 | To be able to improve themselves by following the innovations in the field of Physics which are important in the development of science and technology. | X | |||||
| 3 | To be able to make literature search, presentation, experimental setup preparation, application and explication of results. | X | |||||
| 4 | To be able to join interdisciplinary and multidisciplinary team works. | ||||||
| 5 | Sharing their concepts in seminar, symposium, conference etc. by using the skills of self-study. | ||||||
| 6 | Having the scientific and vocational wafer and defending this apprehension in every medium. | ||||||
| Evaluation System | |
|---|---|
| Semester Studies | Contribution Rate |
| 1. Ara Sınav | 50 |
| 1. Kısa Sınav | 10 |
| 2. Kısa Sınav | 10 |
| 1. Ödev | 30 |
| Total | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Total | 100 |
| ECTS - Workload Activity | Quantity | Time (Hours) | Total Workload (Hours) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
| Mid-terms | 1 | 10 | 10 |
| Quiz | 2 | 5 | 10 |
| Assignment | 1 | 10 | 10 |
| Final examination | 1 | 20 | 20 |
| Total Workload | 146 | ||
| Total Workload / 25 (Hours) | 5.84 | ||
| dersAKTSKredisi | 6 | ||