Partial Differential Equations In Physics
Physics
Faculty of Arts and Scıences
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 |
|---|---|---|---|---|---|---|
| Partial Differential Equations In Physics | FIZ302 | Elective | Bachelor's degree | 3 | Spring | 4 |
Name of Lecturer(s)
Associate Prof. Dr. Oktay CEBECİOĞLU
Learning Outcomes of the Course Unit
1) Classify the given second order PDE by using the discriminant.
2) Solve boundary value problems for the diffusion equation with Dirichlet, Neumann.
3) Apply Fourier method to one-dimensional homogeneous and inhomogeneous wave equation with different boundary conditions.
4) Apply Separation of Variables to solve the heat and wave equations.
5) Find the Green's functions for some special type of partial differential equations.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | ||
| Learning Outcomes | ||||||||||||||
| 1 | Low | Middle | Middle | High | Middle | Middle | Low | Low | Low | Low | Middle | Low | High | |
| 2 | Middle | Middle | High | Middle | Low | Middle | Middle | Middle | Low | Low | High | Middle | Middle | |
| 3 | Middle | High | Middle | Low | Middle | Middle | Middle | High | High | Middle | Middle | High | High | |
| 4 | Middle | High | Middle | Low | Low | High | Middle | Middle | High | High | High | Middle | Middle | |
| 5 | High | Middle | Middle | Middle | Middle | Middle | High | Middle | High | Middle | Middle | Middle | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
yok
Course Contents
General differential equations. Partial differential equations. Classification of second order partial differential equations and their canonical forms. Laplace equation.Heat flow equation. Wave equation. Cauchy problem. Solution of boundary value problems and Fourier series.
Weekly Schedule
1) General differential equations2) Partial differential equations
3) First order linear partial differential equations,First order nonlinear partial differential equations
4) Classification of second order partial differential equations
5) Reducing partial differential equation to canonical form and methods of separation of variables
6) Laplace equation
7) Laplace equations in spherical coordinates and its applications in physics
8) Midterm examination/Assessment
9) Laplace equations in cylindrical coordinates and its applications in physics
10) Temperature distribution in a circular plate(solution of Laplace equation in a plane polar coordinates)
11) Ideal fluid flow around a sphere,heat diffusion equation,insulated bar:Neumann problem
12) Heat diffusion in a circular plate
13) Cauchy problem
14) Finite Fourier transformation method
15) Problem solution
16) Final examination
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Problem Solving
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
35% |
|---|---|
Contribution of Final Examination to Course Grade |
65% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required