MATH583 PARTIAL DIFFERENTIAL EQUATIONS
| Course Code: | 2360583 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Assoc.Prof.Dr. KOSTYANTYN ZHELTUKHIN |
| Offered Semester: | Fall Semesters. |
Course Objectives
Introduce the theory of first order equations. Consider existence and uniqueness of classical solutions of second order linear differential equations. Introduce different methods to find classical solutions of second order linear differential equations.
Course Content
Cauchy-Kowalevski Theorem. Linear and quasilinear first order equations. Existence and uniqueness theorems for second order elliptic, parabolic and hyperbolic equations. Correctly posed problems, Green's functions.
Course Learning Outcomes
Solve the Cauchy problem for first order non-linear partial differential equations.
Apply maximum principle to determine uniqueness of solution for boundary value problems for Elliptic
Apply maximum principle to determine uniqueness of solution for initial-boundary value problems for Parabolic equations
Apply energy integral to determine uniqueness of solution for for initial value problemsHyperbolic equations
Usde different methods to find solutions, propertie oıf soluton,forf second orde linear partial differential equations.
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Acquires mathematical thinking skills (problem solving, generating ways of thinking, forming correspondence, generalizing etc.) and can use them in related fields. | ✔ | |||
| 2 | Gains academic maturity through self-study. | ✔ | |||
| 3 | Can design mathematics related problems, devise solution methods and apply them when appropriate. | ✔ | |||
| 4 | Carries out parts of a mathematical research program independently. | ✔ | |||
| 5 | Has a command of Turkish and English languages so that he/she can actively communicate (read, write, listen and speak). | ✔ | |||
| 6 | Contributes to solving global, environmental and social problems either individually or as being part of a social group. | ✔ | |||
| 7 | Respects ethical values and rules; applies them in professional and social issues. | ✔ | |||
| 8 | Can work cooperatively in a team and also individually. | ✔ | |||
| 9 | Gets exposed to academic culture through interaction with others. | ✔ | |||
| 10 | Comprehends necessity of knowledge, can define it and acquires it; uses knowledge effectively and shares it with others. | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution