METE503 MATH. METHODS IN MATERIALS RESEARCH I
| Course Code: | 5700503 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Metallurgical and Materials Engineering |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. AHMET MACİT ÖZENBAŞ, Prof.Dr. MEHMET KADRİ AYDINOL |
| Offered Semester: | Fall Semesters. |
Course Objectives
The students will learn:
to expand functions in Fourier series, take Fourier transform
to derive wave and heat equation
to use separation of variables in the solution of partial differential equations
to use numerical techniques to solve ordinary and partial differential equations
Course Content
Review of ordinary differential equations, partial differential equations, solution techniques, special functions, separation of variables, transform techniques, approximate techniques.
Course Learning Outcomes
the students will be able to:
Model problems from engineering applications through differential equations
Apply Fourier analysis and derive differential equations in the solution of mathematical problems.
Devise mathematical approaches to solve complex engineering problems.
Apply appropriate computational tools in the solution of mathematical problems.
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | can reach the general and specific knowledge/information, can analyze, crystalize and implement these in conducting scientific research in the field. | ✔ | |||
| 2 | have compressive knowledge on the up-to-date engineering practices and methods and their limitations. | ✔ | |||
| 3 | are equipped with the analytical characterization knowledge required in realizing observational/experimental work-based research activities in the field. | ✔ | |||
| 4 | can clearly define and formulate problems related to the field, and develop exceptional and novel procedures to solve such problems. | ✔ | |||
| 5 | develop new and/or original ideas and methods; design complex systems or processes and invent novel/alternative solutions in his designs. | ✔ | |||
| 6 | can work effectively as a member of a team in his own field or interdisciplinary groups, he can be the leader in such formations and offer solutions in intricate cases; can also work independently and take responsibility. | ✔ | |||
| 7 | can communicate well in spoken and written English effectively. | ✔ | |||