ES502 ANALYTICAL METHODS INENGINEERING II
| Course Code: | 5610502 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Engineering Sciences |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Assoc.Prof.Dr. MUSTAFA TOLGA YILMAZ |
| Offered Semester: | Spring Semesters. |
Course Objectives
This course aims to enhance analytical thinking and conceptualization skills of the graduate engineering students. Advanced level tools needed for modeling and solving complicated engineering problems will be provided through the course. It is recommended to utilize computer algebra systems (CAS) such as Maple and Mathematica, and interactive numerical computing softwares like Matlab.
Course Content
Formulation of basic engineering problems. Sturm-Liouville theory. Fourier series. Complex calculus; Cauchy-Riemann equations, power series, Cauchy's integral formula, residue theorem, improper integrals. Laplace, Fourier, Hankel, Mellin transforms. Green's function method. Integral equations.
Course Learning Outcomes
The course is designed to
equip graduate engineering students with analytical skills and tools needed to model and solve advanced engineering problems.
enable students learn differentiation and integration, differential equations, formulation of basic engineering problems, Fourier series and Fourier integrals.
develop students knowledge on theory of partial differential equations, separation of variables, Laplace and Fourier transforms, Hyprerbolic, parabolic and elliptic equations.
improve students experti,se an abilities on use of computer algebra systems (CAS) like Maple and Mathematica, and interactive computing software like Matlab.
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | Skills to analyse and to use different experiment set ups | ✔ | |||
| 2 | Skills to apply mathematical models to experimental and observatory results | ✔ | |||
| 3 | Ability to write and present research outcomes | ✔ | |||
| 4 | Awareness of academic and research ethics | ✔ | |||
| 5 | Ability to work in multidisciplinary groups | ✔ | |||
| 6 | Skills to follow new developments in basic science and engineering areas | ✔ | |||