ES501 ANALYTICAL METHODS IN ENGINEERING I

Course Code:5610501
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:Fall and Spring Semesters.

Course Objectives

The course is designed to equip graduate engineering students with analytical skills and tools needed to model and solve advanced engineering problems. The use of computer algebra systems (CAS) like Maple and Mathematica, and interactive numerical computing software like Matlab is recommended.


Course Content

Ordinary differential equations. Series solutions of ordinary differential equations. Fourier series and Fourier integral. Partial differential equations. Separation of variables. Gamma, Bessel, Laguerre functions, Legendre, Chebyshev polynomials.


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 to learn Computer Algebra Systems, Mathematical Preliminaries, Some Special First Order ODEs, Second and Higher Order Linear ODEs,  Power Series, Matrices and Systems of ODE, Laplace Transforms, Complex Variables.   

Develop the students knowledge and expertise to use computer algebra systems (CAS) like Maple and Mathematica, and interactive computing software like Matlab.  

 


Program Outcomes Matrix

Contribution
#Program OutcomesNoYes
1Skills to analyse and to use different experiment set ups
2Skills to apply mathematical models to experimental and observatory results
3Ability to write and present research outcomes
4Awareness of academic and research ethics
5Ability to work in multidisciplinary groups
6Skills to follow new developments in basic science and engineering areas