ME 521 Analytical Methods in Engineering I SPRING 2014

ME 521 Analytical Methods in Engineering I SPRING 2014

ME 521
Analytical Methods in Engineering I
SPRING 2014
http://www.me.metu.edu.tr/courses/me521
Instructor: Dr. Tuba Okutucu
Office: A-143
E-mail: [email protected]
Teaching Assistant: İlhan Öztürk
Office: G115
E-mail: [email protected]
Schedule:
Thursday 09:40-12:30 in G-103
Textbook:
Greenberg, Michael D., 1998, Advanced Engineering Mathematics,
Second Edition, Prentice-Hall.
References:
Boyce, W.E. and Diprima, R.C., 2005, Elementary Differential
Equations and Boundary Value Problems, John Wiley and Sons, Inc.
Farlow, S.J., 1993, Partial Differential Equations for Scientists and
Engineers, Dover Publications.
Haberman, R., 2004, Applied Partial Differential Equations with
Fourier Series and Boundary Value Problems, Pearson Prentice Hall.
Hildebrand, F.B., 1976, Advanced Calculus for Applications, PrenticeHall, Inc.
Kreyszig, Erwin, 1993, Advanced Engineering Mathematics, Seventh
Edition, Wiley.
O'Neil, P.V., 2003, Advanced Engineering Mathematics, Thomson
Brooks/Cole.
Pala, Yaşar, 2013, Modern Uygulamalı Diferansiyel Denklemler,
Nobel Yayın.
Sneddon, I.N., 1995, Fourier Transforms, Dover Publications.
Grading (tentative):
2 Midterm Examinations: 25% each
Final Examination: 35%
Homework/project: 15%
Outline:
Ordinary Differential Equations
 Review of Ordinary Differential Equations
 Power Series Solutions
- Method of Frobenius
- Legendre Functions
- Singular Integrals
- Bessel Functions
 Laplace Transform
Fourier Methods
 Fourier Series
 Fourier Integral
 Fourier Transform
Partial Differential Equations
 Diffusion Equation
 Wave Equation
 Laplace Equation