Advanced Engineering Mathematics

Topics

Review Ordinary differential equations

Fourier Series, Integral and Transforms

Formulation of physical problems

D’Alambert Solution of wave Equation

Characteristics of Partial Differential Equation

Solution of Partial Differential Equation

Separation of Variables

Non-homogeneous Equations

Solution by Fourier Transform

Complex Variables & Functions

Variational Calculus

Assessment

Exercises and Quizzes: 10%

Mid-term Exam: 40%

Final Exam: 50%

Main References

Advanced Engineering Mathematics, E. Kreyszing, 1999.

Mathematical Analysis in Engineering, C.C. Mei, 1997.

Further References

Advanced Engineering Mathematics, C.R. Wylie & L.C. Barrett , 1995.

Mathematics Applied in Deterministic Problem of Natural Science, C.C. Lin & L.A.Segal, 1988.

Instructor:

Behzad Ataie-Ashtiani (Room 525)

Office hours: Mondays 10:30-12:0

Attendance Policy

Attendance is highly recommended.

A sign-in sheet may be distributed at some classes.

Attendance will be used as determining factor when your grade is on the borderline.

Results

Mid-term

Links and Readings

Kabiri-Samani, A.R., Ataie-Ashtiani, B., Free Water Surface Oscillations in a Closed Rectangular Basin with Internal Barriers, Scientia Iranica. Vol. 15, No.3 , pp 315-323, 2008. [PDF]

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September 2008