School of Engineering \ Mechanical Engineering
Course Credit
ECTS Credit
Course Type
Instructional Language
Programs that can take the course
Introduction Partial Differential Equations. Separability Solutions. Eigenfunction Expansions: Fourier Transform. Laplace Transform. Hankel Transform.
Textbook and / or References
Asmar, N.H., Partial Differential Equations with Fourier Series and Boundary Value Problems, Pearson, 2ed., 2005.
Investigation of solution methods, initial and boundary conditions for problems encountered in engineering. Approaching the fundamental problems of mathematical physics from different perspectives such as similarity, transformation, series methods and complex analysis.
1. Development of analytical solution skills of engineering problems.
2. Numerical solutions for the creation of the necessary foundations.
Week 1: Fourier Series
Week 2: Fourier Series
Week 3: Introduction to Partial Differential Equations
Week 4: Partial Differential Equations: Cartesian Coordinates
Week 5: Partial Differential Equations: Cartesian Coordinates
Week 6: Partial Differential Equations: Polar and Cylindrical Coordinates
Week 7: Partial Differential Equations: Polar and Cylindrical Coordinates
Week 8: Partial Differential Equations: Global Coordinates
Week 9: Fourier Transform and Applications
Week 10: Fourier Transform and Applications
Week 11: Laplace Transform and Applications
Week 12: Hankel Transformation and Applications
Tentative Assesment Methods
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