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Applied Partial Differential Equations


Boundary value problems; topics on partial differentiation; theory of characteristic curves; partial differential equations of mathematical physics.


Partial Differential Equations with Fourier series and Boundary Value Problems, Asmar, 3rd edition, Dover.


MATH 127 or MATH 147 or MATH 223 or MATH 243, and MATH 220 or MATH 221 or MATH 320.

Credit Hours: 

Chapter 1: A Preview of Applications and Techniques

Chapter 2: Fourier series

Chapter 3: Partial Differential Equations in Rectangular Coordinates

Chapter 4: Partial Differential Equations in Polar and Cyclindrical Coordinates

Chapter 5: Partial Differential Equations in Spherical Coordinates

Chapter 6: Sturm-Liouville Theory with Engineering Applications

Chapter 7: The Fourier Transform and its Applications

Chapter 8: The Laplace and Hankel Transforms with Applications

Chapter 9: Finite Difference Numerical Methods

Chapter 10: Sampling and Discrete Fourier Analysis with Applications to Partial Differential Equations

Chapter 11: An Introduction to Quantum Mechanics Chapter 12: Green's Functions and Conformal Mappings

(Stanislavova 2017 )

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