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Applied Partial Differential Equations

647

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

Text: 

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

Prerequisite: 

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

Credit Hours: 
3

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 )

Frequency: 
Every Fall Semester
Every Spring Semester

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