Week 4: Fourier transforms, sine transform and cosine transform
Erwin Kreyszig, Advanced Engineering Mathematics, 9th ed. (Chapter 11)
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Course Material
- Week 1: Basic definition and properties of Fourier series, even and odd functions, functions of period p=2L
- Week 2: Complex Fourier and exercises, Convolution Theorem
- Week 3:Fourier Integral and exercise, Gibbs Phenomenon
- Week 4: Fourier transforms, sine transform and cosine transform
- Week 5: Discrete Fourier transform and its exercise
- Week 6: Introduction to Legendre Functions and differential equations
- Week 7: Generating function its properties and related problems
- Week 8: Derivations of recurrence relation in Legendre functions
- Week 9: Orthogonality conditions in Legendre functions and solved problems
- Week 10: Associated Legendre functions and differential equations and Spherical Harmonics
- Week 11: Legendre functions of second kind, Laguerre Functions
- Week 12: Hermite functions and its properties
- Week 13: Introduction to Laplace transforms and basic properties
- Week 14: Laplace transforms of different functions
- Week 15: Transfer function, initial value problem solving method, Inverse Laplace transform
- Week 16: Laplace transform, inverse Laplace transforms and its exercise
- Chapters 16
- Department Physics
- Teacher
Mr. Muhammad Qasim
