Covers the Fourier transform, its properties, and applications in signal processing and differential equations, demonstrating its importance in mathematical analysis.
Explores the Fourier transform properties with derivatives and introduces the Laplace transform for signal transformation and solving differential equations.
Covers the properties of the Fourier transform, including linearity, shifts, time reversal, differentiation, integration, convolution, and conjugate symmetry.
Introduces the inverse Laplace transform and the Cauchy problem for ordinary differential equations, emphasizing the importance of verifying the obtained results.
