Explores differential equations for motion, including critical damping and damped oscillators, with applications in complex numbers and examples of mass-spring systems.
Explores the Fourier transform application to LTI systems, including frequency response, convolution, differentiation, and solving differential equations.
Introduces the inverse Laplace transform and the Cauchy problem for ordinary differential equations, emphasizing the importance of verifying the obtained results.
Explores differentiability, continuity, solutions, and uniqueness in differential equations, emphasizing well-posed problems and real-world applications.