This course covers the learning outcomes and goals of understanding Laplace Transform equations, regions of convergence, and its applications in various fields. Students will learn how to calculate Laplace Transforms of different functions, analyze poles and zeros, and solve problems related to real stable LTI systems. The course teaches individual skills such as Laplace Transform of exponential functions, understanding the relationship between Laplace Transform and other transforms, and applying Laplace Transform in electric circuit examples. The teaching method includes explanations, examples, and problem-solving sessions. This course is intended for individuals interested in advanced mathematics, engineering, physics, or related fields.
Overview
Syllabus
Laplace Transform Equation Explained.
Laplace Transform Explained with an Example.
Laplace Transform Region of Convergence Explained ("THE best explanation I've seen").
Laplace Transform of Exponential Function.
Laplace Transform of Two Exponentials.
Laplace Transform of Exponential of Mod Time.
Laplace Transform Electric Circuit Example.
When do you need the Laplace Transform?.
How do Poles and Zeros affect the Laplace Transform and the Fourier Transform?.
How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?.
Why are Poles Negative in Laplace Transform of Real Stable LTI Systems?.
Laplace Transform Solution to a Feedback System.
Taught by
Iain Explains Signals, Systems, and Digital Comms
