Definition and basic properties of Laplace Transform

Description
Definition and basic properties of Laplace Transform are discussed in this video lecture. The Laplace transform takes a function f(t) (of "time") and uses it to manufacture another function F(s) (where s can be complex). The conditions under which the integral of a more general function converges, are explained as well as the region of convergence are stated. Other topics of discussion in this video lecture are , powers, linearity, s-shift rule, sines and cosines and the t-domain and s-domain etc.
Prof. Arthur Mattuck, Maths, 18.03.Differential Equations, Spring 2010: 18: Introduction to the Laplace Transform: Massachusetts Institute of Technology: MIT Open Course Ware),http://ocw.mit.edu (Accessed November 9, 2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc