The course covers the Laplace transform of unit step functions and the translation in t. Students will learn about the Laplace transform of shifted unit step functions, graphs of functions, inverse Laplace transform, and solving differential equations involving unit step functions. The teaching method includes theoretical explanations and practical problem-solving. This course is intended for learners interested in advanced mathematics and engineering concepts related to Laplace transforms and unit step functions.
Overview
Syllabus
Laplace transform of unit step function & rectangular window function.
Laplace transform of f(t-a)u(t-a), the shifted unit step function.
Graphs of t^2, (t-4)^2u(t-4), t^2u(t-4).
Laplace transform of t^2, (t-4)^2u(t-4), t^2u(t-4).
Inverse laplace transform, translation in s vs translation in t.
Laplace transform of unit step function, sect7 6#1.
Inverse Laplace transform with unit step function, sect7.6#13.
Inverse Laplace Transform with unit step function, sect7.6#15.
Solve differential equation with Laplace Transform involving unit step function.
Taught by
blackpenredpen
