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Laplace Transform

Offered By: blackpenredpen via YouTube

Tags

Mathematics Courses Complex Numbers Courses Trigonometric Functions Courses Exponential Functions Courses Laplace Transform Courses Linear Functions Courses Piecewise Functions Courses Integration by Parts Courses

Course Description

Overview

Dive into an extensive video tutorial on Laplace Transforms, focusing on Section 7.2 from Nagle's textbook. Learn to compute Laplace transforms for various functions, including constants, polynomials, exponentials, and trigonometric functions. Explore the concept of exponential orders and their significance in Laplace transforms. Master the application of Laplace transforms to piecewise functions and understand the Translation Theorem in s. Conclude with a comprehensive study guide, solidifying your understanding of this crucial mathematical tool used in engineering and physics.

Syllabus

Laplace transform of 1.
Laplace transform of t.
Laplace Transform of t^2.
Laplace transform of e^(at).
Laplace transform of sin(bt), using definition and integration by parts.
Laplace transforms of sin(bt) and cos(bt), using complex numbers.
Which functions are of exponential orders? part1.
Which functions are of exponential orders? part2.
Laplace transform of a piecewise function, sect7.2#11.
Laplace Transform: Translation Theorem in s.
Laplace Transform Ultimate Study Guide.


Taught by

blackpenredpen

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