This course teaches students how to define and derive Laplace transforms, solve differential equations using Laplace transforms, calculate Laplace transforms and their inverses, and understand the properties of the Laplace transform. The teaching method includes theoretical lessons, derivations, practice sessions, and problem-solving. The course is intended for learners interested in engineering mathematics and those looking to enhance their skills in solving differential equations using Laplace transforms.
Overview
Syllabus
Lesson 1 - Laplace Transform Definition (Engineering Math).
02 - Deriving the Essential Laplace Transforms, Part 1.
03 - Deriving the Essential Laplace Transforms, Part 2.
04 - Table of Laplace Transforms and their Inverses.
05 - Practice Calculating Laplace Transforms, Part 1.
06 - Practice Calculating Laplace Transforms, Part 2.
07 - Practice Calculating Inverse Laplace Transforms, Part 1.
08 - Practice Calculating Inverse Laplace Transforms, Part 2.
09 - Solve Differential Equations with Laplace Transforms, Part 1.
10 - Solve Differential Equations (ODEs) w/ Laplace Transforms, Part 2.
11 - Solve Differential Equations (ODEs) w/ Laplace Transforms, Part 3.
Lesson 12 - Solving Odes With Laplace Transforms, Part 4.
Lesson 13 - Solving Odes With Laplace Transforms, Part 5.
Lesson 14 - Solving Odes With Laplace Transforms, Part 6.
Lesson 15 - Solving Odes With Laplace Transforms, Part 7.
Lesson 16 - More Properties Of The Laplace Transform, Part 1.
Lesson 17 - More Properties Of The Laplace Transform, Part 2.
Lesson 18 - More Properties Of The Laplace Transform, Part 3.
Lesson 19 - Laplace Transform Of Piecewise Functions, Part 1.
Lesson 20 - Laplace Transform Of Piecewise Functions, Part 2.
Lesson 21 - Laplace Transform Of Piecewise Functions, Part 3.
Lesson 22 - Summary Of Laplace Transform Rules.
Taught by
mathandscience
