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Laplace Transforms Bootcamp
Rating: 4.6 out of 5(18 ratings)
250 students

Laplace Transforms Bootcamp

Crash course in Laplace Transforms
Created byRoss McGowan
Last updated 3/2020
English

What you'll learn

  • Laplace Transforms
  • Inverse Laplace Transforms
  • Solve first second and third order differential equations using Laplace Transforms
  • Laplace Transforms in Matlab
  • Lots of works examples
  • Bonus section continually updated with new material

Explore related topics

Course content

3 sections • 40 lectures • 3h 47m total length

  • Course Book and Slides3:12

    This is a video of the course book. There is a colour and a black and white version in the resources section of this video along with tables of Laplace and Inverse Laplace Transforms.

  • Introduction2:34

    How to use the course material for best results.

  • Laplace Transforms on your computer2:48

    This lecture covers Laplace Transforms using Matlab and online Symbolab.

  • Solutions3:27

    Five examples of finding Laplace Transforms on your computer.

  • Laplace Transform of a constant (a) and the function (e^at)8:19

    We look at our first 2 transform pairs. The Laplace Transform of a constant (a) and the Laplace Transform of (e^at).

  • Solutions1:50

    Our first worked examples.

  • Linearity2:59

    In this video we expand on our Laplace Transforms by looking at linearity.

  • Solutions3:13

    Another 10 worked examples covering linearity

  • Laplace Transform of cos(at) and sin(at)4:35

    We now look at another 2 transform pairs. Laplace transforms of cos(at) and sin(at).

  • Solutions2:03

    Another 10 worked examples covering cos(at) and sin(at).

  • Laplace Transform of (t) and(t^n)12:18

    We look at another 2 Laplace Transform pairs. Laplace Transforms of (t) and (t^n)

  • Solution2:40

    Another 10 examples covering (t^n)

  • Laplace Transform of sinh(at) and cosh(at)4:34

    Laplace Transforms of sinh(at) and cosh(at).

  • Solutions2:29

    Another 10 worked examples covering sinh(at) and cosh(at)

  • The First Shift Theorem2:31

    In this video we derive the first shift theorem.

  • Solutions4:23

    Another 10 worked examples covering the first shift theorem.

  • Laplace Transform Multiplication by (t)4:10

    In this video we derive the Laplace Transform of a function which has been multiplied by (t)

  • Solutions3:46

    Laplace Transform of a function multiplied by (t)

  • Laplace Transform Multiplication by (t^n)4:04

    In this video we extend the idea of the last video to multiplication by (t^n)

  • Solutions5:38

    Laplace Transform of function multiplied by (t^n)

  • Laplace Transform division by (t)4:32

    In this video we look at the Laplace Transform of a function divided by (t)

  • Solutions8:29

    Laplace Transform of a function divided by (t)

  • Section 1 Test with Solutions12:35

    Section 1 test with solutions video

Requirements

  • Basic calculus and algebra

Description

If you are studying Laplace Transforms or need a crash course in Laplace Transforms or are just curious then this is the course for you. No need for memorising equations. Let me take you step by step guided by a unique learning method that really helps you to understand and master this subject.

Learn as you go with the examples becoming progressively more challenging. There is no better way to learn Laplace Transforms than by doing a structured course.

Covering the Laplace Transform, Inverse Transform and solutions to differential equations. Also bonus material being continuously added.

I have been taught Laplace Transforms for Engineering and Science several times throughout my life but I was never happy with the teaching style. I decided that the best thing to do was create a course which would teach students in the style that I think is best for learning and knowledge retention. The repetitive learning technique which I employ here is very effective in providing a great foundation for this subject.

Also included is course pdf in colour and black and white for printing.

I guarantee you that this is the best way to learn this subject and does not involve any memorisation , just follow each lecture one after the other and try all the examples and you will be well on the way to becoming a Laplace Transforms master !

Who this course is for:

  • If you want to study for exams or need a crash course in Laplace Transforms or are just curious then this is the course for you.

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