Tuesday, July 26, 2022

Study Aid Review: The Laplace Transform Tutor

 


Laplace Transforms are mainly used as a technique for solving some types of differential equations. If you are a math major and have to take differential equations as a semester-long class you will definitely see it there, and if you are an engineering major that has to take the intro to differential equations class (either as a separate class from intro to linear algebra or in a class that combines the two) you will usually have a couple of lectures on Laplace transforms. If you get good instruction on how to do problems involving Laplace Transforms they are not all that hard. If however, your instructor just glosses over them, they can be very tricky.

In this set, Jason introduces the concept of Laplace Transforms, how to derive the basic transforms, then provides a table of transforms (which is generally what you will be allowed to use in class if you need the more advanced transforms). Then he solves a bunch of problems using the Laplace Transforms, including solving several differential equations. As he does in his other math and science sets, Jason goes through everything step-by-step. He does assume that you have the math skills needed to be at this point (so having taken algebra, pre-calc, and calculus I and II). He does not do a recap of the math, but since he rarely skips steps in solving problems (and never does in the first couple of examples he shows on a topic) you do get a bit of a refresher anyway.

Laplace Transforms is a topic that will come up at least a few times depending on what branch of science or engineering you go into. I was an electrical engineering major and I definitely had to use it extensively in one of my higher-level classes and a bit lighter in a couple of other classes. Unfortunately, I did not have a good grasp on the topic after my Calc 4 class (which is where I was introduced to the topic), so I got this to really figure it out. So, if you are a visual learner who learns best by watching sample problems being worked out, this is a great study aid.

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