What should you know in calculus before studying laplace transforms?

Question

I mainly know derivatives and integration, but laplace transforms are extremely difficult for me, almost like i missed a significant point in calculus that would've helped me out better

Answer 1

laplace is quite easy once you master the integration by parts rule and partial fractions will be required to find inverse laplace transform. the exponential way of representing sin and cosine will also help. in most exams the laplace transforms of common functions will be given. there actually isn't that much calculus except by parts/substitution, I actually found it way easier than fourier analysis. Best advice is to find a really good book with lot of examples, A good book can make all the difference. good luck

Answer 2

you must study math in complex variables and convollutions, may be something of Fourier transforms (its something similar to Laplace but easierr) and obvoiusly, a lot of differencial ecuations solving



You must know a lot about complex numbers, i mean basic operations, integrals, and things like that

Answer 3

You really need to know your integration forms as well as several inverse laplace transforms.

Answer 4

Too much. Take as much Math as you can and practice more. All the stuff you are talking about will be covered when you take Physics in college and finish graduate school: about 8-10 years worth.

Answer 5

One of the key insights you need is the relationship between exponentials, trig functions and imaginary numbers:



e^(ix) = cos x + i sin x



That, and work the trigonometric identities until you can see how they fall out of your integrals.

Answer 6

logic.. and analysis..