My engineering faculty is having us rote-memorize Laplace transforms

In summary, the conversation discusses the use of Laplace Transforms in electrical and control systems engineering and the speaker's desire to learn the theory behind it in a semi-rigorous way. They ask for recommendations for resources to further their understanding of the topic.
  • #1
tamtam402
201
0
Hi,

Laplace transforms are a fundamental tool in electrical engineering and control systems engineering. Unfortunately my University is having us read books that use Laplace Transforms, but I've never learned the theory rigorously! For example the book I'm currently reading state briefly that "A multiplication in the complex domain is a convolution in the time domain, thus Y(s) = G(s)X(s) = ... etc.".

I'm a curious person and I would much rather learn the theory of Laplace Transforms in a semi-rigorous way.

Does anyone have a great website or book to recommend? I know I cannot get into the intricate details like a pure mathematician would, but it would be nice to learn more about this since I feel like I have been given a power tool without the proper training to use it.

Thanks in advance!
 
Mathematics news on Phys.org
  • #2
a quick google search yielded many references, including a few articles and even videos from MIT Open Courseware here.
 

1. Why do we need to rote-memorize Laplace transforms?

Rote-memorizing Laplace transforms can help us quickly and easily solve complex mathematical problems involving differential equations. It also helps us understand the underlying principles of the Laplace transform and its applications in engineering.

2. Is rote-memorization the only way to learn Laplace transforms?

No, there are other methods to learn Laplace transforms such as understanding the concept and practicing problems. However, rote-memorization can be a useful tool in addition to these methods.

3. How can rote-memorization help in real-world engineering problems?

Rote-memorizing Laplace transforms allows us to quickly and accurately apply them to solve real-world engineering problems. This can save time and effort in finding solutions and can also help us understand the behavior of systems in a more intuitive way.

4. Will we be expected to rote-memorize Laplace transforms in our future engineering careers?

While rote-memorization may not be necessary in every engineering career, having a solid understanding of Laplace transforms can be beneficial in many fields such as control systems, signal processing, and circuit analysis.

5. Are there any tips for effectively rote-memorizing Laplace transforms?

Some tips for effective rote-memorization include breaking the transform into smaller parts, practicing regularly, and understanding the logic behind each step. It can also be helpful to use mnemonic devices or create flashcards to aid in memorization.

Similar threads

Laplace transform vs phasor analysis in circuit analysis
    • Electrical Engineering
Replies
3
Views
1K
What is the best way to introduce Laplace transforms for Engineers?
    • STEM Educators and Teaching
Replies
10
Views
2K
MHB What is the best way to introduce Laplace transforms in an Engineering Mathematics course?
    • STEM Educators and Teaching
Replies
7
Views
2K
Engineering How would I solve this using Laplace transformation?
    • Engineering and Comp Sci Homework Help
Replies
4
Views
1K
Struggling with Laplace transforms
    • General Math
Replies
4
Views
2K
I Laplace Transform of Sign() or sgn() functions
    • Differential Equations
Replies
1
Views
2K
Laplace Transform for shifted Unit Step Function
    • General Math
Replies
1
Views
1K
Physical Significance of the Laplace Transform
    • Electrical Engineering
Replies
31
Views
9K
Laplace transform of the multiplication of two functions
    • Calculus and Beyond Homework Help
Replies
4
Views
2K
Help with the Python package Scipy and the Z-transform please
    • Programming and Computer Science
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top