Introducing Complex Numbers to Engineers: Relevant Examples Explained

[matqkks]

What is the best way of introducing complex numbers to engineers who are weak at mathematics?
They normally want something tangible or relevant examples.

 

[VeeEight]

Roots of unity provide a nice geometrical use of complex numbers that is easy to follow.

 

[physics girl phd]

Not a great way perhaps to introduce them, but one use I can think of off the bat is plotting sin and cos functions as rotating vectors on the imaginary and real axes. This is important in AC circuits (via phasor diagrams). It's revelvant in the introductory calc-based physics sequence for most engineering programs.

 

[╔(σ_σ)╝]

You can show them the use of complex number in electric circuits. When we talk about impedence due to inductors and capacitors complex numbers are indispensible. They are also used in studying responces of LRC circuits.
You may have to look up more things to appeal to non- EE majors as myself.

An example is in the study of transfer functions; which I believe every engineering student encounters.

 

[Matrix0]

I understand the importance of making complex concepts accessible and relevant to those who may not have a strong background in mathematics. When introducing complex numbers to engineers, it is crucial to provide tangible and relatable examples that demonstrate the practical applications of these numbers.

One effective approach could be to start with the concept of impedance, which is commonly used in engineering and involves complex numbers. By explaining how impedance is calculated using complex numbers and how it relates to real-world situations such as electrical circuits, engineers can see the direct relevance and importance of understanding complex numbers.

Another approach could be to use examples from signal processing, which is also a commonly used application in engineering. By showing how complex numbers are used to analyze and manipulate signals, engineers can see how these numbers play a crucial role in their field.

Additionally, using visual aids and interactive demonstrations can also be helpful in conveying the concept of complex numbers to engineers. This can include plotting complex numbers on the complex plane or using animations to show how calculations involving complex numbers work.

Overall, the key to introducing complex numbers to engineers who may struggle with mathematics is to make the concept relatable and applicable to their field. By providing relevant examples and using visual aids, engineers can better understand the importance and practicality of complex numbers in their work.