Introducing Complex Numbers to Engineers: Relevant Examples Explained

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Introducing complex numbers to engineers can be effectively achieved by using tangible examples that relate to their field. Roots of unity and the representation of sine and cosine functions as rotating vectors on the complex plane provide accessible geometric interpretations. These concepts are particularly relevant in AC circuit analysis, where phasor diagrams illustrate the role of complex numbers in understanding impedance from inductors and capacitors. Additionally, complex numbers are essential in studying the responses of LRC circuits and transfer functions, which are commonly encountered in engineering curricula. Engaging students with practical applications can enhance their understanding and appreciation of complex numbers.
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What is the best way of introducing complex numbers to engineers who are weak at mathematics?
They normally want something tangible or relevant examples.
 
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Roots of unity provide a nice geometrical use of complex numbers that is easy to follow.
 
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.
 
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.
 
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