MTH61304: Engineering Mathematics II Assignment, TU, Malaysia The Heaviside unit step function is a function that can “switch on” and “switch off” at a given term at a specific value of time

Question 1
The Heaviside unit step function is a function that can “switch on” and “switch off” at a given term at a specific value of time. One of the examples is to use the Heaviside unit step function to switch on or off the voltage in an electrical circuit at a pre-described time. The applications for the Heaviside unit step function include machine deep learning and control theory.

Demonstrate ONE (1) application of the Heaviside unit step function in the following industry such as Mechanical/Chemical/Electrical & Electronics/Robotic of your choice. You can include the introduction/background/history of the unit step function, followed by the problem statement, then clearly show the formulation steps to yield the solution and draw a conclusion. Figure(s) or diagram(s) that can aid the explanation may be included.

Question 2
Fourier series can represent a periodic function in an infinite expansion of sine and cosine terms, or, alternatively in complex exponential form, which can better analyze the signal in another domain compared to the original form. One of the examples is to use the Fourier series to convert the arbitrary real-valued of vibration functions into the sum of simple trigonometric functions for further analysis.

Demonstrate ONE (1) application of the Fourier series in any Engineering industry. You can include the introduction/background/history of the Fourier series, followed by the problem statement, then clearly show the formulation steps to yield the solution and provide a conclusion for your solution. Figure(s) or diagram(s) that can aid the explanation may be included.

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