Noise Vibration and Harshness Math Prep

Short Course Description

This online short course is designed to prepare students for the graduate courses in the Automotive Noise, Vibration and Harshness certificate program.

The 15-hour short course covers mathematical terms used for vibration and acoustic analysis (complex notation, vectors; rms, dB, frequency scales), Matlab tutorial and computer simulation exercises, along with experimental demonstrations and suggestions for self-study based on individual needs.

A bachelor’s degree in mechanical or electrical engineering is required. This prerequisite requirement can be waived or substituted with written permission of Professor Singh for students who can demonstrate sufficient background in mathematics and Matlab.


Upon completion of this course, participants will have math competency in:

  • Complex algebra           
  • Linear algebra           
  • Matrix operations           
  • Fourier series and fourier transforms 
  • Differential equations
  • Laplace transform solution method 


Raj Singh
Raj Singh, academy (emeritus) professor of mechanical engineering at The Ohio State University, held the Donald Glower chair for 13 years. He is a senior fellow at Ohio State’s Center for Automotive Research. Singh served as director, NSF I/UCRC Smart Vehicle Concepts Center for 11 years and now directs the Acoustics and Dynamics Laboratory. His research interests are: acoustics, machine dynamics, vibrations, non-linear dynamics and signal processing. Over the past two decades he has directed over $18 million of sponsored research and grant programs. Singh has published over 500 papers and advised 46 PhD and 77 MS students.


"For the NVH course, the Math Prep Seminar was extremely helpful when preparing for the NVH course. It helped clarifying many important concepts that had gotten rusty with time."