Professor Reza Jazar received his PhD in Nonlinear Vibrations and Applied Mathematics from Sharif University of Technology in 1997. Professor Jazar has extensive experience in the automotive industry with major world car manufacturers, along with more than 20 years of experience in academia. He is an active scientist, specializing in vehicle dynamics and stability, robotics, nonlinear vibrations, and nonlinear dynamic systems. He has invented several techniques, methods, theorems, and algorithms that are currently considered as established academic or industry techniques, among them: Razi Acceleration, Energy-Rate Method, RMS Optimization Method, and Floating-Time Method. Professor Jazar has authored and co-authored more than 200 publications, including ten research books and textbooks. His textbook Vehicle Dynamics and Robotics has been adopted as a textbook by universities worldwide. Professor Jazar is also the founder and Editor in Chief of international Journal of Nonlinear Engineering.

• Limits of mathematics.- Classification of nonlinearities.- Meaning of approximation solution.- Comparison among the Asymptotic, numerical, and exact solutions.- Methods of function approximation.- Approximate solution in time domain.- Limits of time series solution.- Steady state solution Lindstad-Poincare methods.- Averaging methods.- Multiple time scale methods.- Application of Lindstad-Poincare methods.- Application of Averaging methods.- Application of Multiple time scale methods.- Duffing equation.- Van der Pol equation.- Mathieu equation.