Teaching&Outreach

Undergraduate level 

ME 240: Introduction to Dynamics and Vibrations

Fall 2018, Winter 2019

Vector description of force, position, velocity and acceleration in fixed and moving reference frames. Kinetics of particles, of assemblies of particles and of rigid bodies. Energy and momentum concepts. Euler’s equations. Moment of inertia properties. The simple oscillator and its applications.


Graduate level 

ME 541: Mechanical Vibrations

Winter 2019, Fall 2019, Fall 2020

Time and frequency domain mathematical techniques for linear system vibrations. Equations of motion of discrete non-conservative systems. Vibration of multi-degree-of-freedom systems. Small oscillation theory. Free vibration eigenvalue problem. Undamped system response. Viscously damped systems. Vibration of continuous systems. Modes of vibration of bars, beams, membranes, plates.


Inspire-ME aims to inspire girls into STEM field with a focus on Mechanical Engineering topics. Aligned with Prof. Tol’s research program at UM, Inspire-ME has been initiated by Prof. Tol and integrated with the UM WISE Girls in Science and Engineering (GISE) Camp organized by UM Women in Science and Engineering (WISE). Inspire-ME teaches vibration, acoustic and wave propagation concepts to 7th and 8th grade female students through demonstrations and hands-on activities. 

Inspire-ME has been launched with a pilot module in Summer 2019! 

Prof. Tol and Micheal guide campers to generate different types of waves with a slinky
Prof. Tol and Micheal guide campers to generate different types of waves with a slinky. 
GISE campers are answering the quiz questions
GISE campers are answering the quiz questions.