For each of these systems the students will learn how to derive the governing differential equations, carry out a complete analysis of these equations, and perform computer simulations as needed. The goal is to use differential equations to bring out the physics or chemistry of the problem and at the same time use the physics or chemistry to construct a realistic mathematical model.
Every effort is made to promote critical thinking even at the simplest level.
Laboratory Experiments Measurement of the response of a mass-spring system driven by an eccentric rotor Generation and measurement of transverse waves on a string Use of oscilloscopes, function generators, multimeters etc. The students will do these experiments in groups of three and write a technical report on each experiment. In particular, they will be asked to make a detailed comparison of the results of the experiment with their predictions from an appropriate mathematical model.