Science comes down to models of the super complicated world around us; and the best models, are the ones we use to this day to send rockets into space, create electrical systems, and invest in the stock market. And as we’ll find in this course, some of the most famous and applicable models don’t even need to be that complicated to be useful! This course will give a broad outlook on modeling electrical and mechanical systems using first and second-order differential equations and coding up small simulations to visualize our mathematical predictions. On a typical class day, we will start with a system, analyze it mathematically in the first half, and program a simulation in the second half.