This document consists of five units which all view applications of mathematics to American politics. The first three view calculus applications, the last two deal with applications of algebra. The first module is geared to teach a student how to: 1) compute estimates of the value of the parameters in negative exponential models; and draw substantive conclusions about attrition processes from applications of negative exponential models. The next unit aims for pupils to gain an understanding of the role of recruitment and defection rates in political mobilization. The third module helps users understand some of the consequences and applications of a specific model. The last two modules make up a single section. Their aim is to enable the student to work with an elementary gain/loss model, and to understand some of the basic principles of the use of models to study political behavior. All the units contain exercises, and answers to all problem sets are provided. (MP)