Many societal issues benefit from precise mathematical analysis. In this course, three such issues will be studied: information theory, a 20th-century field of mathematics used in all modern means of communication; voting schemes, i.e. the different ways of deciding, from all the individual votes, what the opinion is of the whole population; and population growth models, so important in many discussions of our impact on the environment. For each, appropriate mathematical concepts will be introduced and then used to derive results in a mathematically rigorous way, followed by a discussion of their meaning and relevance.
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