The concepts from linear systems and probability are integrated in the study of Markov Chains and Game Theory. The use of graphing calculators and computer software will be an integral part of the course. This course takes a problem-solving approach to the concepts and techniques of differential calculus. Applications are selected primarily from business and the behavioral and social science. The focus of the course is the process of learning to ask appropriate questions, to collect data effectively, to summarize and interpret that information, and to understand the limitations of statistical inference.
Statistical software is used in the analysis of data and in statistical inference.
In this class students and faculty discuss problems that cut across the boundaries of the standard courses, and investigate general strategies of problem solving. Students are encouraged to participate in a national mathematics competition. The course will present a rigorous treatment of the foundations of Euclidean geometry and an introduction to a non-Euclidean geometry. The course will emphasize the axiomatic method and students will be expected to do proofs. Students will be introduced to the history of the discovery of non-Euclidean geometry.