May be repeated for credit. This course includes propositional and predicate logic, with the objective of increasing students' understanding of what constitutes valid reasoning, as well as increasing their ability to express formal arguments. Participants use attribute blocks as a concrete tool for studying propositional logic. Boolean algebra and techniques for solving logic problems are examined. Students examine the algebra of several different mathematical structures with the goal of gaining a broader and more sophisticated understanding of ordinary algebra.
Relevant theory is developed.
Emphasis is placed on educational applications as well as the abuses and misuses of statistical ideas. This course covers the theory of sequences and series, finite differences, and applications of sequences to a variety of mathematical and empirical problems. These courses have been approved for the M.A.T. degree with prior approval of the student's advisor. May be repeated for credit if content differs. This course is designed to help individuals plan learning experiences.