M391 | 2967 | Brothers

P: M212 or M216 or consent of instructor. Text: Mathematical Thinking: Problem Solving and Proofs, by D'Angelo and West Course requirements: Weekly graded homework, three exams, comprehensive final exam. Course description: M391 provides preparation for 400-level math courses which have a substantial emphasis on proofs--mainly M, T, S403 and M, S413. The prerequisite is either M212 or M216 or Computer Science C241. The main goal is to learn how to construct proofs in a variety of elementary mathematical settings. Beginning with the study of some issues in high-school algebra from an advanced standpoint, we will go on to an examination of the concept of "proof" in the study of logic. We will then study mathematical induction and some more advanced topics in algebra. These topics will be applied to the development of some of the number systems studied in advanced algebra.