Bridge to Higher Mathematics

This class introduces the fundamental and unifying concepts of the contemporary mathematics. Topics covered divide into four categories: 1) fundamental concepts of mathematics: definitions, proofs, sets, functions, elementary number theory; 2) discrete structures: graphs, counting; 3) discrete probability theory; 4) elements of analysis and topology. The underlying goal is to teach students about careful mathematics: precisely stating assertions about well-defined mathematical objects and verifying these assertions using mathematically sound proofs. MTH 4000 can be used as an elective within the math minor, as a required course within the proposed financial engineering major, or as a general elective for the BA, BBA, or BS degrees.