MTH 4000
Bridge to Higher Mathematics · 3 credits · Fall 2026
Requirements
Prerequisite: MTH 3007, MTH 3010, MTH 3020, MTH 3030, or MTH 3050
About this course
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.
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