Math 251W: Foundations Spring 2020
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In this class you will transform from consumers of mathematics to creators; learning to use the tools of conjecture, abstraction, and logic to construct mathematical proofs. Proof writing is an integral part of all upper-level mathematics courses, and the method by which mathematicians extend the boundaries of what is known. It takes persistence, creativity, clarity, logical thinking, and an ability to see connections and patterns - skills which will help you in whatever field you pursue. Through this course you will: learn to read, understand, and compose mathematical proofs; distinguish valid arguments from invalid ones; formulate, write, and present logical arguments; develop your aesthetic sense in mathematics; and strengthen your analytic reasoning skills. |
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Tentative Schedule: |