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Mar 28, 2024
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2022-2023 Academic Catalog [ARCHIVED CATALOG]
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MAT 317-01 & 02 - Advanced Topics in Analysis: Experimental Analysis4 credits (Fall) The pure mathematician has traditionally solved problems by “paper and pencil.” While the use of computers has changed our world in many respects, this has not (with few exceptions) come back to significantly help pure mathematicians in their research. This course will show how computers can be leveraged to study problems connected to analysis, including problems in integration, infinite series, difference equations, chaos theory, and root finding. The common thread is using the computer algebra system Maple, with its symbolic, numerical, and visual capabilities, to formulate conjectures, find counterexamples, and even aid in constructing proofs. Students will master the use of Maple, learn some recently developed algorithmic tools, and work on a research project. Previous experience with a computer algebra system is not required.
Prerequisite: MAT 316 . Instructor: Chamberland
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