MAT 270 Foundations of Mathematics
This course transitions between computational mathematics courses completed in early undergraduate studies and upper-division courses which rely on higher mathematical reasoning. Emphasis will be placed on concepts, precise thinking, and approaches required to create new mathematics and solve real world applications. Students will be encouraged to discover and think rigorously about mathematics, learn how to properly communicate results, and understand the interplay between various branches of mathematics. Topics include the language, grammar, and methods of proof; modeling techniques; the use of software to perform mathematical investigations.
Recommended Text: Mathematical Proofs: A Transition to Advanced Mathematics by Gary Chartrand, Albert D. Polimeni, and Ping Zhang. ISBN 978-0-321-79709-4
Prerequisite
MAT 266