Applied Partial Differential Equations
Division III; Quantative/Formal Reasoning;
Partial differential equations (PDE) arise as mathematical models of phenomena in chemistry, ecology, economics, electromagnetics, epidemiology, fluid dynamics, neuroscience, and much more. Furthermore, the study of partial differential equations connects with diverse branches of mathematics including analysis, geometry, algebra, and computation. Adopting an applied viewpoint, we develop techniques for studying PDE. We draw from a body of knowledge spanning classic work from the time of Isaac Newton right up to today’s cutting edge applied mathematics research. This tutorial is appropriate as a second course in differential equations. In this tutorial, students will: build and utilize PDE-based models; determine the most appropriate tools to apply to a PDE; apply the aforementioned tools; be comfortable with open-ended scientific work; read applied mathematical literature; communicate applied mathematics clearly, precisely, and appropriately; collaborate effectively.
The Class: Type: tutorial
Requirements/Evaluation: participation, problem sets, oral presentations, oral exams, and a final project
Extra Info: may not be taken on a pass/fail basis; not available for the fifth course option
Prerequisites: MATH 209 or MATH/PHYS 210 or MATH 309 or permission of instructor
Enrollment Preference: students with an interest in applied mathematics, selected to create a diverse set of tutorial participants
Department Notes: students who have taken MATH 453 may not enroll in MATH 458T without permission of the instructor
Distributions: Division III; Quantative/Formal Reasoning;
Distribution Notes: QFR: This tutorial involves regular and substantial problem sets in which quantitative/formal reasoning skills are practiced and evaluated.