Fall 2024

Intro. to Numerical Computing & Intro. to ODEs • 36 Students

Math 375 Introduction to Numerical Computing

Schedule: Section 03: TTh 11:00am - 12:15pm

This semester I am teaching Math 375: Introduction to Numerical Computing (also listed as CS 375). This is an introductory course covering such topics as solution of linear and nonlinear equations; interpolation and approximation of functions, including splines; techniques for approximate differentiation and integration; solution of differential equations; familiarization with existing software.

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Math 462/512 Introduction to Ordinary Differential Equations

Schedule: Section 01: TTh 8:00 - 9:15am

This semester I am teaching Math 462/512: Introduction to Ordinary Differential Equations. This is a first year graduate course designed for students in applied mathematics. It is also one half of the prepatory sequence for the differential equations qualifying exam. Material covered will include: Linear systems. Existence and uniqueness theorems, flows, linearized stability for critical points, stable manifold theorem. Gradient and Hamiltonian systems. Limit sets, attractors, periodic orbits, Floquet theory and the Poincare Map. Introduction to bifurcations.

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