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Massachusetts Institute of Technology

Differential Equations: 2x2 Systems

Massachusetts Institute of Technology via MITx Online

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Overview

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In order to understand most phenomena in the world, we need to understand not just single equations, but systems of differential equations. In this course, we start with 2x2 systems.

Syllabus

  • How to model real world problems by 2x2 systems of differential equations
  • How to use matrix methods to solve homogeneous systems of 2 first order linear differential equations
  • How to use graphical methods to understand the qualitative behavior of linear and nonlinear systems, and how to apply linear approximation to nonlinear (autonomous) 2x2 systems

Taught by

David Jerison, Gigliola Staffilani, and Jennifer French

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