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Learn the mathematical theory of linear differential equations and their application to systems such as the mass-spring system and other linear oscillations. Phenomena as diverse as the motion of the planets, the spread of a disease, and the oscillations of a suspension bridge are governed by differential equations. This course is an introduction to the mathematical theory of ordinary differential equations and follows a modern dynamical systems approach.
In particular, equations are analyzed using qualitative, numerical, and if possible, symbolic techniques.
What you'll learn:
- How to take advantage of techniques to model linear equations
- How to analyze equations with two dependent variables using qualitative, numerical, and symbolic techniques
- Forced second-order linear equations and related phenomena such as beats and resonance