MA133 Differential Equations Notes | Assignment Help | Syllabus
Country: United Kingdom
University: The University Of Warwick
How do you re-create a curve when you know the slope at each point? Is it possible to anticipate a tennis ball’s trajectory? The cornerstone of all applied mathematics is the fundamental theory of ordinary differential equations (ODEs), which is taught in this subject. Indeed, the calculus was invented by Newton in order to solve (and accurately express) the differential equations that resulted from his laws of motion.
This theory, however, is not just of interest to practical mathematicians: it is an essential component of any rigorous mathematical education, and it is presented in a methodical manner here. Ideas from the theory of ODEs are useful in many fields of pure mathematics, such as geometry and topology, just as a “pure” topic like group theory may be part of the everyday armoury of the “applied” mathematician.
We’ll go through first-order equations and some basic examples in this module.
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