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EXPONENTIAL DISTRIBUTION (HIGHER ENGINEERING MATHEMATICS)

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DIFFERENTIAL EQUATION

A Differential Equation is an equation with a function and one or more of its derivatives: differential equation y + dy/dx = 5x Example: an equation with the function y and its derivative dy/dx Differential Equations can describe how populations change, how heat moves, how springs vibrate, how radioactive material decays and much more. They are a very natural way to describe many things in the universe.

HIGHER ENGINEERING MATHEMATICS

Historically, engineering mathematic consisted mostly of applied analysis, most notably: differential equations; real and complex analysis (including vector and tensor analysis); approximation theory (broadly construed, to include asymptotic, variational, and perturbative methods, representations, numerical analysis); Fourier analysis; potential theory; as well as linear algebra and applied probability, outside of analysis. These areas of mathematics were intimately tied to the development of Newtonian physics, and the mathematical physics of that period. This history also left a legacy: until the early 20th century subjects such as classical mechanics were often taught in applied mathematics departments at American universities, and fluid mechanics may still be taught in (applied) mathematics as well as engineering departments