Calculus

Calculus

Calculus is the mathmatical study of change. Calculus has two branches, differential calculus and integral calculus.

Contributors in Calculus

Calculus

An extension of trigonometry with the standard six hyperbolic trigonometry functions defined using ''e x '' and ''e –x ''. The six functions are: sinh ''x'', cosh ''x'', tanh ''x'', csch ''x'', sech ...

derivative

Mathematics; Calculus

A function which calculates the slope of a curve; that is, the slope of the tangent line to the graph of the function at that point. The derivative of a function f at a point x is commonly written ...

first order differential equation

Mathematics; Calculus

An differential equation in which the highest derivative is a first derivative, i.e. an ordinary differential equation of order 1. As an example, ''y' '' + ''xy'' = 1 is a first order differential ...

explicit differentiation

Mathematics; Calculus

The process of finding the derivative of an explicitly defined function. For example, the explicit function ''y'' = ''x'' 2 – 3''x'' + 1 has derivative ''y''' = 2''x'' – 3.

absolute maximum

Mathematics; Calculus

The highest point over the entire domain of a function or relation.

axis of rotation

Mathematics; Calculus

A line about which a plane figure rotates in three dimensional space to create a solid or surface.

exponential growth

Mathematics; Calculus

A quantity growth model in which the rate of growth is directly proportional to the amount present. Exponential growth is often expressed as A = A 0 ''b'' t (where ''b'' > 1 ) or A = A 0 ''e kt '' ...