DefinitionMultistep methods are a type of numerical methods for solving ordinary differential equations where the k closest points in the past are used to calculate the next point. Some of these methods are, Adams-Bashforth methods, Adams-Moulton methods, Example: Adams-Bashforth Method. Number theory is a branch of mathematics that specialises in the study of integers and their properties Engineering mathematics is the study of the operations, which are present in algebra, calculus, and their different forms of mathematical operations or by a differential equation, especially by order theory. It also covers prime numbers, and sometimes complete properties of the terms, numbers, terms or, and sets – started when they were related in the field of cryptography thousands of years ago and the property to be shown or not. Example: Fermat’s Last Theorem Some parametric equations are equations that represent the points of a curve in terms of a parameter. It is helpful to use this form when we are dealing with shapes of complex curves and surfaces. Example: x=cost,y=sint for t∈[0;2π], parametric, describes a circle with a radius of 1 Partial derivatives are the derivative of one variable with respect to its rate of change while keeping other variables fixed. They are crucial in the study of multivariable calculus. Example: given fxy=x2y+y3, the partial derivative with respect to x is ∂x∂f=2yx.
