Category: Mathematics for Marine Engineering.

Limits and Continuity

The concept of the Limits and Continuity is one of the most crucial things to understand in order to prepare for calculus.…

Indeterminate Forms and l’Hospital’s Rule

In this section, we examine a powerful tool for evaluating limits. This tool, known as L’Hôpital’s rule, uses derivatives to calculate limits.…

Taylor’s Theorem

One of the most important uses of infinite series is the potential for using an initial portion of the series…

Maclaurin’s Theorem

This simple article shows how the Maclaurin series works, and how to write out the expansions. Although modern calculators are…

Leibnitz Theorem

Leibnitz Theorem is basically the Leibnitz rule defined for derivative of the antiderivative. As per the rule, the derivative on nth…

Trigonometric Function Differentiation

The six trigonometric functions also have differentiation formulas that can be used in application problems of the derivative. The rules…

Implicit Differentiation

A function in which the dependent variable is expressed solely in terms of the independent variable x, namely, y = f(x), is said to…

Successive differentiation

Quotient Rule

The quotient rule is a formula for taking the derivative of a quotient of two functions. It makes it somewhat easier to…

What Is the Product Rule?

The product rule is used in calculus when you are asked to take the derivative of a function that is the multiplication…

DIFFERENTIAL CALCULUS

Curvature: The rate of bending of a curve in any interval is called the curvature of the curve in that interval.…

THE SPHERE

A sphere is the locus of a point moving at a constant distance form a fixed point. The  constant distance…