Do you need help wrapping your head around partial fractions? Below we present an introduction to partial fractions and how they relate to multivariable calculus.
Partial fractions are a way of splitting fractions that contain polynomials into simpler fractions. Using partial fractions can help us to solve problems involving complicated fractions, for example, when having to integrate or differentiate.
Equations containing variables in logarithmic expressions are called logarithmic equations (sometimes shorten as log equations). Solving logarithmic equations can be easy and entertaining if you are aware of the principal methods and different scenarios. Here we’ll go through comprehensive guide on how to solve log equations and which methods are most efficiently to use.
A quadratic equation (shorten as quadratic) is one in which the highest power of the unknown quantity is 2. We’ll outline different ways of solving quadratic equations, including the most general method of using the quadratic equation formula.
The higher the certainty of a measurement, the more accurate or precise it is. We usually use the words accuracy and precision interchangeably, but they have different meanings in the context of scientific measurements.
First-order differential equationsare equations involving some unknown function and its first derivative. The main purpose of this CalculusIIIreview article is to discuss the properties of solutions of first-order differential equations and to describe some effective methods for finding solutions.
Calculating a derivative of cos(x) is one of the most important questions in variable calculus because the derivatives of other trigonometric functions can be derived from the derivative of cos(x) using the rules of differentiation.
It is known that the solution of a differential equation can be displayed graphically as a family of integral curves in the plane which is usually called the phase plane. Properties of planes are the subject of study of Calculus III. In this post, we’ll investigate equations of planes, and explain how they can be employed
In vector calculus, the cross product of two vectors is a special operation that gives a new vector perpendicular to both initial vectors. The cross product has many applications in multivariable calculus and computational geometry. In this review article, we’ll define the cross product and investigate its properties. You’ll learn how to calculate the cross product, how to derive the cross product formula, and how to make use of the cross product formula in different applications.
Laplace transforms are important tools for us to use when solving linear differential equations. The Laplace transform is a relation of the form – As we can see, the Laplace transformation converts the function f f into another function – which is called the Laplace transform of –
In these eigenvalues and eigenvectors notes, we’ll review some results from linear algebra that are important for studying differential equations. Here, you will find the definitions and methods for finding eigenvalues and eigenvectors. We’ll also review some basic facts about systems of linear differential equations with constant coefficients