Archive for the ‘Mathematics’ Category

We've all heard the term “mass” in school before. But what actually is mass? And how can we calculate it if we know the force and weight of an object? Well, I’m glad you asked. To calculate mass, you need to know the force of gravity that's acting on the object, and its weight. And […]

Separation of Variables, widely known as the Fourier Method, refers to any method used to solve ordinary and partial differential equations. To apply the separation of variables in solving differential equations, you must move each variable to the equation's other side. Get to Understand How to Separate Variables in Differential Equations As indicated in the […]

Subtracting integers on a number line is easy as pie! All you need is a number line, some numbers, and a reason to subtract. It's really that easy. Let's start by reviewing some key terms. What is an Integer? Integers are countable, whole numbers. Positive and negative whole numbers are integers. Examples include 3, -3, 5, […]

An equation between two variables is known as a Linear equation. A Linear equation usually results in a straight line when plotted graphically. The variables, which on most occasions are real numbers, are considered the parameters of the equation. There are several systems of linear equations involving the same set of variables. A system here […]

A polynomial is a mathematical expression made of variables and coefficients. The only operations polynomials use are addition, subtraction, positive integer exponents, and multiplication. You cannot raise the variables in a polynomial to irrational powers, complex powers, square roots, etc. What does a polynomial look like? A simple example: 6x7 + 23x3 – 7 This example is a […]

Exponents are used to represent any function that changes rapidly. If the process is for growth, it means that the bigger the process grows, the faster the growth. Exponential functions are explained with this formula: y = abx where y is the remaining quantity at the end of time t, say 2 years. a is the initial amount before the […]

What is the probability of two events happening? My friend asked me, “I need a clear day with no rain on either a Saturday or Sunday to plant my garden. I don’t care which. There is typically a 30% chance of rain on any given day during the summer months.” Since the probability of two events both […]

The term "quadratic" traces from the Latin word "quad," which means "square." This is because the variable gets squared(X²). A quadratic equation is, thus, sometimes referred to as Equation of Degree 2 since the greatest power is 2 (having one or more variables raised to the second power). The standard form of any quadratic equation […]

Addition and subtraction can get complex the more numbers, signs and variables are involved. This is why, before we dive into the subtraction of negative numbers from positive numbers, we will revisit the basics of numbers, addition and subtraction first so that the concepts are built on one another. Numbers can be positive or negative […]

Some formulas you'll often use in algebra or everyday calculations include the rate of speed of an object moving for a given time and distance. These concepts are probably familiar, particularly if you're a fan of speed! We'll walk you through determining the rate of speed formulas in algebraic calculus. What Is Rate of Speed? The difference […]