We may face the task of solving different types of equations while studying mathematics, so in this post, we will see how to solve first, second, and third degree equations. Table of content: Possible cases for the solutions Solving first degree equations Solving second degree equations Solving...

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## Operations Research: The Science Of Doing Better

Operations research is the art of problem-solving and decision-making. In this article, we will learn more about "The Science of Doing Better" and its endless applications. Table Of Content: Introduction What is Operations Research? Origins and development through time Operations Research...

## 20 Professional Roles Requiring Statistics

As explained in the first Lecture of A Tutorial in Data Science - a 10 Lecture Series I wrote to supplement our Data Science course at Mathematics Academy to help you learn the theoretical foundations of this new science - Statistics is the study of measuring the validity of claims and...

## Research Colloquium: SEIR Model of COVID-19 using Economic Functionality for Transmission Coefficient Dynamics

Our previous research colloquia on COVID-19 consisted of 1) a preliminary sketch of a multi-scale thermodynamics paradigm ('functional communication') developed to analyze this phenomenon and 2) a graphical analysis of the economic attributes of the meso level of the crisis. Now, we combine these...

## How to Hire the Right Math Tutor

The Three Biggest Pitfalls in Hiring a Tutor and How to Handle Them When searching for a tutor there are three major things you need to have in place to ensure a good experience. Having a good tutor can be a great benefit far more bang for your buck than classroom education, but there are three...

## Absolute Value and Square Roots

Absolute values often show up in problems involving square roots. That’s because you can’t take the square root of a negative number without introducing imaginary numbers (those involving $i = \sqrt{-1}$ ). Example 1: Simplify $\sqrt{x^{2}}$ This problem looks deceptively simple. Many students...

## Absolute Value and Logarithms

Absolute Value and Logarithms Absolute values often turn up unexpectedly in problems involving logarithms. That’s because you can’t take the log of a negative number. Let’s first review the definition of the logarithm function: Logb x = y ⇔ by = x (The double arrow is a bi-conditional, which means...

## L’Hospital’s Rule

L’Hospital’s Rule is a useful way to evaluate tricky limits. It is most often used for limits of indeterminate form. The rule is as follows: If $f(x)$ and $g(x)$ are differentiable on some interval around the number $a$ (or if $a=\infty$, $f(x)$ and $g(x)$ are differentiable for all...