The Taylor Series is perhaps one of the most interesting topics that is covered in a calculus class. Certainly for me, learning about the Taylor Series was a daunting task full of twists and turns. However, the process was extremely rewarding, and the knowledge gained proved to be game changing on my outlook of calculus in general. In this article, I hope to articulate some of the concepts and ideas that I gathered about the Taylor Series.

The idea surrounding the Taylor Series is mostly attributed to Brook Taylor, who conducted worked on the concept in the early 18th century…

In our world, few things are as powerful as data. As Engineer W. Edwards Deming put it,

“Without data, you are just another person with an opinion.”

But sometimes, data on its own is not enough to solve the questions we seek to answer. After all, we can not do too much with just a spreadsheet full of numbers. That is why it is extremely important to be able to turn data into something we are able to use. More often than not, this involves transforming said data into a more understandable format. …

If you’ve taken any sort of calculus course, you will have undoubtedly been introduced to the derivative. It is one of the most important aspects of mathematics, and it serves as the basis for all topics in calculus.

We define the derivative as the rate of change of a function with respect to a variable, usually x. However, as always, mathematicians have come to represent this definition in a much more math-y way, which is called the limit definition.

With the publication of my last article, I have officially surpassed 1,000 views on Medium. For some of the more experienced writers on this platform, this number may not seem to have much significance. However, to me, this achievement represents an important milestone. It tells me that my efforts have not gone to waste, as well as the fact that they have had some impact on my audience. I always enjoy when I see claps or the occasional comment on one of my stories.

The main motivational factor throughout my 2–3 month journey so far has been to create the…

The concept of probability touches practically all aspects from our lives. In fact, we base many of the decisions we make on the probability of events we perceive to be the most beneficial. Therefore, it is crucial to obtain a decent understanding of probability theory and learn how to apply it to other problems.

Usually, the first things that comes to mind when we think about probability are dice or cards. After all, both of these objects are often associated with games, gambling, or anything with chance involved. Interestingly enough, the term “chance” actually quite accurately sums up the definition…

Since its creation, calculus has undoubtedly changed the world of mathematics for the better. It was a brilliant and new way of thinking, exploring the principles of continuous change. You may have heard of some of the calculus’s many topics, including differentiation, integration, and so on. But, have you ever considered how impactful these concepts really are? Many people end up just cramming techniques into their heads, whether it be the power rule or integration by parts, without actually understanding how useful they can be. However, I am here to tell you that calculus has impacts in all sorts of…

Experiments are the foundation of statistics, allowing us to make predictions, inferences, and more. As a result, they must be methodically conducted, or else findings may stray far from the truth. In this article, I will explain the fundamentals and key terms to help familiarize oneself with the concept of experimental design.

Variables

All well-designed experiments, regardless of topic, will have a response variable and an independent variable. The response/dependent variable is the variable of interest, which will be measured in the experiment. The response variable is affected by another variable called the independent variable, or a factor. Let’s look at…

Since joining medium back in January, I have thoroughly enjoyed writing about the topics I enjoy. I had nothing against writing in the past, but I could immediately tell that I did not need to force myself to write about stuff like math.

However, while writing has been fun, I have found myself slightly absorbed with my statistics. Especially early on, it was extremely difficult to stay away from my stats page. I still do not understand why, but there is just something extremely satisfying about watching the bar graph for each day rise as more views accumulate. But, if…