Can every number be written as a fraction? For a long time, mathematics relied only on natural numbers, integers, and rational numbers. Fractions were enough
I wrote a new Lecture entirely dedicated to hyperbolic functions and their inverses. In it, I explain what hyperbolic functions are, when – for example – they are useful, and why they sometimes appear in Wolfram results, generally causing panic among students. However, the hyperbolic sine isn’t that scary – I invite you to the Lecture.
I’ve added a new article with a video to the „Lectures” section (on the right sidebar): Cyclometric Functions.
It’s dedicated to cyclometric functions (arcsinx, arccosx, arctgx, arcctgx) and is divided into two parts. In the first part, I quickly show how to calculate them, and in the second part, I delve deeper into the topic (definitions, graphs).
Today, it’s going to be short. My quick question for you is:
What is the square root of x squared?
When I was still giving tutoring sessions, I asked this question to many high school and college students. Do you know how many knew the correct answer? Two.
This post is already the third in a row where I want to draw your attention to things that are worth reviewing at the very beginning of your mathematics studies at university. A quick review of them will make your life in university much easier.
Today it’s the turn of the quadratic function.
Quadratic function? The topic of the quadratic function is, of course, very broad, and I don’t mean at all that you should take a high school textbook and go through the entire chapter from cover to cover. Let’s just focus on a few important details, nuances, and traps.
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