Practical exercises make an important part of a math course, which helps to deeper understand all theoretical information and further study more complex math sections. Quite often students do not even realize that they make mistakes and why that happens. In this article, we will analyze the most common student’s problems met while solving calculus homework. (more…)
Previously, we’ve already introduced the Kirchhoff’s Circuit Law as a separate topic. And today, we shall consider another method for the circuit analysis, which is called the Mesh Current Method. The advantage of this method is that we obtain less unknown variables and equations when we solve the circuit. Let’s consider the T-circuit scheme from the mentioned post and solve it with the help of the Mesh Current Method. (more…)
There are a lot of different math tricks that can impress you with their beauty and compactness. In this post, you will find not only their examples but also will try to create your own. To begin with, a few “Mathematical Curiosities” are introduced by the famous Russian mathematician and physicist Yakov Perelman (1882-1942) in his popular book “Arithmetic for entertainment”. Here are some of them: (more…)
Scientists all over the world usually argue about when it is better to learn a language. And we argue with them that there is no better time than NOW. No matter what county you live in, what age you are and what specialization you have, “I have no time” and “I was badly taught at school” are no longer the excuses. Actually, everybody has no time, but for many it’s not a problem. Surprized? Let’s then find out how to cope with this. (more…)
For a student, there’s nothing more pleasing than planning a summer vacation, especially when summer is in full swing. But how many of you have ever made up some colossal plans and finally failed with more than half points in the list? Even this year? Well, a lot. And we are not trying to judge or demotivate you to arrange your future free time, let’s just together take a look at how to make the most of the rest of your summer. (more…)
Any system or process can be described by some mathematical equations. Their nature may be arbitrary. Does security service of a stadium want to know fan traffic in the case of fire? Does an engineer construct a thermal generating unit for your house? Usually, using a small set of general rules and laws of nature, one can predict everything at least for the nearest future. So, in this article, we’ll continue our topic of the computer simulations and deal with the way all these calculations are performed. (more…)
Numbers accompany us from birth until the last days and we can’t imagine the life without them. Among all the numbers, there are some special ones, named perfect. And despite a lot of papers are devoted to these perfect numbers, only 24 such numbers have been determined so far. So what is special about these numbers? Well, the number is called perfect if it is equal to the sum of all its proper divisors excluding itself. Now, let’s find out more! (more…)
