What it’s like to work as a data scientist in a bank
I’ve been working as a data scientist in the private sector (in a bank) for the past three years, one year as the leader of a chapter of (...)
January 23, 2022 – Jakub MarianMathematics
What is real GDP and GDP growth?
Politicians and economist always keep talking about gross domestic product (or GDP for short). But what is GDP and why does everybody seem (...)
November 15, 2018 – Jakub MarianEconomics
How to understand GDP indicators
Gross domestic product, or GDP for short, is perhaps the single most important measure in modern macroeconomics. That is not to say that (...)
November 5, 2017 – Jakub MarianEconomics
GDP of Arab League Countries 2016
The Arab League is a regional organization of 22 countries where (a dialect of) the Arabic language is spoken. The following table shows (...)
October 26, 2017 – Jakub MarianEconomics
What is $0^0$ ($0$ to the power $0$)?
A short answer to this question is that $0^0$ is usually left undefined in introductory calculus classes, just like $0/0$, but it is often (...)
October 15, 2017 – Jakub MarianMathematics

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Integral of $\cot(x)$
To integrate cot(x), recall that cot(x) = cos(x)/sin(x), so ∫ cot(x) dx = ∫ cos(x)/sin(x) dx. (...)
September 21, 2017 – Jakub MarianMathematics
Integral of $\sin(x)\cos(x)$
The function $\sin(x)\cos(x)$ is one of the easiest functions to integrate. All you need to do is to use a simple substitution $u = (...)
September 6, 2017 – Jakub MarianMathematics
How to calculate the factorial of 1/2
As I proved in my article on integration by parts (at the end), the factorial of a natural number $n$ can be calculated using the (...)
July 8, 2017 – Jakub MarianMathematics
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Integral of $\log(x)$ (or $\ln(x)$)
The natural (base $e$) logarithm is usually denoted $\log(x)$ in mathematics, but for the sake of students of other disciplines, we will (...)
July 7, 2017 – Jakub MarianMathematics
Explanation of integration by parts
Integration by parts is one of the first methods people learn in calculus courses. Together with integration by substitution, it will (...)
July 6, 2017 – Jakub MarianMathematics