Today I have decided to start a little review about Calculus- a higher level of mathematics. It is one of the mathematics subject being studied by engineering students. As stated in my introductory post, I studied engineering. Today I got the opportunity to start a minor self-review of the subject and decided to have it as my ULOG post today. I also wanted to share a very basic knowledge and understanding of a part of it to my co-uloggers and co- steemians. I used a book as a reference authored by Filipino Professors who are prominent mathematicians. To be honest i am not a mathematics lover but I must not deny the fact that I found joy when I engage with it.
Calculus contains numerous topics. Today I started from the very introductory of it. I reviewed a very basic topic that can be found on other mathematics subjects. This certain topic is very essential before digging deeper into calculus since it is one of the very basic knowledge that must be learned to comprehend the subject well.
SO WHAT DID I FIND WITH CALCULUS TODAY?
Calculus is a branch of mathematics which started to develop in the 17th century
It was created independently by Sir Isaac Newton(English) and Wilhelm Leibniz(German) coincidentally at about the same time
The word “calculus” is derived from the latin word for stone or pebble, where in the ancient times, pebbles were used for counting roughly defining calculus as “a method for counting”
It has two Divisions: the Differential Calculus which engages the study of the rates with which quantities change and Integral Calculus which is all about the inverse of Differential Calculus to estimate the overall amount of a certain quantity by combining infinitesimal data
Maybe some of what I’ve written above are new to some of my co-steemians. My goal in these ULOG post is to share what I am about today. It is the reason why @ulog is created. It encourages everyone to be true to itself and to let the world know through this platform.
So to continue, I fetched one basic topic of calculus for today since I got a limited hour to study everyday due to some responsibilities. The topic is all about the functional notation. It is a very important topic when we discuss the principle calculus in general terms.Well this topic looks like too easy because of its concept. It is almost comparable to just substituting a value in a certain variable. However it is not that easy when I encountered difficult practice problem. In the book each topic has a corresponding practice problem. It makes the study more effective. I have solved some problems and I also skip some which I tried to solve and appeared to be difficult now. I’ll just get back to it later.
SO WHAT IS THE FUNCTIONAL NOTATION?
Well, it is not that difficult as it sounds as i had stated before. To understand the concept I made some very simple definitions below.
A function is just a certain law of correspondence
It is generally associated with a formula
A very basic example is Einstein’s famous mass-energy equivalence formula: E = mc^2 where, E is energy, m is for mass and c for the speed of light
In the example above, E is a function of both mass and the speed of light. The formula itself is a functional notation.
I tried to solve some exercises in the book. Luckily I am able to get the correct answer to the majority of the problems.
That was the piece of paper I used as an answer sheet. I apologize it is a little dirty because it is just a recycled one and I really apologize for my penmanship (it is not also what i wanted). I seldom use new sheets as an answer sheet for practice problem solving. I always find used paper as a scratch as long as there is still space for writing.
So that was all for me today. I hope you find something interesting in my post.
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