Learning About Archimedes of Syracuse in the History of Calculus

It's very easy to say that Isaac Newton introduced the wondrous tool of calculus. Maybe, learning how to implement physics into calculus. However, one can think that the history of mathematics is very long. As far as history permits, we can learn about the mathematics of the Greeks. A lot of ancient structures are a testament to the usage of engineering mathematics in ancient times.

From MacTutor, I would like to share this amazing fact about Archimedes of Syracuse with his amazing discovery:

Archimedes was the greatest mathematician of his age. His contributions in geometry revolutionised the subject and his methods anticipated the integral calculus. He was a practical man who invented a wide variety of machines including pulleys and the Archimidean screw pumping device.

At first, mathematics in the classroom feels dull and lifeless. I think it's because there's hardly any exposure to the applications. I felt that too that it was a dull mental exercise. I found in college that calculus is part of life, and all mathematics is part of life. The more I read history, the more I felt like I regret hating mathematics in my teenager years. Though, I still feel that the way mathematics is taught might be encouraging more hatred than love for such a wonderful subject.

The calculus I'm familiar with is differential calculus. I'd like to do more research on integral calculus as I try to overcome my old-age fear of mathematics. Knowing history may help more students get more interested in the fascinating world of mathematics.

Integral Calculus is the branch of calculus where we study integrals and their properties. Integration is an essential concept which is the inverse process of differentiation. Both the integral and differential calculus are related to each other by the fundamental theorem of calculus. In this article, you will learn what is integral calculus, why it is used, its types, formulas, examples, and applications of integral calculus in detail.

Now, for the applications:

Application of Integral Calculus
The important applications of integral calculus are as follows. Integration is applied to find:
The area between two curves
Centre of mass
Kinetic energy
Surface area
Work
Distance, velocity and acceleration
The average value of a function
Volume

I can't exactly talk much about calculus. The area between two curves is used also in finances and economics. Granted, I'm no economist so I might need to read more about how it's used. Meanwhile, I'm here now trying to get more people who hate mathematics to actually like it. I overcame my hate for it. I believe that teaching about mathematics' long history and applications may slowly help overcome a phobia for it.

Why Jose Rizal Made Simoun's Terrorist Plot Fail in "El Filibusterismo"

As it's Buwan ng Wika or Buwan ng Kasaysayan, I'm tempted to dig into some of my high school Filipino lessons. Right now, I have no idea where my former Filipino teachers are teaching. I recall being told that, since I'm a good writer, I should focus on peaceful resolutions rather than following the path of hatred and violence. I watched the Jose Rizal film back when I was in college. I was asked a provocative question: why Rizal never made Simoun (who was actually Crisostomo Ibarra from Noli Me Tangere ) succeed in the violent revolution. Casa Grande Vintage Filipino Cinema Facebook Page I noticed some people tell me El Filibusterismo was a boring book. However, I felt that something was wrong with the Philippines, and I felt that peaceful means weren't going anywhere. Where was my talent in writing heading? I was already more than desperate to move away from the Philippines. That's why I wanted to take Information Technology, even if I sucked at mathematics. It w...

The Song "Ako'y Isang Pinoy" Really Reeks of Historical Ignorance

It's Buwan ng Wika or Month of the Language. One of the songs that's often sung in the Buwan ng Wika program is "Ako'y Isang Pinoy" or "I'm Filipino" in English. I remembered this song was sung in the Filipino language class. I did hate the Filipino language, especially as an ethnic Chinese growing up in the Philippines. Examining the lyrics The lyrics go like this with English translation: I am a Filipino Ako'y isang pinoy In heart and soul Sa puso't diwa Filipino born Pinoy na isinilang In our country Sa ating bansa I am not good at foreign languages Ako'y hindi sanay sa wikang mga banyaga I am a Filipino who has my own language Ako'y pinoy na mayroong sariling wika Gat Jose Rizal then spoke Si Gat Jose Rizal nooy nagwika He preached in our country Sya ay nagpangaral sa ating bansa It is said to not love one's own language Ang 'di raw magmahal sa sariling wika The smell is more than stinky fish Ay higit pa ang amoy sa mabaho...

The Curious Case of Dayang Dayang, Not Dayang Daya

I remembered the song "Dayang Dayang" which had a parody cover called "Dayang Daya". Some people wondered if it was from India. Some say it was a Muslim song which makes more sense. It's because the beats almost sound like one from Filipino Muslim dances. Granted, a lot of Filipinos descended from either Malaysian or Indonesian settlers then it would make sense if Dayang Dayang is danced to the Pakiring. The song I just share comes from an Indonesian singer who probably popularized the song. Many words from the Filipino language match up with Malaysian language or Indonesian language. The Filipino word for help (tulong) is tolong in Indonesian and Malaysian. The Malaysian (or Indonesian) term Dayang is said to mean a noble lady. It would make sense of the song "Dayang Dayang" would've come from Indonesia, Malaysia, or from Mindanao in the Philippines. This was the most common version heard. I think the video maker wrongly attributed it to Bollywo...

30 Years of Flor Contemplacion Crybabies Spreading Fake News

Liza Maza Facebook Page It's 30 years since Flor Contemplacion was executed in Singapore. My memories was how some people felt hatred for Singapore, how we were told that "Filipinos are always oppressed." in both values education and civics classes, and how Flor should be regarded as a heroine. The Buwan Ng Wika program came and Flor's execution was also highlighted in the song "Kuko Ng Agila" (Claws of the Eagle). Flor was always romanticized as innocent, a martyr, and even some decent Filipinos bought it once. However, I soon accepted Flor's execution to be what it is-- Singaporean justice . Some people are still continuing to commemorate Flor--as if she was some kind of Catholic saint or martyr. I could remember rallies year after year, commemorating Flor's "martyrdom". What was also ironic was, at that time, the Vizconde Massacre (read here ) happened and the wrong people were arrested. The public demanded the blood of Hubert Jeffry P....

Mahatma Gandhi's Use of Tax Evasion, as a Form of Protest?

The 40th anniversary of the 1986 EDSA Revolution came last month. Benigno Simeon "Ninoy" A. Aquino Jr. said these words: "According to Gandhi, the willing sacrifice of the innocent is the most powerful answer to insolent tyranny that has yet been conceived by God and man." Basically, EDSA 1986 can't claim to be all too unique. Ninoy had made Gandhi an inspiration. The dictatorship of the First Marcos Administration may be over . However, the Philippines is still stuck in another dictatorship called the dictatorship of the Filipino First Policy . It does sound stupid, but even without Marcos or foreign colonization (please stop mistaking foreign investment with foreign invasion ), there's still some oppression to fight. You can think about decades of overly high taxes and restrictions on foreign investments. Now, we need to look at the historical context in which Gandhi's "tax evasion" occurred. According to a Jagran Josh article written by ...

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