What Makes Calculus Hard #shorts

What Makes Calculus Hard #shorts

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[voteforno.]

One of my professors in college had a saying -- "Calculus students don't fail calculus. They fail algebra and trig."

[pollutedwaters]

I absolutely agree. Conceptually I understood it but my algebra was terrible, it also affects physics and chemistry as well.

[snwgleb]

I've been saying that to others for years: hardest part about calculus is pre calculus.

[maanvigupta]

exactly! integration's fun but partial fraction can be very time consuming, not hard but can eat up your time in a subjective exam

[xyz.ijk.]

That is correct. I've been saying it for decades and no one has appreciated that. Well done.

[Subhalin]

Yes you are absolutely right. A person who is good in Calculus is also good in algebra and trigonometry

[harmonywallace]

Yes, absolutely. Another factor which makes Calculus as a series difficult for some is the mistake of not taking the classes back-to-back. This doesn’t apply for every case, but I’ve noticed that the students who usually struggle the most are those who take a semester off in between the series (algebra woes aside). I took Calculus 1 over the summer and am currently in Calculus 2. The semester is quickly coming to a close and it has been my easiest class thus far. I attribute this to taking these two classes in quick succession. I urge those who struggle with algebra (like myself) to take the classes back-to-back. But yes, the number one struggle is the algebra, not the concepts.

[joselrnzrodriguez]

Calculus helps improve algebra skills.

[thomaskember]

The algebraic notation tends to obscure the concepts involved in Calculus so that it becomes a game manipulating symbols whithout thinking about what they mean.

[اشکانمحمدی-زث]

You nailed it, sir. I mostly get stuck when the question involves too many algebraic expressions.

[clydeherbert]

I saw the notification panel and was like, “that damn algebra!” Calculus is easy, but god forbid you try reducing something rational under radicals with terms separated with plus or minuses

[plasmashears]

Also, a lot of explanations of calculus are really convoluted or impractical. Also, a lot of calculus assignments are not rooted in real-world applications, so not only are you trying to work out the algebra, but you don't even have an apparent objective you are trying to achieve.

[РайанКупер-эо]

For me it would sound kinda opposite - it's the lack of algebra. But algebra in more abstract sense - set with operations on it's elements.
I really like all kinds of different algebras. I like how they start from the ground up - from constructing a set and operations on it - and from there they build upwards. It gives me feeling of solid foundation, like nothing is left undefined and just assumed. Algebras just feel solid.
Classical calculus isn't defined as some kind of algebra, it uses strange things called "limits", and they are weird. I don't see how it can be described as an algebra. But this only happens if you use something as weird as limits to define calculus. There is other approach - An Infinitesimal Approach. And there we define algebra of hyperreal numbers, and they behave just like normal numbers, there is nothing weird, only numbers and normal operations with them. This makes calculus conceptually easy for me, I can grasp it without feeling that I've left something never proven or stated, only assumed unconsciously.

[rosskious]

You are right that Calculus is easy in of itself. Algebra, Trigonometry, and Geometry are also fairly easy . I believe the issue is learning the concepts one at a time and years apart. Then you have to mix it altogether in a framework to solve a problem. Instead of think in terms of just Calculus sometime you have to think in terms of Calculus, Geometry, Trig and Algebra to solve a math problem in calculus . Just think about the underlying math you use in stokes and green's theorem ( green is the training wheels to get you to stokes) problems.

[isohel]

Yes si, totally! That's what I've realized after studying fundamental calculus for 2 years. But I didn't know it could be said true for calculus in general. Thanks for the info

[GFJDean]

I'd say the algebra is the hard part of differential calculus, but integrals are just hard in and of themselves. I'm sure you all know what I'm talking about!

[brandonmanuel]

Math is like a business/tree
Basic Math>Pre algebra>Algebra 1>Algebra 2>Geometry>Advanced Math>Trigonometry>Calculus 1>Calculus 2>Calculus 3, etc. Then it branches off.

[anummirza]

Thank you so much sir for giving us important information.
you are right sir 100%👍

[siberianstuntman]

Taking calc 1 and I have came to the exact same conclusion towards the end of limits and the start of derivitives. They are easy concepts to understand but it's what we're supposed to remember that messes us up, but a little practice and we're on the ball

[alan_marx]

I agree with you.

The algebra I learned was taught from a limited, utilitarian perspective, as a set of disconnected manipulations. Most of the books I read are also limited to presenting recipes and nomenclatures: Euclid's algorithm, GCD, polynomials etc ...

Teachers, not all, reproduce "ipsis litteris" books and do not explain why or how algebra works.

Thus, the student needs time and experience to understand and organize ideas, meanings and relationships.

The teaching of calculus is not very different from that employed in algebra and is still aggravated by the deficiency that the student has with the necessary tools for calculus.

To make matters worse, we live in an immediatist and segregationist culture, which divides and labels individuals into intelligent and dumb. So, if you don't understand something, it is because you are part of the second group. Nobody questions the teaching methodology, we passively accept, as a fact of nature, that there are the capable and the incapable.