Can someone be a good data scientist without knowing Calculus?
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Obviously, Statistics is the basis of Data Science, and one must know Calculus to understand Statistics at a deep level. Should We Stop Teaching Calculus In High School?[^]
Akin to trying to understand Shakespeare's works without knowing English grammar. Edit: Just saw that this article is 9 years old. Any policy changes, or changes of opinion since then?
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Obviously, Statistics is the basis of Data Science, and one must know Calculus to understand Statistics at a deep level. Should We Stop Teaching Calculus In High School?[^]
No. Calculus exposes one to the ideas of trends, maxima, minima, limits, etc. All important concepts in data science.
Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.
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Obviously, Statistics is the basis of Data Science, and one must know Calculus to understand Statistics at a deep level. Should We Stop Teaching Calculus In High School?[^]
I never learned calculus. I had a semester of pre-calculus in college, but it was primarily trigonometry and I only remember that I took it. I also had a semester of statistics, which has been more useful. Discrete math and Finite math were also required for CS majors. But I wouldn't call myself a data scientist either. I like working with data and doing some light data analysis, but others are surely better at the heavy stuff than I. Even if I had learned calculus forty years ago, I wouldn't remember it now unless I had been using it all that time, so it wouldn't help very much, I'd have to re-learn it. "A man's got to know his limitations." -- Harry Callahan P.S. Most high school graduates do not need calculus. Or trigonometry. Or Algebra 2. Or geometry. When I graduated high school I had not yet decided to go into software development.
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Obviously, Statistics is the basis of Data Science, and one must know Calculus to understand Statistics at a deep level. Should We Stop Teaching Calculus In High School?[^]
Algebraic statistics formulae are available, not just for the Calculus. At my university they taught both.
There are no solutions, only trade-offs.
- Thomas SowellA day can really slip by when you're deliberately avoiding what you're supposed to do.
- Calvin (Bill Watterson, Calvin & Hobbes) -
Obviously, Statistics is the basis of Data Science, and one must know Calculus to understand Statistics at a deep level. Should We Stop Teaching Calculus In High School?[^]
Maybe. Would learning to become proficient in a language like "R" actually teach the necessary subsets of Calculus used in the statistical packages available through the R libraries? R (programming language) - Wikipedia[^]
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Maybe. Would learning to become proficient in a language like "R" actually teach the necessary subsets of Calculus used in the statistical packages available through the R libraries? R (programming language) - Wikipedia[^]
Not anymore than using a cake mix teaches someone how to bake a cake from scratch.
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Obviously, Statistics is the basis of Data Science, and one must know Calculus to understand Statistics at a deep level. Should We Stop Teaching Calculus In High School?[^]
I found that as the tick interval got smaller, and the corresponding frame rate got higher, all the computing seemed to get simpler. What can happen when you only move (at a rate of) a few pixels at a time?
"Before entering on an understanding, I have meditated for a long time, and have foreseen what might happen. It is not genius which reveals to me suddenly, secretly, what I have to say or to do in a circumstance unexpected by other people; it is reflection, it is meditation." - Napoleon I
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Obviously, Statistics is the basis of Data Science, and one must know Calculus to understand Statistics at a deep level. Should We Stop Teaching Calculus In High School?[^]
Universities would have to change their curriculum based on HS kids not having calc. I went to a small Catholic grade school which didn't get around to algebra by 8th grade. When I went to HS, I was behind a year in math, which means I never got to calc in HS. As a comp sci major at Penn State, I had to take three semesters of physics, starting first sememster. Well, Physics 101 required some calc. Fortunately I had a few friends who taught me enough calc to get by with a decent grade. If universities still expect a calc background leaving HS, this would be a disaster. Fast forward to today where my son is already taking calc as a junior in HS...
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Maybe. Would learning to become proficient in a language like "R" actually teach the necessary subsets of Calculus used in the statistical packages available through the R libraries? R (programming language) - Wikipedia[^]
PIEBALD is right. There's a difference between someone who knows what's going on under the hood and a script kiddie.
The difficult we do right away... ...the impossible takes slightly longer.
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Obviously, Statistics is the basis of Data Science, and one must know Calculus to understand Statistics at a deep level. Should We Stop Teaching Calculus In High School?[^]
swampwiz wrote:
Statistics is the basis of Data Science
It is not clear to me how this statement is connected the posted link. I consider that term to be a specific type of profession/expertise. Certainly one is going to need a level of expertise in mathematics to specialize in Data Science. But looking only at the article... I doubt Calculus in any normal high school is on the standard curriculum path for most students. So it is now and should remain for those that excel in that which came before. In high school statistics should already be introduced in various science classes. And those and least some of them should already be on a standard curriculum path. Not sure that I think that high school students should have a full class on just statistics. Also not clear to me that a class just for programming for the standard curriculum is a good idea either. I also question the implied assertion in the article that all students at a university will be required to take calculus. Googling (briefly) does not suggest that.
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Akin to trying to understand Shakespeare's works without knowing English grammar. Edit: Just saw that this article is 9 years old. Any policy changes, or changes of opinion since then?
Amarnath S wrote:
Akin to trying to understand Shakespeare's works
Not at all. First of course and most important, Shakespeare's works are written in Old English. Which is difficult to understand even for someone that does understand modern english. And of course one doesn't need to be able to parse an english statement to communicate in english. There is also additional contextual information in Shakespeare that one needs to understand which has nothing to do with grammar. Certainly someone who wants to become a university professor specializing in Shakespeare is going to need knowledge in general history, history of the theater and history of that era. Not mention they better know who Bacon is. And that of course has nothing to do with grammar.
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Universities would have to change their curriculum based on HS kids not having calc. I went to a small Catholic grade school which didn't get around to algebra by 8th grade. When I went to HS, I was behind a year in math, which means I never got to calc in HS. As a comp sci major at Penn State, I had to take three semesters of physics, starting first sememster. Well, Physics 101 required some calc. Fortunately I had a few friends who taught me enough calc to get by with a decent grade. If universities still expect a calc background leaving HS, this would be a disaster. Fast forward to today where my son is already taking calc as a junior in HS...
PSU Steve wrote:
As a comp sci major at Penn State...If universities still expect a calc background leaving HS
One would normally presume that to be successful in STEM university program that one should have at least already been excelling in that before. But STEM is less that 20% of university degrees. So attempting to require it all high school students both is not needed and is certain to cause problems for those that are not excelling in the pre-req math in the first place. Might be better to discuss if universities should require all students to take some statistics rather than those that hypothetically require calculus now.
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swampwiz wrote:
Statistics is the basis of Data Science
It is not clear to me how this statement is connected the posted link. I consider that term to be a specific type of profession/expertise. Certainly one is going to need a level of expertise in mathematics to specialize in Data Science. But looking only at the article... I doubt Calculus in any normal high school is on the standard curriculum path for most students. So it is now and should remain for those that excel in that which came before. In high school statistics should already be introduced in various science classes. And those and least some of them should already be on a standard curriculum path. Not sure that I think that high school students should have a full class on just statistics. Also not clear to me that a class just for programming for the standard curriculum is a good idea either. I also question the implied assertion in the article that all students at a university will be required to take calculus. Googling (briefly) does not suggest that.
I apply "data science" when the user says one thing, and the data and/or logs say another.
"Before entering on an understanding, I have meditated for a long time, and have foreseen what might happen. It is not genius which reveals to me suddenly, secretly, what I have to say or to do in a circumstance unexpected by other people; it is reflection, it is meditation." - Napoleon I
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Obviously, Statistics is the basis of Data Science, and one must know Calculus to understand Statistics at a deep level. Should We Stop Teaching Calculus In High School?[^]
A couple of things related to the referenced article: 1. the article is from 2014; world seems to be going the same even if high school curriculum didn't change in the last 10 years. Besides article was referring only to US and high-school curricula vary from place to place. 2. the author wants to introduce both statistics and computer science. As most of us, programming practitioners, would agree, there is no real "computer science"; just a bit of craftsmanship and flavor of the day buzzword(s) - structured, object-oriented, functional, agile, extreme, cloud, as-a-service, etc. In the interest of full disclosure, I hold one of those "computer science" degrees. Uni taught me many things one of them being that computers are not (yet) a science. One more example that maybe we shouldn't give much importance to journalists.
Mircea
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A couple of things related to the referenced article: 1. the article is from 2014; world seems to be going the same even if high school curriculum didn't change in the last 10 years. Besides article was referring only to US and high-school curricula vary from place to place. 2. the author wants to introduce both statistics and computer science. As most of us, programming practitioners, would agree, there is no real "computer science"; just a bit of craftsmanship and flavor of the day buzzword(s) - structured, object-oriented, functional, agile, extreme, cloud, as-a-service, etc. In the interest of full disclosure, I hold one of those "computer science" degrees. Uni taught me many things one of them being that computers are not (yet) a science. One more example that maybe we shouldn't give much importance to journalists.
Mircea
Mircea Neacsu wrote:
computers are not (yet) a science.
Computer science is not programming. Computer science deals with algorithms, complexity, etc., and has a firm basis in mathematics. Programming, on the other hand...
Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.
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Mircea Neacsu wrote:
computers are not (yet) a science.
Computer science is not programming. Computer science deals with algorithms, complexity, etc., and has a firm basis in mathematics. Programming, on the other hand...
Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.
While I see your point, allow me to argue that the vast majority of graduates of "computer science" programs will not practice the Computer Science you are talking about. Also I don't see how Computer Science would be taught at high school level. Nor do I see why it should.
Mircea
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While I see your point, allow me to argue that the vast majority of graduates of "computer science" programs will not practice the Computer Science you are talking about. Also I don't see how Computer Science would be taught at high school level. Nor do I see why it should.
Mircea
Mircea Neacsu wrote:
the vast majority of graduates of "computer science" programs will not practice the Computer Science you are talking about
Agreed. However, a competent programmer will have been exposed to the product of computer science. He/she/it will know algorithms, have some idea of their complexity (time, memory, etc.), and have an idea of when they should be used.
Mircea Neacsu wrote:
Also I don't see how Computer Science would be taught at high school level.
Schools could use it to replace Latin as a subject that requires logic and discipline but is totally useless in the modern world. :)
Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.
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Mircea Neacsu wrote:
the vast majority of graduates of "computer science" programs will not practice the Computer Science you are talking about
Agreed. However, a competent programmer will have been exposed to the product of computer science. He/she/it will know algorithms, have some idea of their complexity (time, memory, etc.), and have an idea of when they should be used.
Mircea Neacsu wrote:
Also I don't see how Computer Science would be taught at high school level.
Schools could use it to replace Latin as a subject that requires logic and discipline but is totally useless in the modern world. :)
Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.
Daniel Pfeffer wrote:
Schools could use it to replace Latin
De gustibus non disputandum est :D
Mircea
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No. Calculus exposes one to the ideas of trends, maxima, minima, limits, etc. All important concepts in data science.
Freedom is the freedom to say that two plus two make four. If that is granted, all else follows. -- 6079 Smith W.
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Amarnath S wrote:
Akin to trying to understand Shakespeare's works
Not at all. First of course and most important, Shakespeare's works are written in Old English. Which is difficult to understand even for someone that does understand modern english. And of course one doesn't need to be able to parse an english statement to communicate in english. There is also additional contextual information in Shakespeare that one needs to understand which has nothing to do with grammar. Certainly someone who wants to become a university professor specializing in Shakespeare is going to need knowledge in general history, history of the theater and history of that era. Not mention they better know who Bacon is. And that of course has nothing to do with grammar.
Am not familiar with any other English author than Shakespeare. Just meant that a knowledge of grammar - verb, noun, adjective, subject, object, preposition, etc. is needed for proper understanding of some long sentences or simple poems. I regularly read long sentences in Sanskrit, Kannada, Tamil, where there is a prescribed method of comprehending a sentence, based on grammar. Without which the sentence can sometimes mean exactly the opposite. In data science also, without proper understanding of calculus principles, methods like gradient descent will only be partially understood. Optimization methods are predominantly calculus based.
