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Calculus is the heart of applied mathematics, but US students aren’t prepared for it
American Thinker ^ | 11 Feb, 2025 | Molly Slag

Posted on 02/11/2025 4:13:51 AM PST by MtnClimber

Unless young students learn the predicate mathematics for calculus, our nation will grind to a halt.

While Democrats focus on the liberal arts, which train students to be leftist activists beginning in grade school, it is the STEM studies that keep America functioning. As students ascend that ladder of mathematical logic, calculus becomes central to their ability to maintain our systems and invent new ones. Sadly, though, our schools are failing students, not just in teaching calculus but in teaching everything preceding calculus.

It is widely recognized among today’s undergraduates that the STEM field is at once among the most rewarding and the most challenging, promising well-compensated employment in the future while also demanding devotion and consistent concentration in the present.

A principal source of the demanding nature of the STEM curriculum is its solid mathematical core, the centerpiece of which is calculus, a cause of both delight and frustration for generations of college students.

Calculus, the mathematical analysis of change of continuous functions, was invented in the late 17th century by both Isaac Newton and Gottfried Leibniz, who were working independently of each other. Because Newton’s notational system was awkward and inconvenient, whereas the Leibniz notational system was intuitively appealing and easy to use, it is the Leibniz notation system that is in use today.

Because of the hierarchical structure of the topics in STEM, in which mathematics explains computer science and physics, physics explains chemistry, and chemistry explains biology, calculus finds itself cast in the role of the gatekeeper to STEM. And with that gatekeeper role in mind it would be highly illuminating to be a mouse in the corner of the first quarter college calculus classroom as the professor brings the daily class to a close.

(Excerpt) Read more at americanthinker.com ...


TOPICS: Education; Society
KEYWORDS: arth; astronomy; engineering; physics; science; stringtheory
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To: MtnClimber

Calculus teaches about the physical world around us and not just approaches to math problems. When working complex issues using computer software it quickly shows who in room does not have an engineering education.


41 posted on 02/11/2025 5:12:03 AM PST by CodeToad ( )
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To: jpsb
Calculus1->slope

Calculus2->area

Calculus3->volume

DiffYQ -> nobody knows how EVERYTHING in the world works

42 posted on 02/11/2025 5:14:53 AM PST by ALPAPilot
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To: MtnClimber

If students weren’t forced to take all those useless DIE liberal classes where would all those liberals with useless degrees and blue hair get jobs. Blame the teachers for being dumb too. They are getting rid of AP math courses because few teachers know maffs.


43 posted on 02/11/2025 5:15:12 AM PST by Organic Panic (Democrats. Memories as short as Joe Biden's eyes)
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To: jpsb

Diffyq>freqeuncy.


44 posted on 02/11/2025 5:17:45 AM PST by outpostinmass2
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To: MtnClimber

I tell my family youngsters that the more math you know, the less people can trick you.


45 posted on 02/11/2025 5:23:30 AM PST by fruser1
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To: Migraine
Your question is about applying calculus. I have a real world use of not calculus, but computational modeling (numerical modeling, not 3-d graphing), which I had to take as a senior for the network programming specialization in my BS of CS.

I thought I’d never use it, but wound up doing something pretty close to it 4 years ago when I studied the possible combinations and patterns from historical weather records in my area, how that changes across the months, and how that matches up with my power consumption habits each month. I did that to determine if decentralized solar would be good for my situation, knowing I couldn’t trust any “study” I read on such a politically slanted subject before I spent money on it.

Now that I have 4 years experience with solar, including studying my inverters’ telemetry recorded every 5 minutes, I can assure you that it works great for me but wouldn’t for most people (without being cost prohibitive). And now that the grunt work is figured out, there’s an easy algorithm to use if someone else is considering it, without having to do the deep dive I did. It’s somewhat analogous to our predecessors using calculus to prove the Pythagorean theorem, so now we can apply it with simple arithmetic and a little algebra.

46 posted on 02/11/2025 5:25:55 AM PST by Tell It Right (1 Thessalonians 5:21 -- Put everything to the test, hold fast to that which is true.)
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To: Organic Panic

Increasingly, rather than take an AP math course, the High School students take the course at a local community college. That applies to not only math but a whole host of courses such that over 4 years, the student graduates with a high school diploma and also an Associates degree from the community college.


47 posted on 02/11/2025 5:28:09 AM PST by bert ( (KE. NP. +12) Where is ZORRO when California so desperately needs him?)
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To: MtnClimber

Had 3 semesters of it. And one of DiffEq. And, in grad school, I had numerical analysis and advanced engineering mathematics.

Learn to code? Learn to integrate.


48 posted on 02/11/2025 5:30:31 AM PST by sauropod (Make sure Satan has to climb over a lot of Scripture to get to you. John MacArthur Ne supra crepidam)
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To: MtnClimber; SunkenCiv; Rennes Templar

What can we.. derive from this?

calqueulus — an Ancient Greek word meaning that it will all line up for us.


49 posted on 02/11/2025 5:32:00 AM PST by Ezekiel (🆘️ "Come fly with US". 🔴 Ingenuity -- because the Son of David begins with MARS ♂️, aka every man)
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To: MtnClimber

During my career I had to use calculus periodically when compounding drugs and interpreting the bioavailablily of certain drugs in different animals due to the pH levels in the digestive system....gave me a headache.


50 posted on 02/11/2025 5:33:17 AM PST by vetvetdoug
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To: Migraine

Calculus is the only way engineers can solve non-linear problems.

Simple example, if a train is moving at constant speed, simple arithmetic can solve at what time it will reach the station.

However if water is leaking from a tank depending on volume of water remaining at any instant, you need calculus to determine when the tank will be empty.

I worked on designing machines subjected to highest impact loads in the world. It was for cold extrusion of steel for auto parts mostly in mass production. It needed severe shock absorbers to sustain supporting structures. Calculus came in handy to design the shock absorbers.


51 posted on 02/11/2025 5:33:31 AM PST by Bobbyvotes (I am in mid-80's and I am entittled to my opinions LOL)
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To: Maine Mariner

No. Students mostly do not apply themselves and parents force teachers to give passing grades anyway.


52 posted on 02/11/2025 5:38:56 AM PST by GingisK
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To: Organic Panic
...all those useless DIE liberal classes ...

Please name those classes.

53 posted on 02/11/2025 5:40:40 AM PST by GingisK
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To: GingisK

Yes that as well.


54 posted on 02/11/2025 5:42:31 AM PST by Maine Mariner
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To: MtnClimber

Isn’t it enough that they have mastered co0rrect condom placement in the dark??


55 posted on 02/11/2025 5:43:31 AM PST by eyeamok
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To: T.B. Yoits

So true


56 posted on 02/11/2025 5:44:34 AM PST by shotgun
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To: norwaypinesavage

I knew some EEs who used Differential Equations when they were designing power distribution systems.


57 posted on 02/11/2025 5:46:03 AM PST by shotgun
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To: MtnClimber; 6amgelsmama; 100American; AAABEST; aberaussie; AbolishCSEU; AccountantMom; ...

ANOTHER REASON TO HOMESCHOOL

This ping list is for the other articles of interest to homeschoolers about education and public school. This can occasionally be a fairly high volume list. Articles pinged to the Another Reason to Homeschool List will be given the keyword of ARTH. (If I remember. If I forget, please feel free to add it yourself)

The main Homeschool Ping List handles the homeschool-specific articles. I hold both the Homeschool Ping List and the Another Reason to Homeschool Ping list. Please freepmail me to let me know if you would like to be added to or removed from either list, or both.

58 posted on 02/11/2025 5:46:26 AM PST by metmom (He who testifies to these things says, “Surely I am coming soon." Amen. Come, Lord Jesus)
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To: MtnClimber

I’ve heard that Kamala loves using slopes and pie charts when promoting new issues in front of an audience.
I believe that’s from basic algebra.


59 posted on 02/11/2025 5:49:07 AM PST by lee martell
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To: metmom

This is not a snide rhetorical question, but a quest for information: How do you teach something you don’t know, especially when it is deeply technical?


60 posted on 02/11/2025 5:51:17 AM PST by GingisK
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