Why Is Calculus Personal for Me?

  • #1
OldDogNewTricks
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How did you find PF?: I was randomly searching the net for info on calculus books for self study, found a math reddit that brought me here.

I'm 65. Not working since 2000. In HS, 9th Algebra 1 = A, 10th Geometry/Trig =A, 11th, Algebra 2= D, (long story)....so no Calculus in Sr yr. Through college my engineering was technical and so not calculus based. AAS Mechanical/Piping design Technology, AAS Industrial Engineering Tech, BAS Technical Engineering/Management.Eventually got to a watered down Calculus course (s) at U of D that was the 221/222 level, not the solid 241/242/243 sequence. Seemed to easily grasp the non-calculus based physics courses (Prof removed me from curve as it was failing most of the class) But it's been a very long time since I did math/physics or anything related to engineering....I must have gone insane, went to law school and ended up practicing law for several years...not doing patent work....doing bankruptcy and criminal defense...go figure.
 
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  • #2
One source of good books for review-self-study purposes is used books sales, like from public libraries. Take yourself through courses to reach up to Calculus in a reasonable sequence. Algebra 1, Algebra 2, Trigonometry (find a dedicated book), and then Pre-Calculus (which often a combination of College Algebra and Trigonometry). You MIGHT want to use community colleges courses as an enrolled student. If you do try through going to school, that much may take you maybe three or four semesters. When those courses you have handled, you would be ready for Calculus And Analytic Geometry 1.

You have been out of school for some or many years? That's why I recommend reviewing, either on your own or as a formal student.

I did not say anything about Geometry course. Why? Let some other interested forum members debate this. If you WANT that course, then include it!
 
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I finished HS in 1976, I figure I have about 30 yrs to go based on family genetics and retirement is well....boring.
Last did math/physics/engineering in 1989.

Never took the real calculus courses, just watered down versions.
Last at the library, picked up Barron's books, one on geometry and one on pre-calculus. Didn't see a Trig or algebra books on the shelves. Was planning to read thru the Geometry then attempt the pre-calculus to see how I fared. I'll check another library for some algebra/trig books and put them before the Geometry.

I had no problems with Algebra 1, geometry/trig in HS or the tech math 1-4 at the community college when I was there. All grades were A's. The watered down Calc of 221/2 were A and C (medical issues that semester)
The 11th grade Algebra 2 grade of a D was from a poor class....seat was at steep angle to the chalk board, the 2 class screwoffs sat at my table and adjacent to our table was a working flight simulator....yes it ran during class....that was in 1974/5 and that sucker was noisy.

If I failed and took summer school I could have taken the Sr class Calculus (equivalent to calculus 1-2-3 at the local university.) I should have taken the summer school anyway....the Sr calc class teacher was very good...a friend that took that course the year before me, got to University and tested out of Calc 1-2-3 and settled in for ODE. Opportunity missed.

So now, I need to knock off the rust, find my holes and fix them. I'd prefer to self-studying at home for the rust/repair. I do have the option to attend any class in state at a state college/university for free on tuition as I'm over 60.

Books I've found free or cheap so far are:
Precalculus, Sullivan, 3rd ed.
Calculus, Stewart, 2nd ed.
Calculus early transendentals, Anton, 9th ed.
Calculus the easy way, 2nd ed. Barron's ed series
Calculus & it's applications, study guide, Goldstein
Differential Equations, Schaum's outline
Linear Algebra, Schaum's outline
Elementary Analysis: The Theory of Calculus, Ross
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Total expenditure = $27

As I'm "retired" for now....I can spend endless hours on getting the math skills up to snuff. I'm gonna need them for the Physics.

Thanks!
 
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Thanks....I will check out both links after dinner this evening. A cursory skim, looks like a lot of interesting material. Thank you.
 
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FAQ: Why Is Calculus Personal for Me?

Why did you choose to study calculus?

Calculus intrigued me because of its profound applications in understanding and describing the natural world. It provides the tools to model dynamic systems, which is essential in physics, engineering, and even economics. The elegance of its concepts and the power of its methods made it a natural choice for my studies.

How has calculus impacted your professional work?

Calculus has been fundamental in my research and professional activities. It allows me to analyze data, model complex systems, and solve problems that would otherwise be intractable. Whether I'm working on differential equations in physics or optimizing functions in engineering, calculus is an indispensable tool.

Can you describe a personal experience where calculus made a significant difference?

One memorable instance was during a research project on fluid dynamics. Using calculus, I was able to derive equations that accurately predicted the behavior of fluids under various conditions. This not only advanced the project significantly but also reinforced my appreciation for the practical power of calculus.

What is your favorite concept in calculus and why?

My favorite concept in calculus is the Fundamental Theorem of Calculus. It beautifully connects the seemingly disparate concepts of differentiation and integration, showing that they are essentially inverse processes. This theorem is a cornerstone of calculus and exemplifies the unity and coherence of mathematical principles.

How do you make calculus engaging and personal for your students or peers?

I strive to make calculus engaging by relating it to real-world problems and applications that are relevant to my students' interests and future careers. By demonstrating how calculus can solve practical issues and by sharing my own enthusiasm and experiences, I aim to inspire others to see the subject's value and beauty.

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