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Conversational Calculus
A powerful tool demystified for all interested parties.
Created on 2008-02-28 08:09:21 (#15039909), last updated 2008-03-24
3 comments received, 15 comments posted
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Basic Info| Name: | Dr. Calculus |
|---|
BioHello.
I have been a maths tutor for a number of years now and I specialise in calculus. When I first took the calculus sequence I did struggle with a lot of the ideas. I also thought that it was the be all and end all of mathematics (as many people do who haven't been exposed to calculus yet). Well, now it's all pretty intuitive to me, and the students that I work with seem to greatly appreciate my intuitive explanations of different concepts. I'm pretty busy now with studying for the actuarial exams, but I hope to regularly take time out to make posts of my conversational explanations that I think will help people that are struggling with calculus.
For referance, I'll be using two textbooks to help me get an idea of what concepts that I need to cover and a good order in which to cover them. I might also steal a few example problems.
First, the horrible piece of pedagogy that I was subjected to:
Calculus with Analytic Geometry, by Larson, Hostetler, and Edwards. 1998 edition by Houghton Mifflin Company.
Also, another textbook that I have lying around:
College Calculus with Analytic Geometry by Protter and Morrey. 1964 edition by Addison-Wesley Publishing Company, Inc.
Some of my explanations might mirror those given in other books, simply because I used them myself and took the ideas with me. The only one that I can think of off hand is How to Ace the Rest of Calculus: The Streetwise Guide: Including Multi-Variable Calculus by Colin Adams, Abigail Thompson, and Joel Hass. If I remember that something I am saying is a restatement of some of the ideas in that book (which won't come along till much later) then I'll try to make note of that fact. I do highly recommend that book, btw.
One book that I do not recommend, which seems to enjoy enormous popularity since it's publication back in the 1930s, is Calculus Made E-Z. I guess that some people like it, but the explanations say a lot of things that are false. To each his or her own.
No matter what your reason is for learning calculus, I wish you the best of luck, and I hope that my explanations can help you.
I have been a maths tutor for a number of years now and I specialise in calculus. When I first took the calculus sequence I did struggle with a lot of the ideas. I also thought that it was the be all and end all of mathematics (as many people do who haven't been exposed to calculus yet). Well, now it's all pretty intuitive to me, and the students that I work with seem to greatly appreciate my intuitive explanations of different concepts. I'm pretty busy now with studying for the actuarial exams, but I hope to regularly take time out to make posts of my conversational explanations that I think will help people that are struggling with calculus.
For referance, I'll be using two textbooks to help me get an idea of what concepts that I need to cover and a good order in which to cover them. I might also steal a few example problems.
First, the horrible piece of pedagogy that I was subjected to:
Calculus with Analytic Geometry, by Larson, Hostetler, and Edwards. 1998 edition by Houghton Mifflin Company.
Also, another textbook that I have lying around:
College Calculus with Analytic Geometry by Protter and Morrey. 1964 edition by Addison-Wesley Publishing Company, Inc.
Some of my explanations might mirror those given in other books, simply because I used them myself and took the ideas with me. The only one that I can think of off hand is How to Ace the Rest of Calculus: The Streetwise Guide: Including Multi-Variable Calculus by Colin Adams, Abigail Thompson, and Joel Hass. If I remember that something I am saying is a restatement of some of the ideas in that book (which won't come along till much later) then I'll try to make note of that fact. I do highly recommend that book, btw.
One book that I do not recommend, which seems to enjoy enormous popularity since it's publication back in the 1930s, is Calculus Made E-Z. I guess that some people like it, but the explanations say a lot of things that are false. To each his or her own.
No matter what your reason is for learning calculus, I wish you the best of luck, and I hope that my explanations can help you.
ConnectInterests (31):
arc length, area, bloody impossible, calculus, chain rule, conic, delta, derivative, differentiation, disc method, epsilon, function, integral, liebnez, limit, math, mathematics, maths, natural log, newton, polar, product rule, quotient rule, rectangular, sequence, series, shell method, slope, vector, volume, washer method
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