I really wish I could help out on this one. Unfortunately, this sort of math is one of my weak points
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So lets say that someone wanted to teach themselves enough mathematics to test out of calculus to get a mathematics minor faster. What books would you recommend to said person to study?
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I really wish I could help out on this one. Unfortunately, this sort of math is one of my weak points
Patience has its limits. Take it too far, and it's cowardice. -George Jackson
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Look for anything called "College Algebra" or "Precalculus."
Some topics you'll have to know are:
-Matrices & operations on them
-Roots & their operations
-Binomials
-Quadratic Formula
-Functions
And finally (which is what calculus focuses on from my understanding): Derivatives or the rate of change of a slope
This is all from what I'm taking atm and the teacher keeps mentioning how we'll need to know this all if we go into calculus. But there's enough in the course (that I didn't know going into it) that I suggest you take it first anyhow... but you know your own abilities.
You can actually find quite a lot of information on the internet. I used wikipedia to get me through my A levels haha.
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If you can do a delta-epsilon proof you're all set. The rest is just variations on this theme.
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This will test him out of PREcalculus only. Calculus is more advanced than that.
Here is a great calculus title, easy to understand
Calculus 2nd ed
Munem & Foulis
ISBN 0-87901-236-6
Try one of the large online bookstores, such as Amazon or Barnes & Noble.
Just type in the ISBN #
I found a used copy for less than $10 (it is out of print)
money is to politics as fertilizer is to garden weeds.
just use pauls online math notes lol
Formerly dada
[URL="https://gemeinwesen.wordpress.com/"species being[/URL] - A magazine of communist polemic
If there is something that I recommend it is using the Schuams outlines book and continuously doing problems. Also try out MIT opencourseware, http://ocw.mit.edu/courses/#mathematics. It helps a lot when self-studying. To test your knowledge do some exams, and try some old AP Calculus BC exams (In the United States). They might be available via torrent and don't be afraid to use them if they are from the 1960's (because Calculus hasn't changed much). The only thing which might be difficult to learn on your own would be something like optimization/related rates. When you see something complicated, don't give up just keep working on it and looking at how the book solves the problems. This is especially true for a topic like series, it seems much more difficult than it actually is. If you keep at it you will be fine.
Edit: You should probably also use wolfram alpha if something is confusing and see if you can borrow someone's TI-89 (they're expensive) but very useful. Try to buy a used one. Chances are they will only let you use it on half the test, so don't rely too heavily on it, but make sure you know how to use it.
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Calculus is incredibly easy to learn. I found it easier to learn than most other mathematical fields. Anyways, Amazon had a list of what books to get to learn mathematics, which included a section on calculus. I would recommend finding a good book that is more geared towards the self-taught than a straight textbook. Older textbooks are much better at this, so I would suggest you just go to the library and start there.
And of course if you have any questions post here.
Derivatives are incredibly easy. Partial derivatives look more complicated but they're just as simple. Integrals/partial integrals can get pretty complicated, especially with multiple variables. That is where you will at first have the most trouble. But derivatives are easy.
Derivatives of polynomials, easy
Derivatives of rational functions, not so easy
Derivatives done "by the defintion," (limit of difference quotient) not so easy
AntiDerivatives, can get hard, esp. multivariable, and drawing those xyz graphs/shapes - gadzooks!
BTW every MAC ever built has a 3D graphing calculator as part of the operating system - enjoy!
money is to politics as fertilizer is to garden weeds.
I found all of these easy.
The short-cut derivative and integration rules make things easier. Proper limit formulae, on the other hand...
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True. Can anyone here find dy/dθ sinθ (without consulting a math book, or references?)
money is to politics as fertilizer is to garden weeds.
dont you put that shit in complex plane and then invocate some wild definitions that i dont remember
Formerly dada
[URL="https://gemeinwesen.wordpress.com/"species being[/URL] - A magazine of communist polemic
actually ive never seen a problem like that.
Formerly dada
[URL="https://gemeinwesen.wordpress.com/"species being[/URL] - A magazine of communist polemic
tbh most people dont. i found them alright but to most people calculus is difficult. now one thing is to be able to crunch numbers the other thing is to be able to solve interesting real problems with it ....
Formerly dada
[URL="https://gemeinwesen.wordpress.com/"species being[/URL] - A magazine of communist polemic
http://www.pa.msu.edu/~duxbury/cours...9Solutions.pdf
the avg of this test was a 38/100 btw i got like a 60 so i guess i did good?????????
Formerly dada
[URL="https://gemeinwesen.wordpress.com/"species being[/URL] - A magazine of communist polemic
MIT puts a lot of good stuff from their courses online. Check out their online math courses (there are several relating to Calculus).
Yeah, but they are important foundations to calculus afaik. Also I misread the question a bit.
Isn't the derivative of sin just -cos?
