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-   -   sequence of learning mathematics. (http://mymathforum.com/academic-guidance/340921-sequence-learning-mathematics.html)

Anisetty June 15th, 2017 12:30 PM

sequence of learning mathematics.
 
Hello everyone,

this is my first post in this forum, and I would like to know in what sequence should mathematics be learned.

I saw other posts in this forum where people answered that there is no such thing, but I believe that some courses are pre-requisites for other courses and some courses can go alongside other courses.

I finished High school but didn't learn Calculus and had problems with pre-calculus in college. I have failed calculus this semester, and I know that there is some problem with the foundations of my math.
I like to logically get to the answer but what I was doing all these years is to memorize rules and follow.

I am retaking calculus next semester so, I want to know in what order should mathematics be learned in general so I can follow it for advanced mathematics courses also.

Hoping to get helpful replies and resources.
Please ask me for any clarification.

Joppy June 18th, 2017 11:01 PM

If you are taking calculus next semester I would advise you to study your precalc notes. The best way to prepare for new content, is to be comfortable with the old content.

awholenumber June 19th, 2017 07:57 AM

You should take a look at this website .

http://ncert.nic.in/textbook/textbook.htm

Quote:

This online service offers easy access to the NCERT textbooks. The service covers textbooks of all subjects published by NCERT for classes I to XII in Hindi, English and Urdu. The Entire book or individual chapters can be downloaded provided the terms of use as mentioned in the Copyright Notice is adhered to.

And ,

https://2012books.lardbucket.org/boo...nning-algebra/


https://2012books.lardbucket.org/pdf...ng-algebra.pdf

Hope that helps .

Anisetty June 21st, 2017 01:44 PM

I understand that I have to be familiar with Algebra, trigonometry and geometry, but in what order do these lessons make sense?

My precalculus notes are not well explained, as my professor dropped some content form the original book; what I was left with is basic definitions with examples that are too obvious.
Thank you for providing the book links.
I will surely check them out.

Joppy June 22nd, 2017 08:27 PM

Quote:

Originally Posted by Anisetty (Post 573356)
I understand that I have to be familiar with Algebra, trigonometry and geometry, but in what order do these lessons make sense?

My precalculus notes are not well explained, as my professor dropped some content form the original book; what I was left with is basic definitions with examples that are too obvious.
Thank you for providing the book links.
I will surely check them out.

Probably algebra, geometry, trigonometry. But you should be jumping between them as you go.

Anisetty June 25th, 2017 03:01 PM

Quote:

Originally Posted by Joppy (Post 573486)
Probably algebra, geometry, trigonometry. But you should be jumping between them as you go.

I think it would take some hard work to create a good flow chart on what to learn first before the other as it will be a complex graph.

Joppy June 25th, 2017 07:30 PM

Quote:

Originally Posted by Anisetty (Post 573630)
I think it would take some hard work to create a good flow chart on what to learn first before the other as it will be a complex graph.

Perhaps not overly difficult for a master of mathematics. Although things would get hazy at very high levels of math.

In general, there are no good teaching methods or curricula for learning mathematics that i know of. If you want to do well, you just need to work hard and figure out for yourself what to study in what order.

Anisetty June 28th, 2017 04:08 PM

If anyone knows of a map for learning mathematics, please share.

123qwerty June 28th, 2017 07:37 PM

Quote:

Originally Posted by Anisetty (Post 573933)
If anyone knows of a map for learning mathematics, please share.

I think the best map is the prerequisite structure of your school (or any school for that matter, if you're not going to one), which puts the courses offered in a... uh, partially ordered set.

Joppy June 28th, 2017 07:47 PM

Quote:

Originally Posted by 123qwerty (Post 573945)
uh, partially ordered set.

:giggle:


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