Calculus Books with fully solved problems vs just final results?

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The discussion centers on the benefits and drawbacks of books that provide fully solved problems versus those that only offer final answers, particularly in the context of mathematics. Many educators find that books with complete solutions, like Schaum's and REA, are valuable for students who need detailed guidance, especially those struggling with foundational concepts. However, some argue that these solutions may not always represent the best approaches and that students should also learn to develop their own problem-solving strategies. The conversation also touches on the scarcity of such resources and the challenges in finding specific recommendations. Overall, the consensus is that while fully solved problems can be beneficial for learning, they should be complemented by opportunities for independent problem-solving.
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What is your opinion about books with fully solved problems vs just final results?
Advantages and disadvantages?
 
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user079622 said:
My strategy is to take a book with fully solved problems
Not many books around like this, in my experience, which includes teaching lower-division college mathematics for 20+ years.
 
Mark44 said:
Not many books around like this, in my experience, which includes teaching lower-division college mathematics for 20+ years.
Can you suggest a few ?
 
user079622 said:
Can you suggest a few ?
Can I suggest a few books with fully worked problems? No.
Can I suggest a few books with some answers listed in the back? Yes, if you're asking about mathematics books.
You haven't stated what kind of books you're talking about -- mathematics, physics, engineering, whatever.
 
Mark44 said:
Can I suggest a few books with fully worked problems? No.
Can I suggest a few books with some answers listed in the back? Yes, if you're asking about mathematics books.
You haven't stated what kind of books you're talking about -- mathematics, physics, engineering, whatever.
Mathematics
 
robphy said:
I used books like this when I was an undergraduate

https://www.amazon.com/s?k=rea+prob...azon01-20&tag=pfamazon01-20&tag=pfamazon01-20
https://www.amazon.com/s?k=schaums+...azon01-20&tag=pfamazon01-20&tag=pfamazon01-20

It's helpful to see how some problems can be solved.
However, they're not necessarily the best solutions.
Often many solutions can be improved by,
e.g.,
carrying out a methodical approach which could apply to many problems,
offering very different approaches to the same problem.
etc..
Is Rea better than Schaums? Rea dont have authors, who write this?
Why is called Schaum's, german?
 
user079622 said:
Is Rea better than Schaums? Rea dont have authors, who write this?
Why is called Schaum's, german?
Which is better is a matter of taste and what one is looking for.
You have to judge for yourself.... maybe the comments would shed some light.
(When I was an undergraduate, such comments were not available as they are these days on a webpage.)

You can find an unofficial history of Schaum's Outlines at https://en.wikipedia.org/wiki/Schaum's_Outlines
 
I’ve seen REA books, but I don’t recall having ever read one. I think Schaum’s outlines provide both worked out problems and problems with just answers. It did in the ones on physics at least.
 
  • #11
Indeed these are workbook, book usually have theory..
 
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  • #12
user079622 said:
Has Rea all problems fully solved?
1741305816845.png


"Each problem ...."
 
  • #13
Hi :)
I successfully self-educated in algebra using a Schaum's book with several 100 solved problems. This helped me a great deal when I got an opportunity for more formal education.
 
  • #14
In my experience, a workbook with complete solutions is good for someone who is way behind, i.e. knows very little, and is trying to get back in the game. I was helped in this way, by Schaum's, during my first semester back in school, taking the mostly cook-book diff eq course whose prerequisite (basic calculus) I had done poorly in, before being required to leave school and work for a year. As I caught up, such detailed hand - holding material was less necessary, and less useful, and it became better to work out more details and ideas for myself.
 
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  • #15
user079622 said:
Can you suggest a few ?
Schaum's, REA, have fully-solved problems, which gives you the option of just looking at the final answers. If you feel brave-enough, try to scrape the Topology Atlas Q&A board , no longer active and now unsecured. Given they're in .txt format and are barely visited according to the IT team of the hosting site: Yorku in Canada, you may scrape it; I received permission.
 
  • #16
WWGD said:
If you feel brave-enough, try to scrape the Topology Atlas Q&A board , no longer active and now unsecured. Given they're in .txt format and are barely visited according to the IT team of the hosting site: Yorku in Canada, you may scrape it; I received permission.
Is it even online anymore?
1745111652372.png
 
  • #17
renormalize said:
Is it even online anymore?
View attachment 360082
It's not a safe site and it's not managed anymore, so I don't want to provide a link to it here. It's at http:// at.yorku.ca . The IT dept at the host site, York University in Canada. gave me the permission to scrape it "If I could". It's mostly basic text , so hard to hide anything dangerous in it.
 
  • #18
WWGD said:
It's not a safe site and it's not managed anymore, so I don't want to provide a link to it here. It's at http:// at.yorku.ca .
That's exactly where I went and got no response. Does it work for you?
 
  • #20
robphy said:
Great job. Thing is links aren't working. I suspect there may have been some server-end scripts that were run on the fly used, needed, to display the text or maybe even serve the question/requests. Edit: Attn: @Greg Bernhardt : Greg, remember the Topology Atlas site we exchanged about that contained several solved problems, that was hosted by Canada's York U? It was orphaned around 2019 , then "Fathered" ( I guess) at some point , by the Wayback Machine. @robphy was nice-enough to find the Wayback link for us. Thing seems to be that the links are flat, except for the ones that take you from the main site to the individual "subsites". others. I suspect the site is flat because the scripts that opened up the questions lived in the server, rather than client side, and have been lost. Do you think we can make it a project to recreate the server-side links, recreate the missing html links l and maybe host it here or in another site/server; maybe in a subdomain ? I can't do it full time, but maybe we c @GregBernhart , I won't try anything until I get an explicit permission from York U
 
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  • #21
WWGD said:
Thing is links aren't working.
I think this is a wayback machine crawler limitation. I don't see a path forward here unless York wants to hand us the data explicitly.
 
  • #22
Greg Bernhardt said:
I think this is a wayback machine crawler limitation. I don't see a path forward here unless York wants to hand us the data explicitly.
You don't think we can build back end CGI that would mimic the process of fetching and incorporating questions asked into the links? I mean, the site uses just basic .html and .txt; nothing too fancy.
 
  • #23
WWGD said:
You don't think we can build back end CGI that would mimic the process of fetching and incorporating questions asked into the links? I mean, the site uses just basic .html and .txt; nothing too fancy.
I'm not seeing most threads being indexed in the wayback machine. Where do we get the data?
 

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