How can I improve my understanding and memory of algebra for calculus?

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Discussion Overview

The discussion centers around improving understanding and memory of algebra in preparation for calculus. Participants share resources, study tips, and personal experiences related to learning mathematics, particularly focusing on algebraic concepts that are foundational for calculus.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant expresses a desire for resources that provide an overview of algebra rules to aid in learning calculus.
  • Another suggests visiting libraries to explore math books, noting that some content can be interesting even if not directly helpful.
  • A recommendation is made for "The Complete Idiot's Guide to Calculus," which includes algebra and trigonometry content.
  • One participant mentions using "Calc for the Clueless" and expresses excitement about understanding basic material.
  • Several participants discuss the importance of a comfortable study environment, specifically mentioning the impact of a good desk chair on productivity.
  • There is a suggestion that understanding the reasoning behind algebra rules is more beneficial than rote memorization.
  • Some participants share their experiences with the recommended books, noting feelings of needing more prerequisite knowledge before tackling calculus topics.
  • Another participant advocates for studying more advanced texts like Spivak's "Calculus" and critiques the use of "idiot" guides.

Areas of Agreement / Disagreement

The discussion reflects a mix of agreement on the importance of foundational knowledge and study habits, but there are differing opinions on the best resources and approaches to learning calculus and algebra. No consensus is reached on which specific texts or methods are superior.

Contextual Notes

Participants express varying levels of confidence in their mathematical background and the adequacy of the resources they are using. Some mention feeling overwhelmed by the prerequisites for calculus, indicating a potential gap in foundational knowledge.

Who May Find This Useful

Students seeking to improve their algebra skills in preparation for calculus, individuals looking for study tips and resources, and those interested in different approaches to learning mathematics.

Johnnycab
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Im in college and i work like a mad dog, and recently I've been trying my best to learn some extra math on the side, between work, school and friends.

I want to gain the best understanding as possible in mathematics, but i have a some small disorders in my head and all, and my memory aint that good

atm I am beginging to learn how to evaluate limits for calculus after reading a lot of introducory information, but still some of the algebra stuff doesn't want to stick in my head and a need a bit of a refresher. I always find myself going back to relearn things, because i got confused.

Does anyone have articles/hyperlinks that could give me a overveiw of all the rules and laws in algebra that tell you to do this when you have that?
If i can get some good stuff to read I am pretty sure ill get better at remembering, i would just like some good hyperlinks, to good stuff to help me when I am teaching myself the calculus.

thankso:)
 
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In your spare time you could always try going to a library and flipping through math books and dictionaries of mathmatic terms and properties.

OK that might not actually help too much but some of the stuff in those books is actually pretty interesting even though they might not help too much. Math books can actually be pretty fun :]

A tutor might help you re-learn some of those things you have to 'keep going back to' more easily.

'work, school, and friends'?
work, play, sleep. You can only choose two. =]

EDIT: you're older than me so I don't know if you can find my advice too reliable...
 
my time is divided into 40% work, 30% school, 20% play and 10% free time, yes i guessed those :)

-i can always lessen my 20% play time :)
-atm I am searching to forums for good resources, but if anyone still has others id love to accept and read them
 
I would recommend the complete idiots guide to calculus. Not only does it cover most topics in Calculus 1 and 2, but the first 2 chapters are devoted to Algebra and trigonometry. It may be the refresher you're looking for.
 
-LOL that's the book I am using :)
-i just feel that in the chapters before they start with limits i should learn some more material
-i just picked up a second book since i last posted its called

"Calc for the Clueless" by bob miller

Im becoming very excited because i actually understand some of the basic material in the first chapter, and I am looking forward to reading it tommorow before class and till i finish it.

Im thinking of turning learning calculus into my hobby, anyone know any good study habits?:smile:... seriiously though
 
The best study tip is to invest in a good desk chair. I went through the first few years on fold up chairs and couches, and finally went down to office depot and got a nice chair. I spent an hour before I picked the perfect one. I get 4 times as much done in this chair than any other set up.
 
oksanav said:
The best study tip is to invest in a good desk chair. I went through the first few years on fold up chairs and couches, and finally went down to office depot and got a nice chair. I spent an hour before I picked the perfect one. I get 4 times as much done in this chair than any other set up.
You know, there might be something to that. There's a chair in one of the the computer labs that I tend to get lots of work done in. Comfortable enough to keep me there, skinny armrests so I don't just relax, heavy and non-rolling so I don't get up much, but roomy enough so it's not inconvenient to reach sideways for stuff without moving.
 
Johnnycab said:
Does anyone have articles/hyperlinks that could give me a overveiw of all the rules and laws in algebra that tell you to do this when you have that?
One piece of feedback that might or might not be useful to you is that in math you would not want to memorize the rules just as facts and then when confronted with a problem memorize which rule to use.
Instead you would want to understand why the rules are the rules and be able to derive these rules. With such an understanding you will be able to apply them in solving problems without memorization.
 
  • #10
thank y'all :!)
 
  • #11
Johnnycab said:
-LOL that's the book I am using [complete idiots guide to calculus] :)
-i just feel that in the chapters before they start with limits i should learn some more material

I used that book in addition to my textbook, and I felt the same way. Once I started reading it I felt like I should already know so much more pre-req stuff. But don't worry. Just keep going forward and you will pick up most the stuff you missed on the way. At least that's how its worked for me so far.
 
  • #12
If you want to learn single variable calculus properly, study Calculus by Spivak. There is no other substitution, forget stewart or any of the applied texts.
 
  • #13
i agree with the spirit of serenity's mesaage. you are not an idiot, so why read a book for idiots.

try calculus for intelligent persons, or persons who aspire to become intelligent persons.


try

1) calculus made easy, by sylvanus p thompson

then if that is too easy,

try

2) thomas, calculus, not thomas and cooke or finney, just thomas.

then if that is too easy,

try 3) spivak's calculus.

if that is too easy, which id oubt, try

4) dieudonne's foundations of modern analysis.

if that is too easy, you will certainly get you an appointment to a top school.
 

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