I would really like to get a jump on calculus before next semester

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    Calculus Jump Semester
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Discussion Overview

The discussion revolves around recommendations for calculus textbooks suitable for someone looking to prepare for a calculus course. Participants share their experiences with various texts and express preferences for in-depth and rigorous materials.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks a calculus book that is in-depth and rigorous, avoiding beginner-friendly texts like "Calculus for Dummies."
  • Another suggests purchasing an older edition of Thomas' calculus book as a cost-effective option, arguing that newer editions may not necessarily be better.
  • A participant inquires about the quality of Michael Spivak's book, with some indicating it may be challenging for beginners.
  • There is a discussion about the appropriateness of Spivak's book for first-year calculus students, with some suggesting it is not commonly used in standard courses.
  • Another text, "Calculus" by Tom Apostol, is recommended for its rigorous approach, with some participants asserting it is suitable even for beginners.
  • A participant expresses confusion regarding a calculus-related task involving temperature data and requests assistance, indicating a need for help with calculus concepts.
  • One participant mentions learning from MIT's OpenCourseWare calculus class as a valuable resource, noting it is free and can supplement textbook learning.

Areas of Agreement / Disagreement

Participants express a range of opinions on the suitability of various calculus textbooks, with no consensus on a single recommended text. Some participants agree on the value of Apostol's book, while others debate the challenges posed by Spivak's work.

Contextual Notes

Participants' recommendations depend on their personal experiences and may vary based on individual learning preferences and backgrounds. The discussion includes references to specific editions and the perceived rigor of different texts.

Who May Find This Useful

This discussion may be useful for students preparing for calculus courses, educators seeking textbook recommendations, and individuals interested in self-study resources for calculus.

Miike012
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I would really like to get a jump on calculus before next semester when I take calculus... The calc book that I am currently reading is ... https://www.amazon.com/dp/0486404536/?tag=pfamazon01-20 . I want another calc book to read to. I don't want calculus for dummies or any book like that... I rather have a book that goes indepth..
 
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Go to EBay or a used bookstore someplace and buy an out of date older version of something like Thomas' calculus book. Should be dirt cheap and plenty good enough. Newer isn't better.
 


I hurd of a book by Michael Spivak... is that good?
 


The reason why I don't want to just go buy a book is because I did that... I bought a calc textbook ( an older one ) and it isn't indepth... and the other book that I showed you is a more indepth but I want something harder.
 


I learned from Stewart's book, I thought it did a good job. Have you looked at that one?
 


Thats the book our school uses... I have not looked through it. My guesses are it will probably be the same as the textbook I have ... but Ill take a look...
 


Miike012 said:
I hurd of a book by Michael Spivak... is that good?

You mean "heard". Yes, Spivak's book is excellent, but depending on your abilities at this stage you may find it more of a challenge than you want.
 


Did you start off with a book as hard as Spivaks? or something easier?
 


Miike012 said:
Did you start off with a book as hard as Spivaks? or something easier?

Who, me? Use the quote button to make it clear to whom you are addressing the question.

If you are asking me, I took calculus before there was a Spivak book and didn't encounter a deep analysis until I took advanced calculus out of Louis Brand's book as a Junior.
 
  • #10


LCKurtz said:
Who, me? Use the quote button to make it clear to whom you are addressing the question.

If you are asking me, I took calculus before there was a Spivak book and didn't encounter a deep analysis until I took advanced calculus out of Louis Brand's book as a Junior.

Sorry, I thought it was obviouse since we are the only ones in here having a conversation...

So your saying that Michael Spivaks book is really that hard ?
 
  • #11


Miike012 said:
Sorry, I thought it was obviouse since we are the only ones in here having a conversation...

So your saying that Michael Spivaks book is really that hard ?

You mean "you're". I don't know of any University that used Spivak for their standard first calculus course but that doesn't mean some didn't. It simply wasn't a standard text because most professors would agree that it isn't designed for the general first year calculus audience.

That isn't to say that you wouldn't benefit by it. It might be just exactly what you are looking for if you think the standard texts are not rigorous enough.
 
  • #12


Another text if you want a really careful presentation is the classical older text "Calculus" by Tom Apostol. Probably available in your campus library.
 
  • #13


Thanks LCkurtz, I will have to look into both of those books.
 
  • #14


I'd like to second the recommendation for Apostol's Calculus. It's a good book even for the beginner. It essentially assumes you know nothing about calculus and builds it completely up from the ground while at the same time being quite rigorous
 
  • #15


JaluNelly said:
hey guys, I really need help as soon as possible with this task
t (days)
0
3
6
9
12
15

w(t) (degrees Celsius)
20
31
28
24
22
21
the temperature, in degrees Celsius, of the water in a pond is a differentiable funcition W of time t. The table above shows the water temperature as recorded every 3 days over a 15-day period.

use data from the table to find an approximation for W'(12). Show the computations that lead to your answer. Indicate units of measure.

I am sooo lost :'(
Please, can anybody help me?
Start a new thread.

To OP:
I learned a lot from MIT's OpenCourseWare calculus class. It's free. It doesn't cover everything, but what is taught by the book the real class requires, can easily be learned from Wikipedia.
 

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