I want to learn calculus on a budget

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Discussion Overview

The discussion revolves around recommendations for learning calculus, particularly for individuals on a budget. Participants share various resources, including online courses, textbooks, and free educational platforms, while addressing the needs of those with limited prior math experience, such as biology majors. The conversation includes suggestions for both comprehensive and targeted learning materials.

Discussion Character

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

Main Points Raised

  • One participant expresses concern that a course with only 16 videos may not adequately cover all of calculus 1.
  • Another suggests starting with available resources and supplementing them as needed, mentioning that many calculus books can be found for free.
  • A participant recommends Coursera for various calculus courses, noting that some may not require payment.
  • Multiple suggestions for free resources include Khan Academy and mathispower4u.com, both of which offer short, comprehensive videos.
  • Some participants propose looking for textbooks specifically designed for life sciences, which may be less rigorous and more applicable to their backgrounds.
  • Professor Leonard's YouTube courses are recommended as a valuable resource for learning calculus.
  • One participant mentions calculusworkshop.com as a paid option with effective teaching methods.
  • There is a discussion about the motivations for learning calculus, with some participants emphasizing personal fulfillment rather than career advancement.
  • Several participants share their age and life circumstances, indicating a desire to learn calculus for personal growth rather than professional change.
  • Book recommendations include Thomas' Calculus and works by Edwin E. Moise and Morris Kline, with varying opinions on their suitability for different learners.

Areas of Agreement / Disagreement

Participants generally agree on the availability of various resources for learning calculus, but there are differing opinions on the best approaches and materials. The motivations for learning calculus also vary, leading to a mix of personal and practical perspectives.

Contextual Notes

Some participants express uncertainty about the adequacy of certain online courses and the depth of content covered in brief video formats. There is also a recognition that personal circumstances, such as work schedules, may affect the ability to dedicate time to studying calculus.

Who May Find This Useful

This discussion may be useful for individuals seeking affordable options to learn calculus, particularly those with a background in biology or limited prior math experience, as well as those interested in personal enrichment through mathematics.

  • #31
MidgetDwarf said:
Just wanted to make a slight correction. The edition of Thomas Calculus with Analytic Geometry is the third edition. I believed I had typed it above, but I didn't, and I can no longer edit the above post.

Calculus With Analytic Geometry is different than a regular Calculus 1, 2, or ven 3 book. Yes?
If not, what is the difference?
 
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  • #32
nycmathguy said:
Calculus With Analytic Geometry is different than a regular Calculus 1, 2, or ven 3 book. Yes?
If not, what is the difference?
Concise, straight to the point, and clear. It is not cluttered by many diagrams on a page. Each diagram is memorable, and conveys the information in a lucid manner. Nice explanation of the Theorem of Pappus, Shell-Method. Uses analytic geometry to give an explanation of how these ideas make sense, and fit together. Gives a person an intuitive explanation of the calculus, something the run of the mill calculus books do not..Here is another example. The 3rd edition of Thomas goes through the derivation of trig identities. Something Stewart does now. Which can be useful when taking a course in ordinary differential equations, but you don't remember the common trig identities. However, you learned a simple derivation of them...
 
  • #33
there's usually two levels of Calculus for college
- 1,2,3 version for 1st year college students
- Advanced Calculus for complex analysis for science and engineering students.
 
  • Informative
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  • #34
nycmathguy said:
I have a David Cohen precalculus book.

I have a Ron Larson precalculus book.

I have a Michael Sullivan & Kathleen Miranda.
The Ron Larson book is (by experience) very good. I am unfamiliar with any of the others you listed. I have used the/a Larson precalculus book for my own review study.
 
  • #35
nycmathguy said:
Calculus With Analytic Geometry is different than a regular Calculus 1, 2, or ven 3 book. Yes?
If not, what is the difference?
No. Not typically. What is any particular Calculus book omitting?

jedishrfu in post #33 has a clearer understanding. If in doubt, check that posting.
 
  • #37
jedishrfu said:
Heres an Advanced Calculus from Harvard it looks a bit different the Kaplan book I used but things change and so do books

http://people.math.harvard.edu/~shlomo/docs/Advanced_Calculus.pdf

in my Adv Calculus we spent a lot of time Calculus of a Complex variable but I see in the Kaplan table of contents there are chapters similar to the Harvard book.

I am a novice calculus self-study enthusiast. Looking through an advanced calculus textbook will confuse me more.
 
  • #38
You asked about their differences. We didn't tell you to go out and study the advanced stuff.

You need to now walk the walk and stop talking about it. So far, you've a gotten a lot of good suggestions to investigate and then decide a course of action for yourself. Continuing to talk about what you'd like to do is no longer productive.
 
  • #39
Well I guess we have reached the point of closing this thread now. We have provded many resources for the OP and so its a good time to close it.

Thank you all for contributing here.

Jedi
 

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