Learn Calculus from Beginner to MIT Level

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Discussion Overview

The discussion revolves around recommendations for learning calculus from a beginner level to a proficiency suitable for MIT. Participants explore various resources, including books and online platforms, to facilitate this learning journey.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant suggests starting with Elementary Algebra and progressing through Intermediate Algebra, Trigonometry, and then Precalculus or College Algebra before tackling single variable Calculus.
  • Another participant emphasizes the importance of understanding the material thoroughly and not rushing through the relearning process.
  • Several participants request specific book recommendations for each stage of learning, mentioning various authors and textbooks that could be beneficial.
  • Khan Academy is recommended by multiple participants as a valuable resource for learning math concepts from the ground up, including calculus.
  • There is a suggestion that practice is crucial, and finding problems to work on is essential for mastering the material.

Areas of Agreement / Disagreement

Participants generally agree on the importance of a structured learning path and the value of both textbooks and online resources like Khan Academy. However, there is no consensus on specific book recommendations, as different participants mention various authors and resources.

Contextual Notes

Some participants note that older textbooks can be just as effective as newer ones, but this is not universally accepted. The discussion does not resolve which specific books are the best choices, leaving it open to personal preference and experience.

Who May Find This Useful

This discussion may be useful for individuals seeking to build a strong foundation in mathematics before advancing to calculus, particularly those interested in preparing for rigorous academic programs like those at MIT.

arjen1984
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Hello all,

Lets say I want to start all over again learning calculus from beginning till the level I can start on MIT. What books should I buy to get to know all the knowledge to start on MIT?

I hope someone can give me tips on this.

Arjen
 
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How are you at intermediate algebra and how is your basic trigonometry knowledge?
 
lets just say its all very beginners level
 
In that case, start over at Elementary Algebra and work upwards. You can do most or all of this on your own. Don't be skimpy in the relearning process. Try hard to understand. Do in this order or nearly this order: Elementary Algebra, Intermediate Algebra, Trigonometry, then either "Precalculus" or "College Algebra". Now you would be ready for single variable Calculus (Calculus 1).

Know that some people like to skip the College Algebra, or even skip the "Precalculus". About how good doing is for advice, unclear.
 
yes, this is what i knew already, but I want a book recommandation. You know what books are good for this learning, so pls tell me what books you recommend.
 
arjen1984 said:
yes, this is what i knew already, but I want a book recommandation. You know what books are good for this learning, so pls tell me what books you recommend.

Some good authors of Algebra 1 and Algebra 2 to look for are: Lial' Lial & Miller; Wright & New; Aufmann & Barker; Drooyan; Perez & Weltman, ..., others I can't remember. Old books, like 30 years old, are very often just as good as newer ones.

For Precalculus, Trignometry, and College Algebra, you can add to the list above, Larson & Hostetler; or Larson, Hostetler & Edwards.

You might find great books by other authors, also.
 
Khan Academy!
 
kinof said:
Khan Academy!

x2

You can Khan Academy your way up from zero math knowledge to pre-calculus in a short period of time. It's good for Calculus I too, but you should also use some other sources there, like a textbook. Same thing with trigonometry, you might want to get a book or use another source.

An important thing is practice. You have to find problems and practice them. If you can find a syllabus that has homework problems from a good book you should be golden. Just google search for Classname + .edu
 

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