Learn Calculus from Beginner to MIT Level

AI Thread Summary
To effectively prepare for calculus at an MIT level, a structured approach to learning foundational mathematics is essential. Start with Elementary Algebra, then progress to Intermediate Algebra, followed by Trigonometry, and finally Precalculus or College Algebra. Recommended authors for these subjects include Lial, Wright, Aufmann, and Larson, among others. While older textbooks can be just as effective as newer ones, supplementary resources like Khan Academy are highly beneficial for self-paced learning. Emphasis on practice is crucial; utilizing problem sets from reputable syllabi can enhance understanding and retention of concepts.
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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