Learn Calculus from Beginner to MIT Level

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SUMMARY

To learn calculus from a beginner level to MIT standards, start with foundational courses in Elementary Algebra, Intermediate Algebra, and Trigonometry, followed by Precalculus or College Algebra. Recommended authors for Algebra include Lial & Miller, Wright & New, and Aufmann & Barker. For Precalculus and Trigonometry, consider Larson & Hostetler or Larson, Hostetler & Edwards. Utilize resources like Khan Academy for supplemental learning, but prioritize practice through problem-solving and textbook exercises.

PREREQUISITES
  • Elementary Algebra
  • Intermediate Algebra
  • Trigonometry
  • Precalculus or College Algebra
NEXT STEPS
  • Research textbooks by Lial & Miller for Algebra 1 and 2
  • Explore Khan Academy for structured learning in mathematics
  • Find a syllabus with homework problems for practice
  • Study Larson & Hostetler's materials for Precalculus and Trigonometry
USEFUL FOR

Students aiming to master calculus, educators seeking structured learning paths, and self-learners looking to build a strong mathematical foundation before tackling advanced topics.

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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