Where should I start in calculus for differential equations?

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SUMMARY

The discussion centers on starting calculus, specifically differential and integral calculus, as a prerequisite for understanding differential equations. A recommended primary resource is "First Course in Calculus" by Morris Kline, which emphasizes practical calculus concepts such as integrals, derivatives, and series without delving deeply into complex background theories. Secondary resources include "Counterexamples in Calculus" and online platforms like Khan Academy, Paul's Notes, and MIT OpenCourseWare, though these should not be the primary learning tools.

PREREQUISITES
  • Understanding of algebra and trigonometry
  • Familiarity with basic calculus concepts such as functions, relations, and limits
  • Ability to grasp derivatives and integrals
  • Basic knowledge of mathematical rigor and theory
NEXT STEPS
  • Read "First Course in Calculus" by Morris Kline
  • Explore "Counterexamples in Calculus" for deeper insights
  • Utilize Khan Academy for supplementary video lessons
  • Study Paul's Notes for additional practice problems and explanations
USEFUL FOR

Students beginning their journey in calculus, educators seeking structured resources for teaching calculus, and anyone preparing for differential equations.

darknoob
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hi there I am new here!..

i just want to ask question about getting started with calculus (differential/integral)..
ive started algebra and trigonometry a year ago and i love doing math exercises they say that calculus is hard but i don't believe them.. i want to start doing calculus, but i don't where to start, i read a little about calculus just the concepts,. functions,relations,derivatives,limits and so on..

i just need advice where should i start in calculus(differential and integral) to Defferential Equations and I am looking for your great advice
 
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Personally, I think one of the best places to start is Lang his "First course in calculus". It doesn't focus very much on the very difficult background theory of limits, continuity and epsilon-delta statements. But it focuses more on the actual calculus such as integrals, derivatives and series. The book is quite rigorous (as is usual for Lang), but I think it's ok for a first course. When you finished it, you might want to try out a book like Spivak for everything you missed.

Another great (secondary) resource is http://books.google.be/books/about/Counterexamples_in_Calculus.html?id=5e2N4HXWvXAC&redir_esc=y

You might also want to check out Khan academy, Paul's notes and MIT Opencourseware. But do not use these as primary resources.
 
micromass said:
Personally, I think one of the best places to start is Lang his "First course in calculus". It doesn't focus very much on the very difficult background theory of limits, continuity and epsilon-delta statements. But it focuses more on the actual calculus such as integrals, derivatives and series. The book is quite rigorous (as is usual for Lang), but I think it's ok for a first course. When you finished it, you might want to try out a book like Spivak for everything you missed.

Another great (secondary) resource is http://books.google.be/books/about/Counterexamples_in_Calculus.html?id=5e2N4HXWvXAC&redir_esc=y

You might also want to check out Khan academy, Paul's notes and MIT Opencourseware. But do not use these as primary resources.

^thanks i appreciate your sincere kindness for sharing information where i can find lessons in calculus,
 

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