What do I need to know to start Calculus?

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    Calculus
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SUMMARY

To start Calculus, a strong foundation in Algebra is essential. Key concepts include Polynomial Long Division, Trigonometric Identities, and familiarity with Exponentials. Understanding infinite sequences, series, and limits is beneficial, although most Calculus textbooks will review these topics. Students should be prepared for the challenges of Calculus II, which encompasses a comprehensive understanding of introductory calculus concepts.

PREREQUISITES
  • Algebra proficiency
  • Polynomial Long Division
  • Trigonometric Identities
  • Familiarity with Exponential functions
NEXT STEPS
  • Study the Perfect Square Method
  • Learn about limits of sequences and functions
  • Explore Partial Fraction Decomposition
  • Review applications of Trigonometric Identities in Calculus
USEFUL FOR

Undergraduate students in mathematics and computer science, educators teaching Calculus, and anyone preparing to study or teach Calculus I and II.

Femme_physics
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I know a whole bunch of math, but I don't know if it's enough to start Calculus. Can you give me the run-down of what I need to know?
 
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If you are very good at algebra, that is all you need to start. Some parts of Calculus use the "transcendental" functions, [math]e^x[/math], ln(x), sin(x), cos(x), etc. but the basic concepts do not require them. It would help if you had some knowledge of infinite sequences and series and limits of sequences and functions but any good Calculus text will at least review those in the first chapters.
 
Seems like my calc textbook does review it. So far so good, got through finding rate of change over an interval and the basics of limits... doesn't seem complicated...
 
I teach Calculus I and II.
You need to be very good with Algebra to begin with.
Then you will need ...
Polynomial Long Division
Trigonometric Identities [the basic Pythagoreans]
Familiarity with Exponentials and their manipulation
Complete the Perfect Square Method
Adding rational polynomials [the reverse of Partial Fraction Decomposition]

Cheers
 
Seems pretty basic, paulfr. :) NP here.

Thanks!
 
Im an undergrad in my junior year studying mathematics and comp sci. I have finished all calc I-III and I can say that you should know you algebra well and trig. Trig identities become pretty important and when and if you proceed to applied calculus you will find that trig is quite handy. Sidenote - Calc II is going to be the toughest. Not because it is necessarily more difficult, but because it pretty much entails EVERYTHING you will learn in beginning calculus.
 
Toughest is all relative, I find math and studying in general easy once you see the use of it and grow to like it.
 
True, I'm just stating what most professors will tell you, and probably most anyone who has taken all the calcs.
 

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