How to begin learning calculus at an early age?

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Discussion Overview

The discussion revolves around how a thirteen-year-old can begin learning calculus, with considerations for foundational knowledge in mathematics and resources for study. The scope includes recommendations for preparatory materials and online courses.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant expresses a desire to learn calculus and programming but is unsure how to start.
  • Another participant shares a link to an online calculus course that also includes programming.
  • A different participant emphasizes the importance of having a solid understanding of Intermediate Algebra and basic Trigonometry before starting calculus, suggesting that many may also need prior coursework in Geometry and Pre-Calculus.
  • One suggestion for preparatory reading includes "Basic Mathematics" by Serge Lang and "Pre-Calculus in a Nutshell" by George Simmon, which are said to be suitable for preparing for 1-variable calculus.
  • A repeated link to the online course is provided, along with a positive remark about the app associated with it.

Areas of Agreement / Disagreement

Participants generally agree on the necessity of foundational knowledge in mathematics before tackling calculus, but there is no consensus on the specific resources or methods to begin learning.

Contextual Notes

Some participants mention varying levels of prerequisite knowledge and suggest different preparatory materials, indicating a lack of uniformity in approaches to starting calculus.

Who May Find This Useful

Young learners interested in beginning calculus, educators seeking resources for teaching foundational mathematics, and parents looking for guidance on supporting their children's mathematical education.

0null
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I am a thirteen year old passionate to learn calculus(and possibly programming) but i do not know how to start. Please help.
 
Physics news on Phys.org
https://www.coursera.org/learn/calculus1
They have programming also.
 
0null said:
I am a thirteen year old passionate to learn calculus(and possibly programming) but i do not know how to start. Please help.
The minimum you need is good understanding and skill in Intermediate Algebra and good understanding of basic Trigonometry and have practiced its exercises. Those alone are not enough for everybody. Most people need academic development from full courses of Geometry, and Elementary Functions/Pre-Calculus/College Algebra & Trigonometry, before beginning to study Calculus. (this all applies to learning Calculus; not "programming").
 
I suggest "Basic Mathematics" by Serge Lang and ""Pre-Calculus in a Nutshell" by George Simmon. Those two books will thoroughly prepare you for the 1-variable calculus at the computational level. They should take you month or two.
 
Dr. Courtney said:
https://www.coursera.org/learn/calculus1
They have programming also.
Thanks, just downloaded the app, it is great!
 

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