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Calculus


Calculus - the mathematical study of continuous change - was a revolution in mathematical thinking.

Calculus studies the computation of limits, derivatives, and integrals of functions of real numbers, and in particular studies instantaneous rates of change.

Gottfried Wilhelm Leibniz and Isaac Newton developed Infinitesimal calculus independently in the late 17th century. It was refined by Cauchy,Weierstrass, and Riemann. Calculus is used in science, engineering, & economics.

It is the gateway to most STEM careers.

    

Calculus Overview

  YT: The 2,000-Year Math Mystery That Created Calculus - An aha! explanation
  
  Wiki: Calculus
  
  Wiki: History of Calculus
  
  MIT: Calculus Summary
  
  MIT: Calculus Index
  
  Wikibooks Calculus Book
  
  YT: The Pathway to Calculus - Non-Cognitive Issues - Dr. David Bressoud discusses non-cognitive issues.
  
  Quantum Calculus - the flavours of Calculus - Oliver Knill
  

Differential calculus - concerns instantaneous rates of change , and the slopes of curves

  Wiki: Differential calculus
  
  
  
  
  

Integral calculus - concerns accumulation of quantities, and areas under or between curves.

Integral Calculus is the branch of calculus where we study integrals and their properties. Integration is an essential concept which is the inverse process of differentiation. Both the integral and differential calculus are related to each other by the fundamental theorem of calculus.

  Wiki: Integral
  
  Wiki: Lists of integrals
  
  UBC Integral Calculus
  
  Khan Academy: Introduction to integral calculus | Accumulation and Riemann sums (5 min)
  

Calculus Textbooks

  James Stewart
  
  
  
  
  

Calculus You Tube

  YT: This Is the Calculus They Won't Teach You (30 min.)(includes and interview with Dr. David Bressoud)
  
  YT: Dibeos: The Roadmap to Calculus I Wish I Had includes pdf (notation)
  
  The Math Sorcerer: Become a Calculus Master in 60 Minutes a Day
  
  The Math Sorcerer: Master Calculus in 30 Days: A Proven Step-by-Step Plan
  
  3Blue1Brown: The essence of calculus (Playlist)
  
  The Math Sorcerer:3 SUPER THICK Calculus Books for Self Study
  
  BriTheMathGuy: Calculus by Stewart Math Book Review (Stewart Calculus 8th edition)
  
  Gilbert Strang MIT: The Big Picture of Calculus (Playlist)
  
  Gilbert Strang MIT: Introduction to Calculus for Highlights for High School
  
  The Math Sorcerer: Math You Need For Calculus (Precalculus)
  
  
  

Calculus History - In the late 17th century, Isaac Newton and Gottfried Wilhelm Leibniz each independently formulated infinitesimal calculus

  Wiki: History of Calculus
  

Calculus PDFs

  Dibeos: Roadmap to Calculus PDF
  
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