Calculus Meets Coding
Overview
This module teaches you calculus through coding in R. You do not need to know pre-calculus to join it.
You will learn about derivatives, antiderivatives (integrals), limits, etc. Instead of focusing on proofs and mathematical rigor, we try to show you the conceptual reasoning behind these techniques.
You will also see applications of calculus in physics, optimization and finding roots of polynomials.
Skills You Acquire
- You wil learn the main tools of calculus (derivatives, integrals, limits).
- You will learn about the history of developments.
- You will see how calculus is applied in physics and other places.
- This module does not require knowing precalculus.
Class Style
Prerequisites
Lessons
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Lesson 1
Introduction and Historical Developments Status: Text complete, video in production
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Lesson 2
R, Vectors and Functions Status: Text complete, video in production
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Lesson 3
Inventing Differential Calculus Status: Text complete, video in production
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Lesson 4
Derivatives: Constant Multiples, Sums, and Products Status: Text complete, video in production
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Lesson 5
Rules and Tables of Derivatives Status: Text complete, video in production
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Lesson 6
Anti-derivative and Area Status: Text complete, video in production
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Lesson 7
Applications of Derivative - Maxima and Minima Status: Incomplete
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Lesson 8
Using Calculus in Physics Status: Incomplete
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Lesson 9
What is the Cube-root of 7? Status: Incomplete
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Lesson 10
Infinity, Zeno's Paradox and Limits Status: Text complete, video in production
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Lesson 11
Precalculus - What and Why? Status: Text complete, video in production
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Lesson 12
Review of What You Learned so Far Status: Incomplete
