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Exploring Lagrangian Optimization

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What's this?

A compilation of resources for my multivariable calculus class' final project: a research† experience where students must design a lesson plan on a math topic and present it to the class.

To complete the assignment, students may form groups to:

  • self-study a topic in mathematics,
  • produce a written document exploring the topic,
  • and develop a presentation for the class.

A couple of classmates and I decided to explore the mechanics and applications of Lagrangian functions and Lagrange multipliers. I decided to use GitHub for its repository version control and device syncing.

† By "research," we refer to the self-education used to assist us in creating a presentation for our class- in no way do we intend to publish a math paper.

Usage

Paper

Check out our LaTeX-compiled completed paper here!

Presentation

Run this in a console to compile the slides locally:

manim-slides convert Introduction Lagrange_Multipliers Key_Differences Cobb_Douglas_Introduction Cobb_Douglas_Problem Physics_Problem main.html -ccontrols=true --use-template template.html

Or, visit this Pages site (it might not be synced.. but it should be).

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📈 Stuff for my high school's calculus final project.

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