# Fundamentals of Physics: Conservation of Energy in Higher Dimensions

## Conservation of Energy in Higher Dimensions

The discussion on the Law of Conservation of Energy continues but is applied in higher dimensions. The notion of a function with two variables is reviewed. Conservative forces are explained and students are taught how to recognize and manufacture them.

00:00 - Chapter 1. Calculus Review: Small Changes for Motion in 2D

18:05 - Chapter 2. Work Done in 2D; Dot Products and Cross Products

36:16 - Chapter 3. Conservative and Non-conservative Forces

52:29 - Chapter 4. Cross Derivative Test for Potential Energy Equations

01:03:55 - Chapter 5. Application to Gravitational Potential Energy