This free online course from Columbia University shows you how to create lifelike animations focusing on the technical aspects of CGI animation and also give you a glimpse into how studios approach the art of physically-based animation. The course is rich in mathematics and science. For instance you will learn the fundamental concepts of physical simulation, including:

1. integration of ordinary differential equations such as those needed to predict the motion of a dress in the wind.
2. formulation of models for physical phenomena such as crumpling sheet metal and flowing water.
3. treatment of discontinuities such as fractures and collisions.

The course is 12 weeks long starting Feb 4 and will require 8 – 10 hours a week.
For more information see this link.

There are more than 400 free Ivy League university courses you can take online in 2019.