Course topics:
* Physical principles, mathematical models, and numerical methods in climate and environmental sciences
* Earth system: Main components, driving forces, scales, feedbacks
* Hierarchy of climate models, regional and global focus
* Environmental modeling: Main applications and problem settings

The course introduces the main physical concepts and mathematical descriptions underlying modern climate and environmental models including formulating and interpreting the systems of ordinary and partial differential equations for the main components of the Earth system (ocean, atmosphere, land cover, subsurface, ice sheet, etc.) and interactions between them. Additionally, the course covers some basics of analytical and numerical solution methods for different types of climate and environmental problems and offers theoretical and programming assignments aiming to give the first hands-on experience with the introduced techniques.