

Course ID:  MATH(MARS) 4730/6730. 3 hours. 
Course Title:  Mathematics of Climate 
Course Description:  Basic mathematical models describing the physical, chemical, and
biological interactions that affect climate. Mathematical and
computational tools for analyzing these models. 
Oasis Title:  Mathematics of Climate 
Prerequisite:  MATH 2700 
Semester Course Offered:  Offered fall semester every evennumbered year. 
Grading System:  AF (Traditional) 

Course Objectives:  Students will understand the basic physical, chemical, and
biological interactions that affect climate. Systems of
differential equations will be introduced to model these
interactions. Students will learn the mathematical and
computational tools needed to analyze these models. 
Topical Outline:  1.) Climate basics: climate versus weather; radiation and heat
balance; box models; macro atmospheric structures; thermo
haline circulation; airsea interactions; El Nino Southern
Oscillation; vegetation and land interactions
2.) Low Dimensional Mathematical models: (Energy balance
models; radiativeconvective models; Budyko model;
Daisyworld)
3.) Qualitative analysis of systems: Bifurcations (tipping
points, snowball earth); fastslow systems; critical slowing;
critical noise
4.) Carbon Cycle: vegetation; ocean cycle; weathering
5.) Fluid models: stable manifolds; Lagrangian structures
6.) Global Climate models 