Climate Modeling in Differential Equations (UMAP)

This Module develops some simple energy balance models for the temperature of the Earth, through exercises, a sample exam question, and a team project.

Table of Contents

1. INTRODUCTION

2. GLOBAL AVERAGE TEMPERATURE MODELS

3. BIFURCATION

4. SAMPLE EXAM QUESTION ON BIFURCATIONS

5. PROJECT: SURFACE TEMPERATURE-ICE SHEET COUPLED MODEL
5.1 Introduction
5.2 A Latitude-Dependent Model
5.2.1 Glaciers
5.2.2 Distribution of Insolation
5.2.3 Meridional Heat Transport
5.2.4 Legendre Polynomials
5.3 Putting It All Together
5.4 Project Problems

6. SOLUTIONS TO THE EXERCISES

7. SOLUTIONS TO THE SAMPLE EXAM PROBLEM

8. SOLUTIONS TO THE PROJECT PROBLEMS

APPENDIX: MATHEMATICA PROGRAMS

NOTES FOR THE INSTRUCTOR

REFERENCES