This document provides an overview of climate modeling and its applications. It describes the basic types of climate models, from simple energy balance models to more complex global climate models (GCMs). GCMs simulate the climate system using mathematical equations and incorporate components like solar radiation, dynamics, surface processes, chemistry, and resolution. The document outlines the process GCMs use, including inputs like greenhouse gas concentrations and outputs like temperature, precipitation and ocean changes. It also discusses regional climate models and their added value over GCMs. The document reviews projected climate changes from GCMs and their applications, as well as current limitations and challenges with climate modeling.