The focus of this tutorial is on algebraic multigrid (AMG). The tutorial will start with the basic principles of algebraic multigrid methods, followed by introducing two general methods: CF based algebraic multigrid and aggregation based algebraic multigrid. An overview of these methods, including common algorithms for their construction will be covered. The goal is to identify the key components of AMG. Advanced algebraic methods such as compatible relaxation, adaptive AMG, and element based AMG will also be briefly covered. In addition, an overview of some of the supporting theory will be given.