Minor correction at 7:25, when you have a RHP zero and LHP pole, the phase will START at 180, and then drop to 0. This is just a very nitpicky detail but I thought I might as well leave a comment.
If you find a material that deals with extra element theorem, you will find most of the information covered here. For example 1.Linear Circuit Transfer functions an Introduction to Fast Analytical Techniques by Christophe Basso-Easy to understand 2.Fast Analytical Techniques for Electrical and Electronic Circuits by Vatche Vorperian - This needs a lot of commitment. The first reference took most of the ideas here. 3. Generalized time-and transfer-constant circuit analysis - IEEE paper by Ali Hajimiri 4. If you are interested in the treatment of the material in power electronics, the topic is covered in the "Fundamentals of power electronics" by Erickson.