How do you solve problems involved with multiple type of waves, energy, theorems, vectors, refraction, reflection, etc?

Since I have a background in Electrical Engineering, I understand these concept fairly easy. All these problems can solved using common sense and understand directions of certain instances such as the electrical current.

How do you solve problem involved with capacitors, magnetic field, magnetic force, resistors, electrical circuits, etc?

Since I have a background in Electrical Engineering, I understand these concept fairly easy. All these problems can solved using common sense and understand directions of certain instances such as the electrical current.

How do you find derivative on particular or complex equations? What are the max and min? The anti-derivative? How do you find the limit? How to understand the behavior of certain graphs?

The derivative can be found using the the theorem or by using the direct methods. The max and min are found using derivatives and replacement of fixed variables. The anti-derivative is done using the integration method. Limits are all different but can be found setting a variable to go to infinity or certain scalar or variable. Graphs are easily understand when the behavior is clearly explained. I have been teaching these commons problems for many years now.