There are two methodical ways to analyze the electric circuits:
Although, these methods may seem difficult at first, you'll see it is the easieast and can be applied to even most complex circuits. These two techniques are so important that this section should be regarded as the most important in the course. Furthermore, in your professional life, you'll encounter so many cases where you have to represent a real world problem in terms of a linear matrix eqaution (which is the main idea behind the nodal and mesh analysis).