Should I learn ODE topics not covered in Mattuck's lectures?

[Hall]

I'm learning Differential Equations from Prof. Mattuck's lectures. The lectures are absolutely incredible. But there are a few topics in Tenenbaum's book and my syllabus which he doesn't seem to teach (I have reached upto lecture 14, but in future lectures too the following topics are not mentioned), some of them are:

• Method of undetermined coefficients for solving non-homogeneous linear differential equations
• Method of variation of Parameters
• The concept of Exact Differential Equations
• Differential equations of degree more than one

Should I read those topics from the text or simply follow his lectures to the fullest and see for myself if I really need those things which he didn't cover? Any advice from your personal experience shall be highly respected.

 

[MidgetDwarf]

Lecture notes (online) are supplementary material to a good textbook, not the main source. At the minimum, familiarize yourself with topics in your syllabus, if studying for a class. Or for mental curiosity...