Calculus Following Prof. Mattuck's lectures on Ordinary Differential Equations....

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The discussion centers on the effectiveness of Prof. Mattuck's lectures on Differential Equations, which are praised for their quality. However, there are concerns about certain topics not covered in the lectures, including the method of undetermined coefficients, variation of parameters, exact differential equations, and higher-degree differential equations. The main question is whether to supplement the lectures with reading from Tenenbaum's book and the syllabus or to rely solely on the lectures. It is suggested that students should at least familiarize themselves with the syllabus topics, as lecture notes should complement a good textbook rather than serve as the primary resource. This approach is recommended for both academic success and personal understanding.
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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.
 
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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...
 

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