How to properly prepare for a graduate level PDE course using the books by Evans and Strauss

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For my undergrad background, I have Calculus 1-3, Linear Algebra, one semester of ODE, one semester of real analysis. Never had any PDE before. Thus I know this background is hardly enough to do well in a graduate PDE.

My plan during this coming 3 weeks of winter break is trying to have some PDE tricks before hand. I will use the Haberman's book "Applied PDE with Fourier series and boundary value prob" to prepare since it is used to teach undergrad PDE.

If any of you are familiar with the topics and the three PDE's books of Evans,Strauss and Haberman, please advice which Haberman's chapter that I need to read. Or if you have a better reference, comment on how to strengthen my background please do so. Many thanks in advance, sorry for lengthy post.

At my school, the 1st course in graduate level PDE will cover Evans 's PDE book chapter 2 and Strauss's chapter 4,5

Here is Evans's pde list:

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Here is Strauss 's pde list :

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Here is the contents of Haberman's pde :

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