Self Study for Physics for a mechanical engineer

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I am a mechanical engineer with 2 1/2years working experience. I have a Bachelor degree in Science (Mechanical Engineering). Physics is one of my favorite subject when I was in high school. Even though I already graduated from University, during my free time, I will self study Physics. I have an ambition, that is I want to get at least a Master in Physics in future. Here, I would like to seek help and advice from those who are majored in Physics to guide me in my self study.

Some of the related subjects that I took in University are as below:
Calculus 1
Engineering Mathematics 1
Engineering Mathematics 2
Numerical Analysis
Dynamics
Thermodynamics
Strength of Material
Fluid Mechanics 1
Fluid Mechanics 2
General Physics 1

I know that Classical Mechanics , Electromagnetism and Quantum Mechanics are the three fundamental subjects in Physics. I am currently self-study Classical Mechanics using the book "Classical Dynamics of Particles and Systems, Marion, Thornton ". My knowledge of electromagnetism is only until high school level. For quantum mechanics, I am using the book "Introduction to Quantum Mechanics 2nd edition, David J.Griffiths" but I found it too difficult. I stuck in the chapter 2 where there are two methods to solve the Simple Harmonic Motion using Schrödinger equation.

So, here, I would like to ask for expertise on how to self-study in Physics and also some intermediate books for Electromagnetism, Quantum Mechanics and so on (preferably with solution manual) . Thanks.
 
on Phys.org
What is engineering mathematics? I don't think I ever heard of that before. You should also work through the rest of the calculus series unless that was the engineering math course. Linear algebra, differentials ect.

Physics volume 2 H&R&Krane covers basic electro. I just got the book the other day and like it better than the walker version. We used H&R&Walker for my intro physics courses. I thought as a MechE though you would have already covered something similar though?
 
Engineering Mathematics cover ODE, PDE, Laplace Transform, Fourier Series, Fourier Transform , Vector Calculus and so on.

Yes, actually last time I took General Physics 2 before, using the book "fundamental of physics, Halliday, Resnick, ‎Walker" . But, I can say that I did not actually fully master & understand it. That's why I say that my level of Electromagnetism is only until high school level. Sometimes, I will refer back to the book when necessary.