It's been so long, 25 years. I've forgotten all my higher math & physics, and even some Algebra. I never had a solid foundation in lower math -- never mastered it all. I think this is why I've forgotten so much. I got A's in Calculus I, III, Differential Equations and Linear Algebra, and a B in Calc II. But again so long ago, I just don't remember it. I do remember I struggled with the homework and took me much longer than it should due to lower math not being mastered.

I just started reading these AoE & LAoE books .. just a few pages.. and I already feel uncomfortable. I want to thoroughly understand all the laws they talk about, so I decided I need to learn undergraduate college level Electricity & Magnetism physics. Started reading my old Tipler's Physics books (Third Edition) and I see that one needs to know Newtonian Physics well to understand Electricity & Magnetism. I've forgotten my Mechanical Physics I took 25 years ago.. got a B in that course as well.. was a struggle. I can't even do Mechanical Physics because I forgot my Calculus.. cascading all the way down to a lot of forgotten Algebra.

So I decided the other day to just start from floor, Kindergarten math on Khan. I heard Khan was great for building a solid math foundation so I went with it. Mastered (100%) K-6th grade and Early Math through Pre-Algebra in 3 days (lots of questions and word problems.. hundreds). Surprisingly learned a few things: I can do arithmetic much faster in my head and on paper, than ever before.. e.g. quickly identifying prime numbers, and quickly multiplying large digit numbers (in my head even). Also learned that a square could also be classified as a rectangular rhombus. Know how to find the area of a trapezoid now lol. Wow!

Now I am 20% through Algebra, and progressing quickly.

The following is the course path I've tentatively chosen. If you have any other recommendations (other than what I am doing is probably overkill), I'd appreciate it; e.g. resource suggestions.

The courses I've chosen below are 100% free which include many courses from prestigious professors at MIT. Again comments/suggestions very welcome.

Once I am finished with all of Math and Physics I'll start on AoE & LAoE.

**Jennifer's Curriculum Course**

(as prerequisites for AoE & LAoE)Master all of the following math courses:

1) Algebra (Khan Academy)

2) Geometry (Khan Academy)

3) Trigonometry (Khan Academy)

4) Pre-Calculus (Khan Academy)

5) Single Variable Calculus

MIT Mathematics Course 18.01SC – OpenCourseWare [Free]

Professor David Auroux

Khan Academy (supplemental if needed)

Swokowski Calculus (supplemental text)

7) Multivariable Calculus

MIT Mathematics Course 18.02SC – OpenCourseWare [Free]

Professor David Jerison

Khan Academy (supplemental)

Swokowski Calculus (supplemental textbook)

Linear Algebra (Applications focused, not proofs/theory)

MIT Mathematics Course 18.06SC – OpenCourseWare [Free]

Professor Gilbert Strang

Khan Academy (supplemental)

9) Differential Equations

MIT Mathematics Course 18.03SC – OpenCourseWare [Free]

Khan Academy (supplemental)

After math is mastered above, then on to the physics, which I hope to mostly master:

1) Mechanical Physics

Dr. Walter Lewin MIT Youtube Videos

Tipler's Physics – Third Edition (supplemental textbook)

Khan Academy (supplemental)

2) Electricity & Magnetism Physics

Dr. Walter Lewin MIT Youtube Videos

Tipler's Physics – Third Edition (supplemental textbook)

Khan Academy (supplemental)

Then after all the math & physics, start on AoE & LAoE.

EDIT: Dr. Lewin is such a great Physics professor, I will also most likely want to do his free Youtube Quantum Mechanics course as well. I've already watched a couple of his video lectures on it and am blown away to find out about discrete energy and how electrons change shells instantaneously and in a discrete matter, emitting particular fixed length electromagnetic waves / photons -- buying the light diffraction grating thingy now after watching that video.. I now wonder if we are in a computer simulation LOL!

EDIT: Btw, I always thought electronics orbited nucleus like planets do the sun.. not the case heh. Check out this awesome video model (starts discrete for first few seconds but then simplifies by making the transitions more analog, so we can see what is happening more easily:

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