If you started going to college and actually worked at it a bit you could have skipped to Ph.D. work if you wanted to I did. I skipped all of the B.S. and M.S. work straight to Ph.D. But if your math that you’ve posted is any sign of the state of your knowledge I don’t hold much hope of that happening, since you can’t seem to do basic derivatives correctly. When I started skipping classes for example skipping all of calculus and linear algebra to differential equations I had a partially finished a manuscript on solving differential equations that I have been working on for a while. Now the question that logically pops up is do I have Ph.D. now? No, I am taking a break from that to start a company or three if I can.
If you started going to college and actually worked at it a bit you could have skipped to Ph.D. work if you wanted to I did. I skipped all of the B.S. and M.S. work straight to Ph.D. But if your math that you’ve posted is any sign of the state of your knowledge I don’t hold much hope of that happening, since you can’t seem to do basic derivatives correctly. When I started skipping classes for example skipping all of calculus and linear algebra to differential equations I had a partially finished a manuscript on solving differential equations that I have been working on for a while. Now the question that logically pops up is do I have Ph.D. now? No, I am taking a break from that to start a company or three if I can.