Help me out anons. I'm going to college this fall. Should I choose EE or engineering physics?
EE:
Pros: + Taught in English (as I'm from a non-English speaking country.) + Smaller class size. + Better job prospect after graduating in case I can't get into grad school immediately afterwards. Cons: + Higher tuitions than ENPH (160%) + I don't know it EE is what I really want to do with my life.
ENPH:
Pros: + A breed of physics and engineering. Jack of all trade. Get to study QM and Electromagnetic Field Theory. => Does this really make me a more well-rounded candidate for just any science/engineering grad programs?
Cons: + Nobody knows that ENPH exists. => Hard to find a job afterwards. + Taught in my native language. + Class size can be as three times as large.
Colton Powell
Can anyone explain what happened in the red box, logically? I see that they both have the same base, but I don't understand how or why it's okay to drop the base entirely.
William Clark
Since the base is the same, would it matter if you replaced them with other numbers with the same value?
Landon White
Took a base 3 logarithm of both sides
Caleb King
The exponential function is injective. This means the two (equivalent) things:
1) x != y implies that a^x != a^y 2) a^x = a^y implies x = y
The reason it is invective is because it is strictly increasing. You should have studied that in high school.
Nolan Price
Was it for academic prep or just fun? Props either way.
I would keep practicing the fundamentals periodically, since they undergird so much other math. A good book for fundamentals is the classic Princeton book of mathematics.
Dominic Green
>The reason (...) is *that* Fuck, I'm writing like a illiterate person.
Owen Wright
On my Calc 2 quiz yesterday I had to expand (is that the right word?) a maclaurin series for the function 2/(1+x^2). I was running out of time and didn't want to take the derivatives so I just used 1/1-x as the summation of x^n and substituted (-x^2) for x. I checked later that I got the right summation but will my professor take points off because I did it a different way?
Zachary Smith
> Just for fun, I have an interest in machine learning and a lot of computer science so last year I decided to teach myself some mathematics.
Maybe one day I wont be working in a factory for just above min wage :)
Eli Davis
I think this would depend on the professor. It is not a really good idea to use results not proved in class, especially if they making solving the question considerably easier, but he should give you at least some partial credit.