Trigonometry, and mechanics for a start.
No, it should not. And if you studied logic (a branch of mathematics), you would know that this answer means that the "if so" clause becomes irrelevant.
You should take courses to help you improve your mathematics!
You should talk with a specialist to see how this will affect you. Each branch does things in a different way.
Of course not, mathematics is a very useful ability for future careers.
Yes, when specifically referring to the names of the subjects, such as "Science," "Mathematics," and "Biology," they should be capitalized.
They will certainly need a good foundation in mathematics, to include statistics.
We should calculate the profit on sales
yes
No, mathematics does not need to be capitalized. As far as I'm aware, the only studies that need to be capitalized are languages.
it means you should ask your math teacher
Legislative Branch
Every high schools that I know in the US offers algebra and almost everybody takes some version of this subject since a knowledge of algebra is absolutely necessary for chemistry, physics or any more advanced math.