If I want to pursue physics after the military (degrees), what math subjects should I study before starting my drgree/degrees?
When you start a physics degree, the professors are under the assumption that you already know all the material from the highest level of math taught in high school (5 units) and hs physics (it's an elective and I didn't choose it so I'll need to learn it), and in the past few year because of unfortunate events, we had broader question choices in the final exams (it's the same material and final exams for everyone in the country) and so I didn't learn a few subjects and I want to know if they're important in physics. The subjects I didn't learn are:
Motion word problems. We didn't even learn it in school, our teacher gave up on it because we had enough choice and not enough time.
2D Trigonometry. I mostly don't know the identities and the cosine and sine law, since we did learn it in class, I just gave up on the subject (I found geometry easier, it was a choice between the two)
Trigonometric function investigation. I am familiar with sinx, cosx, and tanx. What I don't know is how to solve trigonometric equations and inequalities (identities...), and how to find asymptotes. (I do know differentiation and integration of the three)
Extremum problems (find the maximal area of, find the minimal length of, etc). We were taught that and I do know how to approach extremum question (find target function, find ots domain and find its maximal/minimal value in the domain), I just didn't practice it much since rational/root function investigation was easier for me.
Analytical Geometry. We do learn it, I'm just not a big fan of it and I find complex numbers and vectors (we have yo choose one or two out of the three) easier and more fun. Because we're learning it in class, I am familiar with straight line formulas (distance of point from line, between two parallel lines, etc.) and equation, the circle equation and canonical ellipse equation (what each of the letters mean, and what each mean as a locus), and the formulas learned in 5 units for the two. What I don't know (I'll finish math early in two weeks and the teacher won't be able to teach it in such a short amount of time) is canonical parabola and locuses (at a deeper level, I know a little from complex numbers)