Small glossary
原点 げんてん Origin
平面 へいめん Plane
座標 ざひょう Coordinate
直線 ちょくせん Line
直交 ちょっこう Orthogonal
四面体 しめんたい Tetrahedron
体積 たいせき Volume
半径 はんけい Radius
内積 ないせき Inner product
複素数 ふくそすう Complex number
虚部 きょぶ Imaginary part of a complex number
偏角 へんかく Argument of a complex number
関数 かんすう Function
一般項 いっぱんこう General term (formula for nth term of a series)
I recently saw this video about one math question in an entrance exam (the entire exam is available here).
From what I can gather, Hokkaido University is roughly analogous to a public US research university like UC Berkeley or UW. Still, this exam feels pretty brutal. High school me would have been cooked. I've never even seen Lagrange's identity used to find the area of a triangle before. 文系 my ass.
I also tried out the first three questions of the 理系 version. 1 and 2 seemed more in line with what I was expecting for 理系, though some parts were still pretty tricky imo. But I had no idea wtf 3 was talking about in the second half.
I haven't looked at the other exams yet, but going through them seems like an interesting way to learn rarely used words that ostensibly most native speakers would know.
by jisinnimaiti