Literature and Arts vs Science and Engineering

Starting in middle school, education breaks into two tracks, Literature and the Arts, and Science and Engineering. Literature is English, Latin, and modern languages. Arts are history, painting, architecture, sculpture, music. Science and Engineering includes physics, chemistry, biology, computer science, electrical, mechanical, civil, and chemical engineering. We will ignore the nothing studies like physical education, gender studies, black studies,sociology, education, political science, and underwater basket weaving.
Science and engineering requires some (sometimes a lot of) mathematics. It also leads to jobs in the private sector. Literature and Arts requires no math, and only leads to teaching positions. Of the nothing studies, at least an education major can lead to a teaching job, if the student can survive the boredom of a major with little to no intellectual content.
Looking back on it, my str0ng recommendation for new students is to pick the science and engineering track. The subjects are intellectually interesting, which is another way of saying "fun". They are intellectually rigorous, theories have to be supported by repeatable experiments and observations, which means the conclusions reached are highly likely to be true.
Note, I did not say "bound to be true". In science, we know our history, we know of many instances of new discoveries that invalidated or radically extended existing knowledge. Now a days we like to say, "it's true as far as we know today". In science and engineering it is extremely useful to know the limits of our knowledge. When troubleshooting is it valuable to be able to say "This and this and this are well understood, but that is cutting edge technology and not well understood, yet."
Pure science is the pursuit of new scientific knowledge. Engineering is the application of science to make useful devices, products, and structures. Engineering is fascinating in itself, the question "what science will make this new device work, or produce that new product, both at cost low enough to sell?" It's puzzle solving.
Mathematics is essential to a career in science and engineering. Algebra is the barest minimum. Plane geometry and trigonometry are just about mandatory, and calculus, ( from derivatives, to integrals, and then differential equations) is used just about everywhere. In high school, the wise student will keep his options open by taking the right mathematics courses. High school ought to teach algebra, plane geometry, and trigonometry. If you miss these high school courses you will be behind the power curve in college. College math ought to start with calculus, and without the algebra and trig, the calculus student is doomed unless possessed of genius level mathematical ability. The high school student who dodges the math courses, or gets sucked off into "business arithmetic" or "statistics" even "matrix algebra" has locked himself out of the science and engineering track. Algebra, geometry and trig are required, the others are not. High schools these days tend to call "pre-calculus" what they used to call trigonometry. Either way, you have to take it.