Main Question or Discussion Point
Hi everyone, I was just wondering what were the mistakes you made along your career path in any of the sciences, and what would you recommend any young person doing to avoid these mistakes...
Wow, thats an intense high school course load. Are all of those courses even offered in high school? I dont think ive ever heard of anyone taking diff eq in high school.
I would advise young people to take the more challenging course when you have a choice.Hi everyone, I was just wondering what were the mistakes you made along your career path in any of the sciences, and what would you recommend any young person doing to avoid these mistakes...
For science exactly this. Believe me, its not as hard as it sounds. It is actually quite easy and can be done by any average science student in highschool. I am teaching my brother now and he is learning it faster than I did in univeristy! Your science courses will always make refrence to this math, even if it is not an official prerequisite.take calc 1-3 + diff eq + linear algebra if you can in high school.
It depends what one means by "differential equations": I wouldn't imagine that the course with such a name covered the same material at every university.I honestly cannot imagine a high school student taking diff eq. That class fails so many students at the senior university level and requires such advanced mathematics from every discipline I don't know how a HS student could ever be prepared for it.
??? in my school differential equations is a sophmore/2000 level class and can be taken immediately after calc 2.I honestly cannot imagine a high school student taking diff eq. That class fails so many students at the senior university level and requires such advanced mathematics from every discipline I don't know how a HS student could ever be prepared for it.
Back to the OPs question, I really wish I would have gotten a minor in chemistry to go along with my BSME degree. Now that I'm at the master's level I'm finding it difficult to grasp many concepts in electrochemistry, polymer chemistry, and statistical thermodynamics that I really should know. Right now I'm studying chemistry for at least a half hour before I go to bed just so I can understand the papers that I read.
ODEs at the senior level? You must be talking about either PDEs or a theoretical course on ODEs that covers the existence theorems. Basic ODEs, like solving first and second order equations, are a joke. The only math you require is trigonometry and calculus, and a tad on imaginary numbers. You don't need to go into matrices and simulatenous equations. Highschoolers are perfectly capable of doing Calc 1-3 out of Stewart and ODEs out of Boyce in their senior years, maybe with summer school. Like ice said, to understand the theory and proofs is another matter best left for college. Computation techniques, imo, are easier to learn when you are young.
His high school was teaching a diff eq class? My [American] school doesn't even have a calculus II class ("AP Calculus BC"). But yes high school classes are dumbed down and serve as a primer for a university course and that's kind of expected for classes like that (otherwise they wouldn't have enough people who are capable of taking the class).Highschool ODES and comm college ODES courses are NOT exactly the same the HS one is dumbed down significantly such as business calculus is dumbed down for business students. I looked at a friend's HS ode notes and they were very basic, i took ODE in HS and it was much more complex, they don't transfer as the same thing HS/CC ODE classes, atleast where i live anyway.
Seconded.To the OP, take the most advanced courses that your school offers, and discipline yourself to scour the materials, study, do extra work, and strive for 100% scores on your tests.
I had the same attitude in high school as you did...but when I got to Uni I decided to buckle down and consequently earned a 3.74 during my first year (one C bringing me down...didn't go to that class for the final 7 weeks and paid the price [really low homework grade!]).My advice: don't bum off maths and physics (or chem/bio, if that's where you want to go). I'm in my first year at university, and bummed around a bit in school. 'As long as I can get good enough grades to get into uni, that will be fine, then I'll nail the As at university'. It didn't work for me, nor for anyone else who has tried.
Baaad move. I started behind other people, and I'm struggling to keep up. Now I feel like a completely wally for not learning properly in school. Honestly, what you do in school directly affects how well you do at university. Just try as hard as you can now, so you don't have to struggle later.
I don't know about mechanics, but Organic Chemistry I is mandatory, and I think OC II is partially covered in the mandatory part of the HS science curriculum anyway.nonsense, i know someone from india who took quantum mechanics, organic chemistry I & II in highschool (amazing what u can acomplish if you don't waste time with useless electives ie: art/drama/cooking lol)