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Areas of mathematics that could be selftaught 
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#1
Sep905, 09:48 PM

P: 44

I'm currently taking Precalculus in school, and I've been trying to get ahead by teaching myself Calculus, however I would also be interested in learning about other areas of mathematics (especially those which also relate to physics). Does anyone know of a specific division of mathematics that would be useful to know, and could possibly be selftaught?
P.S. If the classes could not be selftaught I might be able to eventually take them at the local college next semester. Any textbook recommendations would also be helpful. Thank you. 


#2
Sep905, 10:01 PM

P: 117

I'm in AP Statistics and it's a very simple subject IMO. There isn't anything in the field so far that couldn't have been picked up by reading out of a Princeton Review book.



#3
Sep905, 10:10 PM

P: 44

Thanks, I forgot to mention that I'm also currently taking Probability and Statistics. I was thinking about Taking AP Statistics next year, but depending on how I do I might just use a study guide and see how well I can do on the exam. Thank you.



#4
Sep1005, 01:07 AM

P: 1,373

Areas of mathematics that could be selftaught
mostly every area of mathematics can be self taught. Whether your looking to just comprehend or to apply is a idfferent story, because some profeesors can give you tips and tricks thorugh their experience.
and it also depends on the time and the amount of prereqs you'd need to learn before reaching your goal. And also on your motivation. and most importantly the book your learning from. Tensors (finally read a good chapter of opne of my physics books that explains tensors with clarity...though i can't remmeber which one...its either from my classical mehc or relativity book). senior university level analysis analysis in dynamical systems(bifurcation theory) some computational math. my trouble isn't comprehending but remembering. 


#5
Sep1005, 10:10 AM

P: 44




#6
Sep1005, 10:38 AM

P: 36

If your looking for math that relates to physics then calculus is probably the most important type of math you will ever learn. Make sure you study calculus very hard because it is that basis of almost everything you will do in phyiscs and it is also important for many other types of math that you may get into. Stewart was the right book to choose. See my reveiw at
http://www.amazon.com/gp/cdp/member...Fencoding=UTF8 I was in a similar position that you are in during my last two years of high school and I found that the best source of help was my high school teachers. When they found out I was teaching myself math they gave me some of their old textbooks. They also let me assist in teaching precalc and calculus and I tutored a lot of their students. My calculus teacher's husband was a professor at the local university and he started to come to my high school every week and he would give me textbooks, and after I would teach myself something he would help me if I needed it and he tested me on the subjects. The test he gave me counted as credit when I started college a few weeks ago so I didnt have to take classes I already knew. This same professor also found me a full scholarship (with money left over, so instead of paying for college I get paid to go to college) even though my grades in high school were horrible. He also got me into the honors program at my college even though I didnt meet the GPA and class rank requirements. My point is this: your teachers will be happy to help you. Go to them and ask the same questions you are asking us right now. 


#7
Sep1005, 11:25 AM

P: 1,373

yes stewarts book is very useful for a person at your level. Its used in many cdn universiies. You might also want to pick up a good linear algebra book.
anton&rorres was the on i used before moving onto friedberg. oh and if all else fails...mathworld.com is probably one of the best online sites. 


#8
Sep1005, 02:09 PM

P: 44

Thank you very much, you've been very helpful. Once I get the book if/when I have any problems I will ask my teachers, thanks for the advice.



#9
Sep1005, 03:56 PM

P: 117




#10
Sep1005, 04:16 PM

P: 1,373

up in canada we call it FINITE for some reason.



#11
Sep1005, 05:45 PM

P: 44

I was considering taking AP Statistics, but eventually decided not to because supposedly a majority of the people that do well have taken regular Statistics first. It's really easy though so far, and my teacher, who also teaches AP, said that the only difference was the pacing of the class. I didn't switch though because I'd already moved my schedule around too much and it was around two weeks into the year already.



#12
Sep1005, 05:49 PM

P: 728

I'd like to add one more thing. If you are studying from a textbook, make sure that you do the problems in each section before moving onto the next one. Obviously you don't have to do all of them, but if you do none, you'll fall into the IthinkIunderstandthisbutIreallydon'tnowthatI'vereadthenextsection trap.



#13
Sep1005, 05:58 PM

P: 44

Thank you, I'll make sure I answer at least some of the questions.



#14
Sep1105, 11:44 AM

P: 138

I agree that problem when teaching yourself is not comprehending but remembering and especially applying. My current teacher doesn't teach us anything. The less I listen to her the more I understand. It is possible to do it by yourself but it takes more time. I had good luck that my Pre. Calc. teacher was great and she taught us a lot about derivatives so now I can pretty much chill for the whole semester. When you take Calculus take BC.



#15
Sep1105, 04:09 PM

P: 44

I was intending to take BC but I'm confused now because the teacher said something about AB material on the exam and that you would need to take AB first, and AB is paired with Math Analysis (which I've heard is pretty much just an extension to make the class two hours long) and I don't understand why a more difficult class would be one hour whereas the easier one would be two hours. Does any of this make any sense?



#16
Sep1105, 10:03 PM

P: 487




#17
Sep1305, 02:39 PM

HW Helper
P: 2,688

The calculus courses at my university use Stewart's book. It's one of the best math books I ever used IMO.



#18
Sep1305, 03:02 PM

P: 1,373

heh stewart earned an honourary degree at my graduation in mcmaster. Don't remmeber if he did his Phd, OR taught there. but he never taught me he moved onto another university whe i got their i think....
but i remember his speech...the mainly point was that if you cna't or don't want to be a science researcher bnut want to remain in the realm of science you can always fall back to science writing for the public...which is a respectable job in itself. 


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