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Another calculus and all around math guide is here for free. http://tutorial.math.lamar.edu/ http://tutorial.math.lamar.edu/ I've been using it ever since I was
by manglav 14y ago
Another calculus and all around math guide is here for free.
http://tutorial.math.lamar.edu/ http://tutorial.math.lamar.edu/
I've been using it ever since I was in high school. To this date, I have only rarely had to pay attention in my math classes due to this resource. This will take you to calc 4 and even cover linear algebra. The best part is he progresses in a methodical way, everything is downloadable in pdf format, and his examples are great.
For physics, the Feynman lectures are a great once you have a bit of foundation, but really any course from MIT OpenCourseWare or Coursera will do. The key is definitely doing examples, and I find it is particularly useful to apply it to real life by asking questions. Rainbows? Cameras? Bubbles? Spear-fishing? All great examples of optics. Deep sea excavations? Pulling out the Titanic? Diesel-filled bags? Perfect for studying bouyancy and forces. Have you played Tanks? (seeing as you're in high school, I'm sure you have. If not, you should!) Projectile motion! Just keep your eyes open.
Since you're doing it on your own, I highly suggest learning physics Calc based, instead of algebra based. Everything will tie in very nicely, seeing how calculus was apparently invented FOR physics (courtesy of Professor Covault at CWRU).
Kudos, and good luck!
edit: After trying to use Wikipedia for physics in college, I don't recommend it if you're trying to learn. They use weird terminology, and sometimes weird notation. Sometimes it is good for examples though. Also, check out the International Baccalaureate exams, an alternative to AP. The main difference is that AP expects lots of breadth and little depth, vs IB is vice versa. My physics teacher used to say "IB wants you to be able to answer a question the same way someone with a PhD in the field would". You can find practice exams online. By the way, for Higher Level (HL) exams (equiv to C-level in AP), around a 65% is a 7, the best score you can get.
edit2: Don't forget public libraries! Especially at large colleges or universities. They have many textbooks available, even the old ones at times (which I prefer, there's something about picking up an old textbook and learning from it that's not captured anywhere else. It feels like you're learning from the major players in the game, and I get more motivated to do well). I'll stop with the edits now.