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May 4th, 2017, 05:15 AM   #1
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Is Paul's online notes good?

Hello, I've been using khan academy to study calculus for a while now, but I recently discovered Paul's online notes. It seems like there is much more stuff covered, also with some (at least from my point of view) pretty advanced things. I'd like to know what is your experience with this site, if you recommend it, and how complete it is. My main motivation to study calculus is to study more advanced physics, so I would like to have a solid background in calculus before I go to college. Maybe so solid that I will be able to say that "I understand and know calculus quite good". Do you think that PON can provide this? Of course I will have to search for some stuff elsewhere, but this should be the very main source of information. Thank you all for you answers.
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May 4th, 2017, 05:39 AM   #2
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Paul's online notes are excellent. I've also found him to be very approachable via e-mail.

Pauls Online Math Notes

His course is a pure mathematics course, so it probably includes more detail than a Physics student would need, especially at the more advanced end of things, but it's certainly a good place to start. Not only are the lecture notes very good and complete, but the example sets are extremely useful to the student, including lots of worked examples. Later in the course, example sets are not available, but that is the only omission that I know of.

Last time I looked there were some minor difficulties with the Trigonometric Substitutions section, but these are not unusual and you are unlikely to notice particularly. That said, I did contact Paul about this section so he may have changed it a bit.
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May 4th, 2017, 05:49 AM   #3
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May 4th, 2017, 11:40 AM   #4
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If you have any spare time in the summer for preliminary reading I suggest looking at more modern maths than calculus.

Group theory, Linear algebra, vector spaces, symmetries are what you will need to make sense of undergraduate physics (and beyond) these days.

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