Hey CalculusI'm heading in to Calculus II next semester. We're going to use Stewart's "Calculus: Early Transcendentals" 6e, which is the same book I've used in high school and previously in Calculus I
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I love the book. I have used it as a companion text book for all of my mathematics classes because it has sadly never been used in any calculus course that I have taken. If you like a more applied approach I would try Hughes-Hallet.
I like Larson and Hostedtler for lots and lots of practice problems. They do the trig and exponentials as separate chapters after introducting integrals.
BUT.....they suck on applications of integrals. I usually end up making up most of my own problems and notes for solids of revolution.
This is going to sound REALLY dumb, but a lot of integral calculus concepts clicked for me when I was chopping vegetables. Especially butternut squash. I'm dead serious-- you're chopping this irregular shape with circular cross-sections into small, regularly-shaped chunks-- which is exactly the concept behind Riemann sums, definite integrals, and solids of revolution.
To the OP: Keep in mind, though, that it probably won't teach you anything applied -- being sensible about your use of it should give you enough maturity to figure stuff out yourself, though...
Spivak is excellent. Again, not too many applied "word problems", but you'll certainly find all the intuition, ideas, and proofs you could want, I'm sure.
Calc. II = ick. SERIES! EW. So long ago, yet still eerily fresh in my mind. I personally hate the proofs and just preferred memorizing the formulas because my brain interprets the formula better than some long, drawn-out proof. LOL, sorry fellow mathletes! This one hates the proofs! But it could also be because I'm female and have a harder time with all the logical bullshit.
I digress. I think you'll be fine without a supplement. Inegration techniques are fairly easy (and fun), and for the things you may find difficult or want a more theoretical interpretation of, the web is always an excellent resource. Good luck!
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BUT.....they suck on applications of integrals. I usually end up making up most of my own problems and notes for solids of revolution.
This is going to sound REALLY dumb, but a lot of integral calculus concepts clicked for me when I was chopping vegetables. Especially butternut squash. I'm dead serious-- you're chopping this irregular shape with circular cross-sections into small, regularly-shaped chunks-- which is exactly the concept behind Riemann sums, definite integrals, and solids of revolution.
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To the OP: Keep in mind, though, that it probably won't teach you anything applied -- being sensible about your use of it should give you enough maturity to figure stuff out yourself, though...
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I digress. I think you'll be fine without a supplement. Inegration techniques are fairly easy (and fun), and for the things you may find difficult or want a more theoretical interpretation of, the web is always an excellent resource. Good luck!
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