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a mathhands course |
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a mathhands course |
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| ch1: motivations and limits | ||||
| the hands: a brief intro |
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| the two questions |
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| too big, too bold |
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| new numbers, new arithmetic |
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| limits at infinity by pim and em |
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| limits at infinity by graph & rw |
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| two-sided limits |
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| limits defined |
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| limits properties |
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| intro continuous |
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| big deal on continuous functions |
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| chapter summary |
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| ch2: derivatives | ||||
| making of tangent slopes |
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| the derivative |
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| derivative properties |
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| derivative properties ii |
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| the implicit derivative |
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| derivatives of higher order |
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| chapter 1 & 2 summary |
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| ch3: derivatives: good for... | ||||
| a fifth approach to limits |
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| linear approximations |
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| curve sketching first order |
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| curve sketching second order |
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| here's to sir newton |
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| related rates |
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| optimization |
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| mean value theorem |
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| chapter 3 summary |
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| ch4: the question of areas | ||||
| sum refresher |
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| sum other refresher |
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| the limit still king, still timeless |
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| the integral notation |
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| dethrone the king, w sheer beauty |
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| basic integrals |
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| chapter 4 summary |
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| ch5: integrals | ||||
| basic integrals (review, redo again) |
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| u-sub |
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| trig integrals |
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| trig subs |
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| bp [next semester, in calc II] |
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| pfd [next semester, in calc II] |
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| simpson & trapezoids [on your own, or wait may post something] |
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| chapter 5 summary |
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| chapter 5 review workout |
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| ch6: integrals: good for.... | ||||
| areas |
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| more areas |
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| arc-lengths |
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| center of mass |
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| work, force |
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| volumes, slices |
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| volumes, shells |
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| surface areas |
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| diff e q's |
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| chapter 6 summary |
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