Class videos.
The lectures are from the MW 4:00-5:20 class by David Kahn; the material covered should be the same as in the the other lectures, although of course with a slighty different presentation.The other videos are supplemental videos, intended to be watched before the corresponding lecture.
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Lecture 01: Course info and precalculus review.
January 28, 2015 (
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Introduction to Limits, pre-lecture (
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Definition of the Limit
(optional material) (
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Lecture 02: Tangents, velocity, and limits.
February 4, 2015 (
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Lecture 03: Limits, Limits involving infinity.
February 9, 2015 (
)
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Definition of the Derivative, pre-lecture (
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Lecture 04: Limits and Continuity.
February 11, 2015 (
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Lecture 05: Definition of the Derivative.
February 16, 2015 (
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Lecture 06: The function f'(x); what does f' say about f?.
February 18, 2015 (
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Midterm I Review Session.
February 22, 2015 (
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Lecture 07: The power rule & some review.
February 23, 2015 (
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Lecture 08: Some more review.
February 25, 2015 (
)
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The derivative of exponentials, pre-lecture (
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Lecture 09: The product and quotient rules.
March 2, 2015 (
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Lecture 10: Derivatives of trigonmetric functions.
March 4, 2015 (
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Intuitive explanation of the Chain Rule (
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Lecture 11: The chain rule.
March 9, 2015 (
)
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Lecture 12: Implicit differentiation.
March 11, 2015 (
)
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Lecture 13: Derivative of logarithmic functions.
March 23, 2015 (
)
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Lecture 14: Derivative of inverse trig & logarithmic differentiation.
March 25, 2015 (
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- Midterm II Review Session. March 29, 2015
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Lecture 15: Review for second midterm.
March 30, 2015 (
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Lecture 16: Linear approximations and differentials .
April 1, 2015 (
)
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Lecture 17: Related rates.
April 6, 2015 (
)
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Lecture 18: More related rates, local maxima/minima .
April 8, 2015 (
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Lecture 19: Max/min and curve sketching.
April 13, 2015 (
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Lecture 20: Derivatives and the shape of curves.
April 15, 2015 (
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Lecture 21: Optimization word problems (first 9 minutes of audio missing).
April 20, 2015 (
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Lecture 22: More optimization, some review.
April 22, 2015 (
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Lecture 23: l'Hopital's rule and Newton's method.
April 27, 2015 (
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Lecture 24: Antiderivatives.
April 29, 2015 (
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Lecture 25: some review for final.
May 4, 2015 (
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Lecture 26: more review.
May 6, 2015 (
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Final Review Session .
May 11, 2015 (
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