Class videos.
The lectures are edited versions from a previous semester of MAT125, but they cover the same material as the current semester, in pretty much the same order.The other videos are supplemental videos, intended to be watched before the corresponding class. These are much shorter.
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Lecture 01: Course info and precalculus review. (
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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. (
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Lecture 03: Limits, Limits involving infinity. (
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Definition of the Derivative, pre-lecture. (
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Lecture 04: Limits and Continuity. (
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Lecture 05: Definition of the Derivative. (
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Lecture 06: The function f'(x); what does f' say about f?. (
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Midterm I Review Session. (
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Lecture 07: The power rule & some review. (
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Lecture 08: Some more review. (
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The derivative of exponentials, pre-lecture. (
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Lecture 09: The product and quotient rules. (
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Lecture 10: Derivatives of trigonmetric functions. (
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Intuitive explanation of the Chain Rule. (
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Lecture 11: The chain rule. (
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Lecture 12: Implicit differentiation. (
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Lecture 13: Derivative of logarithmic functions. (
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Lecture 14: Derivative of inverse trig & logarithmic differentiation. (
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- Midterm II Review Session.
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Lecture 15: Review for second midterm. (
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Lecture 16: Linear approximations and differentials . (
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Lecture 17: Related rates. (
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Lecture 18: More related rates, local maxima/minima . (
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Lecture 19: Max/min and curve sketching. (
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Lecture 20: Derivatives and the shape of curves. (
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Lecture 21: Optimization word problems (first 9 minutes of audio missing). (
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Lecture 22: More optimization, some review. (
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Lecture 23: l'Hopital's rule and Newton's method. (
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Lecture 24: Antiderivatives. (
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Lecture 25: some review for final. (
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Lecture 26: more review. (
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Final Review Session . (
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