Video Lectures

These video lectures of Professor David Jerison teaching 18.01 were recorded live in the Fall of 2007 and do not correspond precisely to the lectures taught in the Fall of 2006 (e.g., the lecture notes).

Note: Videos were not recorded during sessions 8, 17, 27, and 33 as these were in-class exams.


Lecture 1: Rate of Change

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Lecture 2: Limits

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Lecture 3: Derivatives

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Lecture 4: Chain Rule

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Lecture 5: Implicit Differentiation

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Lecture 6: Exponential and Log

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Lecture 7: Hyperbolic Functions

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Lecture 9: Linear and Quadratic Approximations

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Lecture 10: Curve Sketching

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Lecture 11: Max-min

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Lecture 12: Related Rates

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Lecture 13: Newton's Method

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Lecture 14: Mean Value Theorem

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Lecture 15: Antiderivatives

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Lecture 16: Differential Equations

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Lecture 18: Definite Integrals

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Lecture 19: First Fundamental Theorem

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Lecture 20: Second Fundamental Theorem

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Lecture 21: Applications to Logarithms

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Lecture 22: Volumes

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Lecture 23: Work, Probability

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Lecture 24: Numerical Integration

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Lecture 25: Exam 3 Review

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Lecture 27: Trig Integrals

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Lecture 28: Inverse Substitution

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Lecture 29: Partial Fractions

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Lecture 30: Integration by Parts

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Lecture 31: Parametric Equations

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Lecture 32: Polar Coordinates

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Lecture 33: Exam 4 Review

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Lecture 35: Indeterminate Forms

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Lecture 36: Improper Integrals

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Lecture 37: Infinite Series

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Lecture 38: Taylor's Series

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Lecture 39: Final Review

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