Single Variable Calculus

Course Description

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

Lectures

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   Lecture 1 - Derivatives, slope, velocity, rate of change

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   Lecture 2 - Limits, Continuity, Trigonometric limits

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   Lecture 3 - Derivatives of products, quotients, sine, cosine

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   Lecture 4 - Chain rule, Higher derivatives

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   Lecture 5 - Implicit differentiation, inverses

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   Lecture 6 - Exponential and log Logarithmic differentiation; hyperbolic functions

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   Lecture 7 - Hyperbolic functions (cont.) and exam 1 review

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   Lecture 8 - Linear and Quadratic Approximations

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   Lecture 9 - Curve Sketching

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    Lecture 10 - Max-min problems

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    Lecture 11 - Related Rates