This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics.

Taylor's Series for sec(x)

Series Calculation Using a Riemann Sum

Integration of Taylor's Series

Ratio Test -- Radius of Convergence

Integral Test as Estimation

Finding Taylor's Series

Power Series Practice

Taylor's Series of a Polynomial

Ratio Test for Convergence

Comparison Tests

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OCW Scholar: Single Variable Calculus

Riemann sum

Integral of tan^4 (theta)

Limit of a Series

Implicit differentiation and linear approximation

Computing the Volume of a Paraboloid

Linear approx. with differentials

Quadratic Approximation of a Product

Trig Integral Practic

Failure of L'Hospital's Rule

Trig Integrals and a Volume of Revolution

Differential Equation With Graph

Hyperbolic trig functions

Volume of a Paraboloid via Disks

Quadratic Approximation

Integration by completing the square

4J3, Diffusion of a Chemical

Using Newton's Method

Integration Practice I

Integration Practice II

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