OCW Scholar: Single Variable Calculus

OCW Scholar: Single Variable Calculus

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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. OCW Scholar courses are designed for independent…

Christine Breiner, David Jordan, Joel Lewis


    • Jul 2, 2015 LATEST EPISODE
    • infrequent NEW EPISODES
    • 9m AVG DURATION
    • 87 EPISODES


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    Latest episodes from OCW Scholar: Single Variable Calculus

    Taylor's Series for sec(x)

    Play Episode Listen Later Jul 2, 2015 11:39


    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.

    calculus
    Series Calculation Using a Riemann Sum

    Play Episode Listen Later Jul 2, 2015 13:27


    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.

    calculus calculation riemann
    Integration of Taylor's Series

    Play Episode Listen Later Jul 2, 2015 7:50


    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.

    integration calculus
    Ratio Test -- Radius of Convergence

    Play Episode Listen Later Jul 2, 2015 18:01


    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.

    convergence ratio calculus radius
    Integral Test as Estimation

    Play Episode Listen Later Jul 2, 2015 15:14


    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.

    integral calculus estimation
    Finding Taylor's Series

    Play Episode Listen Later Jul 2, 2015 10:15


    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.

    calculus
    Power Series Practice

    Play Episode Listen Later Jul 2, 2015 10:03


    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.

    practice calculus power series
    Taylor's Series of a Polynomial

    Play Episode Listen Later Jul 2, 2015 7:08


    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.

    calculus polynomials
    Ratio Test for Convergence

    Play Episode Listen Later Jul 2, 2015 13:35


    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.

    convergence ratio calculus
    Comparison Tests

    Play Episode Listen Later Jul 2, 2015 14:16


    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.

    comparison tests calculus
    Integral Test

    Play Episode Listen Later Jul 2, 2015 7:47


    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.

    integral calculus
    Limit of a Series

    Play Episode Listen Later Jul 2, 2015 4:56


    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.

    limit calculus
    Integral of x^n e^(-x)

    Play Episode Listen Later Jul 2, 2015 10:43


    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.

    integral calculus
    Indeterminate forms

    Play Episode Listen Later Jul 2, 2015 11:41


    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.

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    A Solid With Finite Volume and Infinite Cross Section

    Play Episode Listen Later Jul 2, 2015 6:00


    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.

    solid infinite calculus cross section
    Improper Integrals

    Play Episode Listen Later Jul 2, 2015 19:39


    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.

    calculus improper integrals
    l'Hospital Practice

    Play Episode Listen Later Jul 2, 2015 10:47


    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.

    practice calculus l'hospital
    Failure of L'Hospital's Rule

    Play Episode Listen Later Jul 2, 2015 5:56


    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.

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    Integration Practice IV

    Play Episode Listen Later Jul 2, 2015 18:08


    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.

    practice integration calculus
    Integration Practice III

    Play Episode Listen Later Jul 2, 2015 12:25


    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.

    practice integration calculus
    Integration Practice II

    Play Episode Listen Later Jul 2, 2015 14:46


    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.

    practice integration calculus
    Integration Practice I

    Play Episode Listen Later Jul 2, 2015 14:05


    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.

    practice integration calculus
    Parametric Arclength

    Play Episode Listen Later Jul 2, 2015 8:50


    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.

    calculus parametric
    Graph of r = 1 + cos(theta/2)

    Play Episode Listen Later Jul 2, 2015 19:39


    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.

    graphs theta calculus
    Polar to Cartesian

    Play Episode Listen Later Jul 2, 2015 8:41


    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.

    polar calculus cartesian
    Surface Area of a Torus

    Play Episode Listen Later Jul 2, 2015 20:55


    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.

    calculus torus surface area
    Arc Length of y=x^(2/3)

    Play Episode Listen Later Jul 2, 2015 7:02


    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.

    calculus
    Partial Fractions Decomposition

    Play Episode Listen Later Jul 2, 2015 19:03


    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.

    calculus decomposition
    Hyperbolic Trig Sub

    Play Episode Listen Later Jul 2, 2015 16:27


    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.

    calculus trig hyperbolic
    Integrating sin^n(x) Using Reduction

    Play Episode Listen Later Jul 2, 2015 17:02


    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.

    integrating reduction calculus
    Finding u and v' When Integrating by Parts

    Play Episode Listen Later Jul 2, 2015 11:38


    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.

    integrating calculus
    Integration by completing the square

    Play Episode Listen Later Jul 2, 2015 14:04


    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.

    integration square completing calculus
    Explanation of Simpson's rule

    Play Episode Listen Later Jul 2, 2015 14:50


    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.

    explanation calculus
    Integral of tan^4 (theta)

    Play Episode Listen Later Jul 2, 2015 7:58


    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.

    integral theta calculus
    Trig Integrals and a Volume of Revolution

    Play Episode Listen Later Jul 2, 2015 9:23


    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.

    revolution calculus trig integrals
    Trig Integral Practic

    Play Episode Listen Later Jul 2, 2015 11:22


    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.

    integral calculus trig practic
    Using the Trapezoid and Simpson's rules

    Play Episode Listen Later Jul 2, 2015 7:47


    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.

    calculus trapezoid
    Average Velocity

    Play Episode Listen Later Jul 2, 2015 7:20


    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.

    average velocity calculus
    Area Between y=x^3 and y=3x-2

    Play Episode Listen Later Jul 2, 2015 8:53


    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.

    calculus
    Volume of Revolution via Shells

    Play Episode Listen Later Jul 2, 2015 8:32


    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.

    revolution shells calculus
    Average x-Coordinate in a Region

    Play Episode Listen Later Jul 2, 2015 10:40


    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.

    average region calculus coordinate
    Volume of a Paraboloid via Disks

    Play Episode Listen Later Jul 2, 2015 5:54


    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.

    calculus disks
    Second fundamental theorem and quadratic approximation

    Play Episode Listen Later Jul 2, 2015 7:56


    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.

    calculus quadratic approximation fundamental theorem
    Area Between the Graphs of Sine and Cosine

    Play Episode Listen Later Jul 2, 2015 3:59


    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.

    graphs calculus cosine
    Second fundamental theorem and chain rule

    Play Episode Listen Later Jul 2, 2015 5:04


    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.

    calculus fundamental theorem chain rule
    Applying the Second Fundamental Theorem

    Play Episode Listen Later Jul 2, 2015 4:16


    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.

    calculus fundamental theorem
    Definite Integral by Substitution

    Play Episode Listen Later Jul 2, 2015 9:38


    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.

    substitution calculus definite integral
    4J3, Diffusion of a Chemical

    Play Episode Listen Later Jul 2, 2015 12:22


    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.

    chemical diffusion calculus
    Computing the Volume of a Paraboloid

    Play Episode Listen Later Jul 2, 2015 7:11


    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.

    computing calculus
    Definite Integrals of tan(x)

    Play Episode Listen Later Jul 2, 2015 6:08


    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.

    calculus definite integrals
    Summation Notation Practice

    Play Episode Listen Later Jul 2, 2015 14:19


    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.

    practice calculus notation summation

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