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Last updated:

September 23, 2023

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This course includes:

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Description

Calculus Revisited: Single Variable Calculus (Res.18-006, MIT OCW). Taught by Professor Herbert Gross, this course gives an overview of single variable calculus covering various topics: sets, functions, differential calculus, integral calculus, trigonometric functions, logarithms, and infinite series.

Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course. The series was first released in 1970 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time. (from ocw.mit.edu)

https://www.youtube.com/watch?v=MFRWDuduuSw&ab_channel=MITOpenCourseWare

Course Curriculum

    • Part I, Lecture 01 – Analytic Geometry Unlimited
    • Part I, Lecture 02 – Functions Unlimited
    • Part I, Lecture 03 – Inverse Functions Unlimited
    • Part I, Lecture 04 – Derivatives and Limits Unlimited
    • Part I, Lecture 05 – A More Rigorous Approach to Limits Unlimited
    • Part I, Lecture 06 – Mathematical Induction Unlimited
    • Part II, Lecture 01 – Derivatives of Some Simple Functions Unlimited
    • Part II, Lecture 02 – Approximations and Infinitesimals Unlimited
    • Part II, Lecture 03 – Composite Functions and the Chain Rule Unlimited
    • Part II, Lecture 04 – Differentiation of Inverse Functions Unlimited
    • Part II, Lecture 05 – Implicit Differentiation Unlimited
    • Part II, Lecture 06 – Continuity Unlimited
    • Part II, Lecture 07 – Curve Plotting Unlimited
    • Part II, Lecture 08 – Maxima and Minima Unlimited
    • Part II, Lecture 09 – Rolle’s Theorem and its Consequences Unlimited
    • Part II, Lecture 10 – Inverse Differentiation Unlimited
    • Part II, Lecture 11 – The “Definite” Indefinite Integral Unlimited
    • Part III, Lecture 01 – Circular Functions Unlimited
    • Part III, Lecture 02 – Inverse Circular Functions Unlimited
    • Part IV, Lecture 01 – The Definite Integral Unlimited
    • Part IV, Lecture 02 – Marriage of Differential and Integral Calculus Unlimited
    • Part IV, Lecture 03 – Three-Dimensional Area Unlimited
    • Part IV, Lecture 04 – One-Dimensional Area Unlimited
    • Part V, Lecture 01 – Logarithms without Exponents Unlimited
    • Part V, Lecture 02 – Inverse Logarithms Unlimited
    • Part V, Lecture 03 – What a Difference a Sign Makes Unlimited
    • Part V, Lecture 04 – Inverse Hyperbolic Functions Unlimited
    • Part VI, Lecture 01 – Some Basic Recipes Unlimited
    • Part VI, Lecture 02 – Partial Fractions Unlimited
    • Part VI, Lecture 03 – Integration by Parts Unlimited
    • Part VI, Lecture 04 – Improper Integrals Unlimited
    • Part VII, Lecture 01 – Many Versus Infinite Unlimited
    • Part VII, Lecture 02 – Positive Series Unlimited
    • Part VII, Lecture 03 – Absolute Convergence Unlimited
    • Part VII, Lecture 04 – Polynomial Approximations Unlimited
    • Part VII, Lecture 05 – Uniform Convergence Unlimited
    • Part VII, Lecture 06 – Uniform Convergence of Power Series Unlimited

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