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Last updated:

December 22, 2022


Unlimited Duration


This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration


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

Course Curriculum

  • Velocity and Rates of Change Unlimited
  • Limits and Continuity Unlimited
  • Differentiation Formulas: Products and Quotients Unlimited
  • Chain Rule and Implicit Differentiation Unlimited
  • The Derivatives of Exponential and Logarithm Functions Unlimited
  • The Derivatives of Trigonometric Functions Unlimited
  • Review for Exam 1 Unlimited
  • Approximations Unlimited
  • Curve Sketching Unlimited
  • Max-Min Problems Unlimited
  • Related Rates Unlimited
  • Inequalities, Zeros, and Newton’s Method Unlimited
  • Differentials and Indefinite Integrals Unlimited
  • Definite Integrals Unlimited
  • The Fundamental Theorem of Calculus Unlimited
  • Properties of Definite Integrals Unlimited
  • Differential Equations and Separation of Variables Unlimited
  • Numerical Integration and Review of Unit 3 Unlimited
  • Areas between Curves, Volumes of Revolutions, and Slicing Unlimited
  • Volumes by Shells and Average Values Unlimited
  • Parametric Equations and Arc Length Unlimited
  • Surface Area and Polar Coordinate Graphs Unlimited
  • Area and Arc Length in Polar Coordinates Unlimited
  • Inverse Trigonometric Functions and Hyperbolic Functions Unlimited
  • Integration by Inverse Substitution Unlimited
  • Integration by Partial Fractions Unlimited
  • Integration by Parts Unlimited
  • Indeterminate Forms and L’Hospital’s Rule Unlimited
  • Improper Integrals Unlimited
  • Infinite Series Unlimited
  • Power Series Unlimited
  • Final Review Unlimited

About the instructor

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Massachusetts Institute of Technology
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