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Created by:

Last updated:
December 22, 2022
Duration:
Unlimited Duration

FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
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