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## Last updated:

December 22, 2022

## Duration:

Unlimited Duration

FREE

## This course includes:

Unlimited Duration

## 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

5 5

Instructor Rating

1

Reviews

1520

Courses

1823

Students

Massachusetts Institute of Technology

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