Free Professional Development

Or

Calculus 1

From Riemann Sums, to Anti-Differentiation, our Introduction to Integrals course covers a range of methods to calculating integrals. Learn the First Fundamental Theorem of Calculus and how to write integrals in Integral Notation. Challenge yourself with Computing a Trapezoidal Riemann Sum and Taking the Integral of a Derivative.

- Riemann Sums
- Finding a Left Riemann Sum
- Finding a Right Riemann Sum
- Computing a Middle Riemann Sum
- Computing a Trapezoidal Riemann Sum
- Anti-Differentiation
- Integrals
- Integral Notation
- Integration and Parameters
- Units and Integration
- First Fundamental Theorem of Calculus
- Taking the Derivative of Integral
- Taking the Integral of a Derivative
- Finding Extrema on an Interval

Study fundamental topics in college-level algebra with emphasis on application.

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

Pathways are a sequence of tutorials that help you learn a whole subject area, one concept at a time. Choose from multiple teachers and teaching styles.

The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 26 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.