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Calculus 1

Learn the Maximum and Minimum Values of a Function by examining Local Extrema and Relative Extrema. This necessary component of Calculus will challenge your proficiency on levels tanging from Global Extrama to When Fermat's Theorem Does Not Work. Critical analysis of Fermat's Theorem will be applied and examined in Proof of Fermat's Theorem. Visual representation of this concept will be demonstrated in Graphing Relative Extrema and Graphing Extrema. Further applying the visual sense of extrema is Visualizing Extrema and Visualizing Critical Numbers. Exlore the wide range of applications and graphing abilities found in Maximum and Minimum Values of a Function.

- Extrema
- Relative Extrema
- Finding Relative Extrema
- Graphing Relative Extrema
- Endpoint Extrema
- Graphing Extrema
- The Extreme Value Theorem
- Critical Numbers
- Differentiation and Critical Numbers
- Determining the Critical Numbers of a Function
- Graphing Critical Numbers
- Rolle's Theorem
- Applications of Rolle's Theorem
- The Mean Value Theorem
- Applying the Mean Value Theorem

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 27 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.