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Calculus 1

From basic concepts such as Finding a Rule, Infinite Sequences and Alternating Sequences to more complex functions such as Divergent Sequences, Limits of Monotonic Sequences and Convergent Series, and Squeeze Theorem, you will intensify the critical thinking skills. By integrating concepts that underlie many rules, techniques and methods, you will establish a well-developed sense of the mathematical language necessary for advanced topics.

- Infinite Sequences
- Finding a Rule
- Alternating Sequences
- Limits of Sequences
- Limits of Alternating Sequences
- Convergent Sequences
- Recognizing Convergent Sequences
- Divergent Sequences
- Recognizing Divergent Sequences
- Monotonic Sequences
- Sequence Limit Laws
- Sequence and Functions
- Squeeze Theorem
- Using a Function to Find a Limit
- Infinite Series
- Convergent Series
- Limits of Convergent Series
- Divergent Series
- Harmonic Series
- P-Series
- Limits of P-series
- Geometric Series
- Limits of Geometric Series
- Taylor Series
- Error Bounds of Taylor Series
- Constructing Taylor Series
- Maclaurin Series
- Constructing Maclaurin Series
- Ratio Test
- Using the Ratio Test

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.