Title | Description |
---|---|

Infinite geometric series | Find the sum of an infinite geometric series, but only if it converges! |

nth term test | Practice using the nth term test to determine sequence divergence. |

Advanced differentiation challenge | Review your advanced differentiation skills with some challenge problems. |

Ratio test | Practice using the ratio test in order to determine whether a series converges or diverges. |

Direct comparison test | Use the direct comparison test to determine whether series converge or diverge. |

Alternating series | Practice your understanding of the alternating series test and determine whether given series converge conditionally or absolutely. |

Alternating series remainder | Apply the alternating series remainder to approximate alternating series to a given error bound. |

Function as a geometric series | Represent functions with power series by recognizing them as the sum of an infinite geometric series. |

Differential equations intro | Solve some basic problems about checking or finding particular and general solutions to differential equations. |

Power series function representation | Represent a variety of functions with power series, using a wide range of algebraic tools. |

Slope fields & equations | Work on the relationship between differential equations and the slope field that represents them. |

Improper integrals challenge | . |

Maclaurin series of sin(x), cos(x), and eˣ | Use the Maclaurin series of sin(x), cos(x), and eˣ to solve problems about various power series and functions. |

Separable equations | Solve and analyze separable differential equations, like dy/dx=x²y. |

Euler's method | Using the result of an Euler's method approximation to find a missing parameter. |

Integrate & differentiate power series | Practice integrating and differentiating power series, or analyzing the integrals/derivatives of power series. |

Taylor & Maclaurin polynomials intro | Approximate functions using Taylor and Maclaurin polynomials. |

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