Calculus I MathRoom |

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Lessons in the Calculus 1 MathRoom | ||

logID |
File Name |
Topic Covered |

caldtbx | Whole Course "Toolbox" |
outline of & notes for Calculus I (science) |

cald1 | algebraic limits | algebraic, abs value , one-sided , piecewise defined |

cald9 | limit theorems | limits, at infinity, even-odd theorem |

cald13 | trig limits | limits of (sin h) / h, (1 - cos h) / h, other trig limits |

cali5 | l'Hopital's Rule | finding limits easily with l'Hopital's rule |

cald3 | continuity | test for continuity, classic exam question |

cald8 | increments & differentials | small changes, increments, differentials |

cald6a | definition of the derivative | Newton's quotient, alternative definition of derivative |

cald6b | exponential and log derivatives | derivatives of exponential and logarithmic functions |

cald6 | derivative rules with examples | differentiation of all kinds of functions |

cald5 | derivative as a rate of change | velocity, acceleration, marginal cost, revenue |

cald5a | power, product & quotient rule | differentiating with power, product & quotient rule |

cald5b | the chain rule | differentiating composite functions with the Chain Rule |

cald7 | implicit & log diff | implicit and logarithmic differentiation |

cald12 | Rolle's & Mean Value Theorems | Rolle's thm, Mean V. thm for derivatives |

cald4 | curve sketching | 1st and 2nd derivative tests to sketch curves |

cald10 | max-min problems | optimization, examples with diagrams |

cald11 | related rates problems | related rates word problems |

cald2 | antiderivatives | antidifferentiation, differential equations |

Assignments & Review Questions | ||

logID |
File Name |
Topic Covered |

precalxr | pre-calculus review exercise | inequalities, lines and circles equations |

asgn1 | cal I assignment #1 (with solns) | limits, piecewise defined limits, continuity |

asgn2 | cal I assignment #2 (with solns) | derivatives, implicit, higher order derivatives |

asgn3 | cal I assignment #3 | implicit, related rates, differentials, curve sketching |

asgn3sl | assignment #3 Solutions | solutions for questions on above |

asgn4 | assignment #4 (with solns) | inverse trig functions, derivatives, maximize problem |

maxmins | max/min problems | optimization word problems |

mormaxmins | more max/min problems | word problems on optimizing (with solutions) |

asgn5 | assignment #5 (with solns) | exponential, logarithmic derivatives |

caldxmsrv | cal I Xmas review | questions on limits, derivatives, velocity, acceleration, graphs |

caldxmsrvsl | cal I Xmas review solutions | solutions for questions on cal I Xmas review |

Tests & Exams | ||

caldtest1 | Test #1 | Inequalities, Limits, Derivatives |

caldtest1sl | Test #1 Solutions | Solutions for questions on test #1 |

caldtest2 | Test # 2 | differentials, related rates, optimization, mean value thm, |

caldtest2sl | Test # 2 Solutions | Solutions for questions on test # 2 |

caldtest3 | Test # 3 | log, exponential & implicit derivatives, graphs, antiderivatives |

caldtest3sl | Test # 3 Solutions | Solutions for questions on test # 3 |

caldfnlxm | Final Exam | questions on entire course |

caldfnlxmsl | Final Exam Solutions | solutions for questions on entire course |

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*(all content of the MathRoom Lessons **© Tammy the Tutor; 2002 - 2005)*