Math 1A Syllabus

Week of | Mon | Wed | Fri | Topics |

1/18 | Holiday | 1.1, 1.2 | 1.2, 1.3 | Functions and mathematical models. Operations on functions. |

1/25 | 1.5 | 1.6 | 2.1 | Exponential functions. Inverse functions and logarithms. Tangents and velocity. |

2/01 | 2.2 | 2.3 | 2.4 | Limits. Limit laws. The precise meaning of limits. |

2/08 | 2.5 | 2.6 | 2.7 | Continuity. Asymptotes. Derivatives and rates of change. |

2/15 | Holiday | Midterm | 2.8 | Derivatives as functions. |

2/22 | 3.1 | 3.2, 3.3 | 3.4 | Differentiation of polynomials and exponential functions. Products and quotients. Trigonometric functions. Chain Rule. |

3/01 | 3.5 | 3.6 | 3.7, 3.8 | Implicit differentiation. Logarithms. Rates of change. Exponential growth. |

3/08 | 3.9, 3.10 | 3.10 | 4.1 | Related Rates. Linear approximation. Maximization |

3/15 | 4.2 | 4.2, 4.3 | 4.3 | Maximization. Mean value theorem. Graphing |

3/22 | Spring Break | |||

3/29 | 4.4 | 4.5 | Midterm | Limits again. Graphing again. |

4/05 | 4.7 | 4.8 | 4.9 | Optimization again. Newton's Method Antiderivatives. |

4/12 | 5.1 | 5.2 | 5.2 | Area. Definite integral. |

4/19 | 5.3 | 5.4 | 5.5 | The fundamental theorem. Indefinite integrals. Integration by substitution |

4/26 | 6.1 | 6.2 | 6.5 | Applications. |

5/03 | Review | Reading Week |

The above schedule is just a rough guide and subject to change as the course progresses.