SYLLABUS | |
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Weeks |
Topics |

1 | Preliminaries (solving inequalities and equations, absolute value, rational expressions, factoring, quadratic equations, simplifications), |

Functions and Graphs, Lines, Parabolas and Linear Functions, | |

2 | Quadratic Functions, Exponential and Logarithmic Functions |

Simple and Compound Interest, Present and Future Values, Annuities | |

3 | Limits, Infinite Limits, Limits at infinity |

Continuity, Differentiation | |

4 | Differentiation, Rules for Differentiation |

The Product and Quotient Rule, The Chain Rule | |

5 | Derivatives of Logarithmic and Exponential Functions |

Applications of Derivatives, Marginal Analysis | |

6 | Curve Sketching, Optimization |

Antiderivatives and Indefinite Integrals, Definite Integral | |

7 | Substitutiton, Integration by parts, Partial fractions |

Area between curves |