Contents

- Chapter 1. Integrals
- Areas and Distances. The Definite Integral
- The Evaluation Theorem, The Fundamental Theorem of Calculus
- The Substitution Rule , Integration by Parts
- Trigonometric Integrals and Trigonometric Substitutions
- Partial Fractions, Integration using Tables and CAS
- Numerical Integration, Improper Integrals

- Chapter 2. Applications of Integration
- More about Areas, Volumes, Arc Length, Parametric Curves
- Average Value of a Function (Mean Value Theorem)
- Applications to Physics and Engineering, Probability

- Chapter 3. Differential Equations
- Differential Equations and Separable Equations
- Directional Fields and Euler’s Method
- Exponential Growth and Decay

- Chapter 4. Infinite Sequences and Series
- Sequences, Series, The Integral and Comparison Tests
- Other Convergence Tests, Power Series
- Representation of Functions as Power Series
- Taylor and MacLaurin Series

Description : | The textbook for this course is Stewart: Calculus, Concepts and Contexts (2th ed.), Brooks/Cole. With few exceptions I will follow the notation in the book. PDF book. |

Level : | Intermediate |

Created : | March 28, 2016 |

Size : | 527.42 KB |

File type : | |

Pages : | 120 |

Author : | Miguel A. Lerma |

Downloads : | 533 |

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