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### Contact

Jenny Vanden Eynden

Mathematics Professor

Email: jenny.vandeneynden@gcccd.edu

**Syllabus, Daily Schedule, Homework assignments**

WebAssign.com **Spring 2016 CLASS KEY**: **gcccd 6641 3781**

Review 5.5 | Integration by Substitution | 5, 9, 21, 29, 33, 47, 55, 59, 63 |

7.1 | Integration by parts | 1 – 21 odd, 27, 29, 33, 37, 55, 57 |

7.2 | Trigonometric integrals | 3 – 43 odd, 56, 61 |

7.3 | Trigonometric substitution | 1 – 29 odd |

7.4 | Partial fraction decomposition | 3 – 15 odd, 21, 23, 25 |

7.5 | Techniques of integration | try a variety of about 15 problems, or do: 3, 9-17odd, 21, 27, 29, 33, 35, 37, 43, 51, 61 |

7.7 | Approximate integration | 1 – 13 odd |

7.8 | Improper integrals | 1 – 37 every other odd, 49, 51 |

11.1 | Sequences | 1 – 53 odd, 61, 65, 71 *We will spend two days in this section. |

11.2 | Series | 1 – 45 odd, 49, 79 *We will spend two days in this section. |

11.3 | Integral test | 1 – 27 odd, 33, 37 |

11.4 | Comparison test | 1 – 35 odd |

11.5 | Alternating series test | 1 – 29 odd |

11.6 | Ratio and root tests | 1 – 29 odd |

11.7 | Strategies for testing series | 1 – 37 odd |

11.8 | Power Series | 1 – 27 odd |

11.9 | Representing functions as power series | 1 – 29 odd |

11.10 | Taylor and Maclaurin series | 1 – 45 odd |

11.11 | Applications of Taylor polynomials | 1 – 25 odd |

10.1 | Curves defined by parametric equations | 1 – 31 odd |

10.2 | Calculus with parametric curves | 1 – 13 odd, 17, 19, 25, 29, 37, 39 |

10.3 | Polar coordinates | 1 – 11 odd, 15-23 odd, 27, 29-47 every other odd (you can use your calculator to help graph) |

10.4 | Areas and lengths in polar coordinates | 1 – 39 every other odd |

10.5 | Conic sections | Review section, not collected (if you need review: 1 – 47 odd) |

10.6 | Conic sections in polar coordinates | 1 – 23 odd |

Exam 1 Review Sheet (7.1-7.7)& **Answers**

Exam 2 Review Sheet (7.8, 11.1-11.4)**& Answers, Theorem Sheet**

**Exam 3 Review Sheet (11.5-11.10), Answers to Review#3**

**Review Sheet (11.10, 11.11, 10.1-10.4), Solutions**

**Final Review Sheet, Final Exam Formula Sheet**

** **

**Review Topics**

5.5_Integration by substitution (from Calc I)

Partial Fraction Decompostion (from Precalc)

**Chapter 7**

M280_7.5 Integration Strategy, **Answers**

M280_7.7 Approximating Integrals

**Chapter 11**

M280_11.1 Sequences day 2, ** Answers**

M280_11.2 More Intro to Series

M280_11.4 Comparison Tests, ** Answers**

M280_11.5 Alternating Series Test

M280_11.7 Summary of Convergence Tests

M280_11.7 Which Test to use? Mix of Problems, Answers

M280_11.8 Intro to Power Series

M280_11.8 Power Series and Radius of Convergence

M180_11.9 Representing functions with Power Series

M280_11.10 Intro to Taylor Series

M280_11.10 Maclaurin Series Examples

**Chapter 10**

M280_10.1 Intro to Parametric Equations

M280_10.2 Calculus Applications w/ Parametric Equations

M280_10.3 Polar Coordinates, plotting points

M280_10.5 Conic Sections in Polar Coordinates

Jenny Vanden Eynden

Mathematics Professor

Email: jenny.vandeneynden@gcccd.edu

PLEASE NOTE: This link will take to a website outside of the college site.