HOW TO USE THIS SYLLABUS: Students should prepare for class by reading the material to be covered in lecture. Regularly check the syllabus page for updates and for handouts and additional problems.

In the syllabus, sections from Strauss, Bradley, Smith are labelled SBS. Sections from Goldstein, Lay, and Schneider, available, with access code, at http://www.prenhall.com/rutgerscalc, are labelled GLS.

Lecture | Topic | Sections | Problems | Due date |

1, 1/20 | Integration Review | SBS 5.3-5.5 | SBS 5.3: 3,27 SBS 5.4: 7,15,19,45 SBS 5.5: 9,11,13,17,19,21,29,33,39 |
1/22 |

2, 1/23 | Numerical Integration | SBS 5.8 | SBS 5.8: 3,7,11,13,19,21,27,29 Programs for TI-82 Programs for TI-82/TI-85 | 1/29 |

3, 1/27 | Area between curves | SBS 6.1 | SBS 6.1: 1,3,5,9,12,13,15,19,24,31 | 1/29 |

4, 1/30 | Volumes | SBS 6.2 | SBS 6.2: 1,5,7,9,13,15,20,25,31,35,41,42,55,59 | 2/5 |

5, 2/3 | Volumes, Applications | SBS 6.2, 6.6 | SBS 6.6: 5,9,15,17,21 | 2/5 |

6, 2/6 | Applications | SBS 6.6 | SBS 6.6: 25,28,29,39,49,53,57 | 2/12 |

7, 2/10 | Integration by Parts; Integration Tables | SBS 7.1, 7.2 | SBS 7.1: 3,5,11,13,15,17,27,31,42,47,53 SBS 7.2 1,3,7,13,17,21,22,26,35,37 |
2/12 |

8, 2/13 | Trig. integrals, partial fractions | SBS 7.3, 7.4 | SBS 7.3: 5,7,11,12,13,17,19,22,49,53,57, SBS 7.4: 1,2,5,7,11,15,17,19,23,27,29,31,57,59 | 2/19 |

9, 2/17 | Differential Equations Separable equations |
SBS 5.6 | SBS 5.6: 1,5,7,9,11,17,20,21,23,25,27,29,45,47,61,63 | 2/19 |

10, 2/20 | Differential Equations First order | SBS 7.6 | SBS 7.6: 1,5,11,13,23,24,25,28,25,43 | 2/26 |

11, 2/24 | Improper Integrals | SBS 7.7 | SBS 7.7: 3,5,13,17,19,21,25,27,31,33,35,39,47,49 | 3/4 |

12, 2/27 | FIRST MIDTERM | |||

13, 3/2 | Taylor polynomials |
GLS 11.1 | 11.1: 1,5,7,13,15,17,19,22,27,29,30 | 3/4 |

14, 3/5 | Sequences | SBS 8.1 | SBS 8.1: 5,9,13,17,23,25,31,42-45,47 | 3/11 |

15, 3/9 | Geometric Series | SBS 8.2 | SBS 8.2:3-8,15,16,23,25,33,39,41,49,53,56 | 3/11 |

16, 3/12 | Convergence tests | SBS 8.3,8.4 | SBS 8.3: 3,4,5,7,9,13,15,19,21,29,33,43,45,55 SBS 8.4: 1,3,9,12,13,17,19,27,33,37,47,53 | 3/25 |

17, 3/23 | Ratio and root tests | SBS 8.5 | SBS 8.5: 3,5,7,9,13,17,21,29,33,39,53 | 3/25 |

18, 3/26 | Absolute convergence Alternating series | SBS 8.6 | SBS 8.6: 5,7,9,11,13,17,21,25,31,35,39,49 | 4/1 |

19, 3/30 | Power series | SBS 8.7 | SBS 8.7: 1,5,9,11,13,17,21,25,31,35,39,49 | 4/8 |

20, 4/2 | SECOND MIDTERM | |||

21, 4/6 | Taylor series | SBS 8.8 | SBS 8.8: 3,7,13,21,25,31,33,39,49,55,60,69 | 4/8 |

22, 4/9 | Functions of several variables | GLS 7.1 | GLS 7.1: 7,3,15,15,17,18,19,23-26 | 4/15 |

23, 4/13 | Partial Derivatives | GLS 7.2 | GLS 7.2: 3,4,9,15,18,25,26,27,28,35 | 4/15 |

24, 4/16 | Maxima and Minima | GLS 7.3 | GLS 7.3: 3,5,8,11,12,14,16,17,23,26,29,31,33 | 4/22 |

25, 4/20 | Constrained Optimization | GLS 7.4 | GLS 7.4: 1,5,9,11,12,13,15,18,19,25,26 | 4/22 |

26, 4/23 | Least Squares Regression | GLS 7.5, 7.6 | GLS 7.5: 1,3,5,9,11,15 GLS 7.6: 1,3,5 | 4/29 |

27, 4/27 | Double Integrals | GLS 7.7 | GLS 7.7: 1,3,5,6,9,11,13,14 | 4/29 |

28, 4/30 | Catch-up, review |