Calculus II - Spring 2005

Instructor:
**S. M. Mintchev**

Location:
**Waverly Bldg., Rm. 435**

Instructor Information:

- email address:
**mintchev@cims.nyu.edu** -
office:

**Warren Weaver Hall, Rm. 718** -
telephone:

**212-998-3107** - office hours:
**M 2:00pm - 3:00pm; 5:00pm - 6:00pm**

Grading Policy: There will be
weekly homework assignments, posted by 6:00pm Thursday on this website,
and due at the end of class on the following Tuesday. Usually, about 18
problems will be assigned each week. Of these, the grader for the
course will choose about 6 at random and grade them. Late homework will
NOT be accepted. In addition to these assigments there will be two
exams during the semester; the exams will be administered at the one
third, resp. two thirds, marks of the semester. The first exam will
cover the first third of the material; the second will cover the second
third. There will be a final examination administered during the
end-of-semester examination period; this exam will cover the last third
of material taught in the course. The values of these components
towards the final grade in the course are
presented below:

Component |
Value |

Homework |
20 % |

Exam 1 |
20 % |

Exam 2 |
20 % |

Final Exam |
40 % |

Syllabus (please
note that this schedule is tentative and will
likely be adjusted as the semester progresses):

Date |
Chapter.Section |
Topic |

01/18/2005 |
8.2; 8.6 |
Review of
Integration |

01/20/2005 |
8.7 |
Numerical
Integration |

01/25/2005 |
9.3 - 9.4 | Polar Coordinates; Graphing |

01/27/2005 |
9.5 | Computing Area in Polar |

02/1/2005 | 9.6 - 9.7 |
Parametric Equations |

02/3/2005 | 9.8 |
Arc Length |

02/8/2005 | Appendix I | Complex Numeber System |

02/10/2005 | Appendix I | -same- |

02/15/2005 | 10.1, 10.2 | Sequences, Limit of a Sequence |

02/17/2005 | 10.3 | Limits with Proofs |

02/22/2005 | 10.4 |
Computing
Limits |

02/24/2005 | Exam I |
Exam I |

03/1/2005 | 10.5 | more Proofs |

03/3/2005 | 10.6, 10.7 | Indeterminate Forms, Improper Integrals |

03/8/2005 | 10.7 | -same- |

03/10/2005 | 11.1 | Infinite Series |

03/15/2005 | Spring |
Break |

03/17/2005 | Spring |
Break |

03/22/2005 | 11.1, 11.2 | Infinite Series, Test for Convergence |

03/24/2005 | 11.2 | -same- |

03/29/2005 | 11.3 | Proofs of Convergence |

03/31/2005 | Exam II | Exam II |

04/5/2005 | 11.4 | Conditional Convergence |

04/7/2005 | 11.5 | Taylor Series |

04/12/2005 | 11.6 | -same- |

04/14/2005 | 11.7 | Power Series |

04/19/2005 | 11.8 | -same- |

04/21/2005 | 11.9 | -same- |

04/26/2005 | Appendix II | Numerical Methods |

04/28/2005 | Appendix II | -same- |

Homework Assigments
(please see grading policy section for requirements):

Assigned |
Due |
Homework Exercises |

01/20/2005 | 01/25/2005 | Section 8.2: 18, 32, 40,
43, 44, 52, 73, 74, 78, 79 Section 8.6: 8, 11, 15, 23, 25, 28, 38, 41 |

01/27/2005 |
02/01/2005 |
Section 8.7: 5, 25 Section 9.3: 23, 25, 26, 27, 36, 44, 45, 54, 63 Section 9.4: 23, 24, 29, 35, 40, 45, 48, 49, 54 |

02/03/2005 |
02/08/2005 |
Section 9.5: 7, 15, 24, 29,
31, 35, 41, 42 Section 9.6: 12, 23, 24, 31, 33, 34, 35, 42, 43, 55, 57 |

02/10/2005 |
02/15/2005 |
Section 9.7: 10, 14, 26,
30, 36, 39, 44 Section 9.8: 16, 20, 24, 27, 28, 37, 39, 42, 48, 51 |

02/17/2005 |
02/22/2005 |
Apendix I: 1.5.3, 1.5.4,
1.6.1(a)(b), 1.6.10, 1.7.1(g)(h), 1.7.4, 1.8.1, 1.8.6, 2.3.3(a)(b),
2.3.5, 2.3.6, 2.4.5, 2.4.6, 2.4.9 |

02/23/2005 |
03/01/2005 |
Section 10.2: 11, 27, 41,
45, 49, 57, 61, 63 Section 10.3: 27, 30, 35, 36, 39, 40, 46, 56 Solutions |

03/03/2005 |
03/08/2005 |
Section 10.4: 7, 29, 35, 38
(abc), 41 (ab), 43, 44, 45, 47, 49 Section 10.5: 1, 25, 45, 46, 48, 50, 51, 52 Solutions |

03/10/2005 |
03/22/2005 |
Section 10.6: 7, 20, 21,
30, 37, 41, 53, 57, 59 (ab), 62 Section 10.7: 13, 20, 23, 24, 34, 37, 38 (ab), 39, 56, 57 (ab), 60 Solutions |

03/24/2005 |
03/29/2005 |
Section 11.1: 14, 17, 24,
39, 44, 47 Section 11.2: 15, 25, 32, 34, 40, 47, 48, 50, 54 Section 11.3: 19, 27, 28, 30, 37, 38, 45 Solutions |

03/30/2005 |
04/05/2005 |
Section 11.4: 3, 13, 24,
26, 30, 31, 36, 44, 47, 50 Section 11.5: 8, 21, 25, 28, 32, 43, 45, 49, 50, 52, 58, 63 Solutions |

04/07/2005 |
04/12/2005 |
Section 11.6: 1, 5, 9, 12,
26, 28, 32, 34 (abc) Section 11.7: 1 (abcd), 2(abcd), 7, 11, 25, 31, 39, 41 (abc), 45, 48 Solutions |

04/14/2005 |
04/19/2005 |
Section 11.8: 3, 8, 15, 23,
25, 27, 29, 31, 39, 41, 43, 44, 49, 50 Section 11.9: 3, 11(ab), 14, 17 Solutions |