**Room**: Hill 124, Busch Campus.**Days**: Tuesdays and Thursdays between May 27th and July 17th, 2008.**Time**: 6:00 pm – 8:30 pm.**Text**:*Dennis G. Zill and Michael R. Cullen*;**Advanced Engineering Mathematics**(*third*edition); Jones and Bartlett, 2006; (ISBN# 0-763-74591-X)- Course Materials and a
course I taught last year.

**Lecturer**: Eduardo E. Osorio.**Office Hours**: Tuesdays and Thursdays from 5:00 pm to 6:00 pm, in Hill 606.

**Exams**: There will be two midterm exams and a final exam.**Homework**: There will be textbook homework. I will collect homework each Tuesday. I will spot-check it for completeness only. You are responsible for making sure you have done all problems correctly. You should work with friends. If you can do EVERY problem, each in a reasonable amount of time, then you will ace the final. I don't accept late work, so if you must miss class, arrange in advance an alternate time to give me your work.**Quizzes**: There will be a short quiz at least once a week when there is no midterm or final. Some will be announced and others a surprise, but given in class and based on the assigned homework problems. They may cover material discussed the same day. You cannot use your notes or books on quizzes. There will be no make-ups for quizzes.**Grades**: Your course grade will be determined by your total grade as follows:

Midterm Exam #1 |
100
pts |

Midterm Exam #2 |
100
pts |

Homework |
075
pts |

Quizzes |
075
pts |

Final Exam |
150
pts |

Total |
500
pts |

**Disclaimer: The information here is tentative and
subject to change or confirmation by announcement in class**

Hand in exercises marked here with *

Write out your answers
neatly in complete English sentences and explain your reasoning

Date |
Problems |

06/03 |
4.1: 3, 5, 9*,
17*, 29*, 35, 43* 4.2: 3*, 15*, 19*, 33, 37*, 39, 44* 4.3: 3, 7*, 9, 13*, 17*, 27, 33*, 39*, 41*, 45, 47*, 49-54, 65* |

06/10 |
4.4: 1, 7*,
11*,
17, 18*, 19, 25*, 37, 39*, 59 4.5: 1, 3, 7* 4.6: 1, 3*, 5, 7* 7.6: 1*, 2*, 3*, 6*, 7* |

06/17 |
7.6: 9,
(11-16)*,
21, 27*, 35* 8.1: 11*, 19*, 29* |

06/24 |
8.1: 23, 35*,
36*, 37* 8.2: 5*, 9*, 11*, 37 8.3: 9*, 11, 13*, 17* 8.4: 17, 21, 25*, 27 8.5: 5, 11, 13, 15*, 21*, 23*, 29*, 33, 37* |

07/01 |
8.6: 3, 9*,
19*, 23*, 25, 27, 29*, 31*, 51*, 53 8.7: 5, 7* 8.8: 5*, 9, 11*, 15*, 17*, 19 8.10: 7*, 9, 11*, 17 |

07/08 |
8.12: 3, 7*,
11*, 15*, 25* 12.1: 3, 5*, 7*, 17 |

07/15 |
12.2: 1*, 5,
7*, 9*, 15*, 17, 19*, 21 12.3: 3, 5, 7*, 13, 19, 23, 27*, 29*, 35 13.1: 3, 5*, 9*, 11, 15* 13.3: 1*, 3*, 4* |

Please note: This syllabus, and the midterm exam dates,
are approximate; our mileage will vary.

# |
Date |
Reading |
Topics |

1 |
05/27 |
4.1,
4.2 |
Laplace
Transform, Inverse, Transform of Derivatives |

2 |
05/29 |
4.2,
4.3 |
Transform of
Derivatives, Translation
Theorems |

3 |
06/03 |
4.3,
4.4, 4.5 |
Translation
Theorems, Additional
Operational Properties, Dirac Delta
Function |

4 |
06/05 |
4.5,
4.6,
7.6 |
Dirac Delta
Function, Systems of
Linear Differential Equations, Vector Spaces |

5 |
06/10 |
7.6 |
Vector Spaces |

6 |
06/12 |
8.1; Midterm | Matrix Algebra; Midterm: #1-4 and some of #5 |

7 |
06/17 |
8.1,
8.2,
8.3 |
Matrix algebra, Systems of Linear Algebraic Equations, Rank of a Matrix |

8 |
06/19 |
8.3,
8.4,
8.5 |
Rank of a
Matrix, Determinants,
Properties of Determinants |

9 |
06/24 |
8.6, 8.7, 8.8 | Inverse of a Matrix, Cramer's Rule, The Eigenvalue Problem |

10 |
06/26 |
8.8,
8.10 |
The Eigenvalue
Problem, Orthogonal
Matrices |

11 |
07/01 |
8.12,
12.1 |
Diagonalization, Orthogonal Functions |

12 |
07/03 |
12.1,
12.2; Midterm |
Orthogonal Functions, Fourier Series; Midterm: some of #5, #6-10, some of #11 |

13 |
07/08 |
12.2, 12.3, 13.1 | Fourier Series, Fourier Sine and Cosine Series, Separable Partial Differential Equations |

14 |
07/10 |
13.2,
13.3 |
Classical Equations and Boundary-Value Problems, Heat Equation |

15 |
07/15 |
13.3,
13.4 |
Heat Equation,
Wave Equation |

FINAL EXAM (entire course): July 17, 6:00 - 8:30 pm |

- Quiz
1 (Solution)

- Quiz 2 (Solution)
- Midterm
Exam (Solution)
(Formula
Sheet)

- Quiz 3 (Solution)
- Midterm
Exam (Solution)

- Quiz 4 (Solution)
- Final
Exam (Solution) (Formula
Sheet)