**MATH 5720, Section 001, Spring 2009**

TTh 10:45AM-12:05PM, LCB 323 (LeRoy Cowles Building)

## Instructor: |
Damon Toth LCB 315 (LeRoy Cowles Building) tel: 585-7657 fax: 581-4148 toth[at]math[dot]utah[dot]edu Office Hours:TBA |

Course description | Prerequisites | Textbook | Syllabus | Schedule | Grading | Resources |

The course is mostly based on the topics in this text, and homework problems will be assigned from the book.

- Fourier Series and Orthogonal Expansions
- Discrete Fourier Series and Convolution
- Fourier Integrals
- Intial-Value Problems for Ordinary Differential Equations
- Stability and the Phase Plane and Chaos
- The Laplace Transform and the
*z*-Transform - The Heat Equation and the Wave Equation
- Nonlinear Conservation Laws
- Network Flows and Combinatorics
- Optimization

Assigned Date | Due Date | Homework Problems / Handouts | |

First day of class |
Tues. Jan. 13 |
||

Homework #1 | Thurs. Jan. 15 | Thurs. Jan. 22 | 4.1.1, 4.1.2, 4.1.4, 4.1.8 |

Homework #2 | Thurs. Jan. 22 | Thurs. Jan. 29 | 4.1.10, 4.1.13, 4.1.16, 4.1.18(b and c only), 4.1.34 |

Homework #3 | Thurs. Jan. 29 | Thurs. Feb. 5 | 4.2.1, 4.2.2, 4.2.4, 4.2.5, 4.2.7, 4.2.8 |

Homework #4 | Thurs. Feb. 5 | Thurs. Feb. 12 | 4.3.1, 4.3.2, 4.3.3, 4.3.8, 4.3.10, 4.3.12 |

Homework #5 | Thurs. Feb. 12 | Thurs. Feb. 19 | 6.1.1, 6.1.2, 6.1.3, 6.1.4, 6.1.5, 6.1.6, 6.1.8, 6.1.11 |

Homework #6 | Thurs. Feb. 19 | Thurs. Feb. 26 | 6.1.13, 6.1.15, 6.1.18, 6.1.20, 6.1.21 |

Midterm Exam (in class) |
Thurs. Mar. 5 |
||

Homework #7 | Thurs. Feb. 26 | Thurs. Mar. 12 | 6.2.1, 6.2.3, 6.2.4, 6.2.7, 6.2.9, 6.2.13 |

No Class (spring break!) |
Tues. Mar. 17 | ||

No Class (spring break!) |
Thurs. Mar. 19 | ||

Homework #8 | Thurs. Mar. 12 | Thurs. Mar. 26 | HW8.pdf |

Homework #9 | Thurs. Mar. 26 | Thurs. Apr. 2 | 6.3.1, 6.3.2, 6.3.5 |

Homework #10 | Thurs. Apr. 2 | Thurs. Apr. 9 | 6.3.17(a,b,c), 6.3.20, 6.4.1, 6.4.5, 6.4.6 |

Homework #11 | Thurs. Apr. 9 | Thurs. Apr. 16 | 6.4.11, 6.4.12, 6.4.13, 6.4.15 |

Homework #12 | Thurs. Apr. 16 | Thurs. Apr. 23 | HW12.pdf |

Last day of class |
Tues. Apr. 28 |
||

No class (Reading Day) |
Thurs. Apr. 30 |
||

Final Exam Take-Home Portion | Tues. Apr. 28 | Wed. May. 6 | |

Final Exam |
Wed. May 6 |
10:30AM-12:30PM, in our classroom |

There will be a midterm exam accounting for 20% of the final grade, and a final exam accounting for 30% of the final grade. A portion of the final exam will be given as take-home problems on the last day of class, to be handed in at the in-class final.

The author of the textbook, Gilbert Strang, teaches courses that cover some of this material at MIT, and the course materials (including videos of his lectures) from some recent semesters are available to the general public. Try Math 18.085 and Math 18.086 for course material on topics we're covering.

**Students with disabilities** may contact the instructor at
the beginning of the semester to discuss special accomodations
for the course.

<toth[at symbol]math[dot]utah[dot]edu> |