Time/Place: MW 8:35-9:25, LS 102

Instructor: Michael van Opstall

Office: JWB 313, Tel: 585-5435

Email: opstall@math.utah.edu

Office Hours: MW 9:30-11:30 and by appointment

Textbook: Asmar,

The course will cover a basic introduction to partial differential equations in two or fewer space variables. No previous exposure to partial differential equations will be assumed. Some aptitude in ordinary differential equations is assumed. The appendix to the textbook covers the methods necessary. A basic understanding of linear algebra is also necessary. Formal prerequisites are three semesters of calculus and Math 2250. A combination of 2270 and 2280 will make the course easier.

There will be three exams plus a final exam. Each midterm counts for 20%; the
final counts for 30%. Collected homework will make up the other 10%.
The homework will be
collected at random on the class period after it is assigned. It may not be
turned in late under any circumstances. Work obviously copied from the
solutions manual will receive no credit. Work "artistically" copied from
the student manual probably isn't helping your understanding. Multipage
homeworks *must* be stapled when turned in, or I will not grade them.

I intend to use a "straight" grading scale where 90-100 is A or A-, 80-90 is
B+, B, or B-, etc. Exams may not be made up after the date without a (documented) exceptional reason (e.g. serious illness, death in the family). For
*University related*
circumstances, an
exam may be taken in the testing center in advance (they charge $5 to
proctor), *if* I am
informed at least one week in advance.

ADA statement: The Americans with Disabilities Act requires that reasonable accomodations be provided for students with physical, cognitive, systemic, learning, and physical disabilities. Please contact me at the beginning of the semester to discuss any such accomodations you may require for this course.

Date | Material covered | Homework |
---|---|---|

Part I: Fourier series and PDE in one space variable
| ||

8/25 | 1.1-1.2, 3.1 | 1.1 #13,14; 1.2 #5a,7,9 |

8/27 | 2.1-2.2 | 2.1 #1,6,9; 2.2 #5a,9a,11,17 |

9/3 | 2.3-2.4 | 2.3 #3,7,9; 2.4 #7,11,15 |

9/8 | 3.3 | 3.3 #5,7,9 |

9/10 | 3.4-3.5 | |

9/15 | Catchup, review | Sample exam |

9/17 | Midterm I | |

Part II: PDE in two space variables | ||

9/22 | 3.7 | 3.7: 3,5 |

9/24 | ||

9/29 | 3.8,4.1 | 3.8:3,5,6 |

10/1 | 4.7-4.8, 4.2 | 4.1: 1-3,6 |

10/6 | 4.2-4.3 | 4.2: 3,8 |

10/8 | 4.4 | Take-home part of midterm: 4.3: 2,7 |

10/20 | Catchup, review | |

10/22 | Midterm II | |

Part III: Review and Enhancements | ||

10/27 | 1D wave eqn revisted | 3.3 #14,15 |

11/10 | Catchup, review | Exam review problems: p 125 #12-15; p 145 #16; p 152 #16; p 153 #17; p 225 #17. |

11/12 | Midterm III | |

Part IV: The Fourier Transform | ||

11/17 | 7.1-7.2 | 7.1 #2,3; 7.2 #3,4,19,20 |

11/19 | 7.2 | 7.2 #37,49 |

11/24 | 7.3 | 7.3 #15,16; 7.4 #6,8 |

11/26 | 7.4 | |

12/1 | 7.8 | 7.8 #1,2,5,6 |

12/3 | 7.9 | |

12/8 | Review | |

12/10 | Review |

Instructor's web page opstall@math.utah.edu