Instructor: Luke Rogers

Instructor's Office Hours: Tues 2pm-3:30pm, Thurs 11am-12:15pm. Appointments can be made for Fridays between 10am and 1:15pm, and possibly other times on other days, though not Mondays or Wednesdays. Office hours will be held in MONT 339.

Lectures: Tuesdays and Thursdays, Section 1, 9:30-10:45 MONT 113 and Section 2, 12:30-1:45 MONT 227.

Textbook: Partial Differential Equations: an introduction, 2nd edition, by Walter A. Strauss

Exams: Midterm in class Thursday 10/17. Final will be scheduled by registrars office

Grading Scheme: Homework 30%, Midterm 30% each, Final 40%.

It is expected that you will attend all classes, midterm and the final exam, and complete all homework. Questions on midterms and the final will usually be similar to and occasionally identical to homework questions, so doing the homework will also be beneficial to you on exams. You are expected to read the book outside class. Reading to be completed before each class is listed in the schedule.

Anything covered in class may appear on an exam, whether or not it is in the book. Anything in the sections of the book that are listed on the schedule below may appear on an exam, whether or not it was discussed in class. It cannot be emphasized too much that mathematics is learned by doing, so the work you do outside class will be critical to your success in this course.

Homework will be assigned for each class and is due before the next class, as listed below. Reading and homework assignments may be modified during the semester if we progress more rapidly or more slowly through the text than anticipated.

Solutions for Homework 1

Solutions for Homework 2

Solutions for Homework 3

Solutions for Homework 4

Solutions for Homework 5

Solutions for Homework 6

Solutions for Homework 7

Solutions for Homework 8

Solutions for Homework 9

Solutions for Homework 10

Solutions for Homework 11

Solutions for Homework 12

Date | Topics | Before Class Reading | HW Due |

Tuesday 8/29 | Section 1.1. Prereqs from Appendices 1,2,3. | Pages 1-5. Appendices A.1,2,3 | |

Thursday 8/31 | Section 1.2. | pages 6-10. Try exercises 1.2.2, 1.2.7. | |

Tuesday 9/5 | Sections 1.3, 1.4. | pages 10-20. Try exercises 1.3.2, 1.3.3. | |

Thursday 9/7 | Section 1.4 | pages 20-25. Try exercise 1.4.3. | 1.1.3, 1.1.7, 1.2.3, 1.2.6, 1.3.3 , 1.3.6 |

Tuesday 9/12 | Sections 1.5 and 1.6. | pages 25-31. | |

Thursday 9/14 | Discussion of problems from Chapter 1. | Look back through suggested exercises and homework, bring questions. | 1.4.1, 1.4.4, 1.5.2, 1.5.3, 1.6.2, 1.6.5 |

Tuesday 9/19 | Section 2.1 | pages 33-38. Try exercise 2.1.5 | |

Thursday 9/21 | Sections 2.2 and 2.3 | pages 39-45. Try exercises 2.2.6, 2.3.3. | 2.1.1, 2.1.2, 2.1.8, |

Tuesday 9/26 | Sections 2.4 and 2.5 | pages 46-56 | |

Thursday 9/28 | Discussion of problems from Chapter 2 | Look back through suggested exercises and homework, bring questions. | 2.2.5, 2.3.2, 2.3.4, 2.4.1, 2.4.4, 2.4.9, 2.4.17 |

Tuesday 10/3 | Sections 3.1 and 3.2. | pages 57-63. pages 63-66 are interesting, but we will skip this material. Try exercise 3.1.4. | |

Thursday 10/5 | Section 3.3 and beginning of 3.4 | pages 67-75. Try exercise 3.3.2 | 3.1.2, 3.1.3, 3.2.2, 3.2.5, 3.2.6 |

Tuesday 10/10 | Rest of Section 3.4. | pages 71-79. Try exercises 3.4.4, 3.4.5 (hard), 3.4.12. | |

Thursday 10/12 | Section 3.5 and problems from chapter 3. | pages 80-83. Look back through suggested exercises and homework, bring questions. | 3.3.1, 3.3.3, 3.4.3, 3.4.10, 3.4.12, 3.4.13 |

Tuesday 10/17 | Section 4.1 | pages 83-89 | |

Thursday 10/19 | MIDTERM EXAM | ||

Tuesday 10/24 | Section 4.2 and beginning of 4.3 | pages 90-95 | |

Thursday 10/26 | Section 4.3 (remainder of) and problems from chapter 4 | pages 96-103. Look back through suggested exercises and homework, bring questions. | 4.1.1, 4.1.4, 4.1.6, 4.2.1, 4.2.2, 4.3.2 |

Tuesday 10/31 | Sections 5.1 and 5.2 | pages 104-117. Try exercises 5.1.2 and 5.2.5. | |

Thursday 11/2 | Section 5.3 | pages 118-124. Try exercises 5.3.2 and 5.3.6. | 4.3.6, 4.3.10, 4.3.13, 4.3.14, 5.1.5, 5.1.8, 5.2.1 |

Tuesday 11/7 | Section 5.4 | pages 124-134. try exercises 5.4.1 and 5.4.4. | |

Thursday 11/9 | Section 5.5 | pages 136-145 | 5.2.9, 5.3.2, 5.3.6, 5.3.9, 5.4.3, 5.4.6, 5.4.18 |

Tuesday 11/14 | Section 5.6 | pages 147-151 | |

Thursday 11/16 | Problems from chapter 5 | Look back through suggested exercises and homework, bring questions. | 5.5.4, 5.5.7, 5.6.1, 5.6.4, 5.6.8, 5.6.10 |

Tuesday 11/21 and Thursday 11/23 | Thanksgiving Break | ||

Tuesday 11/28 | Section 6.1 | pages 152-160. Try exercises 6.1.6 and 6.1.7. | |

Thursday 11/30 | Section 6.2 and beginning of 6.3 | pages 161-168. Try exercise 6.2.3. | 6.1.2, 6.1.5, 6.1.8 |

Tuesday 12/5 | Section 6.3 and 6.4. | pages 168-177. Try exercises 6.3.1 and 6.4.8 | |

Thursday 12/7 | Review and problem session | 6.2.3, 6.2.6, 6.3.1, 6.4.2, 6.4.7 |