Lecture
Time: 10:00am – 11:50am (MW) Location: Knudson
Hall 301

Prerequisite: Math
2070 and Math 2080

Instructor:
Mei Yin __mei.yin@du.edu__

Office and Office Hours: Knudson Hall 203B, 2:00pm – 3:30pm
(MW), or by appointment

Lecture Schedule: Here is a plan of the
course (may be altered for pedagogical reasons as the
course develops).

Ch. 1: Heat Equation |
2 weeks |

Ch. 2: Method of Separation of Variables |
3 weeks |

Ch. 3: Fourier Series |
2 weeks |

Ch. 4: Wave Equation: Vibrating Strings and
Membranes |
1 week |

Ch. 10: Infinite Domain Problems: Fourier
Transform Solutions of Partial Differential Equations |
2 weeks |

Course Description: Topics of study will include first and second order linear equations, Fourier series, the wave equation, the Cauchy problem, the heat equation, maximum principles, Laplace's equation, and Green's functions.

Tentative Calendar:

The Week Of |
Material Covered |

January 6 – January 10 |
Introduction, 1.1, 1.2, 1.3 |

January 13
– January
17 |
1.4, 1.5, 2.1 |

January 21 – January
24 |
2.2, 2.3 |

January 27 – January
31 |
2.3, 2.4 |

February 3 – February
7 |
2.5, Review |

February 10 – February
14 |
Midterm, 3.1 |

February 17 – February
21 |
3.2, 3.3 |

February 24 – February
28 |
4.1, 4.2 |

March 2 – March 6 |
10.1, 10.2 |

March 9 – March 13 |
10.3, 10.4 |

March 16 |
Review |

Grading: Your final grade for the course will be determined based on a numerical weighted average calculated as follows:

Homework: Homework will
be assigned about once a week. The due date is every Monday
at the beginning of the class. Homework must be
turned in promptly to receive credit. For submitted problems,
students are expected to show work and justify their answers.
Please write your name on the first page. If you are
submitting multiple pages, please staple them together. **The eight highest
homework scores will contribute to 30% of your final
grade**.

Exams: A **midterm** is
tentatively scheduled **during
class time** on **Monday,
February 10**. The **final
exam** is
scheduled on **Friday,
March 20 **at** 10:00am**** –**** 11:50am** in **our
usual classroom**. Makeup exams will only be offered in
the event of extreme circumstances. If you think you have a
problem which will force you to miss an exam, come talk to
me as soon as possible.

Help: **Additional
handouts will be distributed throughout the quarter**.
Students are also encouraged to ask for individualized
help from the instructor at any time.

Students with
Disabilities: If you qualify for academic accommodations
because of a disability or medical issue, please submit
a faculty letter to me from Disability Services Program
(DSP) in a timely manner so that your needs may be
addressed. DSP determines accommodations based on
documented disabilities/medical issues. DSP is located
on the 4th floor of Ruffatto Hall, 1999 E Evans Ave,
303-871-2278. Information is also available online at http://www.du.edu/disability/dsp;
see the Handbook
for Students with Disabilities.

Religious Accommodations:
University policy grants students excused absences from
class or other organized activities for observance of
religious holy days, unless the accommodation would
create an undue hardship. Faculty are asked to be
responsive to requests when students contact them **in
advance** to
request such an excused absence. Students are
responsible for completing assignments given during
their absence, but should be given an opportunity to
make up work missed because of religious observance.
Once a student has registered for a class, the student
is expected to examine the course syllabus for potential
conflicts with holy days and to notify the instructor by
the end of the first week of classes of any conflicts
that may require an absence (including any required
additional preparation/travel time). The student is also
expected to remind the faculty member in advance of the
missed class, and to make arrangements in advance (with
the faculty member) to make up any missed work or
in-class material within a reasonable amount of time.

Note: Homework assignments on this
page are subject to change. The website is always the most
accurate source for assignments, so if you print out a copy of
this page early, check the web each week to make sure the
problems have not been changed. Your teacher will also call
attention to it whenever any change
is made.

Work the following homework problems at the appropriate time.

Chapter # |
Problems |

1 |
1.2.1, 1.2.2, 1.2.4, 1.2.6, 1.2.8, 1.3.1,
1.3.2, 1.4.1 (a-e), 1.4.5, 1.4.7 (a-c) |

2 |
2.2.4, 2.2.5, 2.3.1 (a, c, e), 2.3.2 (a, b,
d), 2.3.3 (a, c), 2.3.5, 2.3.7, 2.3.8, 2.4.1 (a, b), 2.4.3,
2.4.4, 2.5.1 (a, c, d), 2.5.28 |

3 |
3.2.1 (a, c, e), 3.2.2 (a, c, f), 3.2.3,
3.3.1 (a, c), 3.3.2 (a, c) |

4 |
4.2.1, 4.2.5, 4.4.1 |

10 |
10.3.1, 10.3.2, 10.3.3, 10.3.5, 10.3.6,
10.3.7, 10.3.11, 10.4.3, 10.4.4, 10.4.6, 10.4.7 (a, b, c) |