UNIVERSITY OF NOTRE DAME

Department of Aerospace and Mechanical Engineering

AME 321

Differential Equations and Applied Mathematics

Prof. Patrick F. Dunn

University of Notre Dame London Centre

patrick.f.dunn.1@nd.edu, http://www.nd.edu/~pdunn/

Course web site via: http://www.nd.edu/~pdunn/

Required Text: Elementary Differential Equations and Boundary Value Problems, 7th Edition, William E. Boyce and Richard C. DiPrima, John Wiley & Sons, Inc., New York, 1997. ISBN 0-471-08955-9.

Course Content: This course is the 5th mathematics course in your engineering program. We will review the material covered in Chpts. 1-3 in the text and then proceed to cover most of the material in Chpts. 4, 7, 8, 9, and 10 (all sections except 9.3 through 9.8). Topics will include first order differential equations, second order linear equations, higher order linear equations, systems of first order linear equations, numerical methods, phase planes and stability, and partial differential equations and Fourier series.

Course Grade: Your final course grade will be based upon your performance in all aspects of the course. These include:

Exams (3 @ 15% each): 45%

Quizzes (10 @ 2% each): 20%

Homework and Class Participation: 10%

Final Exam: 25%

Homework: There will be 10 homework sets, each due at the beginning of class on most Wednesdays (see schedule). Solutions to the problems must be stapled together and turned in to me at the beginning of class. Problems turned in after class are considered late and will not be graded. I will randomly select and grade each student's homework 3 times during the semester. I also will record the number of problems that each of you has completed during the entire semester. All this will factor into your homework grade.

Quizzes: There will be 10 quizzes given during the semester (on Mondays). These will be "cooperative" in that you will work in a team with (usually) two other classmates. Each teammate will receive the same grade. Teammates will be selected randomly (see assignment sheet). On quiz days, quizzes will be given at the beginning of class. So, sit with your quiz partners on quiz days.

Take-Home Problems: Take-home problems will be assigned during the semester on the class day before a homework assignment is due. Then, on the day a homework assignment is due, one student will be selected at random from the "volunteers" to work the problem at the board in front of class. If the problem is worked reasonably well, that student will receive an extra 2 bonus points to be applied toward his or her quiz scores.

Exams: There will be three exams given during the semester and a final exam at the end of the semester. The exams will be closed book and notes. No calculators will be allowed; only one crib sheet. The first three exams will cover material presented up to the lecture just before the exam. The final exam will cover all course material but will be weighted toward that material presented following the third exam. The final exam will be divided into two parts. The first part will be closed "everything" and will cover all the material presented in the course. It will be true/false and multiple choice questions. The second part will be like the other exams and only cover the material since the third exam.

Class Structure: Except on exam days, each class will follow approximately the same format. For the first 15 minutes, either the cooperative quiz will be given or a take-home problem presentation will be made. Discussion of the solution(s) will follow for about 10 minutes. Then, new material will be covered for approximately 50 minutes, during which you are strongly encouraged to participate.

Grader: Mr. Jordan Ryan will be the course grader and will be available for homework assistance. He is in flat #30, 8th floor, phone extension 4051. He will be available on Monday evenings from 8-9:30PM in the flats and on Tuesday afternoons from 3:30-5PM in the Junior Commons Room at the Centre. You can also arrange another time with him, if he is available. I will be in my office on most Monday afternoons and Tuesdays for assistance, but check with me first.

Course Policies: Attendance: You are expected to attend and participate every class. The lectures will supplement what is in the text, often through examples and discussion. To be prepared, you should read the assigned material before class. In situations in which you cannot make lecture, it is your responsibility to get the class notes from a classmate (not me!). However, you must be present for all scheduled exams or you will receive a score of 0 on that exam.

Honesty: You are all expected to follow the Academic Honor Code of the University. Honesty in class is a moral issue that is impossible to strictly enforce. I, however, will enforce this in class to the best of my ability. I will also try to be explicit as possible in describing what I consider to be dishonest. Copying (in part or whole) another's problem solution, computer program or written work (plagiarism), and cheating on exams is considered dishonest and absolutely will not be tolerated. This implies that there should not be the exchange of solutions, etc., on homework and exams. Discussions of approaches to homework solutions can be held, but with the intent of teaching one another as opposed to allowing your friend to copy a solution because he did not have the chance do their work. It is dishonest to use the work of another student even with his consent if you are being graded on an individual basis. When you write only your name on an assignment, this means only YOU did the work. This includes the work of those students currently taking this class as well as those who took it previously and gave you their files. If you have any questions about my policies on this matter, it is your responsibility to ask me. Do not hesitate to do so!