Methods in Applied Math 3: Partial Differential Equations Fall 2006 Lecture Time Room Class 1:00pm-1:50pm ECCR 131 Instructor Keith Julien julien@colorado.edu ECOT 321 Office Hours: M 2:00pm-4:00pm (and other times by arrangement) Note: Some of the material covered in this course will also be covered (at a lower level and a slower pace) in APPM 4350. Students with weaker mathematical backgrounds might want to consider switching to 4350. In addition, this course overlaps strongly with MATH 5470. Students in either MATH or APPM may register for either course Text: Required Text: Partial Differential Equations of Mathematical Physics and Integral Equations, R. Guenther and J. Lee (Dover Publications, 1988). Rough Schedule Chapter 1: Elementary Modeling, 2 weeks Chapter 2: First Order PDE's, 2 weeks Chapter 3: Fourier Series, 3 weeks Chapter 5: Parabolic PDE's, 3 weeks Chapter 4: Wave Propagation, 2 weeks Chapter 8, Potential Theory, 2 weeks Updates and News... No class on Monday September 11th. Assignment I Assignment I solutions Assignment II Assignment II solutions Assignment III Assignment III solutions Assignment IV Assignment IV solutions Assignment V Assignment V solutions Assignment VI Midterm Midterm solutions Exams & Homework Grades in the course will be based on homework sets (assigned roughly bi-weekly during the semester). a mid-term exam (to be scheduled sometime in mid-late October); a final (possibly take home?). Official time is: Dec. 18, 10:30 AM-1:00 PM. Ground rules for the homework sets are as follows. You may use any reference book from the library. You are encouraged to discuss the homework problems with other students in the class, and even to work on the problems together, until you get to the point that you understand how to solve the problem. Each student is required to write up and to submit his/her own homework set. You are not permitted to copy another student's homework, even if you worked on the problems together. Policies. Official CU policy information: Honor Code Disability services Accommodations for religious observances Expectations of classroom behavior Sexual discrimination and harassment Resources Differential Equations Resources Using Maple to solve ODEs Using Mathematica to solve ODEs Numerical ODE solver (Matlab code) For a review of Ordinary Differential Equations see the postscript file LinearODEs.pdf. It is assumed that you have a good working knowledge of the material discussed in this file. Preliminary Information can be found at Syllabi Prelims Here are some old midterm exams ( postscript files) Note that there is no guarantee that the midterm this year will be similar 1991 Midterm 1992 Midterm 1995 Midterm 1996 Midterm 1997 Midterm 2000 Midterm Here are some old final exams ( postscript files) Note that there is no guarantee that the final this year will be similar 1991 Final 1992 Final 1995 Final 1996 Final 1997 Final 2000 Final Useful Formulae, often given with the exams. A Survey (by Professor Segur) of the Phenomena covered in this course.