Methods and Applications of Partial Differential Equations
Instructor: Prof.
Jean-Luc Guermond, 507C Blocker
Office
Hours: F 08:30-09:30
Class Times: TR
08:00-09:15
Location: BLOC
163
Classification of linear partial differential equations of the second order. Method of characteristics and first-order equations. Fourier series, orthogonal functions, applications to partial differential equations; special functions, Sturm-Liouville theory, application to boundary value problems' introduction to Green's functions, finite Fourier transforms. Prerequisites: MATH 601 or MATH 308 and 407.
Introduction: The heat equation and the Laplace equation.
Separation of variables
Fourier Series
Wave equation
Method of characteristics and first-order equations
Eignevalue problems
Higher dimensional PDEs
Basic partial differential equations
Two midterm exams and one final exam:
Midterm: Feb,12th
Tuesday 08:00-09:15
Midterm: March,25th Tuesday
08:00-09:15
Final:
May 5th, Monday, 31:00-15:00
30% will be determined by the homework assignments (assignments turned in late not accepted).
20% will be determined by the midterms and 30% by the final exam.
Your MINIMUM grade will be A, B, C, or D, for averages of 90%, 75%, 60%, or 45%, respectively.
Students must make arrangements in advance if they expect to miss
an exam.
Exam absences due to recognized University-related
activities, religious holidays,
verifiable illness, and
family/medical emergencies will be dealt with on an individual basis.
In all cases of absence from exams a written excuse is required.
Ignorance of the time and place of an exam will not be accepted
as an excuse for absence.
Students with disabilities and special needs are referred to the
office of support services.
The office will then notify me about
the details and special arrangements that should be made.