I will be communicating with the class, recording term marks and posting course information in Carleton's Brightspace.
Carleton students: You all have access to Brightspace.
University of Ottawa students: Process for accessing Carleton's Brightspace.
Instructor: Dr. Lucy Campbell
Contact: campbell(at)math(dot)carleton(dot)ca
Lectures: Tuesdays and Thursdays, 2:30-4:00 PM, starting September 8.
See the Class Schedule for the classroom location.
Office hours: Time to be announced. My office is 4269 in the Herzberg Building.
Course description:
This course covers asymptotic and perturbation methods for obtaining approximate analytical solutions to problems involving linear and nonlinear differential equations. These methods allow one to analyze and obtain insight into complex problems, for example, in physics and engineering, for which closed form solutions often cannot be obtained. Asymptotic solutions can be used to validate the results of numerical simulations.
The course is aimed at graduate students and senior undergraduates in applied math, as well as in engineering and the physical sciences. The prerequisites are undergraduate complex analysis (e.g. MATH 3057) and differential equations, including Fourier and Laplace transform methods (e.g. MATH 3008, MATH 3705).
Topics:
References (will be on 2-hour reserve in the library):
Grading scheme:
The final grade will be based on term assignments, a midterm written exam and an end-of-term scheduled final exam.
Prerequisites: MATH 3057 (complex analysis) and at least one of MATH 3008 and MATH 3705 (differential equations), or permission of the School.
More information:
If you plan to take the course and want more information, you can send me e-mail at campbell(at)math(dot)carleton(dot)ca.
Academic Accommodation:
You may need special arrangements to meet your academic obligations during the term.
Pregnancy or Religious obligation: Write to me with any requests for academic accommodation during the first two weeks of class, or as soon as possible after the need for accommodation is known to exist.
Academic accommodations for students with disabilities: The Paul Menton Centre for Students with Disabilities (PMC) provides services to students with Learning Disabilities (LD), psychiatric/mental health disabilities, Attention Deficit Hyperactivity Disorder (ADHD), Autism Spectrum Disorders (ASD), chronic medical conditions, and impairments in mobility, hearing, and vision. If you have a disability requiring academic accommodations in this course, please contact PMC at 613-520-6608 or pmc@carleton.ca for a formal evaluation. If you are already registered with the PMC, contact your PMC coordinator to send me your Letter of Accommodation at the beginning of the term, and no later than two weeks before the first in-class scheduled test or exam requiring accommodation (if applicable). After requesting accommodation from PMC, meet with me to ensure accommodation arrangements are made. Please consult the PMC website for the deadline to request accommodations for the formally-scheduled exam (if applicable).