Office hours this week: By appointment or drop-in.
Some past exams and solutions have been posted here:
Exam 2003
Exam 2003 solutions
Exam 2004
Exam 2004 solutions
Each of the exams above includes the 3 tables that will be included in your exam (Laplace transforms, Fourier series and Fourier transforms).
The solutions of the tests are posted here.
Instructor: Dr. Lucy Campbell
Lectures:
10:00-11:30, on Wednesdays and Fridays, starting January 5, in 301 Azrieli Theatre.
Office hours:
My office is 4269 in the Herzberg Building.
Email: campbell(at)math(dot)carleton(dot)ca
Tutorials:
11:30-12:30, on Fridays, starting January 14.
See Carleton Central for the room locations.
During the tutorial sessions, a TA will be present
to work out selected problems, to answer questions and to administer the
tests.
Textbook (available at the bookstore):
Mathematical Methods and Boundary Value Problems,
Third Edition, by S. Melkonian.
(Corrections)
Topics and Timetable:
Chapter II: Series Solutions of Ordinary Differential Equations, Lectures 6 – 10
Omit nonhomogeneous equations and complex roots (pages 96 – 98).
Do problems 1 – 19.
Chapter III: Fourier Series, Lectures 11 – 12
Omit differentiation and integration of Fourier series, nonhomogeneous equations with periodic forcing terms, and nonhomogeneous boundary-value problems (pages 156 – 164).
Do problems 1 – 20.
Chapter IV: Partial Differential Equations, Lectures 13 – 17
Omit the bar with one end insulated (pages 211 – 217) , differentiation and continuity of solutions, and uniqueness of solutions (pages 245 – 250).
Do problems 1 – 6, 11 – 14 and 16 – 25.
Chapter V: Sturm-Liouville Problems, Lectures 18 – 21
Omit Laplace's equation within an annular sector (pages 297 – 305), nonhomogeneous Sturm-Liouville problems, and orthonormal families (pages 318 – 321).
Do problems 1 – 13 and 15 – 24.
Chapter VI: The Fourier Transform, Lectures 22 – 24
Omit Laplace's equation in the upper half-plane, the wave equation on R, and band-limited signals (pages 372 – 379).
Do problems 1 – 17.
Tests:
There will be four tests, to be held during the tutorial sessions, on the following dates:
Marking Scheme:
The best three out of the four tests will count for 45% and the final examination for 55% of the final grade.
Notes:
There will be no make-up tests.
Approximately 40% of each test and the final examination will consist of multiple-choice questions.
Non-graphic, non-programmable calculators are permitted on the tests and the final examination.
Students who wish to review their final examination paper must do so within three weeks of the examination period.
Pregnancy 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. For more details see the Student Guide.
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. For more details see the Student Guide.
Students with disabilities requiring academic accommodations in this course must register with the Paul Menton Centre for Students with Disabilities (PMC) for a formal evaluation of disability-related needs. Documented disabilities include but are not limited to mobility/physical impairments, specific Learning Disabilities (LD), psychiatric/psychological disabilities, sensory disabilities, Attention Deficit Hyperactivity Disorder (ADHD), and chronic medical conditions. Registered PMC students are required to contact the PMC every term to have a Letter of Accommodation sent to the Instructor by their Coordinator. In addition, students are expected to confirm their need for accommodation with the Instructor no later than two weeks before the first assignment is due or the first in-class test/midterm. If you require accommodations only for formally scheduled exam(s) in this course, you must request accommodations by the official accommodation deadline published on the PMC website.
More information:
You can contact me at campbell(at)math(dot)carleton(dot)ca.