This page is devoted to special information for the Spring 2001 semester. For more information about the course, see the main course page.
There are two sections this semester.
Prof. Kruskal will not be available during the week of April 30 to May 4. However, Prof. Bumby will be holding office hours in Hill 438 from 1 to 7 PM on Tuesday, May 1, and for the same hours on Wednesday, May 2, and all aspects of this course may be discussed then.
In both sections, the grade basis will be
Grade distribution for midterm exams can be found near the end of the page.
Here is a schedule of lectures, quizzes and exams for the Spring 2001 semester, including revisions caused by weather problems. It is expected that both sections will follow this syllabus. Too avoid clutter, a separate page contains a list of homework problems with their due dates.
|Session||Day||Date||Section in Text
or other Activity
||Laplace transforms; inverse transforms; linearity; shifting.|
||Transforms of derivatives and integrals. Differential equations.|
|Unit step function; second shifting theorem; Dirac delta function.|
||Differentiation and integrations of transforms.|
||Convolution; integral equations.|
||Partial fractions; differential equations.|
Quiz #1 (5.1-5.6)
|Systems of differential equations|
||Periodic series; trigonometric series.|
Discussion of exam
||Functions of any period.|
||Even and odd functions; half-range expansions.|
Quiz #2 (10.1-10.4)
|Partial differential equations: basic concepts.
Modeling: vibrating strings and the wave equation.
||Separation of variables; use of Fourier series.|
||The heat equation; solution by Fourier series.|
Quiz #3 (11.1-11.3)
|Membranes, Two dimensional wave equation;
Rectangular membrane, use of double Fourier series
||Solution by Laplace transforms.|
Quiz #4 (11.5-11.8)
|D'Alembert's solution of the wave equation.
|Introduction to systems of differential equations.|
Discussion of exam
|Basic concepts and theory.|
||Constant coefficient homogeneous equations; phase plane.|
||Criteria for critical points; stability.|
||Qualitative methods for nonlinear systems.|
||Non-homogeneous linear systems.|
Letter grades have been assigned for the midterm exams to help estimate the course grade. For the second midterm, there seemed to be a slight difference in the way that partial credit was assigned, so grades in Section 2 were adjusted upward by 5 points before a common scale was determined. Students who took their exam in that section should adjust these ranges for exam 2 downward by 5 points to interpret their grades.
|Exam Grade Distribution||
The contribution to the grade from quizzes an homework is still incomplete and has not been tabulated. The course grade will be based a combined numerical score of all components, not on an average of letter grades. However, it is expected that final grades will have a similar distribution.
Comments on this page should be sent to: R. T. Bumby
Last updated: April 27, 2001