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.
Section  Time  Place  Instructor 

01  MW5  SEC206  Bumby 
02  MW8  ARC207  Kruskal 
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 
Topics 

1  Wed  Jan 17 

Laplace transforms; inverse transforms; linearity; shifting. 
2  Mon  Jan 22 

Transforms of derivatives and integrals. Differential equations. 
3  Wed  Jan 24 
Diagnostic Quiz 
Unit step function; second shifting theorem; Dirac delta function. 
4  Mon  Jan 29 

Differentiation and integrations of transforms. 
5  Wed  Jan 31 

Convolution; integral equations. 
6  Mon  Feb 5 

Partial fractions; differential equations. 
7  Wed  Feb 7 
Quiz #1 (5.15.6) Catchup; Review 
Systems of differential equations 
8  Mon  Feb 12 

Periodic series; trigonometric series. 
9  Wed  Feb 14 
 
10  Mon  Feb 19 
Discussion of exam 
Fourier series. 
11  Wed  Feb 21 

Functions of any period. 
12  Mon  Feb 26 

Even and odd functions; halfrange expansions. 
13  Wed  Feb 28 
11.2 Quiz #2 (10.110.4) 
Partial differential equations: basic concepts.
Modeling: vibrating strings and the wave equation. 
14  Mon  Mar 5 


15  Wed  Mar 7 

Separation of variables; use of Fourier series. 
Mon  Mar 12 


Wed  Mar 14 


16  Mon  Mar 19 

The heat equation; solution by Fourier series. 
17  Wed  Mar 21 
11.8 Quiz #3 (11.111.3) 
Membranes, Two dimensional wave equation;
Rectangular membrane, use of double Fourier series 
18  Mon  Mar 26 

Solution by Laplace transforms. 
19  Wed  Mar 28 
Quiz #4 (11.511.8) Catchup; Review 
D'Alembert's solution of the wave equation.

20  Mon  Apr 2 
3.1 
Introduction to systems of differential equations. 
21  Wed  Apr 4 


22  Mon  Apr 9 
Discussion of exam 
Basic concepts and theory. 
23  Wed  Apr 11 

Constant coefficient homogeneous equations; phase plane. 
24  Mon  Apr 16 

Criteria for critical points; stability. 
25  Wed  Apr 18 

Qualitative methods for nonlinear systems. 
26  Mon  Apr 23 

Nonhomogeneous linear systems. 
27  Wed  Apr 25 
Catchup 

28  Mon  Apr 30 

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