Math 220: Introduction to Differential Equations
Office hours: 12pm on Tuesdays and 2pm on Thursdays in 403 SEO
Announcements
- Special exam week office hours in the Mathematical Sciences Learning Center (room 430, SEO):
Tuesday 9-12 (CC), Wednesday 10-12 (CA), Thursday 11-2 (CA), and Thursday 2-5 (CC). (CC)=Chris Cashen, (CA)=Chris Atkinson
- Nine hours of review session will be hosted by Ahuva Shkop in room 636, SEO:
Monday 11-2, Tuesday 12-3, Wednesday 12-3.
- Here is a sample exam which I created. Work out the problems before your discussion class where we will go over the solutions. The answers .
- Go to this webpage and read the whole thing. If you do not know any of the listed topics, be sure to learn them before December 14 at 6pm.
- How is your section doing on quizzes versus other sections? Find out here.
Worksheets, solutions and other assorted miscellany
- The course
webpage.
- Calculus warmup worksheet and solutions
- Here is an example of using the method of undetermined coefficients, problem 4.4.20, and
problem 4.3.19. Some of you seem to have problems with mathematical organization, so I scanned exactly what I wrote
in solving
the problem instead of typing it. If you feel that the problems are getting too complicated, you should try to emulate my style.
Use plenty of paper and simplify before moving on to the next step.
- The figure to the right is the graph of the particular solution found
to 4.4.20. The
vertical axis represents displacement from equilibrium and the
horizontal axis represents time. The
diffential equation in question can be interpreted as modeling the motion of a weight at the end
of a spring, fixed at the other end to a "shaker" which shakes the fixed end according to the
expression on the right hand side of the equation. The coefficient of y'' is the mass of the
weight and the coefficient of y is the stiffness constant associated to the
spring.
- This is a perfect quiz 6 done by an actual student.
Note that each step is on a new line and all the work is very organized.
Permission to post this was obtained from the student.
- Have you fallen out of any windows lately? Here is an article about how you reaching your terminal velocity probably won't help you. It only uses the theory of separable ordinary differential equations. The article is from the American Mathematical Monthly, volume 113, number 8 from 2006.
- Look here for an animation demonstrating the idea of convolution.
- This webpage gives a simple overview of the qualitative nature of the solutions to various heat equations.
