*Ma 2b prac.* - Differential equations; Winter 2004

### Instructor: Danny Calegari

### MWF 10-11, 22 Gates

### Grading policy:

Weekly homework assignments: 40%
Midterm: 30%
Final: 30%.

Homework will be posted online on Friday of each week, and will be
due by 5pm on the following Friday.
The Midterm and Final exams will be take-home exams given out in class.

### Collaboration:

Collaboration on homework is allowed and encouraged. Collaboration
on exams is not allowed.

### Late policy:

Late homework is accepted

**at most**
twice during the term, at the discretion
of the TA. Note that fatigue, forgetfulness, etc. are not generally grounds for
accepting late homework. Late exams will not be accepted except under
exceptional circumstances.

### Description of course:

First order differential equations; Linear equations; Systems of differential equations.

### Topics to be covered (if time allows):

- Separable equations
- Techniques of integration
- Difference equations
- Homogeneous equations
- Oscillations
- Laplace transform
- Power series
- Special functions
- Phase spaces
- Linearization
- Conservative systems
- Stability
- Limit cycles

### References:

- Elementary differential equations and Boundary value problems,
W. Boyce and R. DiPrima,
*7th edition* John Wiley and Sons (2001)
- Ordinary differential equations, V. Arnol'd, Springer-Verlag (1992)