1.  (January 19)Linear and non-linear differential equations and
     direction fields.  Fixed points. The program dfield in matlab.

     Section 1.1 and 1.3 You should be able to do all problems on page  
     8-10s except 21-24 (we will talk about those after we learn to solve
     the equations).page 24-25 1-6, 15-18

2-3. (January 22-24) Linear equations with constant coefficients; separable
     equations.  The logistic population model.

     Section 1.2 Section 2.2 page 15-16 #1-6 page2.2 1-16, 22,25, 28

4.  (January 26) First order linear equations using integrating factors.
     Section 2.1, A bit of theory, Section 2.4 Modeling section 2.3
     page 39 1-8,13-14,17,33,  page 59-60 1,2,8,9,10 page75 1-6,25,26
     page 96 1-6,16,17,18.

5.   (January 29)More on modeling 2.3, classification of equilibria for
     autonomous equations 2.5 page 96 1-6,16,17,18,22,23,24 etc.

6.   (January 31) Modeling using separable equations 2.5 page 90 19-23
      (see problems 25-27 on page 93 for examples of bifurcation diagrams)
      Linearization(page 21, 506)

7.   (February 2)First Order Difference Equations 2.9. Guest lecture by
      Professor Williams.  Section 2.9. page 129, #1-16. See also the
      optional computer programing exercises listed under problem set 3.

8.   (February 5)  Linearization, more on difference equations.


9.   (February 7)  More on difference equations. The approximation
     of an ardinary differential equation by a difference equation
     Stability and linearization for difference equations, page129, 1-16

10.  February 9 The logistics difference equation page 129-130
     problems 14,17,18.

11.  February 12  3.1, 4.2 Linear equations with constant coefficents (again)
     page142, 1-17

12.  February 14  3.3 linear independence, repeat the theory of linear
     equations.page 158 1-9,page 222 7-10.

13 February 16  First midterm exam