Week 11 =  7.1 (Modeling with differential equations), 7.2 (Direction
fields and Euler's methods), 7.3 (Separable equations)

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M - 7.1

explain what a diffeq is

examples in book are: population growth, motion of a spring

talk about difference and relationship between general solution and
solution of inital value problem 

example of checking a solution 

Activity (20-25 min):
Solutions to Differential Equations: A Qualitative Look (Stewart)


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T - 7.2 

go over activity

define direction fields & show how this helps approximate a solution
for a diffeq

do some examples of drawing these and picking out an inital value
problem solution (use overheads?--Leah has a set from previous year)


explain Euler's method & do an example (25 min)


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W - 7.2/7.3

Activity: Euler with Care (Stewart)

do examples of separable equations and how to solve them (20-25 min)
(activity "Are they separable" in manual has lots of examples, also
Coffee Window is cute, though we probably don't have enought time to
do it as an activity) 
don't forget to mention how you miss the trivial solution!


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R/F - 7.3

example of orthogonal trajectories (25 min)

example of mixing problems (25 min)



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