September 2
section covered in text
1.3. Direction Fields
objective
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to be able to graph direction fields with graphing
calculator
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to be able to sketch solutions on the direction field
key ideas and/or vocabulary
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direction field
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logistic equation
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isoclines
solved problems-using key ideas
Examples on calculators with solutions, dy/dx = x2 - y and
dy/dx = -y/x
direction field of radioactive decay, dA/dt = -kA
more than one solution through a point, Example 9 in Section 1.2
behavior of a solution as x approaches infinity, #18
using the calculator to sketch direction field and solution curve given
initial conditions, #1
examining a logistic equation for population, #5,7
using isoclines to help sketch direction fields, #12,14
announcements
Homework: #4,8, worksheet
(due 9/16)
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QUESTION OF THE DAY
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| Use implicit differentiation to find dy/dx when
x/y + y/x + x2y3 = 1. |
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SOLUTION
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SOLUTION.
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