Section 1.5 The Approximation Method of Euler
objective
-
to be able to use Euler's method to make approximations
of solutions
-
to be able to employ Euler's method with calculator
or computer
key ideas and/or vocabulary
-
Euler's method
-
algorithms
-
step size
solved problems-using key ideas
using Euler's method to approximate solution to an intial value problem
at given points, #3
Euler vs. Runge-Kutta: compare with dy/dx = x2-y
with [0,2] x [0,3] window, tstep = .5, y(0) = 1
approximate e with dy/dx = y, y(0) = 1 and different step sizes
Newton's Law of Cooling, #15
|
QUESTION OF THE DAY
|
|
Find the partial derivative of z with respect
to x when xyz = cos(x + y + z).
|
|
SOLUTION
|
SOLUTION.
|