Mathematics 212
Differential Equations
Chapter 8: Numerical Methods
Class Notes
8.1 The Euler or Tangent Line Method (
nb
pdf
)
Biography and
portraits
of
Leonhard Euler
(1707-1783)
8.2 Improvements on the Euler Method (
nb
html
)
Mention of
Karl Heun
(1859-1929)
8.3 The Runge-Kutta Method (
nb
html
)
Biography and
photos
of
Carle David Tolmé Runge
(1856-1927)
Biography and
photo
of
Martin Wilhelm Kutta
(1867-1944)
8.4 Multistep Methods (
nb
pdf
)
Biography and
portraits
of
John Couch Adams
(1819-1892)
Biography and
portraits
of
Forest Ray Moulton
(1872-1952)
8.5 Systems of First Order Equations (
nb
pdf
)
8.6 More on Errors; Stability (
nb
pdf
)
Homework Exercises
Section 8.1, pp. 460--462: 3, 7
Section 8.2, pp. 466--468: 3, 7
Section 8.3, pp. 471--472: 3, 7
Section 8.4, p. 478: 3
Section 8.5, p. 481: 3, 8
Section 8.6, pp. 491--492: 1
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