Mathematics 212
Differential Equations
Chapter 6: The Laplace Transform
6.1 Definition of the Laplace Transform (
nb
pdf
)
Biography and
portraits
of
Pierre-Simon Laplace
(1749-1827)
Wikipedia entry for
Pierre-Simon Laplace
(1749-1827)
6.2 Solution of Initial Value Problems (
nb
pdf
)
6.3 Step Functions (
nb
html
)
Biography and
photos
of
Oliver Heaviside
(1850-1925)
Wikipedia entry for
Oliver Heaviside
(1850-1925)
6.4 Differential Equations with Discontinuous Forcing Functions (
nb
pdf
)
6.5 Impulse Functions (
nb
pdf
)
Biography and
photos
of
Paul Adrien Maurice Dirac
(1902-1984)
Wikipedia entry for
Paul Adrien Maurice Dirac
(1902-1984)
Paul Dirac's Nobel Prize lecture on the "
Theory of Electrons and Positrons
." Dirac shared the 1933 Nobel Prize in Physics with Erwin Schrödinger.
6.6 The Convolution Integral (
nb
pdf
)
Homework Exercises
Section 6.1, pp. 315--316: 3, 5, 9, 25
Section 6.2, pp. 324--327: 7, 15, 25, 30
Section 6.3, pp. 333--335: 5, 13, 21, 27
Section 6.4, pp. 340--343: 3, 9, 11, 16
Section 6.5, pp. 348--350: 3, 5, 9, 17
Section 6.6, pp. 354--357: 5, 9, 15, 19
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