Mathematics 212
Differential Equations
Chapter 1: Introduction
Class Notes
1.1 Some Basic Mathematical Models; Direction Fields (
pdf
) (
nb
pdf
)
1.2 Solutions of Some Differential equations (
pdf1
pdf2
) (
nb
pdf
)
1.3 Classification of Differential Equations (
pdf
) (
nb
pdf
)
1.4 Historical Remarks (
pdf
)
Biography and
portraits
of
Sir Isaac Newton
(1643-1727)
Wikipedia biography and
portrait
of
Sir Isaac Newton
(1643-1727)
Biography and
portraits
of
Gottfried Wilhelm von Leibniz
(1646-1716)
Wikipedia biography and
portrait
of
Gottfried Wilhelm von Leibniz
(1646-1716)
Biography and
portraits
of
Jacob (Jacques) Bernoulli
(1654-1705)
Biography and
portraits
of
Johann Bernoulli
(1667-1748)
Biography and
portraits
of
Leonhard Euler
(1707-1783)
Mathematica Examples
Exploring DEs with Mathematica (
pdf
nb
)
Homework Exercises
Section 1.1, pp. 7-10:
1, 7, 11, 23 (Newton's Law of Cooling), 24 (concentration of a drug in the bloodstream)
Section 1.2, pp. 15-19:
1, 4, 7 (time to extinction), 8 (doubling time), 9 (limiting velocity of a falling object), 14 (radium-226)
Section 1.3, pp. 24-26:
1, 7, 13, 17, 19, 21, 24
Section 1.1, pp. 7-10:
21 (chemical flowing into a pond)
Section 1.2, pp. 15-19:
18 (contaminant in a pond), 19 (dye in a swimming pool)
Section 1.4
--
cparrish@sewanee.edu
