DEPARTMENT OF MATHEMATICS  AND STATISTICS Faculty of Arts Faculty of Pure and Applied Science

# Differential Equations

Introduction to differential equations, including a discussion of the formation of mathematical models for real phenomena; solution by special techniques; applications; linear equations; solutions in series; other topics if time permits.
Differential equations have played a central role in mathematics and its applications for the past three hundred years. Their importance in applications stems from the interpretation of the derivative as a rate of change, a familiar example being velocity. Many of the fundamental laws of physical science are best formulated as differential equations. In other areas, too, such as biology and economics, which involve the study of growth and change, such equations are of fundamental importance.
In this course we will study some important types of linear differential equations and their solutions. Topics will include first-order (differential) equations; homogeneous second and higher order equations with constant coefficients; the particular solution of inhomogeneous second-order equations; series-form solutions of equations with variable coefficients; solutions by use of Laplace transforms.
NOTE: Mathematics (APMA, MATH, STAT, etc.) students should register in section M.

Prerequisite:One of AS/SC/MATH 2010 3.0, AS/SC/MATH 2015 3.0, or AS/SC/AK/MATH 2310 3.0; one of AS/SC/MATH 1025 3.0, AS/SC/MATH 2021 3.0, or AS/SC/AK/MATH 2221 3.0.

 Section: M M.E. Muldoon* N Al Stauffer *Coordinator

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