Lycoming College Catalog 1985-86

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Prereauisile: a grade ofC or better in Mathematics IS or consent of instructor.
20 MULTIVARIATE CALCULUS WITH MATRIX ALGEBRA Vectors, linear transformations and their mat- rix representations, determinants, matrix inversion, solutions to systems of linear equa- tions, differentiation and integration of multi- variate functions, vector field theory and applications. Prerequisite: a grade of C or belter in Mathematics J 9 or consent of instructor.
21 DIFFERENTIAL EQUATIONS A study of ordinary dif
...ferential equations and their applications: first-order linear differen- tial equations, the Picard Existence Theorem, solution by separation of variables, solution by numerical methods; second-order linear differential equations, solution by variation of parameters, solution by power series, solution by Laplace transforms; systems of first-order equation, solutions by eigenvalues; qualita- tive theory, stability theory asymptotic beha- vior, and the Poincare-Bendixon theorem.
Besides the usual applications in physics and engineering, considerable attention will be given to modem applications in the social and life sciences.


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