
MA 3502  Engineering Mathematics II4 lecture hours 0 lab hours 4 credits Course Description Solution of first order equations, higher order linear equations and initial value problems, the methods of undetermined coefficients, variation of parameters, and Laplace transforms. (prereq: MA 225, MA 231 /MA 2314 or equivalent) Course Learning Outcomes Upon successful completion of this course, the student will be able to:
 Determine the solution of a first order differential equations by the method of separation of variables
 Solve exact equations
 Determine appropriate integrating factors for first order linear equations
 Determine the general solution of higher order linear homogeneous equations with constant coefficients
 Determine the general and particular solutions of certain linear nonhomogenous equations using the methods of undetermined coefficients and variation of parameters
 Determine the Laplace transform and inverse Laplace transform of certain elementary functions
 Solve certain linear differential equations using Laplace transforms
Prerequisites by Topic
 Differentiation of elementary functions for all topics
 Integration techniques for solving differential separable and exact equations and for variation of parameters
 Improper integrals for Laplace transforms
Course Topics
 Basic concepts of differential equations
 Solution of first order equations by separation of variables
 Solution of exact equations
 Solution of first order linear nonhomogeneous equations
 Solution of higher order linear homogeneous differential equations with constant coefficients
 Solution of higher order linear nonhomogeneous differential equations using the method of undetermined coefficients
 Solution of higher order linear nonhomogeneous differential equations using the method of variation of parameters
 Introduction to Laplace transforms
 Laplace transforms of elementary functions
 Inverse Laplace transforms
 Operational properties: Laplace transforms and inverse Laplace transforms involving transforms of derivatives, derivatives of transforms, exponential shift (translation on the saxis) and Heaviside function (translation on the taxis), Dirac delta function and periodic functions
 Solution of linear differential equations using Laplace transforms
Coordinator Dr. Bruce O’Neill
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