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Apr 15, 2026
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MA 612 - Engineering Mathematics II3 lecture hours 0 lab hours 3 credits
Course Description
This course discusses the solution of first-order differential equations, the solution of higher-order differential equations with constant coefficients, applications of differential equations, solution of systems of differential equations, and Laplace transforms and their application to solving differential equations. (prereq: Graduate standing and undergraduate calculus through differential equations)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• be able to solve a first-order differential equations by method of separation of variables
• be able to solve exact first-order differential equations
• be able to solve first-order linear differential equations using integrating factors
• be able to solve higher-order linear with constant coefficients
• be able to solve certain nonlinear second-order homogeneous differential equations with constant coefficients using the methods of undetermined coefficients and variation of parameters
• be able to apply second-order differential equations to certain physical applications
• be able to solve systems of linear differential equations using eigenvalues and eigenvectors
• be able to determine the Laplace and inverse Laplace transforms of some elementary functions
• be able to solve linear differential equations of various orders using the method of Laplace transforms |
Prerequisites by Topic
• None appended
Course Topics
• Solution of first-order differential equations and their applications (5 classes)
• Solution of higher-order homogeneous differential equations with constant coefficients (2 classes)
• Solution of higher-order non-homogeneous differential equations using method of undetermined coefficients (2 classes)
• Solution of higher-order non-homogeneous differential equations using method of variation of parameters (2 classes)
• Applications of second-order differential equations (2 class)
• Laplace transform of elementary functions (2 classes)
• Inverse Laplace transform (2 classes)
• Solution of differential equations using Laplace transforms (3 courses)
• Applications of Laplace transforms (2 classes)
• Solution of systems of differential equations using eigenvalues and eigenvectors (4 classes)
• Reviews and exams (4 classes)
Laboratory Topics
• None appended
Coordinator
Yvonne Yaz
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