MA 3502 - Engineering Mathematics II

4 lecture hours 0 lab hours 4 credits

Course Description

Be able to determine the solution of first order differential equations by the method of separation of variables
Be able to solve exact equations
Be able to determine appropriate integrating factors for first order linear differential equations
Be able to determine the general and particular solutions of higher order linear homogeneous differential equations with constant coefficients
Be able to determine the general and particular solutions of certain linear nonhomogeneous differential equations with constant coefficients using the methods of undetermined coefficients and variation of parameters
Be able to determine the Laplace transform of selected elementary functions
Be able to determine inverse Laplace transforms of selected functions
Be able to solve linear differential equations of various orders using the method of Laplace transforms

(prereq: MA 225 or MA 137 or equivalent)

Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• Introduction to Differential Equations
• Solutions of Differential Equations
• Initial Value Problems
• Solution of First Order Equations by Separation of Variables
• Solution of first-order linear and non-homogeneous differential equations
• Solution of first-order linear and non-homogeneous differential equations and Initial value Problems
• The general theory of linear equations
• Reduction of order
• Applications of Reduction of Order
• Solution of second order linear homogeneous differential equations with constant coefficients: the Auxiliary Equation Method
• The Auxiliary Equation Method: multiple root case
• The Auxiliary Equation Method: complex root case
• Solution of higher order linear homogeneous differential equations with constant coefficients
• Solution of higher order linear homogeneous differential equations with constant coefficients using the method of undetermined coefficients
• Solution of higher order linear homogeneous differential equations with constant coefficients using the method of variation of parameters
• Introduction of Laplace Transforms
• Laplace Transforms of Elementary Functions
• Inverse Laplace Transforms
• Transforms and derivatives
• Exponential Shift (translation on the s-axis)
• Heaviside Function (translation on the t-axis)
• Derivatives of transforms
• Solution of linear differential equations with constant coefficients using Laplace transforms
• Periodic Functions

Prerequisites by Topic
• No prerequisites by topic appended

Course Topics
• MA-226 or MA-231 or equivalent

Coordinator
Bruce O’Neill

Announcement

The Raider Return

Milwaukee School of Engineering

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MA 3502 - Engineering Mathematics II