MA 3502 - Engineering Mathematics II

• Upon successful completion of this course a 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 non-homogenous 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.

• 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

• Basic concepts of differential equations (2 classes)
• Solution of first order equations by separation  of variables ( 2 classes)
• Solution of exact equations (2 classes)
• Solution of first order linear non-homogeneous equations (2 classes)
• Solution of higher order linear homogeneous differential equations with constant coefficients (7 classes)
• Solution of higher order linear non-homogeneous differential equations using the method of undetermined coefficients (2 classes)
• Solution of higher order linear non-homogeneous differential equations using the method of variation of parameters (1 class)
• Introduction to Laplace transforms (1 class)
• Laplace transforms of elementary functions (1 class)
• Inverse Laplace transforms (2 classes)
• Operational properties: Laplace transforms and inverse Laplace transforms involving transforms of derivatives, derivatives of transforms, exponential shift (translation on the s-axis) and Heaviside function (translation on the t-axis), Dirac delta function and periodic functions (8 classes)
• Solution of linear differential equations using Laplace transforms (4 classes)
• Review (2 classes)
• Exmas (2 classes)