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Class overview
This is an introductory course on differential equations. Topics include first order ordinary differential equations (ODEs), linear second order ODEs with constant coefficients up to fourth order, the Laplace transform and its inverse, Fourier series, and partial differential equations (PDEs). Students will learn how to classify and solve first order ODEs, use the techniques of undetermined coefficients, variation of parameters and the Laplace transform to solve ODEs with specified initial and boundary conditions, and use the technique of separation of variables to solve linear second order PDEs and the method of d’Alembert to solve wave equation.
Course Learning Outcome
Able to define both ordinary and partial differential equations concepts, formulate method of solutions and select appropriate procedures & techniques in solving differential problems
Able to apply mathematical methods and concepts to evaluate and solve engineering problems.
Able to show the ability to perform and cooperate in group work.
Able to show the ability to acquire information on selected topics of engineering mathematics.
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