Description
A partial differential equation (PDE) is an equation which requires relations between the various partial derivatives of a multivariable function. The first part of the course introduces the linearity, homogeneity, classification, and a method to solve the partial differential equation, which is the method of separation of variables. The second part of the course involves solving the partial differential equation applied in an engineering problem, namely heat and wave problems. Students will learn to solve the problems analytically, using the method of separation of variables, and numerically, using finite difference method. Students learn the topics through a series of recorded videos and interactive quizzes.
Prerequisite
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Micro Learning Outcomes
Upon completing this course, students should be able to:
1. determine the order, linearity, homogeneity and classification of a partial differential equation
2. solve heat and wave equations using method of separation of variables.
3. solve heat and wave equations using finite difference method.
4. apply method of separation of variables and finite difference method to solve any partial differential equations problems.
Recognition
Partial Differential Equations