Section outline

  • The linear partial differential equation of order two

    Introduction:

    In this class, the Linear partial differential equation of order two will be discussed. A second-order linear partial differential equation with two independent variables has the form

    Au_{xx}+2Bu_{xy}+Cu_{yy}+\cdots {\mbox{(lower order terms)}}=0,

    Objectives:

    •  solve a different kind of problem
    • second-order partial differential equations can be classified as parabolic, hyperbolic, and elliptic. 

    Lesson Plan:

    • Discussion from a lecture slide
    • Problem-solving
    • Group Work
    • Question and Answering
    • Home Work