Lecture 3
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LINEAR OPERATORS AND THEIR ADJOINTS: This gives an overview of linear operators and their adjoints. Special focus is given to the study of problems of the the form Lu=f.
Lecture 4
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EIGENFUNCTION EXPANSIONS: This lecture uses eigenfunctions of an operators L to construct solutions for the problem Lu=f.
Lecture 5
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STURM-LIOUVILLE THEORY: This lecture introduces the Sturm-Liouville operator for solving Lu=f problems where L is a second-order, self-adjoint differential operator. The special properties of this operator are highlighted.