Lecture notes for a first course in differential equations, MAT-22B at UC Davis.

Lecture 1 - Terminology and the Integrating Factor

Lecture 2 - Eulerâ€™s Method and the Characteristic Equation

Lecture 3 - Homogeneous Linear Equations

Lecture 4 - Repeated Roots and Reduction of Order

Lecture 5 - The Method of Undetermined Coefficients

Lecture 6 - Variation of Parameters

Lecture 7 - The Laplace Transform

Lecture 8 - Initial Value Problems with the Laplace Transform