Introduction to Differential Equations

The Hong Kong University of Science &Technology, 2010. - 126 pages. Preface What follows are my lecture notes for Math 150/151: Introduction to ordinary differential equations/Differential equations and applications, taught at the Hong Kong University of Science and Technology. Math 150, with two lecture hours per week, is primarily for non-mathematics majors and is required by several engineering and science departments; Math 151, with three lecture hours per week, is primarily for mathematics majors and is required for applied mathematics students. Contents: A short mathematical review; Introduction to ODEs; First-order ODEs; Second-order ODEs constant coefficients; The Laplace transform; Series solutions; Systems of equations; Bifurcation theory; Partial differential equations.