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This course covers different methods to solve ordinary differential equations of the first and second order with physical and geometrical applications. Other methods include differential operators; Laplace Transform; matrices; solutions in series; eigenvalues and eigenvectors, and numerical approximation. This course requires a solid foundation in algebra and trigonometry and strong background in Calculus (I, II, III)- differentiation and implicit differentiation; methods of integration include integration by parts and partial fractions; series; differentiation and integration of functions of two variables; operations on matrices; and determinants. The prerequisite for the live Differential Equations course is a minimum grade of C in Calculus II.
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