An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Determinants owe their birth to the technique of solving simultaneous linear equations. A large number of physical phenomena are governed by linear differential equations which are solved by reducing ...

Complex numbers. First-order differential equations. Matrices and systems of linear equations. Vector spaces and linear transformations. 2nd-order linear differential equations and the Laplace ...