William E. Boyce, Edward P. Hamilton professor emeritus, Richard C. DiPrima, formerly Eliza Ricketts Foundatioin professor, Department of Mathematical Sciences, Rensselaer Polytechnic Institute
First order differential equations -- Second order linear equations -- Higher order linear equations -- Series solutions of second order linear equations -- The Laplace transform -- Systems of first order linear equations -- Numerical methods -- Nonlinear differential equations and stability -- Partial differential equations and Fourier series -- Boundary value problems and Sturm-Liouville theory