Ordinary differential equations: First-order differential equations ; Linear differential equations of second and higher order ; Systems of differential equations, phase plane, qualitative methods ; Series solutions of differential equations, special functions ; Laplace transforms -- Linear algebra, vector calculus: Linear algebra: Matrices, Vectors, determinants. linear systems of equations ; Linear algebra: matrix eigenvalue problems ; Vector differential calculus. grad, div, curl ; vector integral calculus. integral theorems -- Fourier analysis and partial differential equations: Fourier series, integrals, and transforms ; Partial differential equations -- Complex analysis: Complex numbers and functions. conformal mapping ; Complex integration ; Power series, taylor series ; Laurent series, residue integration ; Complex analysis applied to potential theory -- Numerical methods: Numerical methods in general ; Numerical methods in linear algebra ; Numerical methods for differential equations -- Optimization, graphs: Unconstrained optimization, Linear programming ; Graphs and combinatorial optimization -- Probability and statistics: Data analysis. probability theory ; Mathematical statistics