Table of Contents

ORDINARY DIFFERENTIAL EQUATIONS; First-Order Differential Equations; Second-Order Linear Differential Equations; Higher Order Linear Differential Equations; Systems of Differential Equations: Phase Plane, Stability; Series Solutions of Differential Equations: Special Functions; Laplace Transforms; LINEAR ALGEBRA, VECTOR CALCULUS; Linear Algebra: Matrices, Vectors, Determinants; 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, Complex Analytic Functions; Complex Integration; Power Series, Taylor Series, Laurent Series; Residue Integration Method; Conformal Mapping; 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; Probability Theory; Mathematical Statistics; Appendices; Index.