An analysis of the existence and uniqueness of solutions of ordinary differential equations with initial conditions. Examines linear systems of ordinary differential equations, and the geometry of solutions of homogeneous linear ordinary differential equations. Graphing calculator is required. An examination systems of linear equations and matrices, elementary vector-space concepts, and geometric interpretations. Discusses finite dimensional vector spaces, linear functions and their matrix representations, determinants, similarity of matrices, inner product, rant, eigenvalues and eigenvectors, canonical form, and Gram-Schmidt.
Computer software demonstrates computational techniques with larger matrices.
Graphing calculator or appropriate software may be required. A capstone course for BS in Mathematics, this course culminates the mathematics major studies and should be taken at or near the end of the program. Addresses important problem areas such as political science, ecology, psychology, sociology, economics, anthropology, business and institutional planning using mathematical techniques from areas such as calculus, geometry, probability and statistics, linear and matrix algebra, and linear programming. Discusses principles and methods of constructing, analyzing, interpreting, evaluating, and refining models. Compares mathematical models, including analytic and simulation, discrete and continuous, deterministic and stochastic.