Mathematics 305-3 Engineering Statics A study of static equilibrium: forces, moments, couples, equilibrium of structures, and friction. Emphasis will be on developing skills in solving engineering problems. Prerequisite: Math 151 and Math 203. Offered as needed 306-3 Engineering Dynamics A study of dynamics of particles and of rigid bodies, work and energy, impulse and momentum, and conservation laws. Prerequisite: Math 151 and Math 203. Offered as needed 307-3 Real Analysis A study of continuity, differentiability, RiemannStieltjes integral, and uniform convergence. Prerequisites: Math 230 and Math 253. Offered as needed 315-3 Linear Algebra A study of systems of linear equations, matrices, vector spaces and linear transformations, determinants, eigenvalues, and eigenvectors. Prerequisite: Math 151. Offered as needed 352‑3 Ordinary Differential Equations A study of exact equations, integrating factors, undetermined coefficients, linear systems variations of parameters, and Laplace transformations. Prerequisite: Math 152. Offered as needed 353-3 Partial Differential Equations A study of Fourier Series, Fourier Transforms, boundary value problems for partial differential equations of mathematical physics, series solutions, and Strum-Liouville problems. Prerequisite: Math 253 or Math 352. Offered as needed 359-3 Topology A study of sets, relations, functions, countable and uncountable sets, real numbers, metric and general topological spaces, continuous functions, convergence, compactness, and connectedness. Prerequisites: Math 230 and Math 253. Offered as needed 151
401‑3 Mathematical Statistics I A study of probability density functions, distribution functions, moment generating functions, estimators, and statistical inference. Prerequisite: Math 152. Offered as needed 402-3 Mathematical Statistics II A continuation of Math 401. A study of inference, maximum-likelihood and least-squares estimation, goodness of fit, non-parametic methods, regression analysis, and unbiased estimators. Prerequisite: Math 401. Offered as needed 403-3 Discrete Mathematics A study of sets, bionomial coefficients, lattice paths, inclusion-exclusion, combinations and permutations, recursions, induction, and graph theory. Applications to computer science and operations research. Prerequisite: Math 152 or permission. Offered as needed 404‑3 Geometry Topics include differential geometry, nonEuclidean geometry, advanced Euclidean geometry, and fractals. Prerequisites: Math 152 and Math 230. Offered as needed 406-3 Complex Analysis A study of complex plane, functions of a complex variable, Cauchy’s theorem and integral formula, Taylor’s and Laurant’s theorems, residue calculus, and conformal mappings. Prerequisites: Math 230 and Math 253. Offered as needed 410-3 Secondary Mathematics Education An applied study of current strategies, materials, technologies, and content related to the learning and teaching of secondary school mathematics. Units and lessons in applied arithmetic, algebra, geometry, functions, probability and statistics, trigonometry, and discrete mathematics, with attention to the historical significance of ideas. Includes hands-on investigations with manipulatives, visuals, graphing calculators, and computers. Also included are graphing and drawing programs. A field experience component