2006-2008 HBU Catalog - Houston Baptist University

MATH 3310 Discrete MathPrerequisites: MATH 2434 and 3301This course contains elements of combinatorics, number theory, and discrete structures,such as graphs, trees and Boolean algebras and elementary applications in modelingcomputation. It is intended to expose students to some areas of mathematics of currentpractical interest, as well as being a tool for concept development. This course involvesthe use of proof and algorithmic thinking. It is required for the mathematical studiesmajor and is an upper level elective for the mathematics major.MATH 3323 Linear AlgebraPrerequisites: MATH 2434 and 3301 or consent of the instructorThis course is designed for both mathematics and science majors. Topics include: fieldsand number systems, matrices, determinants, abstract vector spaces, linear dependence,bases, characteristic equations and characteristic values, linear transformations, andthe Gram-Schmidt Process.MATH 3333 Ordinary Differential EquationsPrerequisite: MATH 2444.A first course. Topics include: eexistence and uniqueness of solutions, initial andboundary value problems, solutions of first order equations, solutions of higher orderlinear equations with constant coefficients, infinite series solutions, numerical solutions,solutions of linear systems, solutions using Laplace transforms, and applications.MATH 3353 Modern Abstract AlgebraPrerequisite: MATH 3323An introduction to algebraic structures. Topics include sets, operations, relations,groups, subgroups, equivalence classes, Lagrange’s Theorem, homomorphisms, rings,and ideals.MATH 3383 Mathematical Methods for Science and EngineeringPrerequisites: Credit for or concurrent enrollment in MATH 3333 and 3414Advanced techniques in applied mathematics for students of science and engineering,with topics chosen from partial differential equations, Laplace transforms, Fourierseries, complex analysis, and vector analysis. (Offered also as PHYS 3383.)MATH 3404 Probability and Statistics with Computer ApplicationsPrerequisite: MATH 2434A mathematical development of the basic concepts of probability and statistics,emphasizing the theory of discrete and continuous random variables, with applications inscience and engineering. Topics include descriptive statistics, probability theory, randomvariables, expected value, probability density functions, probability distributions,correlation and regression, and an introduction to statistical inference. This courseincludes one semester hour credit for laboratory sessions.MATH 3414 Calculus IIIPrerequisite: MATH 2444A continuation of MATH 2444. Topics include: three-dimensional coordinatesystems, quadric surfaces, cylindrical and spherical coordinates, vector calculus inthree dimensions, partial derivatives, the total differential, multiple integrals, lineintegrals, surface integrals, vector fields, Green’s Theorem, Stokes’ Theorem, theDivergence Theorem, and applications. This course includes one semester hour creditfor laboratory sessions.Courses / 297