2010-2011 HBU Catalog - Houston Baptist University

MATH 3333 Ordinary Differential Equations
Prerequisite: MATH 1452 and MATH 2323. Math 2323 may be taken concurrently.
A first course. Topics include: existence and uniqueness of solutions, initial and boundary value problems, solutions of
first order equations, solutions of higher order linear equations with constant coefficients, infinite series solutions,
numerical solutions, solutions of linear systems, solutions using Laplace transforms, and applications.
MATH 3334 Partial Differential Equations
Prerequisites: MATH 3333
An introduction to the basic properties of partial differential equations, including ideas and techniques that have proven
useful in analyzing and solving them. Topics include vibrations of solids, fluid flow, molecular structure, photon and
electron interactions, and radiation of electromagnetic waves, with emphasis on the role of partial differential equations
in modern mathematics, especially in geometry and analysis.
MATH 3353 Introduction to Abstract Algebra
Prerequisite: MATH 1452, 3301, and 3323
An introduction to algebraic structures. Topics include sets, operations, relations, groups, subgroups, equivalence
classes, Lagrange‘s Theorem, homomorphisms, rings, and ideals.
MATH 3364 Mathematical Computing
Prerequisite: MATH 2444 or consent of the instructor
An introductory course in computer programming with applications to mathematics. The programming language used
will vary; possible choices include but are not restricted to Java, C++, C#, Maple, and Matlab. Topics include: design
of algorithms, structured programming, data types, control structures, functions and procedures, and mathematical
problem solving.
MATH 3371 Introduction to Complex Variables (Previously offered as MATH 4333)
Prerequisites: (MATH 2451 or MATH 3414) and (MATH 2323 or MATH 3323)
An introduction to complex analysis and the study of complex-valued functions of a single complex variable. Topics
include the complex number system, the Cauchy-Riemann conditions, analytic functions including linear, exponential,
logarithmic, and trigonometric transformations, differentiation and integration of complex-valued functions, line
integrals, and Taylor and Laurent Series expansions.
MATH 3383 Mathematical Methods for Science and Engineering
Prerequisites: MATH 2451 and 3333
Advanced techniques in applied mathematics for students of science and engineering, with topics chosen from partial
differential equations, Laplace transforms, Fourier series, complex analysis, and vector analysis. (Offered also as PHYS
3383.)
MATH 3401 Introductory Statistics for the Life Sciences
Prerequisite: MATH 1434 or MATH 1451 or a satisfactory score on a departmental placement
An introduction to elementary probability and statistics with applications to the life sciences. Topics include frequency
distributions, measures of central tendency and spread, probability concepts, discrete and continuous distributions,
point and interval estimation, hypothesis testing, and an introduction to linear correlation and regression. This course
includes one semester hour credit for laboratory sessions. May not be counted as part of a math major or a math studies
major. Students may not receive credit for both MATH 3401 and MATH 3404.
MATH 3404 Probability and Statistics with Computer Applications
Prerequisite: MATH 1451
A mathematical development of the basic concepts of probability and statistics, emphasizing the theory of discrete and
continuous random variables, with applications in science and engineering. Topics include descriptive statistics,
probability theory, random variables, expected value, probability density functions, probability distributions,
correlation and regression, and an introduction to statistical inference. This course includes one semester hour credit for
laboratory sessions.
MATH 4181, 4281, 4381, 4481 Special Topics
Topics are selected on basis of students‘ needs and the academic qualifications of the staff. A minimum of 30 hours of
study is required for each semester hour of credit. Up to one semester hour credit for laboratory sessions may be
included.
MATH 4201 Mathematical Topics for Teachers
Prerequisites: 15 hours of mathematics and junior or senior standing
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