Houston Baptist University Catalog

Mathematics ( MATH ) Course Descriptions

  • MATH 1034 PRECALCULUS MATHEMATICS LAB

    MATH 1034 Precalculus Mathematics Laboratory
    Prerequisite(s): MATH 1313 and MATH 1323 or a satisfactory score on a departmental placement exam
    Corequisite(s): MATH 1434

    This is the laboratory portion of MATH 1434, Precalculus Mathematics.

  • MATH 1051 CALCULUS I LAB

    MATH 1051 Calculus I Laboratory
    Prerequisite(s): MATH 1434 or a satisfactory score on a departmental placement exam
    Corequisite(s): MATH 1451

    This is the laboratory portion of MATH 1451, Calculus I.

  • MATH 1052 CALCULUS II LAB

    MATH 1052 Calculus II Laboratory
    Prerequisite(s): MATH 1451
    Corequisite(s): MATH 1452

    This is the laboratory portion of MATH 1452, Calculus II.

  • MATH 1301 INTRODUCTORY ALGEBRA

    MATH 1301 Introductory Algebra
    Prerequisite(s): None
    An in-depth review of arithmetic and algebraic skills including fractions, signed arithmetic, order of operations, signed and fractional exponents, solving linear equations and inequalities. This course is offered to aid students with deficiencies in basic mathematical skills. Students who already have credit in a higher-level mathematics course will not be given credit in this course. This course may not be counted as part of the mathematics major or mathematical studies major.

  • MATH 1302 INTERMEDIATE ALGEBRA

    MATH 1302 Intermediate Algebra
    Prerequisite(s): MATH 1301 and MATH SAT score of at least 400 or MATH ACT score of at least 18, or a satisfactory score on a HBU required math placement exam
    This course is intended for students who have had some previous exposure to algebra, either an introductory algebra course or two years of high school algebra. Topics include: linear equations and inequalities, absolute value, quadratic equations, polynomials, rational functions, algebraic fractions, exponentials and radicals, systems of linear equations, and applications. Students who already have credit for a higher-level mathematics course will not be given credit for this course. This course may not be counted as part of the mathematics major or the mathematical studies major.

  • MATH 1305 MATH FOR CRITICAL THINKING

    MATH 1305 Math for Critical Thinking
    Prerequisite(s): MATH 1301 or MATH 1302 or a MATH SAT/ACT score of at least 450/20 or a satisfactory score on a HBU required math placement exam
    Mathematical topics needed for the critical evaluation of quantitative information and arguments, including set theory, counting, logic, and the critical appraisal of graphs and tables, including the use of some simple mathematical models, and an introduction to probability and statistics. Additional topics may be selected from finance, graph theory, number theory, geometry and matrix theory. This course may not be counted as part of a mathematics major or a mathematical studies major.

  • MATH 1313 COLLEGE ALGEBRA

    MATH 1313 College Algebra
    Prerequisite(s): MATH 1302 or a satisfactory score on a HBU required math placement exam
    Evaluating and manipulating algebraic expressions, the laws of exponents, polynomials, factoring, rational expressions, radicals, the quadratic formula, solving equations and inequalities, systems of linear equations, an introduction to graphing, and applications. Students with no previous exposure to algebra should take MATH 1302 before MATH 1313. MATH 1313 may not be counted as part of a mathematics major. It may not be counted as part of a mathematical studies major except by students with a specialization in middle grades.

  • MATH 1323 TRIGONOMETRY

    MATH 1323 Trigonometry
    Prerequisite(s): MATH 1313 or a satisfactory score on a HBU required math placement exam
    A study of trigonometric functions, exponentials, logarithms, and applications for students needing a more comprehensive background than the accelerated coverage given in MATH 1434. This course may not be counted as part of the mathematics major.

  • MATH 1434 PRECALCULUS MATHEMATICS

    MATH 1434 Precalculus Mathematics
    Prerequisite(s): MATH 1323 or a satisfactory score on a HBU required math placement exam
    Corequisite(s): MATH 1034

    Sets, relations, functions, roots of polynomial equations, trigonometry, and analytic geometry. This course may not be counted as part of the mathematics major. This course includes one semester hour credit for laboratory sessions.

  • MATH 1451 CALCULUS I

    MATH 1451 Calculus I
    Prerequisite(s): MATH 1434 or a satisfactory score on a HBU required math placement test
    Corequisite(s): MATH 1051

    Limits, continuity, differentiation and integration of elementary and transcendental functions, L’H?pital’s Rule. Applications, including rates of change, max/min problems, and area between curves. This course includes one semester hour credit for laboratory sessions.

  • MATH 1452 CALCULUS II

    MATH 1452 Calculus II
    Prerequisite(s): MATH 1451
    Corequisite(s): MATH 1052

    A continuation of MATH 1451. Topics include: Techniques and applications of integration, improper integrals, parametric representations of curves, polar coordinates, L’H?pital’s Rule, numerical approximation of integrals, an introduction to differential equations, and infinite series. This course includes one semester hour credit for laboratory sessions.

  • MATH 2023 LINEAR ALGEBRA LAB

    MATH 2023 Linear Algebra Laboratory
    Prerequisite(s): MATH 1451
    Corequisite(s): MATH 2423

    This is the laboratory portion of MATH 2423, Linear Algebra.

  • MATH 2051 CALCULUS III LAB

    MATH 2051 Calculus III Laboratory
    Prerequisite(s): MATH 1452
    Corequisite(s): MATH 2451

    This is the laboratory portion of MATH 2451, Calculus III.

  • MATH 2181 SPECIAL TOP/INDEPENDENT STUDY

    MATH 2181 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included. A laboratory may or may not be included.

  • MATH 2201 FOUNDATIONS OF HIGHER MATH

    MATH 2201 Foundations of Higher Mathematics
    Prerequisite(s): MATH 1451
    This course is a mathematically rigorous introduction to fundamental concepts required for higher-level mathematics. Topics include logic, sets, relations, functions, and algebraic structures, with an emphasis on formal mathematical proof techniques. It is required for the mathematics major.

  • MATH 2281 SPECIAL TOP/INDEPENDENT STUDY

    MATH 2281 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included. A laboratory may or may not be included.

  • MATH 2302 FOUND:ARITHMETIC/NUMERATION

    MATH 2302 Foundations of Arithmetic and Numeration
    Prerequisite(s): MATH 1305 or higher level mathematics
    A study, from an advanced perspective, of the concepts and skills involved in arithmetic and numeration. Topics include sets, rational numbers (whole numbers and place value, fractions, integers and decimals), number theory, properties and algebraic reasoning, arithmetic operations, percents, ratios, and proportions. Problem solving is emphasized. This course, designed for education majors, may not be counted as part of the mathematics major or minor or meet the Liberal Arts Core Curriculum, math proficiency requirement.

  • MATH 2303 GEOMETRY/MEASURE/PROB/STAT

    MATH 2303 Foundations of Geometry, Measurement, Probability & Statistics
    Prerequisite(s): MATH 1305 or higher level mathematics
    A study, from an advanced perspective, of the basic concepts and methods of geometry, measurement, probability and statistics. Topics include: representation and analysis of data; discrete and conditional probability; measurement; and geometry as approached through similarity and congruence, through coordinates, and through transformations. Problem solving is emphasized. This course, designed for education majors, may not be counted as part of the mathematics major or minor or meet the Liberal Arts Core Curriculum, math proficiency requirement.

  • MATH 2381 SPECIAL TOP/INDEPENDENT STUDY

    MATH 2381 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included. A laboratory may or may not be included.

  • MATH 2423 LINEAR ALGEBRA

    MATH 2423 Linear Algebra
    Prerequisite(s): MATH 1451
    Corequisite(s): MATH 2023

    Introduction to linearity in mathematics. Topics include: matrices, determinants, abstract vector spaces, linear dependence, bases, eigenvalues and eigenvectors, and linear transformations. This course includes one semester hour credit for laboratory sessions.

  • MATH 2451 CALCULUS III

    MATH 2451 Calculus III
    Prerequisite(s): MATH 1452
    Corequisite(s): MATH 2051

    A continuation of MATH 1452. Topics include: three-dimensional coordinate systems, quadric surfaces, cylindrical and spherical coordinates, vector calculus in three dimensions, partial derivatives, the total differential, multiple integrals, line integrals, surface integrals, vector fields, Green’s Theorem, Stokes’ Theorem, the Divergence Theorem, and applications. This course includes one semester hour credit for laboratory sessions.

  • MATH 2481 SPECIAL TOP/INDEPENDENT STUDY

    MATH 2481 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included. Laboratory may or may not be included.

  • MATH 3001 INTRO TO STATS FOR LIFE SCIENC

    MATH 3001 Introductory Statistics for the Life Sciences Laboratory
    Prerequisite(s): MATH 1434 or MATH 1451 or a satisfactory score on a departmental placement examination
    Corequisite(s): MATH 3401

    This is the laboratory portion of MATH 3401, Introductory Statistics for the Life Sciences.

  • MATH 3004 PROBABILITY/STAT LAB

    MATH 3004 Probability and Statistics with Computer Applications Laboratory
    Prerequisite(s): MATH 1451
    Corequisite(s): MATH 3404

    This is the laboratory portion of MATH 3404, Probability and Statistics with Computer Applications.

  • MATH 3181 SPECIAL TOP/INDEPENDENT STUDY

    MATH 3181 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included. A laboratory may or may not be included.

  • MATH 3281 SPECIAL TOP/INDEPENDENT STUDY

    MATH 3281 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included. A laboratory may or may not be included.

  • MATH 3302 FOUNDATIONS OF GEOMETRY

    MATH 3302 Foundations of Geometry
    Prerequisite(s): MATH 1451
    A study of classical Euclidean geometry using both analytic and synthetic techniques, with an emphasis on the formal development of geometry. Topics include: axiomatic systems, congruence and similarity, transformations, area and volume, Euclidean construction, finite geometries, and a brief introduction to non-Euclidean geometry. This course is required for the mathematical studies major but may not be counted as part of a mathematics major.

  • MATH 3311 INTRO:DISCRETE MATH/COMBINATOR

    MATH 3311 Introduction to Discrete Mathematics and Combinatorics
    Prerequisite(s): MATH 1451. (Completion of MATH 2201 is highly recommended prior to taking MATH 3311.)
    This course introduces students to elements of combinatorics, number theory, and discrete structures. Topics covered include: permutations, combinations, prime factorizations, the Euclidean Algorithm, relations, the pigeonhole principles, inclusion and exclusion, and finite state machines. It exposes students to areas of mathematics of current practical interest and involves the use of proof and algorithmic thinking.

  • MATH 3331 NONLINEAR DYNAMICS AND CHAOS

    MATH 3331 Nonlinear Dynamics and Chaos
    Prerequisite(s): MATH 3333
    An introduction to dynamical systems. This course develops the theory for normal forms, structural stability of solutions, robust behavior, transversality, and local bifurcations.

  • MATH 3333 ORDINARY DIFFERENTIAL

    MATH 3333 Ordinary Differential Equations
    Prerequisite(s): MATH 1452 and MATH 2423
    A first course. Topics include: existence and uniqueness of solutions, solutions of linear equations, solutions of higher order linear equations with constant coefficients, infinite series solutions, numerical solutions, solutions of linear systems, an introduction to nonlinear differential equations, and application.

  • MATH 3334 PARTIAL DIFFERENTIAL EQUATIONS

    MATH 3334 Partial differential Equations
    Prerequisite(s): 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 INTRO TO ABSTRACT ALGEBRA

    MATH 3353 Introduction to Abstract Algebra
    Prerequisite(s): MATH 1452 and MATH 2201 and MATH 2423
    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

    MATH 3364 Mathematical Computing
    Prerequisite(s): MATH 1451 or consent of 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. This course may be repeated for credit provided a different computer programming language is used.

  • MATH 3371 INTRO:COMPLEX VARIABLES

    MATH 3371 Introduction to Complex Variables
    Prerequisite(s): MATH 2451
    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 3381 SPECIAL TOP/INDEPENDENT STUDY

    MATH 3381 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included. Laboratory may or may not be included.

  • MATH 3383 MATHEMATIAL METHODS FOR

    MATH 3383 Mathematical Methods for Science and Engineering
    Prerequisite(s): Credit for or concurrent enrollment in MATH 3333 and MATH 2451
    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 INTRO STAT FOR LIFE SCIENCES

    MATH 3401 Introductory Statistics for the Life Sciences
    Prerequisite(s): MATH 1434 or MATH 1451 or a satisfactory score on a Calculus I qualifying HBU required math placement examination
    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, analysis of variance, 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

    MATH 3404 Probability and Statistics with Computer Applications
    Prerequisite(s): 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 3481 SPECIAL TOP/INDEPENDENT STUDY

    Math 3481 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included.

  • MATH 4001 INTRO TO NUMERICA ANALYSIS LAB

    For course description and prerequisite(s) for this course, please contact the Dean of the College of Science and Mathematics.

  • MATH 4181 SPECIAL TOP/INDEPENDENT STUDY

    MATH 4181 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included.

  • MATH 4201 MATHEMATICAL TOPICS:TEACHERS

    MATH 4201 Mathematical Topics for Teachers
    Prerequisite(s): 15 hours of mathematics and junior or senior standing
    A review of mathematical topics of special interest to students obtaining teacher certification in mathematics, including material from algebra, geometry, probability, statistics, linear algebra, discrete math, and others. This course includes instruction on technology used in teaching mathematics, both graphing calculators and computer software. Required for the mathematical studies major, but may not be counted as part of a mathematics major.

  • MATH 4281 SPECIAL TOP/INDEPENDENT STUDY

    MATH 4281 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included. Laboratory may or may not be included.

  • MATH 4301 REAL VARIABLES I

    MATH 4301 Real Variables I
    Prerequisite(s): MATH 2451 and MATH 2201
    A rigorous introduction to mathematical analysis. Topics covered include: the real and complex number systems, basic topology, numerical sequences and series, continuity of functions, and differentiation.

  • MATH 4302 REAL VARIABLES II

    MATH 4302 Real Variables II
    Prerequisite(s): MATH 4301
    A continuation of MATH 4301. Further study of mathematical analysis. Topics covered include: Riemann integration, sequences and series of functions, functions of several variables, and integration of differential forms.

  • MATH 4310 ADV DISCRETE MATH/COMBINATORIC

    MATH 4310 Advanced Discrete Mathematics and Combinatorics
    Prerequisite(s): MATH 3311
    Further study of enumerative techniques and discrete structures including generating functions, recurrence relations, graph theory, spanning trees, optimization, and Boolean algebras.

  • MATH 4311 TOPOLOGY I

    MATH 4311 Topology I
    Prerequisite(s): MATH 3353 or MATH 4301
    An introduction to topology and its applications. Topics include: a review of basic abstract algebra; the definition of a topological space, interior, closure, and boundary of sets; subspace, product, and quotient topologies; continuity and homeomorphisms; metrics and metric spaces; connectedness; and compactness.

  • MATH 4312 TOPOLOGY II

    MATH 4312 Topology II
    Prerequiste(s): MATH 4311
    A continuation of MATH 4311. Topics include: dynamical systems and chaos, homotopy and degree theory, fixed point theorems, embeddings, knots, graphs, and manifolds.

  • MATH 4332 DYNAMICS AND BIFURCATIONS

    MATH 4332 Dynamics and Bifurcations
    Prerequiste(s): MATH 2201 and MATH 2451
    Introduction to the theory of equilibrium solutions of nonlinear equations. Presentation of the theory of bifurcations includes the analysis of the nonlinear ordinary and algebraic equations that arise from the methods of reduction by projections.

  • MATH 4341 MATHEMATICAL BIOLOGY

    MATH 4341 Mathematical Biology
    Prerequisite(s): MATH 3333
    Introduction to modeling in biology and genetics. Some of the models covered include populations models; host-parasite models; and gene spread models as described by difference equations, differential equations, and partial differential equations. The emphasis of this course will be to familiarize students with the selection of models and predictions based on the models chosen.

  • MATH 4353 ADVANCED ABSTRACT ALGEBRA

    MATH 4353 Advanced Abstract Algebra
    Prerequisite(s): MATH 3353
    A continuation of MATH 3353. The focus of this course is on rings, domains, fields, polynomials, Galois theory, Boolean algebra, and modules. Other topics may be covered if time permits.

  • MATH 4372 ADVANCED COMPLEX VARIABLES

    MATH 4372 Advanced Complex Variables
    Prerequisite(s): MATH 3371
    Further study of differentiable complex-valued functions of a single complex variable. Topics include: residue theory and contour integrals, z-transforms, conformal mapping, harmonic functions and their applications, Fourier Series, and Laplace transforms.

  • MATH 4380 DIFFERENTIAL GEOMETRY

    MATH 4380 Differential Geometry
    Prerequisite(s): MATH 2451 and MATH 2201
    An introduction to diffeomorphisms and smooth manifolds. Topics covered include: tangent spaces, orientation of manifolds, vector fields, homotopy, and the index of a map.

  • MATH 4381 SPECIAL TOP/INDEPENDENT STUDY

    MATH 4381 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included. Laboratory may or may not be included.

  • MATH 4401 INTRO:NUMERICAL ANALYSIS

    MATH 4401 Introduction to Numerical Analysis
    Prerequisite(s): MATH 2451 and MATH 3364
    An introduction to modern approximation techniques. This course shows how, why, and when numerical techniques can be expected to work and fail. It demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. Topics covered include: approximating solutions to equations in one variable, interpolation and approximation of polynomials, numerical differentiation and integration, applications to differential equations, and solutions of both linear and nonlinear systems of equations.

  • MATH 4481 SPECIAL TOP/INDEPENDENT STUDY

    MATH 4481 Special Topics/Independent Study
    Prerequisite(s): None
    Topics are selected on basis of student need and academic qualifications of staff. If regular lectures are not given, a minimum of 30 hours of work for each hour credit must be included. Laboratory may or may not be included.