Catalog Entries |
Fall 2012
Jun 06, 2023 |
|
 |
||
 | Select the Course Number to get further detail on the course. Select the desired Schedule Type to find available classes for the course. |
| MTH 103 - Intermediate Algebra |
|
Topics from second-year algebra to form an introduction to college algebra.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Typical Freshman Course, Phi Beta Kappa Liberal Arts |
| MTH 105 - Math for Elementary Teachers |
|
Typical elementary school topics will be reviewed and extended to related topics of exponential notation, significant figures, measures of change, economic principles and the normal distribution. In so doing, all applicable NCTM Standards will be covered.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts |
| MTH 125 - Practical Math |
|
To present common situations requiring quantitative analysis or calculations, to prepare the student to think logically through these situations, to model them mathematically, and to reach an accurate conclusion. Two years of high school algebra is expected. This course is repeatable to a max of 9 credits.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts |
| MTH 131 - Earth Algebra |
|
College Algebra material; environmental issues; functions; atmospheric carbon dioxide concentration; composite functions and inverses; global temperature and ocean level; quadratic functions; systems of linear equations and matrices; carbon dioxide emission. P: Four semesters of high school algebra.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts |
| MTH 139 - Precalculus |
|
This course will cover the basic concepts that are required for further study of mathematics including a course in calculus. The course topics include solving linear, quadratic, exponential and logarithmic equations; linear and quadratic inequalities; properties and graphs of polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions; angles; right triangles; trigonometric identities and equations.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Typical Freshman Course, Phi Beta Kappa Liberal Arts |
| MTH 141 - Applied Calculus |
|
Main topic is differential and integral calculus and applications. Includes sections on partial derivatives. Course designed primarily for students in the College of Business Administration.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: COBA_Mathematical Sciences, CCAS Course, Typical Freshman Course, Phi Beta Kappa Liberal Arts, Pre-Pharmacy Course |
| MTH 201 - Applied Mathematics |
|
Foundations of quantitative reasoning, applications of systems of equations, optimization techniques, probability, and statistics.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS_CoreE_Mathematics, COBA_Mathematical Sciences, CCAS Course, Typical Freshman Course, Phi Beta Kappa Liberal Arts |
| MTH 245 - Calculus I |
|
Differential and integral calculus of algebraic functions.
4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion, Offsite Course All Sections for this Course Mathematics Department Course Attributes: CCAS_CoreE_Mathematics, COBA_Mathematical Sciences, CCAS Course, Typical Freshman Course, Phi Beta Kappa Liberal Arts, Pre-Pharmacy Course |
| MTH 246 - Calculus II |
|
Techniques of integration, indeterminate forms, infinite series. P: MTH 245.
4.000 Credit hours 4.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion, Offsite Course Mathematics Department Course Attributes: CCAS_CoreE_Mathematics, CCAS Course, Typical Freshman Course, Phi Beta Kappa Liberal Arts |
| MTH 249 - Modeling the Physical World I |
|
First semester in the sequence on mathematical modeling using calculus. Course is taught jointly with PHY 221. Topics include elementary differential equations, techniques of integration, sequences and series, vector analysis, and applications. P: MTH 245. CO: PHY 221.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS_CoreE_Mathematics, CCAS Course, Phi Beta Kappa Liberal Arts |
| MTH 310 - Fundamentals of Mathematics |
|
A systematic study of the basic concepts in mathematics, including set theory; logic; proof techniques, basic properties of integers; relations; functions; congruences; introduction to groups; sequences and series; basic properties of a topological space.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 347 - Calculus III |
|
This course covers vector algebra and calculus in two- and three-dimensional space. P: MTH 246.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion, Offsite Course Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 349 - Modeling the Physical World II |
|
Second semester in the sequence on mathematical modeling using calculus. Course is taught jointly wiht PHY 222. Topics include multivariable functions and calculus, series integration (Green's, Stokes', and Divergence theorems) and applications. P: MTH 249 and PHY 221. CO: PHY 222.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 355 - Essentials of Epidemiology |
|
This course introduces the concepts and includes exercises related to epidemiology, the discipline that serves as the basic science of public health, or population health, by providing evidence for defining the public health problem, assessing causation, and evaluating effectiveness of potential interventions.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 363 - Elementary Probability and Statistics |
|
Non-calculus approach with emphasis on measures of central tendency and variability, distributions and testing of hypothesis. Designed for students in natural and social sciences, or business.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 431 - Mathematical History, Philosophy And Ethics |
|
An examination of mathematics and mathematical ideas and their relation to philosophical and ethical views from the ancient Babylonians and Pythagoreans to the present. Special attention will be given to non-Western mathematics, ethnomathematics, twentieth-century game theory, encryption, and ethical issues facing the mathematician and society in the past and today. The course assumes no mathematical background beyond the Core E requirements. P: Sr. stdg; PHL 250 or JPS/THL 250.
3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS_CoreA_Senior Perspective, CCAS_Certified Writing, CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 493 - Directed Independent Readings |
|
May be repeated to a limit of six hours. P: DC.
1.000 TO 3.000 Credit hours 1.000 TO 3.000 Lecture hours Levels: Undergraduate Schedule Types: Independent/Directed Study, Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 495 - Directed Independent Study |
|
May be repeated to a limit of six hours. P: DC.
1.000 TO 3.000 Credit hours 1.000 TO 3.000 Lecture hours Levels: Undergraduate Schedule Types: Independent/Directed Study, Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 497 - Directed Independent Research |
|
May be repeated to a limit of six hours. P: DC.
1.000 TO 3.000 Credit hours 3.000 Lecture hours Levels: Undergraduate Schedule Types: Independent/Directed Study, Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 513 - Probability And Statistics In The Health Sciences |
|
This course covers topics in probability and statistics considered useful to those students planning on a career in the health sciences. The topics covered include probability principles and distributions in health sciences, types of epidemiologic study designs, estimation of medical parameters in defined patient populations, test of hypothesis, measures and analysis of treatment of the sick, analysis of variance, methods of medical outcome prediction, and prospective, retrospective and cross-sectional studies of disease occurrence. P: MTH 246.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 521 - Euclidean And Non-Euclidean Geometry |
|
Basic geometric concepts and applications. P: MTH 246.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 525 - Automata, Computability, and Formal Languages |
|
Finite state concepts; acceptors; formal grammars; computability; Turing machines. P: MTH 509.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 529 - Linear Algebra |
|
Vector spaces and subspaces; linear transformations; matrices, eigenvalues and eigenvectors. P: MTH 246 or 249.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 543 - Numerical Analysis |
|
Numerical differentiation and integration; solutions of equations and systems of equations; polynomial approximation; error analysis and eigenvectors; applications to digital computers. P: MTH 246.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 545 - Differential Equations |
|
n-th order linear differential equations; nonlinear differential equations; series solutions; Laplace transforms. P: MTH 246.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Independent/Directed Study, Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 546 - Partial Differential Equations |
|
Integral curves and surfaces of vector fields; the Cauchy-Kovalesky theorem; general linear PDEs, their characteristics and classification; solutions to, and applications of, linear and quasi-linear first order and second order PDEs; Laplace's equation, the heat equation and the wave equation. P: MTH 545.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 547 - Mathematics In Medicine And The Life Sciences |
|
This course is intended to be an overview of a variety of mathematical topics considered usefull to those students intending to pursue a career in medicine or the life sciences. The topics covered include mathematics of populations, growth of bacterial cultures, inheritance, bacterial genetics, plasmids, theory of epidemics, biography, the growth of bacteria on plates, heart and circulation, gas exchange in the lungs, electrical properties of cell membranes, and muscle mechanics. P: MTH 347.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 551 - Differential Geometry |
|
Calculus of curves, surfaces and manifolds; topics will include hyperbolic geometry, vectors and tensors, fundamental forms, curvature, covariant derivatives, with applications to special and general relativity. P: MTH 347.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 555 - Chaotic Dynamical Systems |
|
This course will study discrete dynamical systems. Topics covered will include one - dimensional and higher - dimensional dynamical systems, fixed points, stability theory, linearization, phase spaces, bifurcation theory, index theory, limit cycles and periodicity, chaos, and attractors. Applications to Biology, Physics, Chemistry, and other areas will be studied. P: MTH 347 and MTH 529.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Upper Division |
| MTH 559 - Topology |
|
Set theory; metric space; topological spaces; connectedness; compactness; selected related topics. P: MTH 246.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 561 - Mathematical Statistics I |
|
Introduction to probability and probability distributions including techniques for finding expected values and variance of discrete and continuous variables. These distributions and their properties are examined to establish their application to applied statistical methods. P: MTH 246.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 562 - Mathematical Statistics II |
|
Using probability distributions as a foundation and random sampling, methods for estimating distribution parameters are developed with applications to hypothesis testing. The course also includes an introduction to linear models, regression analysis, analysis of variance and design of experiments. P: MTH 561.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 563 - Mathematical Statistics III |
|
Optimal decision procedures, further normal distribution theory, noncentral chi-square and F distributions, introduction to the theoretical basis for analysis of variance, nonparametric methods. P: MTH 562.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 571 - Operations Research |
|
Introductory course in operations research. Linear models and solutions using the simplex method, duality theory and sensitivity analysis. P: MTH 523 or 529.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 572 - Fuzzy Logic |
|
Overview of classical logic; multivalued logics; fuzzy propositions; linguistic hedges; inference from conditional propositions; inference from conditional and qualified propositions; inference from quantified propositions; evidence theory; rough set theory; applications to law. P: MTH 201 or 245.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion, Seminar Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 573 - Probabilistic Models |
|
Queuing theory, inventory theory, Markov processes, simulation and nonlinear programming. P: MTH 561.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 575 - Introductory Stochastic Processes |
|
Random walk, normal processes and covariance stationary processes, counting processes and Poisson processes, renewal counting processes, discrete and continuous parameter Markov chains. P: MTH 561.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 581 - Modern Algebra I |
|
Groups, rings; fields; applications to coding theory. P: MTH 310.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS_Certified Writing, CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 582 - Modern Algebra II |
|
Rings; ideals; field extensions; Galois theory; applications to coding theory. P: MTH 581.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 583 - Fuzzy Mathematics: Applications In Health Siences |
|
Crisp sets; fuzzy sets; classical logic; fuzzy logic; fuzzy complement; fuzzy union; fuzzy intersection; crisp and fuzzy relations; similarity relations; compatibility relations; orderings; morphisms; fuzzy relational equations. P: MTH 246.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 591 - Analysis I |
|
Properties of Euclidean spaces and their applications to functions. P: MTH 310.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS_Certified Writing, CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 592 - Analysis II |
|
Continuation of MTH 591; functions in metric space. P: MTH 591.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Independent/Directed Study Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 593 - Complex Analysis |
|
Complex arithmetic, polar representations, functions of a complex variable, analyticity and the Cauchy-Riemann equations, complex integration, Cauchy Integral Formula, series, poles and residues, applications to real integration, conformal mappings. P: MTH 347.
3.000 Credit hours 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Lecture/Discussion Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
| MTH 599 - Seminar |
|
Topics in advanced mathematics selected by the instructor. P: IC.
1.000 TO 3.000 Credit hours 1.000 TO 3.000 Lecture hours Levels: Graduate, Undergraduate Schedule Types: Seminar Mathematics Department Course Attributes: CCAS Course, Phi Beta Kappa Liberal Arts, Upper Division |
|