|
Subject
|
Catalog
Number |
Course Title
|
Course Description |
Spring 2010
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Summer 2010
|
MATH
|
3000
|
Math Elective
|
Math 3000 Level Elective
|
X
|
N/A
|
MATH
|
3030
|
Math for EC-8 SPED Teachers
|
Prerequisites: College Algebra Topics from elementary mathematics including number systems and coomputation, probability and statistics, problem solving, two-dimensional and three-dimensional Euclidean geometry, measurement, coordinate geometry, and number theory.
|
X
|
N/A
|
MATH
|
3031
|
Mathematics for EC-6 I
|
Prerequisites: College Algebra. Introductory Concepts from elementary mathematics. Included are: problem solving, set theory, an introduction to number systems and computation; basic probability and statistics, fundamentals of Euclidean Geometry including basic shapes, 2 dimensional coordinate systems, measurement and an introduction to number theory. No credit if credit received for Math 3033 or equivalent.
|
Offered
|
N/A
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MATH
|
3032
|
Mathematics for EC-6 II
|
Prerequisites: Math 3031 or equivalent. Advanced concepts from elementary mathematics. Included are: problem solving; number bases; computational algorithms; the real number system; three dimensional geometry and measurement; 3D coordinate and transformational geometry; probability and statistics; and number theory. No credit if credit received for Math 3037 or equivalent.
|
Offered
|
N/A
|
MATH
|
3033
|
Structures Of Number Systems
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Structure of arithmetic for elementary teachers. A set-theory approach to development of the real number system; fundamental operation and concept of arithmetic, systems of numeration. No credit if credit received for Math 3031 or equivalent.
|
X
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N/A
|
MATH
|
3034
|
Algebra Through Technology
|
Prerequisite: College algebra. Using technology to investigate topics in elementary functions, simultaneous equations, polynomials, and elementary topics in number theory.
|
Offered
|
N/A
|
MATH
|
3035
|
Euclidian/Non-Euclidian Geom
|
Prerequisite: College algebra. Formal set theory, logical structure and measurement.
|
Offered
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N/A
|
MATH
|
3036
|
Problem Solving
|
Prerequisite: MATH 3037or equivalent or instructor permission. Problem solving through experiences and reasoning; ideas from areas such as pattern recognition, simulation and logical deduction.
|
Offered
|
N/A
|
MATH
|
3037
|
Fnd/Informal Geom/Stat Analys
|
Prerequisite: MATH 3033. Identification and measurement of plane and solid figure transformations and symmetry of geometric shapes; introduction to discrete probability; statistical analysis of data and methods of displaying information. No credit if credit received for Math 3032 or equivalent.
|
X
|
N/A
|
MATH
|
3038
|
Computational Statistics
|
Prerequisite: College algebra or equivalent. Descriptive statistics, basic probability concepts, normal distribution, parameter estimation, testing of hypothesis, correlation and regression, statistical computation using Excel.
|
Offered
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N/A
|
MATH
|
3039
|
Math for 8-12 SPED Teachers
|
Prerequisites: College Algebra, MATH 3030. Topics from elementary functions, polynomial and number theory, geometry and special reasoning, problem solving, and proofs, with an emphasis on the use of technologies appropriate to the teacher of students within this category.
|
X
|
N/A
|
MATH
|
3131
|
Intro to Linear Algebra
|
Prerequisite: Precalculus or Calculus I. Systems of linear equations; vector spaces, linear transformations, determinants, matrices, eigenvalues and eigenvectors; applications to coding and difference equations.
|
Offered
|
N/A
|
MATH
|
3231
|
Calculus III
|
Prerequisites: Calculus I, II, and MATH 3131. Vectors and vector valued functions, functions of multiple variables, partial derivatives, multiple integrals, volume and surface area and vector calculus.
|
X
|
N/A
|
MATH
|
3331
|
Discrete Mathematics
|
Prerequisite: College algebra. Logic, set theory, algebraic structures, graph theory and networks.
|
Offered
|
N/A
|
MATH
|
3334
|
Prob & Stat for Scients & Engs
|
Prerequisite: Calculus I and II. Graphical representation of data, measures of centrality and variability, concepts and rules of probability, discrete probability distribution, normal distribution, sampling distributions, central limit theorem, parameter estimation, testing of hypothesis, two sample methods, analysis of variance, correlation and regression analysis.
|
X
|
N/A
|
MATH
|
4000
|
Math Elective
|
Math 4000 Level Elective
|
X
|
N/A
|
MATH
|
4030
|
Intro to Modn Alg & Numb Theor
|
Prerequisite: Calculus II. An introduction to techniques of proof, problem solving, and applications using topics from number theory, modern algebra and logic such as groups, rings, fields, congruence classes, modular arithmetic, symmetries, permutations, and inductive and deductive argument forms.
|
X
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N/A
|
MATH
|
4031
|
History Math Sciences
|
Temporal relationships of concepts by means of biographic studies; development of mathematical theory and applications from ancient to contemporary times.
|
X
|
N/A
|
MATH
|
4034
|
Diagnostic Mathematics
|
Prerequisite: MATH 3032 or MATH 3037. Research methods of identification, diagnosis and remediation of learning problems in mathematics.
|
X
|
N/A
|
MATH
|
4131
|
Ordinary Diff Equat Appl
|
Prerequisite: MATH 3231. Solutions of ordinary differential equations of first and second order, Laplace transforms, power series techniques, systems of equations, stability, numerical methods, geometric and physical applications.
|
Offered
|
N/A
|
MATH
|
4132
|
Number Theory
|
Prerequisite: Calculus and either MATH 3036 or MATH 3131. Properties of divisibility. Prime numbers, congruence arithmetic, quadratic reciprocity and applications of these ideas, an overview of techniques of mathematical proof.
|
Offered
|
N/A
|
MATH
|
4133
|
Intro to Topology
|
Prerequisite: MATH 4331. Topological techniques in analysis, metric spaces, continuous transformations, connectivity, separation, compactness; nets and filters, cardinal arithmetic.
|
Offered
|
N/A
|
MATH
|
4135
|
Numerical Analysis & Its Appl
|
Prerequisites: MATH 3131, MATH 3231, MATH 4131 and C/C++ or equivalent. Introduction to methods and algorithms in numerical computation. The topics include techniques for finding the roots of equations an interpolation functions, numerical approximation of differentiation and integration, numerical solutions to ordinary differential equations, linear systems and nonlinear systems.
|
Offered
|
N/A
|
MATH
|
4136
|
Math Software Applications
|
Prerequisite: MATH 3131 and MATH 4131. Explores current applications of computers in mathematics using Mathematica. Symbolic, numerical and graphical computing will be applied to various mathematical problems normally viewed as beyond the scope of the course in which they are first introduced. A variety of programming paradigms, such as procedural programming and function programming will be emphasized.
|
X
|
N/A
|
MATH
|
4231
|
Predicate Logic
|
An introduction to predicate logic; elements of formal logic systems; set theory and propositional calculus, completeness theorems and the nature of proofs.
|
X
|
N/A
|
MATH
|
4232
|
Intro to Abstract Algebra
|
Prerequisite: Calculus and MATH 3131. Study of algebraic structures: maps, operations, permutations and homomorphisms. Groups, rings, integral domains, and fields; applications to symmetry; techniques of mathematical proof.
|
X
|
N/A
|
MATH
|
4235
|
Theory Of Models and Apps
|
Prerequisite: MATH 3131 and MATH 4131 or equivalent. Simulation and analysis on continuous and discrete mathematical models in sciences. It also includes the study of nonlinear dynamics, chaos and fractals.
|
X
|
N/A
|
MATH
|
4236
|
Intro to Survey Sampling
|
Prerequisite: One semester of elementary statistics is preferred. An introduction to the sample surveys and the analysis of survey data.
|
X
|
N/A
|
MATH
|
4238
|
Data Mgmt &Analysis Using SAS
|
Prerequisite: one semester elementary statistics course preferred. An introduction to the statistical package SAS. The course will focus on data step programming and some selected
|
X
|
N/A
|
MATH
|
4331
|
Advanced Calculus
|
Prerequisite: MATH 3231 or equivalent. Set theory. Real number system. Sequences and series. Differentiation. The Riemann integral.
|
Offered
|
N/A
|
MATH
|
4431
|
Intro To Analysis
|
Prerequisite: MATH 4331 or equivalent. Real numbers, sequences and series, differentiation and measure theory; Riemann, Stieltjes and Lebesgue integrals.
|
X
|
N/A
|
MATH
|
4434
|
Intro To Probability
|
Prerequisite: Calculus II. Sample space, probability function, combinatorics, discrete and continuous random variables, special probability distributions, moment generating function, multivariate distributions and central limit theorem.
|
X
|
N/A
|
MATH
|
4435
|
Introduction To Statistics
|
Prerequisite: MATH 4434 or equivalent. Sampling distributions, point and interval estimation, hypothesis testing, regression and correlation, nonparametric statistics, analysis of variance.
|
Offered
|
N/A
|
MATH
|
4436
|
Probability for Actuarial Exam
|
Prerequisite: One semester probabilty course preferred. This course is designed to prepare students for the first actuarial exam. This course consists of introducing/ reviewing
|
X
|
N/A
|
MATH
|
4633
|
Functions Of Cmplx Var
|
Prerequisite: MATH 3231 or equivalent. The theory of limits, differentiation and integration in the complex plane. Gauss' theorem and residue calculations.
|
X
|
N/A
|
MATH
|
4819
|
Indt Study In Mathematics
|
Prerequisite: Approval of instructor, chair and associate dean required. Independent study in Mathematics.
|
X
|
N/A
|
MATH
|
4839
|
Indt Study In Mathematics
|
Prerequisite: Approval of instructor, chair and associate dean required. Independent study in Mathematics.
|
X
|
N/A
|
MATH
|
4931
|
Select Topics In Mathematics
|
Identified by specific title each time course is offered.
|
X
|
N/A
|
MATH
|
5031
|
Problem Solving Strategies
|
A carefully developed systematic approach to teaching nine problem-solving strategies. Materials are intended to complement the subject matter normally taught in senior high school and higher level mathematics courses.
|
X
|
N/A
|
MATH
|
5033
|
Inst Application Of Algebra
|
A seminar on the content of secondary school courses in algebra and applicable instructional techniques.
|
X
|
N/A
|
MATH
|
5034
|
Geometry Seminar
|
A seminar on various current and potential approaches to the content of geometry and applicable instructional techniques.
|
Offered
|
N/A
|
MATH
|
5035
|
Precalculus-Math Tchrs 10-14
|
A seminar on various current and potential approaches to the content of precalculus mathematics with applicable instructional techniques.
|
X
|
N/A
|
MATH
|
5036
|
Calculus-Math Tchrs Gr 10-14
|
A seminar on various approaches to the teaching of introductory calculus.
|
X
|
N/A
|
MATH
|
5037
|
Technology For Math Curriculum
|
Prerequisite: Calculus, Intro Linear Algebra and Ordinary Differential Equations
|
X
|
N/A
|
MATH
|
5131
|
Abstract Algebra
|
Prerequisite: MATH 4232 or equivalent. Groups, rings, fields, modules; ideal theory, polynomial rings, algebraic and free groups.
|
X
|
N/A
|
MATH
|
5132
|
Real Analysis
|
Prerequisite: MATH 4431 or equivalent. General measure and integration theory. Banach and Hilbert spaces; applications to approximation theory, probability theory and summability.
|
X
|
N/A
|
MATH
|
5133
|
Complex Analysis
|
Prerequisite: MATH 4633 or equivalent. The theory of analytic functions and analytic continuation. Branched functions; an introduction to homotopy theory and basic metric space topology. Integration theory, Cauchy's theorem and residue theory.
|
Offered
|
N/A
|
MATH
|
5134
|
Logic
|
Prerequisite: MATH 4231 or equivalent. Propositional and predicate calculus; foundations, computability.
|
Offered
|
N/A
|
MATH
|
5136
|
Ordin Diff Equa And Dynam Sys
|
Prerequisites: MATH 3131, MATH 3231, and MATH 4131 or equivalent. This course covers the dynamical aspects of ordinary differential equations and the relationship between theory and applications. Fundamental theorems of solutions of ordinary differential equations oriented toward dynamical systems, local globe phase portrait analyses of nonlinear autonomous systems, and the criteria for the existence of periodic solutions are examined along with various applications.
|
X
|
N/A
|
MATH
|
5137
|
Topology and Geometry
|
Prerequisite: MATH 4133 or equivalent. Set Theory, Topological Spaces, Connectedness and Compactness, The Fundamental Group and Covering Spaces, Surfaces and their applications.
|
X
|
N/A
|
MATH
|
5231
|
Linear Algebra
|
Prerequisite: MATH 3131. Fields and vector spaces, determinants and their characterization, adjoints operators, eigenvalues and eigenvectors, diagonalizability, canonical forms and matrix functions.
|
X
|
N/A
|
MATH
|
5232
|
Number Theory
|
Prerequisite: MATH 4132 or equivalent. An introduction to analytic number theory, which uses the tools of analysis (particularly complex function theory) to investigate questions in number theory. The distribution of the primes is of central interest. Some of the tools developed are Dirichlet series, character theory, formal power series and contour integration. Various topics in arithmetical functions are also considered.
|
X
|
N/A
|
MATH
|
5330
|
Math Software & Modeling Simul
|
Prerequisite: MATH 3131 and MATH 4131 or equivalent. Explores computer software in applied Mathematics using Matlab. A variety of programming paradigms are emphasized. A collection of topics in applied Mathematics, chaos and neuroscience modelings, are incorporated into Matlab programming.
|
X
|
N/A
|
MATH
|
5333
|
Numerical Analysis
|
Prerequisite: MATH 3131, MATH 3231, MATH 4131 and C/C++ or equivalent. Mathematical analysis and numerical computation of solutions to linear and nonlinear systems, ordinary differential equations, integral equations and boundary value problems.
|
X
|
N/A
|
MATH
|
5431
|
Mathematical Modeling App Sci
|
Prerequisite: MATH 4235 or equivalent. Techniques for analyzing and simulating physical, chemical and biological processes.
|
Offered
|
N/A
|
MATH
|
5931
|
Research Topics In Math
|
Identified by specific titles each time course is offered.
|
X
|
N/A
|
MATH
|
5939
|
Indt Study In Math
|
Prerequisite: Approval of instructor, chair and associate dean required. Independent study in Mathematics.
|
X
|
N/A
|
MATH
|
6131
|
Intro To Algbr Topolgy & Geom
|
Prerequisite: MATH 4133 or equivalent. An introduction to topics in algebraic topology; manifold theory and their applications.
|
Offered
|
N/A
|
MATH
|
6739
|
Internship In Mathematics
|
Supervised internship in Mathematics or Mathematics Education. Requires approval of faculty adviser and associate dean.
|
X
|
N/A
|
MATH
|
6837
|
Research Project I
|
Student will develop and complete a research project which requires integrating knowledge and standard procedures in the discipline. A written paper and presentation will be required.
|
Offered
|
N/A
|
MATH
|
6838
|
Research Project II
|
Student will complete research project developed in MATH 6837. A written paper and presentation will be required.
|
Offered
|
N/A
|
MATH
|
6939
|
Master's Thesis Research
|
Prerequisite: Approval of faculty adviser, master's committee and dean.
|
X
|
N/A
|