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Mathematics

 

 

Courses

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MATH 099. Developmental Mathematics, 1-2 credits
Online developmental course to prepare students for college-level mathematics courses. Topics include algebraic operations, expressions, and equations; factoring; graphing and solving linear equations. Students will develop mastery of the course outcomes by solving exercises on an adaptive, online learning system. MATH 099 is a Pass/Fail course and the credit hours do not count towards the 120-hour requirement.
Placement: ACT Math score of 21 or less

MATH 131. Thinking Mathematically, 3 credits
This course is a survey of topics in applied mathematics stressing the connections between contemporary mathematics and modern society. Topics include critical thinking, financial management, statistical reasoning, probability, math in politics, and math in art. This course meets the general education requirement in mathematics.
Prerequisite: MATH 099 or ACT Math score of at least 22

MATH 171. Elementary Functions, 3 credits
Study of algebraic, exponential, logarithmic, and trigonometric functions; their graphs, properties, and applications. Graphing calculator strongly recommended.
Prerequisite: MATH 099 or ACT Math score of at least 22

MATH 191. Calculus & Analytic Geometry I, 4 credits
Review of algebra and functions of a single variable; limits, continuity, differentiability, and integrability. Applications of limits, derivatives, differentials and integrals to solutions of physical and social problems.
Prerequisite: MATH 171 or ACT Math score of at least 28

MATH 192. Calculus & Analytic Geometry II, 4 credits
Techniques of integration; polar coordinates; sequences and series. Modeling with differential equations. Introduction to partial differentiation and multiple integration.
Prerequisite: MATH 192 or score of 3 or higher on the AP Calculus AB Exam

MATH 210. Theory of Arithmetic, 3 credits
Limited to candidates for elementary teaching licensure or certificate. Topics include problem solving strategies, sets and elementary number theory and number systems, probability and statistics, informal geometry and measurement.
Prerequisite: MATH 099 or ACT Math score of at least 22

MATH 211. Mathematics Concepts for Teachers, 3 credits
The course gives prospective elementary school teachers insights into the application of mathematical reasoning, critical thinking skills, and topics related to mathematical content standards -- algebra, geometry, measurement, and data analysis and probability. This includes the process standards of problem solving, reasoning and proof, connections, communication and representation within each content standard identified in "Principles and Standards for School Mathematics" (NCTM, 2000).
Prerequisite: MATH 210; EDUC 284; admission to Teacher Education Program

MATH 220. Introduction to Logic & Proof, 3 credits, Writing Intensive
Introduction to Logic and Proof is designed to help students develop skills in reading and understanding elementary mathematical proofs, and in expressing their own mathematical ideas through formal writing. Emphasis will be on precision and style. Math topics include: Logical connectives and quantifiers; types of proof; elementary set theory; functions; integers and induction; equivalence relations; modular arithmetic; matrices.
Prerequisite: MATH 171 or ACT Math score of at least 28

MATH/CSCI 281. Discrete Structures, 3 credits
Introduction to discrete mathematics as it is used in computer science.  Topics include propositional and the predicate logic, simple circuit logic, elementary number theory, sequences and summations, methods of proof (direct, by contradiction, by contraposition, by induction), set theory, graph theory, combinatorics, and discrete probability.

MATH 290. Elementary Linear Algebra, 3 credits
Matrices and systems of linear equations. Determinants. Lines and planes in three-space. Vector spaces and linear transformations. Characteristic equations, eigenvalues and eigenvectors. Diagonalization
Prerequisite: MATH 191 or a score of 3 or higher on the AP Calculus AB Exam

MATH 291. Calculus & Analytic Geometry III, 4 credits
Limits and continuity of functions of several variables, partial derivatives, directional derivatives, multiple integration, vectors, planes and and vector fields. Green's Theorem
Prerequisite: MATH 192 or a score of 3 or higher on the AP Calculus BC Exam

MATH/STAT 300. Modern Probability & Statistics, 3 credits
A Calculus-based introduction to probability and the application of mathematical principles to the collection, analysis, and presentation of data. Modern probability concepts, discrete/continuous models, and applications; estimation and statistical inference through modern parametric, nonparametric, and simulation/randomization methods; maximum likelihood; Bayesian methods. This course prepares students for the preliminary P/1 exam of the Society of Actuaries (SOA) and Casualty Actuarial Society (CAS).
Prerequisite: MATH 191

MATH/STAT 301. Statistical Modeling, 3 credits
The development, application, and evaluation of statistical models to analyze data for decision-making. Univariate and multivariate general linear models (ANOVA, ANCOVA, MANOVA, linear regression), generalized linear models (logistic and Poisson regression), and nonlinear models. The course focuses on experimental design and model estimation (including robust and randomization-based methods), fit, and interpretation. Students are also introduced to multivariate techniques, including multidimensional scaling, principal components analysis, cluster analysis, and structural equation modeling.
Prerequisite: A previous statistics course, such as MATH 300 or STAT 213, that introduces statistical inference.

MATH/STAT 305. Modern Data Analysis, 3 credits
Case study approach to topics in the statistical analysis of data. Collecting, coding, validating data; exploratory data analysis; effective quantitative displays; survey/experimental design and sampling; power and error rates; measurement theory; multivariate statistical methods; data mining techniques.
Prerequisite: MATH 300 or STAT 213 or another statistics course

MATH 320. Ordinary Differential Equations, 3 credits
First-order ordinary differential equations, linear second order and higher differential equations, series solutions, systems of differential equations and their applications, matrix methods for linear systems, existence and uniqueness theorems.
Prerequisite: MATH 290

MATH 340. Secondary Math Methods, 3 credits
Limited to secondary teaching certificate candidates. Current issues, approaches, and materials in school mathematics teaching, including philosophy and objectives, curricula, local/state/national standards, evaluation of current research. Students are required to complete a field component of 25 class contact hours. A minimum of two field components (80 hours) is required after field experience and before student teaching.
Prerequisite: MATH 192; EDUC 205, 284, 309

MATH 360. Modern Geometry, 3 credits
Euclidean and non-Euclidean systems. Axiomatic approach.
Prerequisite: MATH 220

MATH 370. Real Analysis I, 3 credits
Basic elements of real analysis for students of mathematics. Topics include limits of functions, continuity, and metric spaces.
Prerequisite: MATH 192, 220, 290

MATH 380. Abstract Algebra I, 3 credits, Writing Intensive
Definitions and basic properties of groups. Homomorphisms, normal subgroups, quotient groups and direct products. Rings, integral domains and fields. Ideals, quotient rings and polynomials
Prerequisite: MATH 220 or 290 or Departmental approval

MATH 390. Mathematical Programming, 3 credits
The use of mathematical applications and markup languages
Prerequisite: Departmental approval

MATH 400. Topics in Mathematics, 1-3 credits
Prerequisite: Departmental Approval