Departmental Courses: Mathematics
MATH 106 (3) Statistical Reasoning An introduction to concepts and methods of data analysis. Graphical and numerical description of data. Normal distributions, confidence intervals, significance tests, correlation and linear regression. Use of statistical reasoning in such areas as opinion polling, government surveys, health risk assessment and behavioral research. IIIQ MATH 113 (3) Precalculus A study of the polynomial, absolute value, logarithmic, exponential and trigonometric functions and their graphs. IIIQ MATH 123 (4) Calculus I Limits, differentiation and integration of polynomials and trigonometric functions. Applications of calculus including graphing, related rates and max-min problems. This course includes a three hour laboratory session. IIIQ MATH 124 (4) Calculus II Applications of calculus to area and volume problems, the exponential and logarithm functions, techniques of integration and sequences and series of real numbers. IIIQ MATH 205 (3) Applied Statistics An introduction to data analysis and statistics. Descriptive statistics, random variables and their distributions, independence, sampling distributions, confidence intervals, hypothesis testing and linear regression. Applications in science, social sciences and economics. IIIQ MATH 211 (3) Fundamental Mathematics I A course for prospective elementary teachers covering the methods of instruction of mathematics and emphasizing a hands-on approach. Topics include number systems, elementary number theory, ratio, proportion and percent. MATH 213 (3) Fundamental Mathematics II A course for prospective elementary teachers covering the methods of instruction of mathematics and emphasizing a hands-on approach. Topics include mathematical reasoning, geometry and probability and statistics. MATH 223 (3) Calculus III Topics in analytic geometry in two- and three-dimensional Euclidean space, functions of several variables, partial differentiation, gradients and multiple integration. IIIQ MATH 232 (3) Linear Algebra A study of linear systems, matrices and matrix algebra, determinants, vector spaces, and linear transformations; includes applications to Euclidean n-dimensional spaces as well as theory of abstract vector spaces. MATH 261 (1) Directed Study Study of an introductory level topic pursued under faculty direction. Content will vary according to needs of students. MATH 303 (3) Probability Permutations and combinations, discrete and continuous distributions of several random variables, independence and conditional probability, expectation, variance and Central Limit Theorem. Offered alternate years. MATH 304 (3) Mathematical Statistics Theory of statistical inference with applications: extimation, testing of hypotheses, linear regression and categorical data. Offered alternate years. MATH 306 (3) Applied Linear Regression and Time Series Models A study of linear statistical models. Multiple regression, selection of variables, residual analysis, and model building. MATH 310 (3) Modern Geometry Topics in Euclidean, projective and non-Euclidean geometries. Offeren alternate years. IIIO, III MATH 315 (3) Biostatistics Statistics with applications in the biological sciences. Topics include the Poisson distribution, bootstrap confidence intervals, match pairs tests, non-parametric tests, sample size and power, one-way and two-way analysis of variance, and logistic regression. Offered alternate years. MATH 323 (3) Sequences and Series A rigorous study of sequences and series of real numbers and functions, developed from the axioms of the real number system and elementary point set theory. MATH 328 (3) Ordinary Differential Equations Separation of variables, exact equations and first and second order linear equations. Solutions by power series and numerical methods and systems of equations. Applications to the physical and biological sciences. Offered alternate years. V8a MATH 333 (3) Algebraic Structures A rigorous study of abstract algebraic structures, focusing primarily on group theory. MATH 342 (3) Mathematical Modeling Mathematical models with application to the social, life and managerial sciences. Linear programming and one or more topics chosen from game theory, Markov chains, queuing models, networks and graph theory. Offered alternate years. MATH 346 (3) Numerical Analysis Topics chosen from the following numerical methods: computer calculations, approximation of functions, differentiation, integration, solution of ordinary differential equations and inversion of matrices. Offered alternate years. MATH 361 (1) Special Study Contents of this course will vary according to the interests of the students and instructor. Offered when desired by a sufficient number of students. MATH 377 (1) Internship MATH 424 (3) Advanced Calculus A rigorous development of the theory of calculus, including continiuty, differentiation and integration. Offer alternate years. IIIW MATH 434 (3) Topics in Abstract Algebra A rigorous study of abstract algebraic structures, including rings, integral domains, fields, and polynomial rings. Offered alternate years. IIIW MATH 445 (3) Complex Analysis Algebra of complex numbers, analytic functions, Cauchy- Riemann equations, Cauchy's theorem, Taylor and Laurent expansions and calculus of residues. Offered alternate years. MATH 452 (3) Senior Seminar This seminar is the departmental senior exercise, required of all mathematics majors. Under the direction of faculty mentors, students select and research topics in order to present them to the class. Historical topics comprise one focus of the course. This course is graded on a P/CR/NC grading option only. IIIO MATH 461 (1) Independent Study Special topics pursued by individual students under supervision. MATH 470 (3) Junior Honors Research MATH 472 (3) Senior Honors Thesis MATH 502 (1) Math/Inq:Numbers/Operations Through an intensive inquiry based process involving hands- on investigation and discussion, in-service teachers will increase their content knowledge and ability to apply inquiry-based methods of teaching mathematics with focus on grades 3-8. Topics covered include number and number sense and computation and estimation. MATH 503 (1) Math/Inq:Measurement Through an intensive inquiry based process involving hands-on investigation and discussion, in-service teachers will increase their content knowledge and ability to apply inquiry-based methods of teaching math with focus on grades 3-8. Topics covered include measurement and connecting measurement to the study and understanding of fractions. Questioning techniques as a focus for inquiry will be studied.
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