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 and non-Euclidean geometry, particularly geometry on a sphere. Students in this course deepen their understanding of geometry and the nature of geometric proof through discussion, discovery, and writing. Offered 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.

MATH 504 (1)
Math/Inq:Patterns,Funct,Alg