Numeration, number systems, geometry and other topics addressed in the elementary school curriculum. Required for students majoring in elementary education.
This course uses real-world problems and situations to improve students' problem-solving skills, to improve their ability to apply mathematics, and to enhance their appreciation of the importance of mathematics in our modern world. Topics will be chosen from voting theory, number theory, taxicab geometry, graph theory, probability, statistics, and financial mathematics. This course can be used to fulfill the math exploration requirement.
A study of the function concept and properties of the polynomial, exponential, logarithmic and trigonometric functions. Prerequisites: high school geometry and higher algebra
An introduction to the concepts of limits, continuity, derivatives and antiderivatives and their applications, and an introduction to the Riemann integral and integration techniques, including by substitution. Some review of trigonometry and analytic geometry is included.
Applications of the definite integral, techniques of integration, parametric equations, introduction to differential equations, sequences, series and Taylor and Maclaurin Series.
The course examines combinatorics, probability, descriptive and inferential statistics, linear programming, and mathematics of finance. Prerequisite: high school higher algebra
This is an introductory course in statistical methods for science and mathematics students. The object of this course is to provide students with a conceptual introduction to the field of statistics, including the determination of the appropriate procedures for data analysis and the proper interpretation of results. Statistical significance and confidence intervals will be explored, along with statistical modeling through regression, ANOVA, and chi-squared techniques. The theory will be illustrated by examples from the life, health, and social sciences. Prerequisite: high school higher algebra. This course can also count toward the environmental and sustainability studies program.
Logic, sets, functions, sequences and series, matrices, algorithms, methods of proof, combinatorics, recurrence relations, linear programming, graphs and trees. A previous mathematics class at or above MATH 110 - Precalculus (or the equivalent) is highly recommended.
Vectors, matrix algebra, systems of linear equations, determinants, vector spaces, span and basis, eigenvalues and eigenvectors. Also includes an introduction to proof.
Basic concepts of data analysis, randomness and uncertainty required for elementary mathematics specialization. Topics include: data collection, exploratory data analysis, measures of central tendency and spread, theoretical probabilities in simple and compound events, basics of experimental design, and evaluating predictions and arguments from data.
Basic geometry content for students seeking elementary mathematics specialization. Topics will include: deriving and describing shapes, characteristics of geometric objects, spatial reasoning with geometric models, elementary geometric transformations, analysis and presentation of geometric arguments, and measurement and estimation.
Multivariable calculus and applications, line integrals, surface integrals. Green's Theorem, Stoke's Theorem and the Divergence Theorem.
An introduction to the art and science of mathematics, the axiomatic system that forms its foundation, the historical factors that have influenced its development, its close ties to astronomy, the sciences, art and religion; and its role in the development of Western culture.
Differential equations and models, analytic and qualitative solutions, nth-order equations, linear systems, harmonic oscillators, Laplace transforms, initial and boundary value problems, bifurcation.
An introduction to Fourier and other methods for solving partial differential equations, including the heat, wave and potential equations and related boundary value problems.
Introduction to the basic concepts in probability theory, including discrete and continuous probability functions, independence, random variables, order statistics, expected value, variance and moment generating functions. Specific attention given to normal, Poisson and geometric distributions, as well as estimation and estimators.
An introduction to the construction and analysis of least-squares models, including multiple regression, ANOVA, ANCOVA, and mixed models. Generalized linear models will also be presented, with special attention paid to logistic regression and log-linear models. Examples and applications will be drawn from various disciplines, including biology, medicine, economics, engineering, and the social sciences.
Euclidean, non-Euclidean, projective and other geometries as time permits.
Introduction to basic algebraic systems: groups, rings, integral domains and fields. Special attention is given to the ring of integers.
The algebra and geometry of complex numbers, elementary analytic functions, complex functions defined by power series, differentiation and integration of complex functions with selected applications.
A proof-based course that covers-sets, real numbers, sequences and convergence, limits of functions, continuity and differentiability, the Riemann integral, infinite series, and sequences and series of functions.
An introduction to the theory and practice of quantitative modeling and optimization, with applications to computer simulation and business resource management. Possible topics include linear and nonlinear programming, network analysis, game theory, deterministic and probabilistic models.
Courses covering various topics of interest in this particular discipline are offered regularly. Contact department or program chair for more information.
Required of all senior Group 2 mathematics majors (mathematics and education double majors seeking reaching licensure). Topics in mathematics history are discussed using the seminar format. With the guidance of faculty members, each student researches a topic and delivers an oral presentation on that topic. Prerequisite: senior standing in both mathematics and education, or permission of instructor.
Further study of the basic algebraic systems introduced in MATH 325 - Modern Algebra I.
Further study of topics listed under MATH 330 - Real Analysis I.
This course provides an opportunity for individual students to conduct in-depth study of a particular topic under the supervision of a faculty member. A seminar on non-routine problems sometimes is conducted. Prerequisite: Consent of faculty. Contact the department or program chair for more information.
This course provides an opportunity for individual students to conduct research in a specific area of study, completed under the direction of a faculty mentor. Specific expectations of the research experience to be determined by the faculty. Repeatable for credit. Prerequisite: consent of instructor.