A first course in calculus and analytic geometry. Differentiation and integration of algebraic and transcendental functions of one variable, with applications. Topics include limits, continuity, differentiation, integration, the mean value theorem, and the fundamental theorem of calculus.

A second course in calculus and analytic geometry. Techniques and applications of integration. Polar coordinates, infinite series, solid geometry, vectors, lines and planes.

Prerequisites:MATH 211

A third course in calculus and analytic geometry. Three dimensional space and calculus of several variables, including partial differentiation and multiple integrals. Introduction to vector analysis.

Prerequisites:MATH 212

Addresses discrete structures including sets, relations, functions, matrices, graphs and trees. Symbolic logic, mathematical induction, and introduction to proofs. Probability, combinations, permutations. Introduction to linear programming.

Addresses systems of linear equations, linear transformations, and matrices, determinants, eigenvectors and eigenvalues. Euclidean spaces and vector spaces.

Addresses plane and solid Euclidean geometry, the axiomatic method, proofs and applications. Introduction to non-Euclidean hyperbolic and elliptic geometries, inversive, and projective geometries, and topology.

Addresses descriptive and inferential statistics, probability theory and distributions, mathematical expectation and decision-making, hypothesis testing, and point and interval estimation.

Addresses sets, systems and properties of numbers: prime, integer, rational, irrational, real, and complex. Representation of numbers. Divisibility, congruence, modular arithmetic, and elementary number theory.

An introduction to real analysis: algebraic and topological structure of the real number system, completeness, theory of sequences, limits of functions, continuity, differentiability, sequences and series of functions, and uniform convergence.

Prerequisites:MATH 213

Capstone course for the major in mathematics. Major events in the development of mathematics from ancient times through the twentieth century. The mathematics of early civilizations, Greece, non-western civilizations, the Middle Ages, and modern mathematics. Discovery of incommensurability, the origins of the axiomatic method, trigonometry, solution of equations, calculation of areas and volumes, analytic geometry, probability, and calculus. Mathematical content emphasized.

Prerequisites:Senior status

Study of several different fields of mathematics and their applications for liberal arts students. Through the process of discovery with everyday applications, students consider the beauty and elegance of mathematics as they improve their critical thinking and analysis skills. Topics include set theory, inductive and deductive reasoning, basic probability and statistics, number theory, algebraic modeling, basic geometry and trigonometry, and finance applications.

Study of linear equations, systems of equations, inequalities, polynomials, rational expressions, quadratic functions, exponential and logarithmic functions, and conic sections. Emphasis on understanding and applying concepts in real-life settings.

Introductory study of basic descriptive and inferential statistics with an emphasis on real-world applications and the use of current technology. Topics include sampling, random variables, probability distributions, measures of central tendency and variation, and testing of hypotheses.

Addresses systems of linear equations, linear transformations, and matrices, determinants, eigenvectors and eigenvalues. Euclidean spaces and vector spaces. Logic and methods of proof. Sets, relations, and functions. Brief introduction to group, ring and field theory. Properties of formal systems. Cannot be applied to the major in mathematics.

Addresses random walks, Markov chains in discrete and continuous time, Poisson processes, birth-and-death processes, branching processes, renewal and reward processes, Brownian motion, martingales. Applications to queuing, inventory, and finance.

Prerequisites:MATH 301

Addresses first and second order differential equations. Linear systems of differential equations. Fourier series and applications to partial differential equations. Laplace transforms. Introduction to stability, nonlinear systems, and numerical methods.

Addresses fundamentals of linear programs. Linear inequalities and convex sets. Simplex method, duality; minimax theorem, algorithms for assignment, transport and flow. Integer programming. Two-person and matrix games, strategies, equilibrium points, coalitions.

Addresses classical and modern topics involving numerical methods and discrete mathematics, both theory and application. Symmetric linear equations, Fourier series and Laplace's equation, initial value problems, design and stability of difference methods, conjugate gradients, combinational optimization and network flows.

Addresses error analysis, interpolation, and spline approximation. Numerical differentiation and integration. Solutions of linear systems, nonlinear equations, and ordinary differential equations.

Prerequisites:MATH 320

Addresses axiomatic construction of the real number system: sequences, metric spaces, topology of the real line, continuity, completeness, connectedness and compactness, convergence and uniform convergence of functions, Riemann integration, n-dimensional space, Lebesgue theory of measure and integration on the line, Fourier series.

Addresses logic and methods of proof. Sets, relations, and functions. Elementary group theory: subgroups and quotient groups, including permutation groups and linear groups; the Sylow theorems. Ring theory: ideals, fields of quotients, congruences, Fermat's theorem. Properties of formal systems. Applications to coding theory.

Prerequisites:MATH 230

Addresses quantitative decision problems including decision theory. Allocation of limited resources with uncertainty. Modeling of linear and integer programming, decision trees, network flow problems, graph algorithms, transportation planning, and inventory theory. Problem formulation, simplex methods, and sensitivity analysis. Bayesian networks, reliability, and maintenance.

Prerequisites:MATH 330