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Bachelor of Science in Mathematics Courses

Course Descriptions

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MATH 212
Calculus II
Math Core
3

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

MATH 213
Calculus III
Math Core
3

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

MATH 230
Linear Algebra
Math Core
3

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

MATH 231
Linear and Abstract Algebra
Math Elective
3

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.

MATH 300
Geometry
Math Core
3

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.

MATH 301
Probability and Statistics
Math Core
3

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

MATH 310
Number Theory
Math Core
3

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.

MATH 311
Advanced Calculus
Math Core
3

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

MATH 316
Stochastic Processes
Math Elective
3

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

MATH 320
Differential Equations
Math Elective
3

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.

MATH 330
Linear Programming and Game Theory
Math Elective
3

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.

MATH 380
Applied Mathematics
Math Elective
3

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.

MATH 410
Numerical Methods
Math Elective
3

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

Prerequisites: MATH 320

MATH 420
Real Analysis
Math Elective
3

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.

MATH 430
Abstract Algebra
Math Elective
3

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

MATH 440
History of Mathematics
Math Core
3

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

MATH 480
Introduction to Operations Research
Math Elective
3

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

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