Subject	Course Number	Long Course Title	Description
MATH	105	The Mathematical Experience	An introduction to the scope, power, and spirit of mathematics. Topics, chosen to convey the character of mathematical inquiry, may vary; they include euclidean and non-euclidean geometry, number theory, topology, graph theory, infinity, paradoxes, set theory, and logic. Intended for students with limited preparation in mathematics.
MATH	107	Elementary Statistics	For students in all disciplines. Provides the background needed to evaluate statistical arguments found in newspapers, magazines, reports, and journals and the logic and techniques necessary to perform responsible elementary statistical analysis. Students who have completed a calculus course should elect Mathematics 207 rather than Mathematics 107.
MATH	117	Elementary Statistics	For students in all disciplines. Provides background needed to evaluate statistical arguments found in newspapers, magazines, reports, and journals and the logic and techniques necessary to perform responsible elementary statistical analysis, including computer-aided data analysis. Winter Term laboratory component emphasizes analysis of social science data sets, and Spring Term laboratory component emphasizes analysis of natural science data sets. Students who have completed a calculus course should elect Mathematics 207 rather than Mathematics 107 or 117.
MATH	120	Applied Calculus I	An introduction to calculus that stresses applications to the life and social sciences. Topics include derivatives, integrals, optimization, and exponential and logarithmic functions. Mathematics 120 and 130 do not prepare students for more advanced courses.
MATH	130	Applied Calculus II	Differential and integral calculus in several variables, including optimization, partial derivatives, and multiple integrals. Also applications of integration and an introduction to differential equations. Stresses applications to the life and social sciences.
MATH	140	Calculus I	Functions, limits, derivatives, the Mean Value Theorem, definition and properties of integrals, the Fundamental Theorem of Calculus, and applications to related rates, curve sketching, and optimization problems. Placement exam not required.
MATH	150	Calculus II	Applications of integration, exponential and logarithmic functions, techniques of integration, infinite sequences and series, and Taylor series.
MATH	160	Calculus III	Functions of two or more variables, partial derivatives, chain rules, optimization, vectors, derivatives of vector-valued functions, Lagrange multipliers, multiple integrals, line integrals, and Green’s Theorem.
MATH	190	Tutorial Studies in Mathematics	Advanced work in mathematics on topics not covered in regular offerings.
MATH	199	Independent Study in Mathematics	Guided independent study of an advanced topic in undergraduate mathematics or supervised work on an undergraduate research project, generally culminating in a final presentation and/or paper.
MATH	207	Introduction to Probability and Statistics	A survey of statistical methods including their mathematical foundation and their implementations on a computer. Topics include descriptive statistics and graphs, simple linear regression, random variables and their distributions, conditional probability, independence, sampling distributions, the Central Limit Theorem, and parametric and nonparametric tests of hypotheses. Laboratory component emphasizes analysis of economic data sets.
MATH	210	Differential Equations with Linear Algebra	A study of differential equations and related techniques in linear algebra. Topics include first-order equations and their applications, existence and uniqueness of solutions, second-order linear equations and their applications, series solutions, systems of first-order equations, vector spaces and dimension, linear transformations, and eigenvalues.
MATH	217	Applied Statistical Methods	A second course in statistics that covers analyses needed to solve more complicated data-driven problems. Time permitting, topics include multiple regression, analysis of variance, nonparametric tests, bootstrap methods, permutation tests, and categorical data analysis. Computer lab component is used to investigate real data using statistical software.
MATH	220	Applied Combinatorics	An introduction to logic, proofs by mathematical induction, and elementary combinatorics. Additional topics include recurrence relations, generating functions, and the principle of inclusion-exclusion.
MATH	300	Foundations of Algebra	An introduction to the rigorous study of mathematics. Topics include elementary theory of sets and mappings, number theory, equivalence relations, finite groups, homomorphisms, quotient groups, and rings.
MATH	310	Foundations of Analysis	A study of the concepts that underlie mathematical analysis: the completeness of the real numbers, convergence, continuity, derivatives, integrals, infinite series, and, if time permits, an introduction to metric spaces or Fourier series.
MATH	390	Tutorial Studies in Mathematics	Advanced work in mathematics on topics not covered in regular offerings.
MATH	399	Independent Study in Mathematics	Guided independent study of an advanced topic in undergraduate mathematics or supervised work on an undergraduate research project, generally culminating in a final presentation and/or paper.
MATH	410	Linear Algebra	The study of finite and infinite dimensional vector spaces, and linear transformations between such spaces. Starting with n-dimensional Euclidean space, the focus will move toward greater abstraction. Topics include dimension, the fundamental spaces of linear transformations, spectral theory, and applications. Other topics could include normed, inner product, and function spaces.
MATH	420	Numerical Analysis	Computer approximated (numerical) solutions to a variety of problems with an emphasis on error analysis. Interpolation, evaluation of polynomials and series, solution of linear and non-linear equations, eigenvectors, quadrature (integration), and differential equations.
MATH	435	Optimization	The study of local and global maximums and minimums of function, given various sorts of constraints. Linear problems and the simplex algorithm, general non-linear problems and the Kuhn-Tucker conditions, convex problems. Perturbation of problem parameters and duality. Applications to a wide variety of fields, including economics, game theory, and operations research.
MATH	440	Probability Theory	The mathematics of chance: probability, discrete and continuous random variables and their distributions, moments, jointly distributed random variables, conditional distributions, the Central Limit Theorem, and weak and strong convergence.
MATH	445	Mathematical Statistics	The theory of probability applied to problems in statistics. Topics include sampling theory, point and interval estimation, tests of statistical hypotheses, regression, and analysis of variance. Computer lab component is used to analyze real-world case studies.
MATH	495	Teaching Seminar	A seminar on teaching mathematics intended for students seeking secondary certification. Practice with and advice on lecture, small group, and one-on-one situations. Outside readings on the philosophy and techniques of teaching mathematics, professional standards, curriculum issues, and resources.
MATH	525	Graph Theory	A survey of graph theory that balances the abstract theory of graphs with a wide variety of algorithms and applications to “real world” problems. Topics include trees, Euler tours and Hamilton cycles, matchings, colorings, directed graphs, and networks.
MATH	530	Topics in Geometry	The axiomatic development of euclidean and non-euclidean geometry, including the historical and philosophical issues raised by the “non-euclidean revolution.” Additional topics, such as projective or differential geometry and convexity, may be included.
MATH	535	Complex Analysis	An introduction to functions of a complex variable, the Cauchy-Riemann equations, conformal mappings, Cauchy’s theorem, Cauchy’s integral formula, Taylor and Laurent series, and a sampling, as time and interest permit, of the corollaries to Cauchy’s theorem.
MATH	540	Mathematical Logic and Set Theory	Establishes the basic syntactical tools needed to develop the semantics of first-order logic with equality, including the completeness and compactness theorems. Axiomatic set theory is developed culminating with the Axiom of Choice, some equivalents, and the Continuum Hypothesis.
MATH	545	Rings and Fields	Modern algebra with topics selected from group theory, ring theory, field theory, classical geometric construction problems, and Galois theory. Emphasis on the use of mathematical abstraction to illuminate underlying relationships and structure.
MATH	550	Topics in Analysis	Selected topics in analysis, generally chosen from multivariate analysis, Lebesgue measure and integration, Fourier analysis, calculus on manifolds, the qualitative properties of analytical models.
MATH	560	Topology	A study of metric and topological spaces, including continuity, compactness, connectedness, product and quotient spaces. Additional topics may include Zorn’s Lemma, separation properties, surfaces, the fundamental group, and fixed point theorems.
MATH	565	Number Theory	A study of the integers, including unique factorization, congruences, and quadratic reciprocity. Other topics may include finite fields, higher reciprocity laws, and algebraic number theory.
MATH	590	Tutorial Studies in Mathematics	Advanced work in mathematics on topics not covered in regular offerings.
MATH	599	Independent Study in Mathematics	Guided independent study of an advanced topic in undergraduate mathematics or supervised work on an undergraduate research project, generally culminating in a final presentation and/or paper.
MATH	600	History of Mathematics	A study of the history of mathematics from the ancient Greeks through the present, emphasizing the role of mathematics in scientific advances, the work of great mathematicians, and the modern branching of the subject into a multitude of specialties.
MATH	690	Tutorial Studies in Mathematics	Advanced work in mathematics on topics not covered in regular offerings.
MATH	699	Independent Study in Mathematics	Guided independent study of an advanced topic in undergraduate mathematics or supervised work on an undergraduate research project, generally culminating in a final presentation and/or paper.