Description:  Selected topics from the mathematics of finance, social choice, the digital revolution, size and shape and management science. Mathematical methods are used to examine practical problems involving loans, identification numbers, voting, fair decisions, resource allocation and the visual arts.
Credits: 3

Description:  Explores major ideas and concepts of elementary mathematics from an advanced perspective, with an emphasis on mathematical reasoning and deep conceptual understanding. Topics include numeration systems, place value, operations in different bases; understanding of operations, methods of computing, and relationships between operations; using numbers in sensible ways, mental computation and estimation; understanding fractions, equivalent forms, relating fractions and decimals. Open to all majors; particularly useful to prospective elementary school teachers.
Credits: 3

Description:  Practical study of calculus techniques. Functions, limits, rate of change, derivatives, differentials. Applications to environmental and social sciences, economics and business.
Credits: 3

Description:  Anti-derivatives, definite integral, integration techniques for algebraic, exponential, and trigonometric functions. Applications to environmental and social sciences, economics and business.
Credits: 3
Prerequisites:  MATH 140

Description:  Polynomial, rational and algebraic functions; polynomial zeros and synthetic division; translation, symmetry and other graphing techniques; exponential and logarithmic functions; trigonometric ratios and circular functions; applications of trigonometric functions.
Credits: 3

Description:  Sets, logic, functions, equivalence and recurrence relations, countable and uncountable sets, mathematical induction, permutations and combinations, Boolean algebra.
Credits: 3
Prerequisites:  High school algebra.

Description:  Functions, limits, continuity; exponential, logarithmic, inverse trigonometric, and hyperbolic functions; derivatives and their applications.  Three hours lecture, two hours laboratory per week.
Credits: 3
Prerequisites:  High school algebra and trigonometry.

Description:  Integration techniques and applications; improper integrals; Taylor’s formula; infinite sequences and series.  Three hours lecture, two hours laboratory per week.
Credits: 3
Prerequisites: MATH 170 or permission of instructor.

Description:  Plane curves, parametric equations, polar coordinates; vectors in two and three dimensions; cylindrical and spherical coordinates; calculus of vector functions; partial derivatives, multiple integrals and applications, line and surface integrals, Green’s theorem, Stokes’ theorem.
Credits: 3
Prerequisites:  MATH180 or permission of instructor

Description:  Sample spaces and probability, Bayes’ theorem; random variables, probability distributions, Law of Large Numbers and the Central Limit Theorem, random processes, forecasting.
Credits: 3
Prerequisites:  MATH180 or permission of instructor

Description:  Sampling distributions, Normal, Chi-Square, T, and F distribution; survey sampling; maximum likelihood estimators; confidence intervals and hypothesis testing; linear and non-linear regression; analysis of variance.
Credits: 3
Prerequisites:  MATH251 or permission of instructor

Description:  Hamiltonian and Eulerian graphs, graph isomorphisms; tree applications: binary search trees, game trees, decision trees; PERT charts, critical paths, finite state machines and Turing machines.
Credits: 3
Prerequisites:  MATH 165

Description:  In-depth study of a mathematical topic of the student’s choice, conducted under the guidance of a faculty member. Offered by arrangement.
Credits: 1-3

Description:  Linear systems, vector spaces, linear transformations, matrices, determinants, characteristic polynomials and eigenvectors, linear programming and other applications.
Credits: 3
Prerequisites:  MATH 165 or MATH 170

Description:  Functions of a complex variable, including analytic functions, Canchy Integral formula, Taylor and Laurent series, poles and residues, conformal mapping.
Credits: 3
Prerequisites:  MATH 220 or permission of the instructor.

Description:  Groups, rings, integral domains, fields; homomorphism and isomorphism, factor groups, quotient fields, unique factorization, principal ideal domains. Euclidean domains, field extensions.
Credits: 3
Prerequisites:  MATH165, MATH320 (recommended) or permission of instructor.

Description:  Supervised internship experience in a business, industry or government setting.
Credits: 1-3
Prerequisites: Departmental arrangement and approval.

Description:  Advanced in-depth study of a mathematical topic of the student’s choice, conducted under the guidance of a faculty member. Offered by arrangement.
Credits: 1-3

Description:  A two-semester senior course provides an opportunity for students majoring in mathematics, mathematics with a concentration in computer science, and mathematics with a concentration in economics to engage in independent research on a topic of their choice. Each student, working under the guidance of a faculty mentor, writes a research paper and presents it in a departmental colloquium. Students also take a written comprehensive examination which integrates knowledge from various areas of mathematics.
Credits: 3
Prerequisites:  Senior status