099 - Basic Math TutorialA two hour per week, non-credit guided tutorial for students who do not score Level 2 or higher on the Quantitative Reasoning Test.
110 - Mathematical ApplicationsApplications of elementary mathematics in the fields of management, social sciences, information sciences, statistics, physical and life sciences, and economics. Mathematical topics may include graph theory, linear programming, statistics, probability, voting systems, fair division, game theory, apportionment methods, coding methods, cryptography, logic, problems of scale, symmetry, patterns, tilings, exponential models and other growth models in finance, business, and biology, and astronomical models. Prerequisite: Level 2 or higher on the Quantitative Reasoning Test.
111 - A Survey of MathematicsA conceptual and historical overview of mathematics. A survey of selected topics such as: what mathematics is; numeration; elementary number theory; math and music; geometry and art; loans and payment plans; numbers, equations, and graphs; counting and probability; statistics; and geometric modeling. Intended for non-science majors. Prerequisite: Level 2 or higher on the Quantitative Reasoning Test.
143 - PrecalculusInvestigates properties of functions, techniques for solving equations and inequalities and graphing. Emphasizes polynomial, rational, algebraic, exponential, logarithmic, and circular functions as well as conic sections. Prerequisite: MATH 110, MATH 111, or Level 4 on the Quantitative Reasoning Test.
164 - Introduction to StatisticsDescriptive statistics including measures of central tendency, measures of dispersion, correlation and regression; basic concepts of probability; inferential statistics including estimation and hypothesis testing. Applications in biological and social sciences. Prerequisite: MATH 110, MATH 111, or Level 2 on the Quantitative Reasoning Test.
181 - Calculus IFirst semester of single-variable calculus. Includes a review of properties of elementary functions, limits, derivatives, applications of derivatives, continuity, the definite integral, basic antiderivative formulas, the Mean Value Theorem, and the Fundamental Theorem of Calculus. Prerequisite: MATH 143.
182 - Calculus IISecond semester of single-variable calculus. Includes a review of Calculus I, techniques of integration, applications of the definite integral, an introduction to differential equations, parametric equations, polar coordinates, and the theory of infinite sequences and series, including tests for convergence and Taylor Series. Prerequisite: MATH 181.
182C - Calculus II
200 - Foundations of NumberA study of the language, history, and structure of our number system; an in-depth look at arithmetic algorithms; introduction to problem-solving techniques; elementary data analysis. Intended for elementary education majors. (A student may receive credit for only one of the courses MATH 200 or MATH 203.) Prerequisite: MATH 110, MATH 111, or Level 4 on the Quantitative Reasoning Test.
201 - Geometry for TeachersA study of the language, history, and facts of plane and solid geometry; measurement facts and applications; basic constructions, transformations, and similarity; tessellations, regular polyhedral and fractals; introduction to coordinate geometry. Intended for elementary education majors. (A student may receive credit for only one of the courses MATH 201 or MATH 203.) Prerequisite: MATH 110, MATH 111, or Level 4 on the Quantitative Reasoning Test.
211 - History of MathematicsA concise history of mathematics. Includes topics from mathematics in early civilizations, Greek mathematics from classical, first Alexandrian, and second Alexandrian periods, Hindu and Arabic contributions, European Renaissance, the calculus controversy, non-Euclidean geometry, the rise of analysis, Godel's Incompleteness Theorem, and the loss of certainty. Prerequisite: MATH 181 or taken concurrently.
220 - Mathematical ProofsInvestigates the nature and structure of mathematical proofs found in calculus, algebra, and geometry. Includes set theoretic foundations, the rules of propositional logic, the principle of mathematical induction, and the nature of deductive reasoning. Analyzes various proofs from geometry, algebra, and calculus as well as provides students with practice in constructing such proofs. Prerequisite: MATH 182.
261 - Discrete MathNature of proof, sets, graph theory, logic, Boolean algebra, functions and relations. Prerequisite: MATH 143.
273 - Linear AlgebraVector spaces, vector and matrix operations, determinants, linear transformations, systems of linear equations, change of basis, eigenvalues. Prerequisite: MATH 181.
283 - Multivariable CalculusIncludes vector algebra and coordinate geometry in two and three dimensions, partial differentiation, directional derivatives, slope fields, multiple integration and applications, line and surface integrals, Lagrange multipliers, vector calculus including Green's, Divergence, and Stokes' theorems. Prerequisite: MATH 182.
304 - Synthetic GeometryAn axiomatic development of Euclidean geometry using Hilbert's axioms; hyperbolic geometry and its models; a comparison of Euclidean, spherical, and hyperbolic trigonometries; may include an introduction to projective geometry. Prerequisite: MATH 273.
320 - Elementary Number TheoryDivisibility theory of integers, primes and their distribution, theory of congruences, Fermat's "Little Theorem," Euler's phi function, quadratic reciprocity, perfect numbers and Mersenne primes, Fermat's "Last Theorem." Prerequisite: MATH 220.
355 - Applied Advanced CalculusIntroduction to vector analysis: vector differential calculus, integral theorems, curvilinear coordinates. Fourier analysis: Fourier series and integrals, orthogonal functions, applications in boundary value problems. Offered every other year. Prerequisite: MATH 283.
360 - Numerical AnalysisTheory and techniques for obtaining numerical solutions. Numerical methods are implemented by using computers. Topics include root-finding, interpolation, approximation of functions, numerical integration, differential and difference equation, applications in linear algebra, and error analysis. Offered every other year. Prerequisites: MATH 273 and MATH 283.
364 - Mathematical StatisticsProbability, random variables, probability distributions, mathematical expectation, moments, moment generating functions, sampling distributions, Central Limit Theorem, estimation and hypothesis testing, correlation, curvilinear and multiple regression. Prerequisite: MATH 283.
374 - Algebraic StructuresGroup theory, Boolean algebra, rings, integral domains and fields. Offered every other year. Prerequisite: MATH 273.
380 - Differential EquationsLinear differential equations, Laplace transform methods, series solutions, numerical solutions, introduction to partial differential equation, applications. Offered every other year. Prerequisite: MATH 182.
415 - Senior CapstoneSynthesizes and extends material from courses in the major using topics such as integration, linearity, optimization, periodicity, and expansions. Open only to mathematics majors.
421 - Math SeminarA seminar in selected topics in mathematics. The contents will vary, and the title will be extended to describe the current topic. May be taken more than once provided the topics differ.
431 - Complex VariablesAnalytical functions, Cauchy's theorem, Taylor and Laurent series, residues, contour integration, integral transforms, conformal mapping. Prerequisite: MATH 283.
432 - Real AnalysisFormal development of the concepts of real analysis. Includes limits and continuity, sequence and series, uniform convergence, Riemann integral. Prerequisite: MATH 283.