MATH COURSES

Math 101 Mathematical Ideas (3) Explores a variety of topics, including numeration systems, logic, geometry, probability, and statistics. Includes historical and cultural perspective and contemporary applications.  Background should include two semesters of high school algebra.  Fall, spring.

Math 105 College Algebra (3) Treats properties of linear, quadratic, polynomial, exponential and logarithmic functions, inequalities, and systems of equations.  Develops critical thinking and emphasizes real-world applications in the sciences and topical issues.  Background should include three semesters of high school algebra. Fall, spring.

Math 134 Survey of Calculus (3) Treats polynomial, exponential, and logarithmic functions, their derivatives and integrals.  An introduction to the calculus of several variables and applications to the natural and social sciences.  Recommended for students who plan to take only one semester of calculus not requiring trigonometry. Not open to mathematics majors or minors. Background should include four semesters of high school algebra and two semesters of geometry.  Prerequisite: Grade of C or better in Mathematics 105 or an acceptable score on a placement exam. Does not satisfy the prerequisite for Mathematics 222. Credit not given for more than one of Mathematics 134, 211 or 221. Fall, spring.

Math 191 Special Topics in Finite Mathematics (1-3) Study of topics of special interest in finite (non-calculus based) mathematics.  Treats material that is not covered in other courses. Topics will be announced. May be repeated. Background should include two semesters of high school algebra.

Math 202 Mathematics for Elementary Teachers (3) Treats problem solving, the real number system, elementary number theory, geometric topics, and others. For elementary education majors only. Prerequisite: Mathematics 101. Spring.

Math 211 Calculus I with Precalculus Review (5) Covers limits and continuity, differentiation, applications of differentiation, and integration. Review of precalculus topics integrated with calculus content. Background should include eight semesters of high school mathematics, including four semesters of algebra, two semesters of geometry, and at least 12 weeks of trigonometry. Prerequisite: Grade of C or better in Mathematics 105 or an acceptable score on a placement exam. Credit not given for more than one of Mathematics 134, 211 or 221. Fall, spring.

Math 221 Calculus I (4) Covers analytic geometry; limits and continuity; differentiation and integration of algebraic, trigonometric, logarithmic, and exponential functions; and applications of differentiation. Background should include eight semesters of high school mathematics, including four semesters of algebra, two semesters of geometry, and at least 12 weeks of trigonometry. Prerequisite: Grade of C or better in Mathematics 105 and permission of the Department of Mathematics, or an acceptable score on a placement exam. Credit not given for more than one of Mathematics 134, 211 or 221. Fall.

Math 222 Calculus II (4) Covers applications of integration; integration techniques, infinite series, conic sections, parametric and polar equations and an introduction to differential equations. Prerequisite: Grade of C- or better in Mathematics 211 or 221. Fall, spring.

Math 291 Special Topics in Calculus (1-3) Study of aspects or applications of calculus not covered in the standard calculus sequences. Topics will be announced. May be repeated. Prerequisite: Mathematics 211 or 221.

Math 310 History of Mathematics (3) Surveys the development of mathematics from the Ishango Bone to Newton and Leibniz. Emphasizes major mathematical concepts, the cultural contexts in which they were discovered and the solving of related mathematical problems. Prerequisite: Mathematics 211 or 221. Spring 2010.

Math 323 Calculus III (4) Covers vectors and analytic geometry in space, vector-valued functions, functions of several variables and their derivatives, multiple integration, line and surface integrals, and analysis of vector fields. Prerequisite: Grade of C- or better in Mathematics 222. Fall, spring.

Math 324 Differential Equations (3) Includes standard first and second order methods, systems, difference equations, power series, Laplace transforms, and numerical and nonlinear methods, with applications for all of these. Prerequisite: Mathematics 323. Fall, spring.

Math 330 Theory of Interest (3) Covers compound interest formulas, annuities, perpetuities, amortization schedules, bonds, and other securities. Provides preparation for the Society of Actuaries Exam FM. Prerequisite: Mathematics 222. Fall 2009.

Math 341 Linear Algebra (3) Covers systems of linear equations, matrices, determinants, vector spaces, linear transformations, and eigenvalues and eigenvectors. Prerequisite: Mathematics 323. Spring.

Math 355 Foundations of Geometry (3) Develops from axioms various notions, including point, line, incidence, betweeness, congruence, parallelism, perpendicularity, distance, similarity, and perspective. Geometries include finite, Euclidean and hyperbolic, with emphasis on Euclidean constructions, proofs, transformations and dynamic geometry using computer software.  Prerequisite: Mathematics 211 or 221. Fall 2009.

Math 365 Probability (3) Develops standard topics in calculus-based axiomatic probability theory and applications, including permutations, combinations, sample spaces, events, random variable, independence, conditional probability, distributions, density functions, expected value, and moment generating functions. Prerequisite: Mathematics 222. Fall

Math 370 Discrete and Combinatorial Mathematics (3) Covers such topics as enumeration, principles of logic, set theory, mathematical induction, generating functions, recurrence relations, and graph theory. Prerequisite: Mathematics 134 or 211 or 221. Fall, spring.

Math 373 Numerical Methods (3) Covers numerical computer-based methods for solving transcendental equations, systems of linear equations, interpolation, approximation, numerical integration and differentiation, and numerical solutions of ordinary differential equations. Prerequisites: Mathematics 222 and Engineering 122 or Computer Science 210 or equivalent. Spring 2009.

Math 391 Special Topics in Intermediate Mathematics (1-3) Covers topics not included in other courses, to give greater depth in certain areas and to explore current mathematics topics. Topics vary; may include foundations and set theory, graph theory, and number theory. May be repeated. Prerequisite: Mathematics 222; any additional prerequisites will be announced when scheduled.

Math 420 Advanced Calculus (3) Provides more formal treatment of topics in elementary calculus, including limits, continuity, differentiability, integrability, and infinite series, with emphasis on precise definitions and proofs of theorems. Prerequisite: Mathematics 323. Spring 2009.

Math 425 Complex Variables (3) Introduction to complex numbers and the calculus of functions of a complex variable. Topics include the algebra and geometry of complex numbers, limits and derivatives of functions of a complex variable, contour integrals, Taylor and Laurent series, and residues. Prerequisite: Mathematics 323.

Math 431 Theory of Life Contingencies (3) Covers the theory and application of contingency mathematics in the areas of life and health insurance, annuities and pensions, using both stochastic and deterministic approaches. Includes material covered on the Society of Actuaries Exam M. Prerequisite: Mathematics 330, 365. Spring 2010.

Math 445 Abstract Algebra (3) Introduces algebraic structures and their applications. Covers set theory, number theory, modular arithmetic, groups, rings and fields. Prerequisite: Mathematics 341. Fall 2008.

Math 466 Statistics (3) Develops standard topics in mathematical statistics, including sample distributions, estimation, hypothesis testing, analysis of variance, regression, and correlation. Prerequisite: Mathematics 365. Spring.

Math 490 Seminar/Workshop/Independent Study in Mathematics (1-3) Seminar/workshop topics will be announced when scheduled. Independent study topics are to be selected by students in consultation with the mathematics professor who supervises the work. Prerequisite: Permission of instructor.

Math 491 Special Topics in Advanced Mathematics (1-3) In-depth exploration of a topic not covered in other courses as preparation for graduate level mathematics. Topics vary, but may include algebraic topology, analytical number theory, coding theory, differential geometry, functional analysis, lie theory, partial differential equations, real analysis, ring theory, and topology. May be repeated. Prerequisites: Mathematics 323; any additional prerequisites will be announced when scheduled.

Math 495 Senior Seminar: Mathematical Modeling (3) Focuses on the formulation, analysis and interpretation of mathematical models related to contemporary problems drawn from the natural sciences, social sciences and management science. Involves team projects and a seminar format. Prerequisites: Senior standing, Mathematics 222, at least one computer programming class. Fall.

Math 499 Internship in Mathematics (1-6) A structured assignment which allows the student to gain practical experience in a mathematics-related field relating to a career interest. The student is directed buy a faculty member of the Department of Mathematics and supervised by a member of the cooperating organization. Prerequisite: Permission of the Department of Mathematics.