Mathematics Complete Course List

MATH103 Topics in Finite Mathematics (Staff)

A selection of ideas and techniques appropriate for students who desire a general introduction to mathematics. Topics may include network theory, data analysis, geometry, symmetry, elementary number theory. Applications will be made to the social sciences. This course is not intended to prepare students to study calculus. S.

MATH105 Basic Probability and Statistics (Linder)

Organization and display of data; the meaning of probability, measures of dispersion, binomial and normal distribution, one and two sample methods, estimation and hypothesis testing, correlation and regression. The MINITAB statistical computing package is used to analyze data. Students may not count graduation credit for both MATH105 and PSYC210. This course cannot be taken after receiving credit for MATH110 or above. Proficiency credit for MATH110 or MATH111 may not be awarded after credit for MATH105. F, S.

MATH108 Precalculus Mathematics (Staff)

This course is designed for students who wish eventually to take calculus but have insufficient mathematical background. It is expected that these students will have studied Algebra 2 and Geometry in high school. The course will emphasize the techniques and thought processes which are important in calculus. Principal topics: functions, graphs, exponentials and logarithms, trigonometry, mathematical reasoning, and word problems. Use will be made of modern technology. Prerequisite: At least three years of high school mathematics, including two years of algebra and geometry. F.

MATH110 Calculus I (Staff)

A detailed treatment of the differential calculus and an introduction to the integral are presented. Symbolic algebra software is introduced and used. Applications to social, life, and physical sciences are included. Students wishing to major in Mathematics or Computing Science are urged to take this course in the fall of the freshman year. F.

MATH111 Calculus II (Staff)

Continuation of MATH110. A thorough treatment of integral calculus, including the Fundamental Theorem of calculus. Transcendental functions, followed by a study of techniques of integration, polar coordinates, and an introduction to infinite series. Computer symbolic algebra projects are included. Prerequisite: MATH110. F, S.

MATH210 Multivariable Calculus (Nunemacher)

Vectors, partial derivatives, multiple integrals, and an introduction to vector analysis. Computer symbolic algebra projects are included. Mathematics majors are advised to take MATH250 concurrently. Prerequisite: MATH111. F.

MATH250 Discrete Mathematics (Radloff)

An introduction to mathematical reasoning and to the kind of mathematics appropriate for the study of properties of (possibly large) finite systems. Topics include proof techniques, mathematical induction, elementary number theory, combinatorics, relations, and graph theory. Applications will be made to the construction of models useful in the social and physical sciences and to the study of algorithms in computer science. Prerequisite: MATH111. F.

MATH260 Applied Statistics (Linder)

Calculus based introductory course in statistics. Exploratory data analysis, questions of causation, probability, continuous and discrete random variables, distributions of sums of random variables, confidence intervals, significance tests, use and abuse of tests, one and two sample procedures, inferences in linear regression, and analysis of variance. Students may not count graduation credit for both MATH260 and MATH105 or both MATH260 and PSYC210. Prerequisite: MATH110. S.

MATH270 Linear Algebra (Radloff)

Matrix algebra, finite dimensional vector spaces, linear transformations, determinants, eigenvalues, and applications. Prerequisite: MATH210 or permission of instructor. Recommended: MATH250. S.

MATH280 Differential Equations (Schwartz)

Study of first and second-order equations, numerical methods, and first-order systems. Applications to problems in physical, life, and social sciences are emphasized. Computer software is used to support the study by providing enhanced symbolic, numerical, and graphing capability. Additional topics include certain prerequisites from linear algebra (as needed), and Laplace transforms. Prerequisite: MATH111. S.

MATH310 Mathematical Logic (Nunemacher)

A study of the foundations of mathematics and logical reasoning. Topics include propositional calculus, predicate calculus, properties of formal systems, completeness and compactness theorems, Goedel's Incompleteness Theorem, and axiomatic set theory. Some attention will be given to related philosophical issues. Prerequisite: MATH250. Also listed as PHIL371.

MATH320 Geometry (Radloff)

Topics from Euclidean geometry, Non-Euclidean geometry, and projective geometry. Prerequisite: MATH250.

MATH330 Complex Variables (Nunemacher)

A study of analytic functions, power series, complex integration, conformal mapping, and the calculus of residues with applications to physical science. Prerequisite: MATH210 and one mathematics course numbered 250 or above.

MATH335 Vector Analysis and Geometry (Nunemacher)

Advanced calculus of functions of more than one variable. Topics include the geometry of Euclidean space, vector fields, line and surface integrals, curvature and differential geometry. Prerequisite: MATH210.

MATH340 Analysis I (Schwartz)

Rigorous development of the topology of the real line, theory of metric spaces, and the foundations of calculus. Attention is given to constructing formal proofs. Prerequisite: MATH210 and MATH250. Recommended: MATH270.

MATH345 Special Topics in Mathematics (Staff)

A course of varying content reflecting the needs and interests of students.

MATH350 Probability (Schwartz)

An introduction to the major topics of probability including sample spaces, conditional probability, discrete and continuous random variables, exception and variance, and limit theorems (Law of Large Numbers, Central Limit Theorem). Time permitting, topics in stochastic processes or statistics are introduced. Prerequisite: MATH210.

MATH360 Mathematical Statistics (Linder)

Sampling distributions, derivation of distributions, proof of the Central Limit Theorem, methods of estimation, hypothesis testing, uniformly most powerful tests, estimation in multiple regression, nonparametric methods, experimental design. Prerequisite: MATH260, MATH270, and MATH350.

MATH365 Special Topics in Statistics (Linder)

A course of varying content reflecting the needs and interests of students.

MATH370 Abstract Algebra (Radloff)

Introduction to the algebraic systems of groups, rings, and fields; with applications. Attention is given to the construction of formal proofs. Prerequisite: MATH250, MATH270.

MATH380 Applied Mathematics (Wiebe)

Selected topics in ordinary and partial differential equations including Sturm-Liouville problems, Fourier series, Laplace transforms, boundary value problems, and special functions of mathematical physics. Prerequisite: MATH210 and MATH280.

MATH385 Numerical Analysis (Nunemacher)

A survey of numerical mathematics and continuous algorithms. Topics may include number representation, error analysis, finding roots of equations, interpolation, numerical differentiation and integration, solving systems of linear equations, and numerical methods for differential equations. FORTRAN will be introduced. Prerequisite: MATH210, MATH270, CS110.

MATH440 Analysis II (Schwartz)

An advanced analysis course considering topics such as Lebesque measure and integration, Hilbert and Banach spaces, Fourier series, and topology. Prerequisite: MATH340.

MATH470 Abstract Algebra II (Radloff)

Continuation of MATH270 and MATH370. Topics may include further group theory, field and Galois theory and linear algebra topics such as Jordan normal form. Prerequisite: MATH370.

MATH490 Independent Study in Mathematics (Staff)

Independent study of a topic in advanced mathematics under the guidance of a faculty member. Individually arranged.

MATH491 Directed Readings (Staff)

Reading in advanced mathematics under the guidance of a faculty member. Individually arranged.

MATH499 Seminar (Staff)

Intensive study of a topic selected by the faculty member in charge with presentations by students. Recent topics have included chaos, stochastic processes, combinatorics, experimental design, number theory, and curves and singularities.