101  Precalculus Mathematics (3)

Sets, the real number system, relations, functions, graphs, algebraic processes, inequalities, trigonometric functions, exponential and logarithmic functions, introduction to sequences.  Prerequisite: three years of high school mathematics or consent.  Cannot be counted toward the major.  Spring.

102 Topics in Mathematics (1-2)

Topics in mathematics selected from general education mathematics classes.  Arranged in conjunction with the individual needs of the student.  Prerequisite: consent.

103 Calculus for Management Sciences (3)

Fundamental principles of differential and integral calculus.  Applications chosen mainly from the management sciences.  Prerequisite: passing proficiency exam administered by Mathematics Department or receiving a "C" or better grade in Math 90 the prior year.  Fall, spring.

104 College Algebra (3)

Equations, inequalities, systems of equations, functions and graphs, polynominal and national functions, exponential and logarithmic functions, sequences and series.  Prerequisite: Three years of high school mathematics or consent.

105 Calculus I (4)

Limits, differentiation and integration of rational and trigonometric functions, with applications.  Introduction to use of Mathematica.  Prerequisite: four years of high school mathematics or consent.  Fall. 106 Calculus II (4)

Differentiation and integration of logarithmic, exponential and inverse trigonometric functions; various methods of integration; infinite sequences and series; parametric equations, polar coordinates.  Prerequisite: 105.  Spring.

112 Discrete Structures (3)

Elementary properties of sets, discrete probability and combinatorial analysis, graphs, relations, orderings, functions, simple algebraic structures, binary arithmetic and other bases, methods of proof.  Prerequisite: three years of high school mathematics or consent.  Spring.

117 Fundamentals of Mathematics for Elementary Teachers I (3) Problem solving, set theory, whole numbers, number theory, integers, rational numbers as fractions, decimals, percents, and real numbers.  Use of manipulatives.  For elementary education majors only.  Cannot be counted toward the mathematics major.

118 Fundamentals of Mathematics for Elementary Teachers II (3)

Introductory geometry, congruence, symmetry, measurement, algebra and coordinate geometry, statistics, probability.  Use of manipulatives.  For elementary education majors only.  Cannot be counted toward the mathematics major.

120 The Nature of Mathematics (3)

Selected topics in mathematics with consideration of historical development and related philosophical issues.  Designed to meet the general education requirement in mathematics for liberal arts students.  Cannot be counted toward the mathematics major.  Fall, spring.

130 Honors Nature of Mathematics (3)

A historical, thematic and integrative study of the nature of mathematics using selected topics.  Readings in primary source material.  Mathematical content includes number theory, geometries and concepts of calculus.  May be counted toward the mathematics minor.  Prerequisite: 101 or equivalent, or consent of the instructor.

190 Business Statistics (3)

Collection and presentation of business data, central tendency and dispersion measures for business analysis, sampling and inference for confidence intervals and hypothesis testing, business forecasting with simple and multiple regression, index numbers.  Prerequisite: consent.  Fall, spring.  For business majors only.

205 Calculus III (4)

Functions of two and three variables, partial differentiation, multiple integration, curves and surfaces in three dimensional space.  Prerequisite: 106.  Fall.

210 Introduction to Probability and Statistics (3)

Nature of statistical methods, description of sample data, fundamental concepts of probability, probability distributions, sampling, estimation, correlation and regression, application of same.  Fall, spring.

291 Linear Algebra (3) Topics from matrices, determinants, linear transformations and vector spaces.  Prerequisite: 106 or consent.  Fall.

305 Advanced Calculus (3)

The real number system, elementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals.  Prerequisite: 112 and 205 or consent.  Alternate years.

315 Modern Algebra (3)

Introduction to abstract algebra with topics from elementary ring, field and group theories.  Emphasis on ring of integers, congruences, polynomial domains, permutation groups.  Prerequisite: 112 and 291 or consent.  Alternate years.

321 Numerical Analysis (3)

Functions of one variable, approximate numerical solutions of non-linear equations and systems of linear equations, interpolation theory, numerical differentiation and integration, numerical solutions of ordinary differential equations.  Prerequisites: 291, Computer Science 105.  Alternate years.

331 Probability (3)

Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes? Theorem, one and higher dimensional random variables, special and multivariate distributions.  Prerequisites: 112, 205.  Alternate years.

332 Statistics (3)

Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals.  Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; application of statistical methods.  Prerequisite: 331 or consent.  Alternate years.

333 Operations Research (3)

Mathematical foundations of model building, optimization, linear programming models, game theoretic models.  Prerequisites: 105, Computer Science 105.

341 Classical Geometry (3)

Theorems of Pythagoras, incenters, circumcenters, circles, Euler line, Fermat center.  Compass constructions.  Solid geometry.  Spherical geometry of arcs.  Coordinate geometry.  Prerequisite: Consent.  Alternate years.

370 Readings in Mathematics (1)

Reading of material in a special topic.  Colloquium participation.  Writing and oral presentation of a research paper.  Prerequisite: Consent of the department.  May be repeated for credit.

410 Topics in Advanced Calculus (3)

Implicit function theorems, main theorems in integral calculus.  Jacobian transformations, infinite series.  Prerequisite: 305.  Alternate years.

415 Number Theory and the History of Mathematics (3)

The history of mathematics from Euclid through the 19th century as seen by exploring developments in number theory including congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primitive roots, indices, quadratic reciprocity and the distribution of prime numbers.  Prerequisite: 112.  Alternate years.

420 Modern Geometry (3)

Projective geometry, cross ratios theorems of Menelaus, Cevas, Pappus, Desargues and Brianchon.  Hyperbolic and elliptic geometries.  Differential geometry, curvature, torsion.  Prerequisite: 341 or consent.  Alternate years.

435 Differential Equations (3)

First order differential equations and second order linear equations, series solutions, Laplace transforms, numerical methods, partial differential equations and Fourier series, boundary value problems and Sturm-Liouville theory.  Prerequisite: 205, 291 or consent.  Alternate years.

440 Complex Variables (3)

Complex variables, analytic functions, complex integral theorems, power series, conformal mappings.  Prerequisite: 205 or consent.  Alternate years.

450 Topics in Abstract Algebra (3)

Topics from groups, ring and fields.  Galois theory.  Prerequisite: 315.  Alternate years.

480 Research Seminar (1-3)

Special studies in mathematics. Prerequisite: senior standing or consent.  May be repeated for credit.