Mathematics course descriptions

Junior standing or higher is recommended for 300 or 400 level college courses in mathematics.

Math-122 Introduction to Statistics (3)

The fundamentals of elementary statistics, data collection and analysis, probability, distributions, sampling, hypothesis testing, correlation and regression.

Math-132 Intermediate Algebra (3)

An overview of fundamental algebraic concepts. Real and complex numbers, algebraic expressions, equations and inequalities, functions, polynomials, rational expressions, graphing, exponential and logarithmic functions, systems of equations and matrices. Prerequisite: one year of high school algebra.

Math-142 Survey of Contemporary Mathematics (3)

Selected topics which may include graph theory, apportionment, fair division, voting methods, bin packing, cryptography and coding, probability and statistics, game theory, financial mathematics, non-Euclidean geometry, dynamics of growth, tessellations and symmetry. Open to students with fewer than three years of high school mathematics or those with departmental permission.

Math-151 Pre-Calculus Mathematics (3)

A study of elementary functions, their graphs and application, including polynomials, rational algebraic functions, exponential, logarithmic and trigonometric functions.

Math-175 Finite Mathematics (3)

Introduction to finite mathematics through the study of logic, sets, probability, statistics, game theory, vectors, matrices, and linear programming. Many applications.

Math-184 Calculus I (4)

A beginning course in the analysis of functions including analytic geometry. A study of limits, techniques and applications of differentiation, basic integration and transcendental functions. Prerequisite: four years of high school mathematics or equivalent.

Math-186 Calculus II (4)

A continuation of Calculus I. Topics studied include integration, analytical geometry and vectors in two-dimensional space, and techniques of integration. Prerequisite: Math-184 or instructor’s permission.

Math-201 Concepts of Mathematics I (3)

An activities approach to problem solving, systems of numeration, properties of whole numbers, integers, fractions, real numbers, and numerical operations, number theory and statistics. Only available to Early Childhood and Elementary Education students. Prerequisite: Sophomore level or higher.

Math-219 Introduction to Symbolic Logic (3)

An introduction to mathematical logic including history and development, sentential and predicate logic (including equivalence, implication, deduction, completeness, compactness, and soundness) cardinality, computability, and incompleteness. Same as Phil-319.

Math-252 Mathematical Structures (3)

A transition course which introduces students to logic, set theory, and the axiomatic method. This course is designed for students continuing to higher level mathematics courses.

Math-284 Calculus III (4)

A continuation of Calculus II. A study of analytic geometry in three-dimensional space, partial differentiation, multiple integration and infinite series. Prerequisite: Math-186.

Math-301 Concepts of Mathematics II (3)

An activities approach to studying mathematics concepts in probability, functions and algebra, and numerous topics in geometry. Geometrical topics include two- and three-dimensional geometry, constructions, congruences, motion and coordinate geometry symmetries and concepts of measurement. Prerequisite: Math 201 or one semester of calculus.

Math-305 Mathematics for Elementary/Middle Level Teachers (3)

An activity approach to teaching and learning mathematics concepts in geometry, probability, statistics, logic, and calculators. Special attention is devoted to various grade levels on which various topics are presented and how they can be presented. Prerequisite: three hours of college level mathematics and junior level standing, or permission of the arts and sciences division or education division.

Math-315 History of Mathematics (1)

The development of mathematics through-out various civilizations. It is designed to create an appreciation for our present mathematical system and an understanding of how our present mathematical system came to be what it is today. Prerequisite: Math-252 and three semesters of college mathematics.

Math-318 Seminar in Mathematics (1-3)

Math topics of interest, readings and problems in mathematics. Some topics included are transfinite numbers, angle tri-section, game theory, and sequences of complex numbers. Prerequisite: 15 hours of college mathematics or permission of instructor.

Math-321 Numerical Analysis (3)

An introduction to the basic algorithms of numerical analysis. Topics include floating point arithmetic, interpolation and approximation, numerical integration, systems of linear equations, solution of non-linear equations, and solution of ordinary differential equations. Assignments using Mathematica will give experience in applying selected algorithms. Prerequisite: CS-131 and 141, and Math-384 are strongly recommended. Same as CS-321.

Math-322 Foundations of Statistics (3)

A study of mathematical statistics including probability distributions sampling theory, point estimation, methods of correlation and regression, and the principles of statistical inference. Prerequisite: Math-284 or concurrent registration.

Math-323 Foundations of Statistics II (3)

A study of mathematical statistics including sampling theory, point estimation, game and decision theory, hypothesis testing, experimental design, methods of correlation and regression, ANOVA, and non-parametric tests. Prerequisite: Math-322.

Math-332 Abstract Algebra I (3)

An introduction to algebraic structures with an emphasis on groups, subgroups, and group isomorphisms. A brief introduction to rings, domains and fields. Prerequisite: Math-252 and upper level standing.

Math-333 Linear Algebra (3)

Linear algebraic structures, their theory and application. Matrices, determinants, linear transformations, programming, vectors and vector spaces, dependence, inner products, row operations and echelon systems. Prerequisite: Math-284; Math-252 is recommended.

Math-335 Number Theory (3)

Mathematical induction, greatest common divisor, fundamental theorem of arithmetic, prime and composite integers, and congruences. Prerequisite: Math-252 and three semesters of college mathematics.

Math-342 Abstract Algebra II (3)

A continuation of Math-332 with an emphasis on polynomials over integral domains and polynomials over field. Prerequisite: Math-332 or equivalent.

Math-348 Discrete Mathematics (3)

See CS-348.

Math-365 Foundations of Geometry (3)

An introduction to the general study of geometries including projective, finite, and non-Euclidean geometries. Prerequisite are high school geometry, three semesters of college mathematics and Math-252.

Math-382 Real Analysis I (3)

Properties of the real number system, sequences, limits, continuity, the derivative, Riemann integral, the Fundamental Theorem of Calculus and series. Prerequisite: Math 252 and 284.

Math-383 Real Analysis II (3)

Selected topics from limits, continuity, properties of the derivative, the Riemann, integral and the fundamental theorem of the Calculus. A natural continuation of Real Analysis I. Prerequisite: Math-382.

Math-384 Differential Equations (3)

A study of ordinary differential equations, first and higher order, systems linear and non-linear, their solutions and applications, including La Place Transforms. Prerequisite: Math-284.

Math-402 Practical Math Labs and Activities for Elementary Teachers (3)

This course is designed to give the elementary teacher practice in analyzing math materials for math activities and in writing and building these activities for the classroom. Emphasis will be on topics in geometry as: relationships in the triangle, on parallel lines, and in the circle; other elementary math topics will be investigated. Prerequisite: consent of instructor.

Math-475 Mathematical Modeling (3)

This course is an introduction to mathematical modeling of deterministic and stochastic dynamical systems. Differential equations, matrices, elementary probability and statistics will be applied to the development and analysis of continuous and discrete models that arise in the physical, biological, social and management sciences. Prerequisites: Math-322, 333, and 384.