Mathematics

Degrees and Certificates

Courses

MATH 103: College Algebra

The course examines sets and operations on sets, numbers systems, algebraic expressions, exponents, solutions to equations, inequalities, and graphing. (Not open to students who have credit for a Level IV mathematics course or its equivalent, or to students with a Level III or Level IV mathematics placement score.)

MATH 103X: College Algebra Support

This course provide foundational and supportive mathematics instruction for college students. Emphasis is placed upon conceptual understanding of mathematics with corresponding computational skill development.

MATH 105: Precalculus

This course examines functions, including linear, quadratic, exponential, logarithmic, and trigonometric functions. (Not open to students who have credit for a Level IV mathematics course or its equivalent, or to students with a Level IV mathematics placement score.)

MATH 106: Introduction to Mathematica

This course introduces the student to the use of the computer program Mathematica. Students majoring in mathematics are expected to take this course in their first year so that Mathematica may be employed in all subsequent courses.

MATH 116: Introduction to Computer Algebra Systems

The course introduces the student to the use of a computer algebra system (CAS). Students majoring or minoring in mathematics are expected to take this course as early in their academic program as possible so that familiarity with a CAS may be employed in all subsequent courses.

MATH 170: Connections in Mathematical Understanding

This course examines the connections between mathematics and other liberal arts disciplines. Topics for discussion include mathematics in language, philosophy, art of symmetry, perspective, mathematics in movies and literature, daily applications of mathematics, the application of statistics, and practical uses of geometry.

MATH 201: Calculus I

This course is a study of the real number system, equations of a line, functions, limits, and continuity, and of techniques of differentiation and integration applied to maximum and minimum problems and to related rates. (The course includes four hours of class and one laboratory session each week.)

MATH 202: Calculus II

This course focuses on integration and differentiation of log, exponential, trig, and inverse functions. Additional topics include methods of integration, integration by parts, partial fractions, trigonometric substitution, L’HopitaPs rule, sequences, and series.

MATH 203: Calculus III

This course is a study of the calculus of functions of several variables and of vector valued functions. Topics include vectors, partial differentiation and integration, multiple integrals, line and surface integrals, and theorems of vector calculus.

MATH 210: Discrete Mathematics

This course introduces the student to the fundamental concepts of mathematics involved in computer science. Topics include induction, elementary counting, combinations and permutations, recursions and recurrence relations, graphs and trees, sorting and searching, and Boolean algebra. (This course may be taken for credit as CPSC 210.)

MATH 230 : History of Mathematics

This course is an exploration of the origins and development of mathematics including the philosophy of the mathematical sciences. Mathematical theories and techniques of each period and their historical evolution are examined.

MATH 241: Mathematical Methods in the Physical Sciences

This course is primarily intended for students with one year of calculus who want to develop, in a short time, a basic competence in each of the many areas of mathematics needed in junior to senior courses in physics and chemistry. Thus, it is intended to be accessible to sophomores (or freshmen with AP calculus from high school). Topics include ordinary and partial differential equations, vector analysis, Fourier series, complex numbers, eigenvalue problems, and orthogonal functions. (This course may be taken for credit as PHYS 241.)

MATH 250: Mathematics for Elementary Education

This is a course designed in content and teaching style for elementary pre-service teachers. The course emphasizes active student participation and a field placement component which permits students to develop materials and evaluation instruments and to practice the teaching of mathematics concepts, including the structure of number systems, real number properties and the computation derived from them, problem solving strategies, and geometry and measurement.

MATH 252: Mathematics for Teachers: Algebra and Geometry

This is a sophomore or junior level course designed in content and teaching style for pre-service teachers of the middle and secondary grades. The NCTM Mathematics Curriculum and Evaluation Standards are incorporated in all phases of the course. The course emphasizes active student involvement and the use of a variety of software programs. Course content includes topics found in the middle and secondary grades (basic algebra and geometry), as well as the expansion of these topics as they are encountered through the grades. Particular attention is placed on the identification of objectives for each concept and the particular NCTM Standards as they are encountered at specific grade levels.

MATH 281: Statistical Methods I

This course is an introduction to statistical analysis including frequency distributions and graphic presentation of data, measures of central tendency, measures of dispersion, probability, the normal curve and its applications, confidence intervals, testing hypotheses, correlation, and regression. Not open to students with credit for MATH 383.

MATH 281X: Statistical Methods Support

This course provide foundational and supportive mathematics instruction for college students. Emphasis is placed upon conceptual understanding of mathematics with corresponding computational skill development.

MATH 282: Statistical Methods II

This course is a study of analysis of variance, multiple regression, non-parametric methods, time series, index numbers, and decision analysis.

MATH 310: Number Theory

This course examines properties of the integers including prime numbers and their distribution, the Euclidean algorithm, linear and nonlinear Diophantine equations, congruences, multiplicative functions, primitive roots, continued fractions and quadratic residues. Applications of number theory to such areas as computer science, cryptography, and networks are studied. Software technology such as Mathematica, Matlab, or Maple is also used to examine number theoretic properties and their applications.

MATH 326: Introduction to Modern Geometry

This course is an introduction to Euclidean andnon-Euclidean geometries and synthetic projective geometry, the concept of limit and infinity, geometrical constructions, and recent developments and theorems.

MATH 341: Differential Equations

This course is a study of the methods of solution of ordinary and partial differential equations and of applications of differential equations.

MATH 354: Linear Algebra

This course is a study of geometric vectors, matrices and linear equations, real vector spaces, linear transformations and matrices, and inner product spaces.

MATH 373: Writing for Mathematics and Computer Science

This course is designed to introduce the process of presenting solutions to mathematical problems, proofs to mathematical theorems, and preparing and presenting research papers in the mathematical sciences. (This course may also be taken for credit as CPSC 373.)

MATH 390: Numerical Analysis

This course is a study of numerical methods in evaluating integrals and differential equations, techniques in finding the roots of polynomials, solving systems of linear equations, and matrix manipulation. (This course may be taken for credit as CPSC 390.)

MATH 403: Introduction to Real Analysis

This course concentrates on the careful study of the principles underlying the calculus of real valued functions of real variables. Topics include sets and functions, compactness, connectedness, uniform convergence, differentiation, and integration.

MATH 410: Topology

This course is a study of those properties of objects that are preserved when stretching, twisting, bending, or compressing an object without tearing it and without identifying any two of its points. Topics include metric and topological spaces, cardinality, countability properties, separation axioms, continuity, and homeomorphic spaces.

MATH 420: Professional Internship

This course is a professionally supervised experience with off-campus mathematicians, computer scientists, or applied scientists using modem research and/or analytical techniques. Settings may vary from purely academic summer programs to private or public scientific institutions. The number of credits awarded depends on the number of imbedded hours in the internship experience. A minimum of 50 imbedded hours is expected per credit with the maximum number of credit earned is eight.

MATH 430: History of Mathematics

This course is an exploration of the origins and development of mathematics including the philosophy of the mathematical sciences. Mathematical theories and techniques of each period and their historical evolution are examined.

MATH 480: Methods and Materials in Teaching Mathematics

This course is a study of the approved methods in teaching mathematics at the middle and secondary level. The emphasis is on the following: class period activities of the teacher; procedures and devices in teaching; organization of materials; testing aims; modem trends. (This course may be taken for credit as EDUC 480. A 30 hour field placement is required.)