This course is intended for those persons with algebra deficiencies who are thus not
prepared to enter MAT 1010 or MAT 1020. It is mandatory for students whose scores on
the Mathematics placement test indicate deficiency. The course content is elementary
algebra. Study skills are emphasized. Class meets five hours per week including laboratory
and the format allows for self-pacing and individualization. Course counts as three hours
credit toward course load and full-time student eligibility, but does not count toward hours
required for graduation (see "Institutional Credit").
This course is an introduction to mathematical problem solving for the non-technical
liberal arts student. Emphasis is on the development of conceptual understanding rather
than on computational drill. Using appropriate computational tools including computers is
fundamental to the course. Problems are chosen from management sciences, statistics, and
geometric and numerical patterns. Lecture three hours, laboratory two hours. Not open to
students with credit for MAT 1020, 1025, 1030 or 1110.
Prerequisite: must pass the placement test or MAT 0010.
(Must also pass the English Placement Test or ENG 0900). (WRITING; NUMERICAL
DATA; COMPUTER) (CORE:MATHEMATICS)
A study of the algebraic concepts and their applications. Topics include algebraic
relations and functions, equations, exponents and logarithms, inequalities, linear
programming, and elementary probability. Problem solving will be emphasized
throughout. Not open to students who have credit for MAT 1025, 1030 or 1110. Not
appropriate preparation for MAT 1110.
Prerequisite: must pass placement test or MAT 0010.
(NUMERICAL DATA)(CORE:MATHEMATICS)
An overview of algebraic concepts and a thorough treatment of functions such as
rational, logarithmic, exponential, and trigonometric. Included will be a rigorous treatment
of analytic geometry. Recommended for students with less than four units of high school
Mathematics who plan to take MAT 1110. Student cannot receive credit for both 1020 and
1025. Not open to students who have credit for MAT 1110.
Prerequisite: must pass placement test or MAT 0010.
(NUMERICAL DATA)(CORE:MATHEMATICS)
An introduction to the concepts of differentiation and integration with particular
emphasis upon their applications to solving problems that arise in business and economics.
This course is designed primarily for business and economics majors and is not open to
Mathematics majors or students with credit for MAT 1110.
Prerequisite: MAT 1020 or MAT
1025 or equivalent. (NUMERICAL DATA) (CORE:MATHEMATICS)
A study of limits, continuity, differentiation, applications of the derivative, the
differential, the definite integral, the fundamental theorem, and applications of the definite
integral.
Prerequisite: MAT 1025 (with a grade of C- or higher)
or equivalent. (NUMERICAL DATA) (CORE:MATHEMATICS)
A study of the logarithmic and exponential functions, circular functions and their
inverses, techniques of integration, improper integrals, infinite series, Taylor polynomial
and power series.
Prerequisite: MAT 1110 (with a grade of C- or higher).
(NUMERICAL DATA) (CORE:MATHEMATICS)
This course is an introductioon to mathematical concepts, processes, and reasoning
for the elementary school teacher. Topics include pattern, relationships, functions,
data, probability, and statistics. Not open to mathematics majors or minors.
Prerequisite: MAT 1010 or permission of the instructor.
(NUMERICAL DATA)
A study of vectors, matrices and linear transformations, principally in two and three
dimensions, including treatments of systems of linear equations, determinants, and
eigenvalues.
Prerequisite: MAT 1120 or permission of instructor.
Proof techniques and their application to selected mathematical topics. Enrollment
by invitation of the departmental honors committee. (Students may not receive credit for
both MAT 2510 and MAT 2110).
Prerequisite: the calculus sequence. (NUMERICAL
DATA)
A study of mathematics and learning related to K-6 students and prospective teachers.
Topics include assessment, number sense, numeration, and numerical operations. Selected
assessment and instructional activities will be designed for implementation with
elementary students during field placement experiences (same as CI/SPE 3000).
A theory of ordinary differential equations with applications and classical methods
for their solutions including series and Laplace transform techniques. Some numerical
methods and differential equations software might be introduced.
A study of the integers beginning with the Peano postulates and including the
Fundamental Theorem of Arithmetic, Diophantine equations, congruences, Fermat's and
Wilson's theorems, perfect numbers, Euler's theorem. Fermat's conjecture and the
Goldbach conjecture. Emphasis will be on the historical as well as the theoretical
development of the subject.
Prerequisite: MAT 3110 or permission of the instructor.
A survey of problems in the physical, engineering, biological and management
sciences in which undergraduate level Mathematics is applied in the formulation and
solution. The course offers an opportunity for students to bring all of their mathematical
background to bear on some specific real-world problems.
Prerequisites: MAT 2130 and MAT 2240 or permission of instructor. (NUMERICAL DATA;
COMPUTER)
Development of selected concepts related to modern algebra, analysis, differential
equations, and/or probability/statistics not generally found in the traditional curriculum.
Enrollment by invitation of departmental honors committee.
Prerequisite: calculus sequence, modern algebra, linear algebra. May be repeated
for credit when content is not duplicated. (NUMERICAL DATA)
A supervised experience in the instructional process on the university level through
direct participation in a classroom situation. Grading will be on a satisfactory/unsatisfactory
basis only.
Prerequisite: junior or senior standing. May be repeated for a total credit of three
semester hours.
A study of the development of Euclidean geometry including both the synthetic and
the metric approach. Topics to be considered include parallelism and similarity,
measurements, ruler and compass constructions, and consideration of at least one non-
Euclidean geometry.
An introduction to computer algebra systems such as Derive, Maple V, and
Mathematica. The course will emphasize the use of symbolic algebra as a tool in learning
and doing Mathematics through the interplay of numeric, graphic and symbolic
calculations.
Prerequisite: Junior or Senior standing or permission of the instructor.
This course will address mathematics content and pedagogy issues of importance to
secondary mathematics teachers. Class disscussions, group activities, written assignments,
and oral presentations will be integral parts of this course. The course will use problem-
solving approach to real world applications of a number of mathematics concepts
commonly found in the high school mathematics curriculum.Open to seniors the semester
prior to student teaching and to juniors by permission of the instructor. (WRITING;
SPEAKING; NUMERICAL DATA)
Development and application of numerical methods. Topics covered include
computer arithmetic and error, interpolation and approximation, roots of nonlinear
equations, and numerical inegration. Also covered: solution techniques for either linear
systems of equations or ordinary differential equations.
Prerequisite: MAT 2130 and CS
1440 or equivelent. (NUMERICAL DATA)
An introduction to fractal geometry and chaos theory. Topics include fractal
definition, self-similarity, dimension, generation of fractals, iteration of functions,
dynamical systems, chaos definition, and attractors.
Prerequisite: MAT 2130 and permission of instructor.
The content may vary depending on the instructor. Suggested topics are: Fourier
series; Sturm-Liouville problems; special functions and transforms; partial differential and
nonlinear differential equations with applications; numerical methods.
Prerequisites: MAT 3130 with MAT 3220 recommended. Knowledge of computers is helpful.
Usual topics include: power series solutions; special functions; methods and theory
of systems; existence and uniqueness theorems and continuations of solutions; Sturm
theory; nonlinear differential equations; numerical methods.
Topics include: classification and properties of elliptic, hyperbolic, and parabolic
equations; seperation of variables; Laplace and Fourier transforms; initial and boundary
value problems; eigenfunction expansions; solutions of Laplace, wave and heat equations;
and solitons.
A treatment of projective geometry including both the synthetic and the analytic
approach. Also to be considered is a study of the relation of Euclidean, affine and
hyperbolic geometrics to projective geometry.
A study of the basic concepts of general topological space including such topics as
compactness, connectedness, product spaces, metric spaces, and continuous functions.
A study of group theory including quotient groups, the fundamental theorem of
finite Abelian groups, and the Sylow theorems. Includes an introduction to rings with
emphasis on Euclidean rings and other principal ideal domains.
Prerequisite: MAT 3110 or permission of the instructor.
An informal treatment of all aspects of geometry. The topics considered include
congruence, measure of segments and angles, constructions, parallels and parallelograms,
similarity, space geometry, areas and volumes, and measurements related to circles.
Prerequisite: MAT 3910 or MAT
3920 or permission of the instructor. (SPEAKING)
This course examines the concepts underlying the elementary and middle school
curriculum in probability and statistics.Probability models will be studied using both
mathematical approaches and simulations. Statistics will be presented as a problem solving
process involving question formulation, data collection, data analysis and the interpretation
of results.
Methods for solving systems of linear equations with the emphasis on large, sparse
systems. LU factorization including storage schemes, graph theory, ordering algorithms,
and block factorization. Iterative methods including Jacobi, SOR, and conjugate gradient.
Eigenvalue methods including power method, QR factorization, and Lanczos methods.
Parallel matrix computations.