DSPM 0700, 0800 and 0850 are Developmental Studies
MATH 0990 Elementary Geometry (3) non-graduation credit
Course renumbered from MATH 0900
Prerequisite: One year high school algebra and/or DSPM 0800; open
only to students without geometry credit in high school.
Designed to remove deficiency in high school geometry. Main topics
include: properties, symmetry, congruency, and similarity of geometric
figures; Pythagorean Theorem and right triangle relationships; areas;
circles; constructions; use of geometrical thinking in solving problems.
MATH 1110 College Algebra (3)
Course renumbered from MATH 1210
Prerequisite: Two years high school algebra
Basic algebraic concepts, equations, functions and graphs, inequalities,
and systems of equations.
MATH 1120 College Algebra (3)
Course renumbered from MATH 1220
Prerequisite: MATH 1110
Matrices, conic sections, theory of equations, exponential and
logarithmic functions, mathematical induction, sequences, permutations,
combinations, probability, and other finite mathematical concepts.
MATH 1410 Structures of Mathematical Systems (3)
Course renumbered from MATH 2110
Prerequisite: Two years high school mathematics
Problem solving, the system of rational numbers, logic, sets, functions,
algebra, and number theory.
MATH 1411 Structure of Mathematical Systems Lab (1)
Course renumbered from MATH 2111
Corequisite: MATH 1410
Elective mathematics laboratory for students desiring extra assistance
with MATH 1410. Lab instruction will focus on problem solving. Pass/Fall
grading.
MATH 1420 Structure of Mathematical Systems (3)
Course renumbered from MATH 2120
Prerequisite: MATH 1410
Problem solving, proportionality, the real number system, probability,
data analysis, geometric concepts and measurement.
MATH 1421 Structure of Mathematical Systems Lab (1)
Course renumbered from MATH 2121
Corequisite: MATH 1420
Elective mathematics laboratory for students desiring extra assistance
with MATH 1420. Lab instruction will focus on problem solving. Pass/Fail
grading.
MATH 1530 Elements of Statistics (3)
Course renumbered from MATH 1240
Prerequisite: MATH 1110
Measures of central tendency and dispersion for descriptive statistics,
estimations of confidence intervals for means and proportions,
probability distributions, hypotheses testing, analysis of variance, the
least squares method, and correlation analysis.
MATH 1610 Fundamental Concepts of Mathematics (3)
Course renumbered from MATH 1140
Prerequisite: A mathematical background equivalent to the completion
of secondary school Algebra I and Geometry.
Logic, sets and counting, fundamental concepts of probability and
statistics, and finance.
MATH 1620 Fundamental Concepts of Mathematics (3)
Course renumbered from MATH 1150
Prerequisite: MATH 1610
Geometry, matrices and Markov chains, linear programming, exponential
and logarithmic functions.
MATH 1720 Trigonometry (3)
Course renumbered from MATH 1330
Prerequisite: Two years high school algebra, 1110 or equivalent
Circular functions and their graphs, inverses, identities and
conditional equations, solutions of triangles, trigonometric form of
complex numbers, DeMoivre’s Theorem, exponential and logarithmic
functions, parametric and polar equations.
MATH 1810 Elements of Calculus (3)
Course renumbered from MATH 1610
Prerequisite: Two years of high school algebra
Designed for students whose major interest is outside the physical
sciences but who require a working knowledge of calculus. Limits, the
derivative, differentiation techniques, applications of differentiation,
the definite integral, integration techniques, and applications of
integration.
MATH 1820 Elements of Calculus (3)
Course renumbered from MATH 1620
Prerequisite: MATH 1810
A continuation of 1810. Functions of several variables, exponential and
logarithmic functions, differential equations, Taylor polynomials,
infinite series, and numerical methods.
MATH 1910 Calculus And Analytic Geometry (5)
Course renumbered from 2010
Prerequisite: Four years high school mathematics, including
trigonometry
Elements of plane analytic geometry, functions, limits and derivations
of algebraic and trigonometric functions with applications, integration,
and applications.
MATH 1920 Calculus And Analytic Geometry (5)
Prerequisite: MATH 2020
Polar coordinates, numerical integration, infinite series, techniques of
integration, improper integral, conic sections, and transcendental
functions.
MATH 2110 Calculus (3)
Prerequisite: MATH 2030
Three dimensional vectors, partial derivatives, multiple integration,
and vector calculus.
MATH 3010 Introduction to Mathematical Reasoning (3)
Prerequisite: Math 1920
Topics include inductive and deductive reasoning, symbolic logic, truth
tables, set theory, and functions, with emphasis on various techniques
in proving mathematical theorems. Applications to geometry, number
theory, algebra, analysis, and topology will be discussed.
MATH 3000 Discrete Mathematics (3)
Prerequisites: MATH 1820, MATH 1920, or permission of instructor
The study of algorithms, counting methods and combinatorics, graph
theory, trees, Boolean algebras and combinatorial circuits.
MATH 3120 Differential Equations (3)
Course renumbered from MATH 3100
Prerequisite: MATH 2110
First order differential equations and applications, linear equations of
higher order and applications, series solutions of differential
equations, Bessel functions and other classical functions obtained by
series solutions.
MATH 3130 Differential Equations (3)
Course renumbered from MATH 3110
Prerequisite: MATH 3120
The Laplace transform and its application to differential equations,
systems of linear differential equations, numerical methods. Fourier
series and the solution of boundary value problems involving partial
differential equations such as the heat equation and the wave equation.
MATH 3450 Linear Algebra (3)
Prerequisite: MATH 1920
Systems of linear equations, determinants, vector spaces with emphasis
on finite-dimensional spaces, linear transformations, similarity,
eigenvalues and eigenvectors, diagonalization, quadratic forms,
numerical methods, and applications.
MATH 3630 College Geometry (3)
Prerequisites: MATH 1910 and one year of high school geometry
An introduction to modern elementary geometry, transformational
geometry, projective geometry, non-Euclidean geometry, and foundations
of geometry.
MATH 3700 Mathematics of Finance (3)
Prerequisite: MATH 1120
A mathematical treatment of the basic formulas underlying finance,
investment and life insurance. An introduction to the theory of compound
interest and compound discount, ordinary and general annuities,
amortization and sinking funds, bonds and life insurance.
MATH 4010 History of Mathematics (3)
Prerequisite: Permission of instructor
Development of elementary mathematics and a study of the individuals who
contributed to it.
MATH 4020 Geometry For Elementary School Teachers (3)
Prerequisite: MATH 1420
Informal geometry, regular polygons, tessellations, transformations,
measurement, deductive reasoning, constructions, topology, and solid
geometry.
MATH 4030 Problem Solving For Elementary School Teachers (3)
Prerequisite: MATH 1420
An in-depth investigation of problem solving strategies and procedures.
Particular emphasis will be placed on problem solving in an algebraic
context.
MATH 4100 Mathematical Concepts Development (3)
Prerequisite: MATH 1420 and Provisional admission to Teacher
Education
Contemporary elementary school mathematics curriculum, teaching
materials, and strategies for effective teaching. Field experience
required.
MATH 4110 Number Theory (3)
Prerequisite: MATH 1920
Divisibility, properties of primes, analysis of congruence, quadratic
residues, and Diophantine analysis.
MATH 4160 Complex Analysis (3)
Prerequisite: MATH 1920
The algebra of complex numbers, properties of analytic functions,
elementary functions and mapping, complex integration, power series,
residues and poles, conformal mapping.
MATH 4200 Mathematics Content and Pedagogy for Middle School (3)
Prerequisites: MATH 1420
Using appropriate technology, students will investigate and apply
concepts of algebra, geometry, trigonometry, probability, and calculus.
The course will also address pedagogy in the middle school mathematics
classroom. Field experience required.
MATH 4210 Topology (3)
Prerequisite: MATH 2110
Sets, metric spaces, limits, continuous maps and homeomorphisms,
connectedness, and compact topological spaces.
MATH 4240 Probability (3)
Prerequisite: MATH 1920
Emphasis on those topics having statistical applications. Sample spaces,
continuous and discrete random variables and their probability
distributions.
MATH 4250 Mathematical Statistics (3)
Prerequisite: MATH 4240
Multivariate probability distributions, estimation of parameters,
hypothesis testing, linear models, analysis of variance, analysis of
enumerative data, and nonparametric statistics.
MATH 4450 Mathematical Models (3)
Prerequisite: MATH 1920, MATH 3450
Formation of mathematical models for problems in science and business.
Special emphasis on models requiring algebra, calculus, discrete
methods, linear programming, and probabilistic models.
MATH 4460 Applied Mathematics (3)
Prerequisite: MATH 2110, MATH 3120, MATH 4450
Analysis and solution of mathematical problems arising from scientific
and industrial settings including mathematical models requiring
differential equations. Writing and presentation of mathematical models
and solutions.
MATH 4500 Modern Algebra (3)
Prerequisite: MATH 1920
Relations, maps, abstract algebras, groups, rings, integral domains,
order, morphisms, fields, and factorization.
MATH 4670 Numerical Analysis (3)
Prerequisites: MATH 1920 and CSCI 1010 or permission of instructor
Digital computer programming, finite differences, numerical integration,
matrix computations, numerical solutions of non-linear systems and
differential equations.
MATH 4710 Advanced Calculus (3)
Prerequisite: MATH 2110
Logic and proof, functions, cardinality, real numbers, sequences,
limits, continuity, differentiation, integration, infinite series,
sequences, and series of functions.
MATH 4810 Senior Seminar (1)
Prerequisite: Senior standing and permission of department chair
The threads that link concepts found in undergraduate mathematics will
be discussed. The transition from student to career will be addressed.
The library and other resources will be utilized to encourage a
continuing development of mathematical thought.
MATH 4900, 490A Special Problems (3 each)
Prerequisite: At least 30 hours in mathematics
Elected mathematical topics of general interest.
MATH 4910, 4920, 4930 Topics in Mathematics (1 each)
Prerequisite: Permission of instructor
Workshops of short duration, organized around topics of current
interest.
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