100. Preparatory Mathematics
(3 credits)
A course designed to prepare students deficient in mathematics for successful performance
in the mathematics courses required for degree programs. This course
does not fulfill graduation requirements of a mathematics course and may not be
taken after successful completion of any other mathematics course at Saint Francis
University. Fall and as needed.
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101. General Mathematics
(3 credits)
Designed for students in a variety of majors. The nature of mathematics; an appreciation
of the beauty, extent, and vitality of mathematics; some of its more modern
concepts, and its impact on society. Spring.
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105. Modern Elementary Mathematics I
(3 credits)
For elementary education majors. Elementary theory of sets and logic, properties of
operations in the set of whole numbers; algorithms for performing the operation.
Fall, Summer.
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106. Modern Elementary Mathematics II
(3 credits)
Properties of operations in the sets of integers, rational numbers, and real numbers;
elementary concepts of geometry. Prerequisite: Mathematics 105. Spring, Summer.
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110. Pre-Calculus Mathematics
(3 credits)
Essential mathematical background needed in calculus. It includes topics such as:
functions, graphs, analytic geometry, polynomials, exponential and logarithmic
functions, trigonometry, triangles, complex numbers and systems of equations. Fall.
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111. Finite Mathematics
(3 credits)
A unified treatment of basic concepts of set theory, logic, probability, statistics,
matrix algebra, and linear programming. Fall, Spring, Summer.
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112. Calculus
(3 credits)
An intuitive approach to the fundamental notions of the derivative and integral of
algebraic, exponential, and logarithmic functions; applications of basic techniques.
Prerequisite: Math 110 or satisfactory performance on calculus placement
exam. Spring.
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121. Calculus with Analytic Geometry I
(3 credits)
Introduction to differentiation and integration of functions of one real variable,
applications to related disciplines; topics of analytic geometry introduced as needed.
Prerequisite: Math 110 or satisfactory performance on calculus placement
exam. Fall.
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122. Calculus with Analytic Geometry II
(3 credits)
Differentiation and integration of transcendental functions; techniques of integration.
Prerequisite: Mathematics 121. Spring.
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130. Discrete Mathematics
(3 credits)
The study of finite systems in mathematics with an emphasis on applications in computer
science. Topics include: set theory, relations, functions, matrices, graph theory,
combinatorial analysis, algebraic systems, partially ordered sets/lattices, propositional
calculus, and Boolean algebras. Fall 2005, Spring 2007.
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Math 192. Freshman Mathematics Seminar
(0 credits)
Sessions will cover a variety of student centered topics from student life, undergraduate research opportunities and presentations, graduate/professional school entrance exams, career planning and preparation. Fall.
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221. Calculus III
(3 credits)
Advanced techniques of integration; introduction to sequences and series.
Prerequisite: Mathematics 122. Fall.
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222. Calculus IV
(3 credits)
Differentiation and integration of multivariable functions; applications.
Prerequisite: Mathematics 221. Spring.
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Math 292. Sophomore Mathematics Seminar
(0 credits)
Sessions will cover a variety of student centered topics from student life, undergraduate research opportunities and presentations, graduate/professional school entrance exams, career planning and preparation. Fall.
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301. Logic and Set Theory
(3 credits)
Fundamental principles of inference; introduction to the theory of sets; transfinite
arithmetic. As needed.
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302. Number Theory
(3 credits)
Congruences, number-theoretic functions, Diophantine equations, divisibility properties
of integers. Selected topics. As needed.
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303. Foundations of Geometry
(3 credits)
Axiomatic development of projective, affine and Euclidian geometry. Spring, odd numbered
years.
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304. Mathematical Statistics I
(3 credits)
Fundamental concepts of probability; particular probability distributions; sampling
theory and hypothesis testing; correlation and regression. Prerequisite:
Mathematics 122. Spring 2006, Fall 2007.
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305. Mathematical Statistics II
(3 credits)
A continuation of Mathematics 304, covering general principles of statistical
inference, small sampler distribution, design of experiment, non-parametric methods,
sequential analysis, and Bayesian techniques. Prerequisite: Mathematics
304. As needed.
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306-307. Ordinary Differential Equations I, II
(3 credits each)
Theory of first and higher order elementary differential equations, including
Laplace transforms and power series. Practical applications. Prerequisite:
Mathematics 122. Mathematics 306 is a prerequisite for Mathematics 307. Spring,
even-numbered years.
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308. Vector Analysis/Partial Differential Equations
(3 credits)
The algebra and geometry of vectors with applications to mechanics and dynamics;
linear vector spaces and matrices; vector field theory; the vibrating string; solutions
of PDE by series and integrals. Prerequisite: Mathematics 222. As needed.
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310. Numerical Analysis
(same as Computer Science 310)
(3 credits)
Programmable algorithms, with error analysis, for: solving non-linear equations,
systems of linear equations, matrix calculations, polynomial interpolation, least
squares approximation, and numerical integration. Programming assignments.
Prerequisites: Computer Science 121, 203, Mathematics 221. As needed.
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322. Linear Algebra
(3 credits)
Basic theory of finite dimensional vector spaces, linear transformations over them,
and associated matrix algebra. Fall 2006, Spring 2008.
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Math 392. Freshman Mathematics Seminar
(0 credits)
Sessions will cover a variety of student centered topics from student life, undergraduate research opportunities and presentations, graduate/professional school entrance exams, career planning and preparation. Fall.
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398/399. Mathematics Internship
(3-15 credits)
The integration of classroom theory with practical work experience under which
students have specific periods of attendance at college and specific periods of
employment, either full- or part-time, with or without pay. Credit may vary from
three to 15 credits, but no more than four credits may be counted toward major
requirements, with additional credits counted as free electives. Open only to
Mathematics majors with approval of the department chair and the Vice President
for Academic Affairs. Fall, Spring, Summer.
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401. Real Analysis I
(3 credits)
The Peano axioms and the construction of the Real Number System; topology of the
Real Number System; limits and continuity; derivatives; the Riemann Integral.
Prerequisite: Mathematics 122. Fall, even-numbered years.
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402. Real Analysis II
(3 credits)
Further properties of the Riemann Integral; infinite series; sequences and series
of functions; power series; the Stieltjes Integral; Fourier Series; introduction to
Lebesgue Measure and the Lebesgue Integral. Prerequisite: Mathematics 401.
As needed.
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406. Topology
(3 credits)
An introduction to point-set topology. Properties of metric and general topological
spaces. Applications to the space of real numbers. Prerequisite: Mathematics 401.
As needed.
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407. Abstract Algebra I
(3 credits)
Fundamentals of algebraic systems, including elementary theory of groups, rings,
and fields. Prerequisite: Junior or senior standing. Fall, odd-numbered years.
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408. Abstract Algebra II
(3 credits)
Algebraic structures including lattices, algebraic number fields and related topics.
Prerequisite: Mathematics 407. As needed.
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491. Seminar: Special Problems
(1-3 credits)
Open to qualified students with special areas of interest. As needed.
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492. Mathematics Seminar
(1 credit)
Selection of an acceptable mathematics topic, research, and presentation of the
research findings in written and oral form. Prerequisite: Mathematics 222. Fall.
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501. Independent Study in Mathematics
(1-8 credits)
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101-102. Statistics I, II
(3 credits each)
Methods used in the collection, presentation, analysis and interpretation of data,
including experimental design, sampling theory, estimation theory, hypothesis testing,
regression, correlation, analysis of variance and non-parametric techniques.
Computer analysis required. STAT 101: Fall, Spring, Summer. STAT 102: As needed.
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103. Statistics Lab
(1 credit)
Optional laboratory course. Corequisite (or prerequisite): Statistics 101 or Business
Statistics 301. As needed. |