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   Julia Set

        Mandelbrot Set

 

Mathematics Courses

MTH 101 PRE-CALCULUS
Three Credits        Fall Semester

Algebraic equations and simplification: factoring, common denominators and conjugates. Graphs of equations. Lines, quadratic curves: equations
and graphs. Graphing curves with intercepts and asymptotes. Examples using algebraic, logarithmic and exponential and trigonometric
functions. Use of mathematics technology.

MTH 119 APPLIED CALCULUS FOR BUSINESS
Three Credits        Fall Semester

A one semester introduction to differential and integral Calculus designed for Business Administration majors. Topics include limits, derivatives, rates, exponential functions, antiderivatives, graphs, logarithms and exponential functions, antiderivatives, differential equations. The course emphasizes computation, problem solving and applications. Students who have taken  MTH 125 may not receive credit for MTH 119. Pre-requisite: Students who have not taken a high school equivalent of Pre Calculus should take MTH 101 Pre Calculus before enrolling in MTH 119.


MTH 125 CALCULUS I
MTH 126 CALCULUS II

Four Credits  Each       Fall (MTH 125);  Spring (MTH 126)

First two semesters of a four-semester sequence. Intended primarily for Mathematics and science majors and minors. Includes theory of Calculus of one variable as well as computational methods, problem solving, logical reasoning and applications and applications with algebraic and transcendental functions. In addition to the basic topics from differential and integral Calculus, these courses include: improper integrals, indeterminate forms, sequences and series. A computer algebra system, MAPLE V, or graphing calculators may be used. Students who have taken MTH 119 may not receive credit for MTH 125.

MTH 143 MATHEMATICAL REASONING FOR EDUCATION
Three Credits        Fall and Spring Semesters

A one-semester course designed for Education majors. The course includes a review of algebra and geometry. Further topics include: types of numbers, algebraic structures, theory of equations, combinatorics, probability and statistics, interpreting and analyzing data. The course emphasizes problem solving, quantitative and logical reasoning.

MTH 145 BASIC QUANTITATIVE TECHNIQUES 
(Statistical Reasoning)
Three Credits       Fall and Spring Semesters

Basic methods of data analysis: organizing and summarizing data, probability, probability distributions, statistical inference.

MTH 149 COLLEGE HONORS SEMINAR
 (Natural Scientific Inquiry)
Three Credits        Not Offered 2009-2010

A General Education course open to students in the college-wide Honors Program. Special themes and topics. Emphasis on oral and written expression. For   further information, consult with the Department Chairperson or the Director of the Honors Program.

MTH 191 THE LANGUAGE OF MATHEMATICS
(Natural Scientific Inquiry)
Three Credits       Fall Semester

Covers basic concepts, reasoning patterns, and the language skills which are fundamental to higher mathematics. These skills include the ability to read and write mathematics, employ common patterns of mathematical thought, and read the write proofs. Prerequisite: MTH 126 or consent of the instructor.

MTH 193 THE NON-EUCLIDEAN REVOLUTION
(Natural Scientific Inquiry)
Three Credits        Fall Semester

Book I of Euclid’s Elements; Plato and Kant on geometry; Euclid’s controversial fifth postulate; Lobachevsky’s alternative geometry. An intellectual adventure spanning 2100 years, whose outcome changed the way mathematicians view their subject

MTH 207 STATISTICAL REASONING: CHANCE 
(Statistical Reasoning)
Three Credits       Fall and Spring Semesters

An introduction to the ideas and issues of probability and statistics and their applications in everyday life. Topics include: experiment design,descriptive statistics, chance and inference.

MTH 225 STATISTICS IN SCIENCE
(Statistical Reasoning)
Three Credits        Spring Semester

Probability; descriptive statistics; normal distribution, inference; hypothesis testing; analysis of variance; sampling theory; correlation and regression. Examples from the sciences. Prerequisites:  MTH 125-126, or consent of the instructor.

MTH 251 LINEAR ALGEBRA
Three Credits        Spring Semester

The development of the methods and underlying ideas for solving systems of linear equations. Topics include: vectors, matrices, linear transformations, determinants and eigenvectors. Use of mathematical software MAPLE, in applications. Prerequisite: MTH 261 or consent of the instructor.

MTH 261 MULTIVARIABLE CALCULUS
Four Credits        Fall Semester

Continuation of the sequence begun in Calculus I and II. Functions of several variables, analytic geometry, vectors, partial derivatives, multiple integration. Prerequisite: MTH 126 with minimum grade “C-,” or consent of the instructor.

MTH 270 DISCRETE MATHEMATICS
Three Credits            Spring Semester

Sets operations, Countability, Functions, Number Theory, Equivalence Relations, Recurrence Relations, Graphs, Combinatorics, Probability. Pre-requisites: MTH 191 and MTH 126 or consent of the instructor.


MTH 351 ABSTRACT ALGEBRA I
MTH 352 ABSTRACT ALGEBRA II
Three  Credits  Each       Fall (MTH 351);  Spring (MTH 352)

Rings, fields, rings of polynomials, extension fields, automorphisms of fields, splitting fields, groups, Galois theory. Prerequisite: MTH 251 with minimum grade of “C-,” or consent of the instructor.

MTH 361 REAL ANALYSIS I
MTH 362 REAL ANALYSIS II
Three  Credits  Each       Fall (MTH 361);  Spring (MTH 362)


Rigorous development of the theory of Calculus of one variable. Topics include: properties of the real line, sequences, series, limits, continuity and uniform continuity. Additional topics from differential and integral Calculus of one or more variables. Pre-requisite: MTH 251 and MTH 262, or consent of the instructor.

MTH 364 DIFFERENTIAL EQUATIONS
Three Credits      Not Offered 2009-2010

An introduction to qualitative, quantitative, and numerical methods for ordinary differential equations. Topics include modeling with differential equations, linear and nonlinear first order differential equations, higher order linear equations and system, elementary phase plane analysis, and series solutions. Additional topics may also include existence and uniquenessof solutions, forced oscillations, Laplace  transform techniques, Fourier series, or and introduction to partial differential equations. 
Prerequisite: MTH 261 or consent of the instructor.


MTH 371 COMBINATORICS AND GRAPH THEORY
Three Credits        Alternate Years: Fall 2009, 2011

Methods for determining, given some well-defined operation, the number of ways it can be performed. Networks of dots and lines. Pre-requisite: MTH 251 or consent of the instructor.

MTH 377 NUMBER THEORY
Three Credits        Alternate Years: Fall 2010, 2012

Mathematical induction, prime numbers, Diophantine equations, congruences, sums of squares. Pre-requisite: MTH 251 or consent of the instructor.

MTH 384 THEORY OF COMPUTATION
Three Credits        Alternate Years: Fall 2010, 2012

Introduction to the general theory of computation. Formal grammars: regular, context-free, and context-sensitive languages. Formal automata: finite-state and pushdown models. Decidability. Parsing. Turing theory. The Chomsky hierarchy. (Also listed as CS 384).

MTH 393 NUMERICAL ANALYSIS
Three Credits      Not Offered  2009-2010

Both theoretical and practical problems in the computational aspects of mathematics: approximation of functions, numerical differentiation, solutions to algebraic and differential equations; topics in linear algebra. Also listed as CS 393. Pre-requisites: MTH 251 and MTH 261 or consent of the instructor.

MTH 395 PROBABILITY
Three Credits        Alternate Years: Fall 2010, 2012

Mathematical theory of probability, axioms and basic properties, random variables; continuous and discrete distributions, moments, generating
functions, special distributions, law of large numbers, central limit theorem. Use of mathematical software in applications. Pre-requisites: MTH 251 and MTH 261 or consent of the instructor.

MTH 396 STATISTICS 
(Statistical Reasoning)
Three Credits        Alternate Years: Spring 2011, 2013

Theory and application of statistics; random sampling; organization of data; descriptive statistics; sample mean and additional special
distributions, the theory of Estimators, applications of Estimation, Hypothesis Testing and Regression. Mathematical software is used in applications of Statistics. Pre-requisite: MTH 251 and MTH 261 or consent of the instructor.

MTH 399 TOPICS IN MATHEMATICS
Three Credits        Spring Semester

Possible topics include: Advanced Calculus, Complex Analysis, Dynamical Systems, Geometry, History of Mathematics, Advanced Linear Algebra, Topology.

MTH 420 SENIOR CAPSTONE: MATHEMATICAL MODELING

Four Credits   Not Offered 2009-2010

Students learn to create models of real world phenomena using mathematical tools such as difference equations, differential equations, lineal algebra, and calculus. Pre-requisites: Math Major, Senior Standing.


MTH 475 INTERNSHIP
Three Credits        Fall and Spring Semesters

Requires approval of the Department Chairperson.

MTH 490 DIRECTED STUDY
Three Credits        Fall and Spring Semesters

Opportunity for upper level students to do advanced work in a specialized area of mathematics.

MTH 496 INDEPENDENT RESEARCH
Three Credits        Fall and Spring Semesters
Students carry out an independent research project under the direction of a faculty member. The research may be part of an ongoing project being conducted by the faculty member, or the student and faculty member may develop an original project. Pre-requisite: Approval of the faculty member and the Department Chairperson.

MTH 497 SENIOR THESIS
Three Credits        Fall and Spring Semesters
 
Students complete an independent scholarly work under the guidance of a faculty member, resulting in a substantial written work. 
Prerequisite: Senior standing in the department; approval of the faculty member and the Department Chairperson.

 

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