Courses

Course Code Credits

Pre Calculus

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. Limited to 25.

MTH101 3

Finite Mathematics

Matrices, Counting, Probability, Markov Chains, Linear Programming, Simplex Method and Mathematics of Finance. Limited to 25.

MTH105 3

Applied Calculus for Business

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 may not receive credit for both MTH 125 and MTH 119. Limited to 25.

MTH119 3

Calculus I

Calculus of a single variable: functions, limits, derivatives, differentiation rules, applications of derivatives, integrals, techniques of integration, applications of integration, infinite sequences and series, first and second order differential equations. Students may not receive credit for both MTH 125 and MTH 119. Limited to 25.

MTH125 4

Calculus II

Calculus of a single variable: functions, limits, derivatives, differentiation rules, applications of derivatives, integrals, techniques of integration, applications of integration, infinite sequences and series, first and second order differential equations. Pre-requisite: MTH 125. Limited to 25.

MTH126 4

Mathematical Reasoning for Education

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. Limited to 25.

MTH143 3

Basic Quantitative Techniques

Basic methods of data analysis: organizing and summarizing data, probability, probability distributions, statistical inference. Limited to 25.

MTH145 3

The Language of Mathematics

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. Pre-requisite: MTH 126. Limited to 25.

MTH191 4

The Non-Euclidean Revolution

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. Limited to 25.

MTH193 3

Statistical Reasoning: Chance

An introduction to the ideas and issues of probability and statistics and their application in everyday life. Topics include: experiment design, descriptive statistics, chance and inference. Limited to 25.

MTH207 3

Statistics for Science

Probability; descriptive statistics; normal distribution, inference; hypothesis testing; analysis of variance; sampling theory; correlation and regression. Examples from the sciences. Pre-requisite: MTH 119 or MTH 125. Limited to 25.

MTH225 3

Linear Algebra

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. Pre-requisite: MTH 261. Limited to 25.

MTH251 4

Multivariable Calculus

Continuation of the sequence begun in Calculus I and II. Functions of several variables, analytic geometry, vectors, partial derivatives, multiple integration. Learning Community: must also take LC 235 and PHY 221. Pre-requisite: MTH 126. Limited to 25.

MTH261 4

Discrete Mathematics

Sets operations, Countability, Functions, Number Theory, Equivalence Relations, Recurrence Relations, Graphs, Combinatorics, Probability. Pre-requisites: MTH 191. Limited to 25.

MTH270 3

Abstract Algebra I

Groups, rings, fields, rings of polynomials, extension fields, automorphisms of fields, splitting fields, Galois theory. Pre-requisite: MTH 270. Limited to 25.

MTH351 3

Abstract Algebra II

Groups, rings, fields, rings of polynomials, extension fields, automorphisms of fields, splitting fields, Galois theory. Pre-requisite: MTH 351. Limited to 25.

MTH352 3

Real Analysis I

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-requisites: MTH 191 and MTH 261. Limited to 25.

MTH361 3

Real Analysis II

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 361. Limited to 25.

MTH362 3

Modern Geometry

The axiomatic approach of Hilbert to Euclid's Elements. Geometry from the viewpoint of rigid transformations. Non-Euclidean Geometry. The roles of coordinates, both global and local. Geometrizations of low dimensional manifolds. Pre-requisites: MTH 251 and MTH 261. Limited to 25.

MTH363 3

Differential Equations and Dynamics

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 uniqueness of solutions, forced oscillations, Laplace transform techniques, Fourier series, or and introduction to partial differential equations. Pre-requisite: MTH 261. Limited to 25.

MTH364 3

Combinatorics & Graph Theory

Methods for determining, given some well defined operation, the number of ways it can be performed. Networks of dots and lines. Pre-requisite: MTH 270. Limited to 25.

MTH371 3

Number Theory

Mathematical induction, prime numbers, Diophantine equations, congruences, sums of squares. Pre-requisite: MTH 251 and MTH 270. Limited to 25.

MTH377 3

Theory of Computation

[Also listed as CSC 384] Introduction to the general theory of computation. Formal grammars: regular, context-free, and context-sensitive languages. Formal automata: finite-state and pushdown models. Decidability. Turing Machines. The Chomsky hierarchy. NP-Completeness and Complexity Theory. Pre-requisite: CSC 201. Cross-listed with the Computer Science Department as CSC 384. Limited to 25.

MTH384 3

Numerical Analysis

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. Pre-requisites: MTH 251 and MTH 261. Cross-listed with the Computer Science Department as CSC 393. Limited to 25.

MTH393 3

Probability

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. Limited to 25.

MTH395 3

Statistics

Continuation of MTH 395. 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 395. Limited to 25.

MTH396 3

Topics in Mathematics

Limited to 25.

MTH399 3

Senior Capstone: Mathematical Modeling

Students learn to create models of real world phenomena using mathematical tools such as difference equations, differential equations, lineal algebra, and calculus. Open to senior Mathematics majors.

MTH420 4

Internship in Mathematics

Requires approval of the Department Chair. Limited to 25.

MTH475 3

Directed Study

Opportunity for upper level students to do advanced work in a specialized area of mathematics. Students must obtain the signatures of the faculty director and the Department Chair. Limited to 25.

MTH490 3