Villanova Course Catalog Search Results
 MAT 1210 Mathematical Concepts
Description: Topics selected from logic, number theory, finance, set theory, geometry, applied linear algebra, calculus. Not open to students who have completed MAT 1505. 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Summer 2008 , Summer 2007 , Fall 2006 , Summer 2006

 MAT 1220 Discrete Math Social Sci
Description: Discrete mathematics for the Liberal Arts student: voting methods, weighted voting, fair division, apportionment, circuits, network, trees, directed graphs, planning and scheduling, linear programming, growth and symmetry. Not open to students who have completed MAT 1505. 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008 , Spring 2008 , Fall 2007 , Spring 2007

 MAT 1230 Intro Statistics I
Description: Displaying and summarizing data, basic probability concepts, normal distributions, sampling distributions, estimation for a single population parameter, regression and correlation. Not open to students who have completed MAT 1505. 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008 , Summer 2008 , Spring 2008 , Fall 2007

 MAT 1235 Intro Statistics II
Description: Probability concepts, hypothesis testing, inferences about means, variances and proportions, contingency tables, analysis of variance. Not open to students who have completed MAT 1505. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1230
Last Offered: Spring 2008 , Spring 2007 , Fall 2006 , Spring 2006

 MAT 1250 Stats in Health Care Research
Description: Descriptive and inferential statistics: graphical displays, estimation, & hypothesis testing. Restricted to nursing students; others by special permission only. 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008 , Spring 2008 , Fall 2007 , Spring 2007

 MAT 1260 Elementary Statistics
Description: Introduction to statistics including topics such as study design, graphical and numerical descriptive statistics, bivariate data analysis, probability, sampling distributions, confidence intervals, hypothesis testing, goodness of fit tests, analysis of variance; resampling and simulation using statistical software; interpreting output from and understanding selected algorithms used in statistical packages. Restricted to Part-Time Studies 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008 , Fall 2007 , Spring 2005 , Spring 2004

 MAT 1310 Calc Life Sci Appl I
Description: Functions, algebra of real functions, polynomials, allometric functions, exponential and logarithmic functions, trigonometric functions, graphing, log-log and semilog graphs, sequences, difference equations, limits, continuity, the derivative, the chain rule, higher order derivatives, maxima and minima, curve sketching, applications to biology. 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008 , Fall 2007 , Fall 2006 , Fall 2005

 MAT 1315 Calc Life Sci Appl II
Description: The mean-value theorem, Taylor's polynomial approximations, the anti-derivative, the definite integral, area, numerical integration, applications of the integral, techniques of integration, indeterminate forms, L'Hospital's rule,improper integrals, introduction to differential equations with applications to biological systems, numerical solutions using the computer, applications in the life sciences. 3.0 credit(s)
Restrictions: NONE
Prerequisites: (MAT 1310 or MAT 1500)
Last Offered: Spring 2008 , Spring 2007 , Spring 2006 , Spring 2005

 MAT 1320 Calculus I for Liberal Arts
Description: Calculus for Liberal Arts students: polynomial, rational and transcendental functions, the derivative, numerical and graphical introduction to integration. 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008 , Fall 2007 , Fall 2006 , Fall 2005

 MAT 1325 Calculus II for Liberal Arts
Description: Techniques of differentiation and integration, applications and further developments of calculus. 3.0 credit(s)
Restrictions: NONE
Prerequisites: (MAT 1320 or MAT 1500)
Last Offered: Spring 2008 , Spring 2007 , Spring 2006 , Spring 2005

 MAT 1330 Calculus I for Business
Description: Analysis of single variable problems: problem formulation, translation between mathematical symbols and verbal descriptions, single variable modeling with real data, rates of change, techniques of differentiation, optimazation, post-optinality analysis, continuous probability distributions, integrals, Fundamental Theorem of Calculus. 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Summer 2007 , Spring 2007 , Fall 2006 , Summer 2006

 MAT 1335 Calculus II for Business
Description: Analysis of multivariable problems: problem formulation, translation between mathematical symbols and verbal descriptions, multivariable modeling with real data, regression analysis, partial derivatives and unconstrained optimization, Lagrange multipliers and constrained optimization, matrix algebra, linear programming. 3.0 credit(s)
Restrictions: NONE
Prerequisites: (MAT 1330 or MAT 1500)
Last Offered: Fall 2007 , Summer 2007 , Spring 2007 , Fall 2006

 MAT 1340 Single Var Optim for Soc. Sci.
Description: Solving real-world problems using single-variable math models, calculus, and technology: problem formulation, translation between mathematical symbols and verbal descriptions, single variable modeling with real data, rates of change, techniques of differentiation, optimization, post-optimality analysis, continuous probability distributions, integrals, Fundamental Theorem of Calculus, applications to everyday life. 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008

 MAT 1345 Multivar Optim for Soc. Sci.
Description: Solving real-world problems using multivariable models, calculus, and technology: problem formulation, translation between mathematical symbols and verbal descriptions, multivariable modeling with real data, regression analysis, partial derivatives and unconstrained optimization, Lagrange multipliers and constrained optimization, matrix algrebra, linear programming, game theory, applications to everyday life. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1340 or MAT 1500
Last Offered:

 MAT 1500 Calculus I
Description: Limits, transcendental functions (logarithms, exponential functions, inverse trigonometric functions), differentiation (definition, tangent lines, rates of change, techniques, implicit differentiation, related rates), applications of differentiation (graphing, optimization), indeterminate forms and L'Hopital's Rule. Use of a computer algebra system, eg. MAPLE. 4.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008 , Summer 2008 , Spring 2008 , Fall 2007

 MAT 1505 Calculus II
Description: Integration (indefinite, definite), applications of integration (area, volume, applications to physics and economics, etc.), methods of integration, approximate integration (trapezoidal and Simpson's rules), improper integrals, differential equations, infinite sequences and series. Continued use of a computer algebra system. 4.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1500
Last Offered: Fall 2008 , Summer 2008 , Spring 2008 , Fall 2007

 MAT 1903 Internship Elective
Description: Internship Elective 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Spring 2008 , Fall 2007 , Spring 2007 , Fall 2006

 MAT 1906 Internship Elective
Description: Internship Elective 6.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Summer 2008 , Spring 2008 , Fall 2007 , Summer 2007

 MAT 1909 Internship Elective
Description: Internship Elective 9.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Spring 2008 , Fall 2007 , Spring 2007 , Fall 2006

 MAT 2100 Theory of Interest
Description: Interest measurements: accumulated and present value factors, annuities certain, amortization schedules, sinking funds, bonds and related securities. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1505
Last Offered: Spring 1999 , Spring 1997

 MAT 2310 Stat for Experimenters
Description: The design and analysis of experiments, probability distributions, basic statistical inference, analysis of variance, block designs and factorial designs. For social and natural science majors. 3.0 credit(s)
Restrictions: NONE
Prerequisites: (MAT 1315 or MAT 1325 or MAT 1505)
Last Offered: Fall 2004 , Fall 2003 , Summer 2003 , Fall 2002

 MAT 2500 Calculus III
Description: Parametric equations; polar, cylindrical, and spherical coordinates; vectors and the geometry of space; vector functions (derivatives, integrals, curvature, etc.); partial derivatives; optimization; multiple integration and its applications; vector calculus (line integrals, vector analysis). Continued use of a computer algebra system. 4.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1505
Last Offered: Fall 2008 , Summer 2008 , Spring 2008 , Fall 2007

 MAT 2600 Foundation of Math I
Description: Topics selected from natural numbers, mathematical induction, irrational and transcendental real numbers, complex numbers, Fundamental Theorem of Algebra, infinite cardinals, symbolic logic, functions and relations, iterated functions, mathematical chaos. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1500
Last Offered: Fall 2008 , Spring 2008 , Fall 2007 , Spring 2007

 MAT 2705 Diff Equation with Linear Alg
Description: First order and linear second order differential equations, matrices and linear equation systems, eigenvalues and eigenvectors, and linear systems of differential equations. 4.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1505
Last Offered: Fall 2008 , Summer 2008 , Spring 2008 , Fall 2007

 MAT 2930 History of Mathematics
Description: Development of mathematics from ancient times to the birth of calculus in the seventeenth century. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1505 and MAT 2600
Last Offered: Fall 2007 , Fall 2005 , Fall 2003 , Fall 2001

 MAT 2993 Internship
Description: Internship 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008 , Summer 2008 , Spring 2008 , Fall 2007

 MAT 2996 Internship
Description: Internship 6.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Summer 2008 , Spring 2008 , Fall 2007 , Summer 2007

 MAT 3300 Advanced Calculus
Description: Real numbers, sequences, convergence, supremum and infimum, completeness of the reals, continuous functions, Intermediate Value Theorem, differentiable functions, Mean Value Theorem, Riemann integral, Fundamental Theorem of Calculus, Taylor's Theorem. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2500 and MAT 2600
Last Offered: Fall 2008 , Fall 2007 , Fall 2006 , Fall 2005

 MAT 3305 Topics in Analysis
Description: Advanced topics selected from real analysis, complex analysis, or higher analysis. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 3300
Last Offered: Spring 2004 , Spring 2002 , Spring 2001 , Spring 2000

 MAT 3400 Linear Algebra
Description: Vector spaces, linear transformations, basis and dimension, orthogonal transformations, least squares, eigenvalues and eigenvectors, similarity, diagonalization, symmetric, applications. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2705
Last Offered: Fall 2008 , Spring 2008 , Fall 2007 , Spring 2007

 MAT 3500 Modern Algebra I
Description: Topics selected from groups and subgroups, cyclic groups, permutation groups, isomorphisms, direct products, cosets and Lagrange's Theorem, normal subgroups and factor groups, group homomorphisms, the Fundamental Theorem of Finite Abelian Groups, rings, fields. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2600 and MAT 2705
Last Offered: Fall 2008 , Spring 2008 , Fall 2007 , Fall 2006

 MAT 3505 Modern Algebra II
Description: Rings, subrings, integral domains, ideals and factor rings, ring homomorphisms, polynomial rings, fields, extensions fields, finite fields. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 3500
Last Offered: Spring 2008 , Spring 2006 , Spring 1999 , Fall 1996

 MAT 4110 Combinatorics
Description: Induction, permutations and combinations, general counting methods, generating functions, recurrence relations, principle of inclusion-exclusion, graph theory, trees, planarity, crossing numbers, Hamiltonian cycles, Eulerian tours. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1505
Last Offered: Spring 2005 , Fall 2002

 MAT 4270 Numerical Analysis
Description: Numerical and computational aspects of root-finding methods, interpolation and polynomial approximation, numerical differentiation and integration, approximation theory. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1505
Last Offered: Spring 2006 , Fall 1998 , Spring 1995

 MAT 4310 Stat Methods
Description: Data displays and summarization, probability distributions, point and interval estimation, hypothesis testing, categorical data analysis, regression and correlation. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1505
Last Offered: Fall 2008 , Spring 2008 , Fall 2007 , Spring 2007

 MAT 4410 Math Modeling
Description: Model formulation, the modeling process, graphs as models, examples from the physical and social sciences, parameter estimation, experimental modeling, dimensional analysis, modeling discrete and continuous dynamic behavior, implementation. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2705
Last Offered: Spring 1997

 MAT 4550 Math of Financial Derivatives
Description: Basic tools of financial markets; options; asset price random walks; estimation of parameters; arbitrage put-call parity; Black-Scholes Model; implied volatility; portfolio-optimization; hedging. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2705
Last Offered: Fall 2007 , Fall 2005 , Fall 2003

 MAT 4600 Deterministic Oper Res
Description: Deterministic methods: mathematical optimization, linear programming, formulation and solution techniques, duality, integer linear programming, transportation problem, assignment problem, network flows, dynamic programming. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2705
Last Offered: Spring 2008 , Spring 1999 , Fall 1996

 MAT 4610 Stochastic Oper Research
Description: Probabilistic methods: brief review of probability, transient and asymptotic properties of Markov chains, queuing models and their applications, Markov decision processes, forecasting, game theory, simulation. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2705
Last Offered: Fall 1997

 MAT 5110 Topics in Geometry
Description: Topics selected from affine, hyperbolic, spherical, elliptic, Euclidean or projective geometry. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2600
Last Offered: Fall 2008 , Fall 2006 , Fall 2004 , Fall 2002

 MAT 5200 Theory of Numbers
Description: Congruences, quadratic reciprocity, Diophantine equations; applications. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2600
Last Offered: Fall 2002 , Spring 1995

 MAT 5400 Complex Analysis
Description: Algebra of complex numbers, analytic functions, Cauchy- Riemann equation, Laplace equations, conformal mapping, integrals of complex functions, Cauchy's theorem, power series, Taylor's theorem, Laurent's theorem, residues, entire functions. 3.0 credit(s)
Restrictions: NONE
Prerequisites: (MAT 2500 and MAT 2600)
Corequisites:
Last Offered: Spring 2007 , Spring 2005 , Spring 2003 , Spring 2002

 MAT 5500 Topology
Description: Topological equivalence, connectedness, compactness, topology of subsets of Rn, manifolds, topological embeddings, topological spaces. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2500
Last Offered: Spring 2007 , Fall 2004 , Fall 2003 , Spring 2003

 MAT 5600 Differential Geometry
Description: Geometry of curves and surfaces, curvature, first and second fundamental forms, minimal surfaces, use of MAPLE. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2500
Last Offered: Spring 2008 , Spring 2001 , Fall 1996

 MAT 5700 Math Statistics I
Description: Probability, random variables, joint distributions, expected values, limit theorems, distributions derived from the normal distribution. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 2500 and MAT 2705
Last Offered: Fall 2008 , Fall 2006 , Fall 2004 , Fall 2001

 MAT 5705 Math Statistics II
Description: Survey sampling, parameter estimation, hypothesis testing, two sample tests, analysis of variance, analysis of categorical data, linear least squares. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 5700
Last Offered: Spring 2007 , Spring 2005 , Spring 2000 , Spring 1998

 MAT 5900 Seminar in Mathematics
Description: Supervised study of selected topics or problems in mathematics, student presentations. May be repeated for credit if content is different. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 3300 or MAT 3500
Last Offered: Fall 2008 , Spring 2008 , Fall 2007 , Spring 2007

 MAT 5920 Topics in Applied Mathematics
Description: Lecture course in an area of applied mathematics. May be repeated for credit if topics are different. 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008 , Spring 2008 , Fall 2007 , Fall 2006

 MAT 5930 Topics in Pure Mathematics
Description: Lecture course in an area of pure mathematics. May be repeated for credit if topics are different. 3.0 credit(s)
Restrictions: NONE
Prerequisites: None.
Last Offered: Fall 2008 , Spring 2008 , Fall 2007 , Spring 2007

 MAT 5991 Independent Study
Description: Reading in a selected branch of mathematics under the direction of a member of the staff. May be repeated for credit. 1.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1505
Last Offered: Summer 2008 , Summer 2007 , Summer 2006 , Summer 2005

 MAT 5992 Independent Study
Description: Reading in a selected branch of mathematics under the direction of a member of the staff. May be repeated for credit. 2.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1505
Last Offered: Fall 2007 , Fall 2006 , Fall 2005 , Spring 2005

 MAT 5993 Independent Study
Description: Reading in a selected branch of mathematics under the direction of a member of the staff. May be repeated for credit. 3.0 credit(s)
Restrictions: NONE
Prerequisites: MAT 1505
Last Offered: Fall 2008 , Summer 2008 , Spring 2008 , Fall 2007