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In the tradition of the Sisters of Notre Dame

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Courses

Cooperative Education

Course Prefix:
MA
Course Number:
295, 395, 495
Course Credits:
1-6

A program which enables students to receive credit for work, paid or volunteer, related to their academic studies in their major field, both to make these studies more practical and to open possibilities for employment after graduation. Prerequisite: sophomore status.

Advanced Probability and Statistics

Course Prefix:
MA
Course Number:
416
Course Credits:
3

This course will encounter topics such as sample space, discrete and continuous probability functions, special distributions, combinatorics, random variables, expected values, moment-generating functions and estimation. Prerequisites: MA 176 and MA 300.

Applied Finite Mathematics

Course Prefix:
MA
Course Number:
220
Course Credits:
3

Introduction to mathematical modeling, usage and arithmetic of matrices, linear programming, counting techniques, probability, Markov processes and the mathematics of finance. Prerequisite: MA 110 or equivalent. (Placement test required)

Calculus I

Course Prefix:
MA
Course Number:
175
Course Credits:
4

Review of functions and graphs, limits and continuous functions, the derivative, differentiation of algebraic and transcendental functions, applications, anti-derivatives, definite integrals and applications. Prerequisite: MA 120 or equivalent. (Placement test required)

Calculus II

Course Prefix:
MA
Course Number:
176
Course Credits:
4

Continuation of MA 175. The definite integral, computation of anti-derivatives, techniques of integration, the Fundamental Theorem of Calculus, applications, introduction to convergence or divergence of sequences. Prerequisite: MA 175.

Calculus III

Course Prefix:
MA
Course Number:
277
Course Credits:
3

Continuation of MA 176. Sequences, series, Taylor series, multivariable calculus, analytic geometry in R3, partial derivatives, applications of the derivative, multiple
integrals, applications of multiple integrals, vector functions and their derivatives. Prerequisite: MA 176.

Coordinating Seminar

Course Prefix:
MA
Course Number:
481
Course Credits:
1

Special topics in mathematics are explored in an interdisciplinary format. Preparation of a research paper for public presentation is required. No prerequisite. Taken in final semester before graduation.

Differential Equations I

Course Prefix:
MA
Course Number:
280
Course Credits:
3

First-order equations and applications, higher-order linear equations, linear systems, series solution of linear equations, LaPlace transform solution of linear equations and introduction to numerical methods of solution. Prerequisite: MA 277.

Differential Equations II

Course Prefix:
MA
Course Number:
410
Course Credits:
3

Infinite series, complex variables, vector analysis, Fourier series, curvilinear coordinates and partial differential equations. Prerequisite: MA 280.

Discrete Structures

Course Prefix:
MA
Course Number:
452
Course Credits:
3

Graph theory, Boolean algebras, logic, networks, structures, morphisms and finite state machines.
Prerequisite: MA 332.

Elementary Number Theory

Course Prefix:
MA
Course Number:
130
Course Credits:
3

General preparation in mathematics for elementary educators. Set theory, problem solving strategies, pattern recognition, numeration systems, number theory, properties of and operations with real numbers. Prerequisite: MA 110 or equivalent. (Placement test required)

Geometry, Probability and Statistics from an Elementary Point of View

Course Prefix:
MA
Course Number:
131
Course Credits:
3

General preparation in mathematics for elementary educators. Geometry with emphasis on shapes and measurement, transformational geometry and symmetry, logic, counting methods, permutations and combinations, an introduction to probability and statistics. Prerequisite: MA 110 or equivalent. (Placement test required)

Course Prefix:
MA
Course Number:
491, 492
Course Credits:
1-3

Intermediate Algebra

Course Prefix:
MA
Course Number:
110
Course Credits:
3

Algebraic operations, solving equations and inequalities, lines, inequalities and their graphs, introduction to conic sections, introduction to functions, exponential and logarithmic functions, systems of equations, problem solving techniques and applications. Prerequisite: MA 100 or both of the following: one unit of high school algebra and one unit of high school geometry. (Placement test required)

Introduction to Discrete Mathematics

Course Prefix:
MA
Course Number:
332
Course Credits:
3

Logic and set theory, proof techniques, relations and functions, algorithms, elementary properties of integers, counting techniques and probability. Prerequisite: MA 175 or MA 120 with department approval or MA 220 with department approval.

Introductory Algebra

Course Prefix:
MA
Course Number:
100
Course Credits:
3

Sets, real numbers, basic algebraic operations and polynomial arithmetic, factoring, linear equations and inequalities, rectangular coordinate systems, solution of linear systems, algebraic fractions, exponents and radicals, solution of quadratic equations and applications. (Placement test required)

Linear Algebra and Matrix Theory

Course Prefix:
MA
Course Number:
331
Course Credits:
3

Algebra of matrices, systems of linear equations, Gauss- Jordan reduction, inverses, discriminants, eigne values, linear spaces and subspaces, spanning sets, linear independence, basis, null space, change of basis, orthogonal bases, linear transformations, matrix representation and composition of transformation. Prerequisite: MA 176 or MA 120 with departmental approval, or MA 220 with department approval.

Math History

Course Prefix:
MA
Course Number:
350
Course Credits:
3

A study of algebra, number theory, irrational numbers, analytical geometry, the Calculus, non-Euclidean geometries and infinite sets from an historical perspective. Prerequisite: MA 120.

Modern Algebra

Course Prefix:
MA
Course Number:
432
Course Credits:
3

Groups, rings, fields, normal subgroups, congruence, quotient groups, ideals, quotient rings, equivalence relations, abstract algebraic structures. Prerequisite:
MA 332 (or corequisite).

Modern Geometry

Course Prefix:
MA
Course Number:
330
Course Credits:
3

Axiomatic foundations to Euclidean and non-Euclidean geometries and contemporary approaches to the study of geometry. Prerequisite: MA 120 or equivalent. (Placement test required)

Number Theory

Course Prefix:
MA
Course Number:
310
Course Credits:
3

Divisibility properties of integers, prime numbers, linear and quadratic congruences, Diophantine equations, special number theory functions and quadratic residue theory. Corequisite: MA 332.

Numerical Analysis I

Course Prefix:
MA
Course Number:
363
Course Credits:
3

Theory and techniques of numerical computation, interpolation by Lagrange and difference methods, numerical differentiation and integration and numerical solution of differential equations. Prerequisite: MA 176.

Numerical Analysis II

Course Prefix:
MA
Course Number:
463
Course Credits:
3

Matrix computations and solutions of linear equations, iterative solutions of systems of equations computer methods of optimization and simulations. Prerequisite: MA 280.

Precalculus Mathematics

Course Prefix:
MA
Course Number:
120
Course Credits:
3

Functions, exponential and logarithmic functions, trigonometric functions and their inverses, identities, equations and applications and analytic geometry. Prerequisite: MA 110 or equivalent. (Placement test required)

Course Prefix:
MA
Course Number:
391, 392
Course Credits:
1-3

Statistics I

Course Prefix:
MA
Course Number:
221
Course Credits:
3

Descriptive statistics, probability, normal and binomial distributions, sampling concepts, sampling distribution, estimation, hypothesis testing, confidence intervals and linear correlation. Prerequisite: MA 110 or equivalent. (Placement test required)

Statistics II

Course Prefix:
MA
Course Number:
300
Course Credits:
3

Continuation of estimation and hypothesis testing, correlation, simple and multiple regression, inferences on variances and proportions, analysis of variance (ANOVA), nonparametric tests, index numbers, time series and introduction to decision theory. Prerequisite: MA 221.