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Mathematics Course Descriptions

26 credits:

MAT 201   Calculus I
5 credits
Prerequisite: Appropriate math placement test score or MAT 112 with a grade of C or higher
A first course in the calculus treating functions of one variable. Topics include limits, continuity, derivatives, and integrals of polynomial and rational functions. A major emphasis of this course is the application of these concepts to problems arising out of industry, economics, business, and the sciences.

MAT 202  Calculus II
5 credits
Prerequisite: Appropriate math placement test score or MAT 201 with a grade of C or higher
A continuation of MAT 201. Topics include the study of transcendental functions, techniques of integration, analytic geometry, polar coordinates, parametric equations, sequences, and series.

MAT 212   Introduction to Abstract Mathematics
3 credits
Prerequisite: Appropriate math placement test score or MAT 201 with a grade of C or higher
A survey course designed to acquaint the prospective mathematics student with topics and techniques common to the study of advanced mathematics such as algebra, analysis, geometry, and statistics. Major topics of the course include symbolic logic, methods of proof, set theory, relations, functions, and structure in mathematics. Examples will be drawn from various branches of mathematics to illustrate the topics presented.

MAT 301   Calculus III
4 credits
Prerequisite: MAT 202 with a grade of C or higher
A continuation of MAT 201/202. Topics include vectors in Cartesian two-and three-dimensional spaces, functions of several variables, partial differentiation, multiple integration, and elementary differential equations.

MAT 304   Introduction to Mathematical Statistics I
3 credits
Prerequisite: Appropriate math placement test score or MAT 201 with a grade of C or higher
A study of elementary probability theory, discrete and continuous random variables, the Central Limit Theorem, sampling theory, estimation, confidence intervals, and hypothesis testing.

MAT 334   Linear Algebra
3 credits
Prerequisite: MAT 212 with a grade of C or higher
A study of vector spaces, determinants, linear transformations, matrices, linear independence and bases, systems of linear equations, and elementary linear programming techniques. The course emphasizes the application of these topics to problems selected from business, industry, and the sciences.

MAT 344   Abstract Algebra
3 credits
Prerequisite: MAT 212 with a grade of C or higher
A study of set theory, mappings and algebraic structures to include groups, rings, integral domains, fields, homomorphisms and isomorphisms, theorems of Cayley and Lagrange, and characteristic properties of the rational, real, and complex fields.

3 credits from the following:

TEC 212   Computer Programming I
3 credits
Programming in an Algebraic Programming Language, if-then-else, loops, arrays, concepts of machine language, algorithms for searching, sorting and equation-solving. (A college course in math is highly recommended before taking TEC 212.)

TEC 223   Visual Programming I
3 credits
An introductory programming course involving current, available visual programming techniques and languages. Course curriculum will be continually revised to reflect ongoing changes in the field.

TEC 280   Introduction to Programming and Data Structures
3 credits
This course will introduce fundamental concepts related to the creation of data structures and programming logic in modern information systems. This course will introduce the importance data organization in computer systems; the variety of possible structures used to represent data relationships, how data structures are stored in memory, and the link between the design of data structures and programming algorithms.

12 credits from the following:

MAT 302   Complex Variable Calculus
3 credits
Prerequisite: MAT 301 with a grade of C or higher
Theory of functions of one complex variable, derivatives, elementary functions, conformal mappings with applications to boundary value problems, integrals, power series, residue theory, and its applications to various topics.

MAT 305   Introduction to Mathematical Statistics II
3 credits
Prerequisite: MAT 202, MAT 304 with a grade of C or higher
A continuation of MAT 304. Topics will include one- and two- factor analysis of variance, linear, nonlinear and multiple regression, and correlation. Included in this discussion are analysis of residuals, selection of explanatory variables and some corresponding nonparametric tests. Extensive use of computer statistical packages will be used to reinforce the course topics and objectives.

MAT 314    Modern Geometry
4 credits
Prerequisite: MAT 212 with a grade of C or higher
An introduction to modern axiomatic Euclidean and non-Euclidean geometries. Other topics of study may include advanced Euclidean synthetic and coordinate geometry and geometric transformations.

MAT 324   Theory of Numbers
3 credits
Prerequisite: MAT 212 with a grade of C or higher
A development of such topics as the prime numbers, divisibility, the Euclidean algorithm, diophantine equations, congruence, number theoretic functions, and quadratic reciprocity.

MAT 354   Differential Equations
3 credits
Prerequisite: MAT 301 with a grade of C or higher
A course covering ordinary differential equations of the first and second order. Topics will include existence and uniqueness theorems, initial value problems, series methods, and systems of equations. A major focus of the course is the application of these concepts to problems arising from physics, engineering, chemistry, biology, physiology and economics. Additional topics may include boundary value problems, nonlinear systems, and related applications.

MAT 364   Numerical Analysis
3 credits
Prerequisite: MAT 202 with a grade of C or higher, TEC 212
A survey course in numerical mathematics with topics selected from numerical techniques of solving equations, interpolation and polynomial approximation, numerical differentiation and integration, and numerical solutions to systems of linear equations. Extensive use of the computer (including student- generated programs) will be used to reinforce the course topics and objectives.

MAT 374   Combinatorics
3 credits
Prerequisite: MAT 202 and MAT 212 with a grade of C or higher
An introduction to Combinatorics that includes set theory, mathematical induction, integers, functions and relations, counting methods, recurrence relations, generating functions, permutations, combinations principles of inclusion and exclusion, and graphs (including planar graphs).  Additional topics may include graph coloring, trees and cut-sets, combinatorial designs and Boolean algebra. 

MAT 384   Graph Theory
3 credits
Prerequisite: MAT 334 with a grade of C or higher
Study of the structure and properties of graphs, together with a variety of applications. Topics include paths, cycles, trees, connectivity, matchings, colorings, planarity, directed graphs, and algorithms

MAT 401   Theory of Real Variables I
3 credits
Prerequisite: MAT 212 and MAT 301 with a grade of C or higher
A study of the structure of real and complex number systems, metric spaces, limits, continuity, and differentiation.

MAT 402   Theory of Real Variables II
3 credits
Prerequisite: MAT 401 with a grade of C or higher
A continuation of MAT 401. The course topics include Riemann integration, series of numbers and functions, and series expansion.

MAT 404   Special Topics
1-4 credits
(Mathematics majors only)
Prerequisite: Permission
A course providing the opportunity to study topics in mathematics not covered in other courses. Possible topics include complex analysis, history of mathematics, logic, numerical analysis, geometry and probability theory. This course may be repeated for different topics. Note: a maximum of 6 credits from courses MAT 404 and/or MAT 414 may apply toward a mathematics degree. 

MAT 410   Topology
3 credits
Prerequisite: MAT 212 and MAT 301 with a grade of C or higher
An introduction to the fundamental concepts of point set topology. Topics are chosen from: general topological spaces, functions and continuity, open and closed sets, neighborhoods, homeomorphism, properties of topological spaces, subspaces, products, and quotients. Emphasis will be placed on proofs and examples, with particular attention given to metric spaces.

MAT 412   Introduction to Operations Research
3 credits
Prerequisite: MAT 334, MAT 304, MAT 301 with a grade of C or higher
Course topics will include linear and nonlinear programming, dynamic programming, and network analysis (including PERT/CPM). Additional course topics will be selected from integer programming, queuing theory, Markov processes, decision analysis, statistics, and simulation, based on student and instructor interest.

MAT 414   Independent Study
1-3 credits
Prerequisite: Permission
This course provides the student with an opportunity to do an in-depth independent study of a topic or problem in mathematics. This course may be repeated for different topics. Note: a maximum of six credits from courses MAT 404 and/or MAT 414 may apply toward a mathematics degree.

Ranch

Fun Fact

The students' most favorite condiment is Ranch Dressing (Source: Sodexo Sales as of June 2014).

Campus Info

Marian University
45 S. National Ave.
Fond du Lac, WI 54935-4699

1-800-2-MARIAN
(1-800-262-7426)
admission@marianuniversity.edu

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