**MAT 001 Basic Algebra**

3 credits

A course covering fundamental operations of arithmetic, algebraic expressions, solving and graphing linear equations and inequalities, exponents, polynomials, and operations with rational expressions. A knowledge of the material contained in this course is assumed by students taking MAT 111 and MAT 122. (A grade of C or higher is necessary to take any additional course in mathematics. This course is a pre-college level course and does not fulfill degree requirements.)**MAT 002 Essential College Mathematics**

3 credits

A course covering the fundamental mathematical and computational skills that students need in order to be successful in a non-algebraic course. A knowledge of the material contained in this course is assumed by students taking MAT 100, MAT 130 and MAT 150. (A grade of “C” or better is necessary to take any additional course in mathematics. This course is a pre-college level course and does not fulfill degree requirements.) **MAT 100 Mathematics Survey**

3 credits

Prerequisite: Appropriate math placement test score or a grade of C or higher in MAT 001 or MAT 002.

Students will investigate sets, logic, and problem solving.**MAT 105 Mathematical Applications**

3 credits

Topics cover ratios and proportions, personal finance, and descriptive statistics.**MAT 111 Introduction to College Algebra**

4 credits

Prerequisite: Appropriate math placement test score or MAT 001 with grade of C or higher

An introduction to algebraic topics to include properties of the real number system, polynomial and rational functions, elementary geometry, powers and roots, systems of equations, inequalities, and elementary matrix algebra. **MAT 112 Pre-Calculus Mathematics**5 credits

Prerequisite: Appropriate math placement test score or MAT 111 with a grade of C or higher

A study of topics that include: set theory, relations, functions, analytic geometry, synthetic division, logarithmic and exponential functions, trigonometric functions, and graphing techniques. . (NOTE: MAT 114 may not be taken for credit, upon completion of MAT 112.)

MAT 114 Algebra and Trigonometry

4 credits

Prerequisite: Appropriate math placement test score or MAT 111 with a grade of C or higher

A review of fundamental concepts of algebra, including systems of equations, polynomial, rational, logarithmic and exponential functions. An introduction to trigonometry, including triangle and unit circle approaches. Emphasis will be on applications of algebra and trigonometry. (NOTE: MAT 112 may not be taken for credit, upon completion of MAT 114.)

4 credits

Prerequisite: Appropriate math placement test score or MAT 001 with grade of C or higher

A study of topics that include descriptive statistics and data analysis; elementary probability; binomial, hyper geometric and normal probability models; the central limit theorem; confidence intervals; elementary hypothesis testing; linear regression; and correlation. A major goal of this course is the application of these topics to problems arising from the natural sciences, the social sciences, the health industry, and the business environment. (This course does not fulfill the statistics requirement of mathematics majors and minors.)

MAT 123 Introductory Statistics and Probability

3 credits

(AGS students only)

A study of topics that include descriptive statistics and data analysis; elementary probability; binomial, hyper geometric and normal probability models; the central limit theorem; confidence intervals; elementary hypothesis testing; linear regression; and correlation. A major goal of this course is the application of these topics to problems arising from the natural sciences, the social sciences, the health industry, and the business environment.

3 credits

Prerequisite: MAT 001 or MAT 002 with grade of C or higher or an appropriate math placement test score

A course designed to acquaint the business student with mathematical techniques used in business and common business applications of those techniques.

3 credits

Prerequisite: Appropriate math placement test score or grade of C or higher in MAT 001 or MAT 002

(This is a required course for elementary education majors.)

A course designed to examine and develop the conceptual foundation upon which elementary mathematics is built. Quantitative thinking skills are developed through applications and problem solving situations. Topics include problem-solving, sets, functions, logic, numeration systems, number theory, and basic arithmetic operations.

MAT 151 Mathematics for Elementary School Teachers II

3 credits

Prerequisite: MAT 150 with a grade of C or higher

(This is a required course for elementary education majors.)

A course designed to examine and develop the conceptual foundation upon which elementary mathematics is built. Quantitative thinking skills are developed through applications and problem-solving situations. Topics include probability, statistics, and geometry.

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 204 Special Topics

1–4 credits

A course allowing for instruction in areas not included in the regular math curriculum. Topics vary according to the expertise and interests of individual instructors.

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.

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.

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 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 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.

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.

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.

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.

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

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.

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.

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 397 Internship

1–3 credits

Prerequisite: Permission

A course designed to provide the student with field work experience through a work opportunity related to the student’s career objective. (This course will not count toward the mathematics major/minor.)

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.

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.

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.

1–3 credits

Prerequisite: Permission

A course designed to provide the student with field work experience through a work opportunity related to the student’s career objective. (This course will not count toward the Mathematics major/minor.)

Marian enrolls more than 1,600 undergraduate students and 500 graduate students (Source: Marian University Office of Institutional Research, June 2014).

Marian University

45 S. National Ave.

Fond du Lac, WI 54935-4699

1-800-2-MARIAN

(1-800-262-7426)

admission@marianuniversity.edu