

MAT 010  Basic Math 
Noncredit math/algebra review leading to MAT 011 or MAT 103M. (Pass/Fail only) Prerequisite(s): Placement test results or permission of instructor. Every semester.
Credit: 0 


MAT 011  Basic Algebra 
Noncredit algebra review leading Intermediate Algebra, MAT 100M, MAT 120M. (Pass/Fail only) Prerequisite(s): Placement test results, MAT 010 or permission of instructor. Every semester.
Credit: 0 


MAT 100M  Introduction to Mathematics 
Introduction to some of the important concepts and ideas of mathematics from the modern point of view. A course not intended for students in business, elementary education, nor those planning to pursue further courses in mathematics or science. Every semester.
Credit: 4 


MAT 103M  Mathematical Content for Elementary School Teachers I 
This is one of two courses designed to provide elementary education, special education, early childhood, and early childhood special education majors with the mathematical content they will need. This course concentrates on ideas of numbers, sets and operations, looked at from a problemsolving perspective. Additional topics may come from geometry, statistics and probability. Prerequisite(s): Two years of high school algebra and high school geometry. Letter only. Every semester.
Credit: 4 


MAT 104M  Mathematical Content for Elementary School Teachers II 
This is one of two courses designed to provide elementary education and K3 early childhood education majors with the math content they will need. This course concentrates on geometry appropriate to the K8 curriculum, but at a difficulty level appropriate to college students. The course also incorporates significant amounts of general problemsolving. MAT 103 is not a prerequisite for this course. Letter only. Every semester.
Credit: 4 


MAT 120M  Introductory Statistics 
A general introductory course including descriptive statistics, basic probability, normal distributions, sampling distributions, confidence intervals, hypothesis testing for means and proportions, twosample ttests for means, ChiSquared tests, regression and correlation. Prerequisite(s): Two years of high school algebra. Every semester.
Credit: 4 


MAT 132M  Precalculus 
Rational, quadratic, trigonometric, logarithmic, and exponential functions are presented. Prerequisite(s): Three years of high school mathematics. Every semester.
Credit: 4 


MAT 141M  Calculus I 
Introduction to the basic concepts of limit, differentiation, and integration; study of their applications to problems in rates of change, extrema, and area between curves. Includes both rational and transcendental functions. Every semester.
Credit: 4 


MAT 142  Calculus II 
Continuation of the investigation of differentiation and integration begun in MAT 141M, examining techniques of integration, indeterminate forms, and infinite series including Taylor series. Applications studied will include volumes of solids of revolution and work. Prerequisite(s): MAT 141M with a grade of C or better. Every spring.
Credit: 4 


MAT 151M  Mathematical Proof 
This course considers the basic objects of mathematics and the methods used to elucidate their properties. Predicate logic and the theory of sets, relations, functions and the natural numbers will be discussed. The student will learn about proving properties of these objects. Prerequisite(s): Three years of high school mathematics (two years of Algebra and one of Geometry.) Letter grade. Every semester.
Credit: 4 


MAT 197  Independent Study in Mathematics 
An opportunity to pursue selected topics under the supervision of a faculty member. Prerequisite(s): Four credit hours in mathematics and permission of instructor. Varies.
Credit: 14 


MAT 220  Data Analysis 
This course is intended for those majoring in mathematics, secondary mathematics education, or computer science. The course is designed to contain the content of AP statistics, but at the deeper level required for preservice teachers. Topics covered include descriptive statistics, regression and correlation, sampling and experimentation, basic probability, normal distributions, sampling distributions, point estimation, confidence intervals, hypothesis testing for means and proportions, twosample ttests for means, chisquared tests, and possible other topics. Appropriate technology will be used. Prerequisite(s): MAT 141M or permission of instructor. Every fall.
Credit: 4 


MAT 228  Applied Statistics 
The focus of this course is determining and conducting the appropriate analysis for different types of data and various applications. Topics covered include twosample ttests, contingency tables, oneway and twoway ANOVA, multiple regression, and logistic regression. A statistical computing package will be used. This course is intended for those who are not majoring in mathematics or secondary mathematics. Students may not receive credit for both MAT 228 and MAT 328. Prerequisite(s): MAT 120M. Odd fall.
Credit: 4 


MAT 241  Calculus III 
Multivariable calculus including vectors; analytic geometry of planes, surfaces, and solids; functions of several variables and partial differentiation; multiple integrals; line and surface integrals; and Green's and Stokes' theorems. Prerequisite(s): MAT 142. Every fall.
Credit: 4 


MAT 242  Differential Equations 
An introduction to Ordinary Differential Equations focusing on first order equations, linear equations of higher order, systems of differential equations, and basic numerical methods. Other topics will be considered as time permits. Prerequisite(s): MAT 142. Even spring.
Credit: 4 


MAT 251  Linear Algebra 
Introduction to linear algebra and its applications. Topics may include matrix operations, systems of linear equations, determinants, vector spaces, linear transformations, orthogonality, eigenvalues, Markov processes, linear programming and the use of mathematical software in modeling and problem solving. Prerequisite(s): Two years of high school algebra or permission of instructor. Every spring.
Credit: 4 


MAT 277  Elementary Topics in Mathematics 
Each time this course is offered a mathematical topic will be chosen which requires college mathematical experience. The topics which will be covered will be the ones which are not covered in the regular course offerings of the division. Prerequisite(s): 8 credits in mathematics. Varies.
Credit: 14 


MAT 304  College Geometry 
This course examines Euclidean geometry of the plane in comparison with geometry on the sphere and other surfaces, examines the structure of Euclidean geometry as an axiomatic system, and looks at isometries and tiling as well as other topics in geometry such as other dimensions and trigonometry on the sphere. The historical context of geometry, the nature of geometric proof and writing to explain geometric ideas are included. Prerequisite(s): 10 credits of mathematics including MAT 141M and MAT 151M. Every spring.
Credit: 4 


MAT 313  Introduction to Abstraction 
This class is intended to introduce future elementary teachers to processes of abstract mathematical reasoning, using logic and group theory as models. Prerequisite(s): 12 credits of mathematics. Every fall.
Credit: 4 


MAT 320  History of Mathematics 
The history of mathematics from antiquity to the twentieth century, with emphasis placed on the major developments of arithmetic, algebra, and geometry. Problems will be solved in the historical context. The cultures in which mathematics developed will also be discussed. Prerequisite(s): 12 hours of mathematics including MAT 141M. Every fall.
Credit: 4 


MAT 325  Interest Theory 
A rigorous, calculusbased treatment of the Theory of Interest, including simple and compound interest, present and future value, annuities, bonds and other securities, yield rates, amortization schedules and sinking funds, yield curves, portfolios, cash flow duration, immunization, and practical applications. This course prepares students for a majority of the content on the Society of Actuaries FM examination. Prerequisite(s): C in MAT 142. Even Spring.
Credit: 4 


MAT 328  Statistical Models 
Problemformulation, estimation, inference, diagnostics and prediction using various statistical models. A statistical computing package will be used. Students may not receive credit for both MAT 228 and MAT 328. Prerequisite(s): MAT 220 and MAT 251. Odd spring.
Credit: 4 


MAT 333  Graph Theory and Combinatorics 
The two areas of Mathematics considered in this course highlight the interplay between different parts of Mathematics. The elementary and sophisticated counting methods of Combinatorics elucidate properties of Graphs while the Theory of Graphs stimulates and provides insights into counting methods. Applications to the understanding of problems are an integral part of the course. Prerequisite(s): MAT 141M. Odd spring.
Credit: 4 


MAT 352  Abstract Algebra 
An introduction to the algebraic structure of groups, rings and fields. Prerequisite(s): 12 credits in mathematics, MAT 151M and 8 credits of other mathematics courses numbered MAT 141M or higher. Every spring.
Credit: 4 


MAT 363  Mathematical Problem Solving 
A seminar course to integrate the mathematics the students have learned and to foster the improvement of their problem solving skills through work on group and individual research problems. Prerequisite(s): 32 credits in mathematics. Every fall.
Credit: 4 


MAT 371  Mathematical Probability 
An introduction to Probability using the tools learned in courses through Calculus. Combinatorial and integral methods will be used to calculate probabilities and expectations of functions of random variables. There will be discussion of Discrete and Continuous Probability Distributions including Binomial, Poisson, Normal, Gamma and Multivariate Distributions. Prerequisite(s): MAT 142. Every fall.
Credit: 4 


MAT 377  Intermediate Topics in Mathematics 
Each time this course is offered a mathematical topic will be chosen which requires college mathematical experience. The topics which will be offered will be ones which are not covered in the regular course offerings of the division. Prerequisite(s): 12 credits in mathematics. Varies.
Credit: 14 


MAT 381  Actuarial Probability 
This course provides an introduction to the basic probabilistic principles of insurance and risk management. The topics of probability theory are applied to solve problems found in insurance and risk management applications. A problem solving approach will be adopted to provide preparation for Exam P/1, the first actuarial exam. Prerequisite(s): MAT 371 at UMF, or a calculusbased probability course from a different university. Odd spring.
Credit: 4 


MAT 396  Internship in Mathematics 
This course provides the student with an indepth experience in practical applications in mathematics. The experience may include work for a social or governmental agency or for business or industry. Proposals should be developed in consultation with a faculty member and submitted in writing to the division chair for approval. At the conclusion of the work period, the student submits a comprehensive report on the experience to the supervising faculty member. The course may be repeated for up to a total of 16 credits; each repetition must be a different proposal. Credits will generally reflect 32 work hours for each credit. Prerequisite(s): Approval of the supervising faculty member and the Division Chairperson. (Pass/Fail only) Every semester.
Credit: 116 


MAT 397  Independent Study in Mathematics 
An opportunity to pursue independent study in a selected mathematics topics under the direction of a faculty member. Varies.
Credit: 14 


MAT 404  Real Analysis 
This course is a rigorous reexamination of the calculus of a single variable. Topics include the structure of the real numbers, limits, continuity, differentiation, sequences, series, and integration. Prerequisite(s): MAT 142 and MAT 151. Odd fall.
Credit: 4 


MAT 477  Advanced Topics in Mathematics 
Each time this course is offered, an advanced mathematical topic will be chosen which requires extensive college mathematics experience. The topics which will be covered will be ones which are not covered in the regular course offerings of the division. Prerequisite(s): 16 credits in mathematics including MAT 141M. Varies.
Credit: 14 


MAT 497  Independent Study in Mathematics 
An opportunity to pursue independent study in a selected mathematics topics under the direction of a faculty member. Prerequisite(s): 20 hours of mathematics and permission of instructor. Varies.
Credit: 14 


