Academic Catalog

Mathematics (MAT)

MAT 105  Intro to Algebra  (3 Credits)  

This course introduces and develops the basic concepts and skills needed for college algebra and beyond. The course contains topics that include, but are not limited to: numbers and their properties, exponents, ratios, proportion, equations and inequalities, problem solving, graphs, and polynomials. Offered as needed.

Department: Preparatory Studies  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 112  Mathematics for the Sciences  (3 Credits)  

This course includes study of the algebra of functions, rational functions, solving and graphing non-linear functions, inequalities and the complex number system, including applications to applied problems such as dose calculations and other topics of relevance to the life sciences and veterinary/medical fields. Additional topics such as matrices, sequences and series, or conic sections may be covered at the discretion of the instructor. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 105.  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 113E  Introductory Algebra  (4 Credits)  

This course reviews the structure of algebra, including numbers and their properties, exponents, equations and inequalities, polynomials, functions and graphs. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: 65  
MAT 113X  Introductory Algebra  (4 Credits)  

This course reviews the structure of algebra, including numbers and their properties, exponents, equations and inequalities, polynomials, functions and graphs.

Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: 60  
MAT 114  Intermediate Algebra  (3 Credits)  

Intermediate Algebra assumes proficiency with the techniques of basic algebra. The course includes study of the algebra of functions, rational functions, solving and graphing non-linear functions, inequalities, and the complex number system. Additional topics such as matrices, sequences and series, or conic sections may be covered at the discretion of the instructor. Offered as needed.

Essential Learning Outcomes for Medaille College: Quantitative Reasoning  
Department: Science, Mathematics Technol  
Pre-Requisites: MAT 105.  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 115  Pre-Calculus  (3 Credits)  

This course combines pertinent topics from intermediate algebra and trigonometry that are necessary as fundamentals to master subsequent course study in calculus. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 112 or 114.  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 116X  Math for Veterinary Technology  (4 Credits)  

This course emphasizes the mathematical concepts and skills used in the practice of Veterinary Technology. Topics include dosage calculations, fractions, percentages and percent solutions, utilizing metric system, dimensional analysis, scientific notation, unit conversions, equations, graphs, and logarithms as they apply to the health sciences. Emphasis will be placed on how these techniques are used in the administration of medications and treatments for patient use. Offered as needed.

Essential Learning Outcomes for Medaille College: Quantitative Reasoning  
Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 117E  Math for Applied Sciences  (4 Credits)  

This course emphasizes the mathematical concepts and skills used in the science fields. Topics covered include fractions, percentage, the metric system, dimensional analysis, scientific notation, unit conversions, equations, graphs, and logarithms. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 121E  Mathematical Applications  (4 Credits)  

This course is an introduction to the basic mathematical concepts, techniques, and applications associated with the fields of business and management. Topics include the algebra of linear equations, graphing, compound interest, set theory, and mathematical reasoning. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 121X  Mathematical Applications  (4 Credits)  

This course is an introduction to the basic mathematical concepts, techniques, and applications associated with the fields of business and management. Topics include the algebra of linear equations, graphing, compound interest, set theory, and mathematical reasoning. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 125  Concepts in Mathematics I  (3 Credits)  

This is a course in a two-semester sequence designed for Elementary Education majors and students seeking a broader understanding of the field of mathematics. Topics covered in this course include problem solving, numeration systems, arithmetic operations, fractions, and elementary number theory. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 105.  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 125E  Concepts in Mathematics I  (3 Credits)  

This is a course in a two-semester sequence designed for Elementary Education majors and students seeking a broader understanding of the field of mathematics. Topics covered in this course include problem solving, numeration systems, arithmetic operations, fractions, and elementary number theory. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 113E.  
Co-Requisites: None  
Fees: None  
MAT 126  Concepts in Mathematics II  (3 Credits)  

This is a course in a two-semester sequence designed for Elementary Education majors and students seeking a broader understanding of the field of mathematics. Topics covered in this course include decimals, ratio and proportional relationships, integers, real numbers, probability, measurement, dimensional analysis, and data analysis. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 125.  
Co-Requisites: None  
Fees: None  
MAT 126E  Concepts in Math II  (3 Credits)  

This is a course in a two-semester sequence designed for Elementary Education majors and students seeking a broader understanding of the field of mathematics. Topics covered in this course include decimals, ratio and proportional relationships, integers, real numbers, probability, measurement, dimensional analysis, and data analysis. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 125E.  
Co-Requisites: None  
Fees: None  
MAT 151  College Geometry and Trigonometry  (3 Credits)  

This course is an introductory study of the structures of Geometry and Trigonometry. Topics covered will include Trigonometric Functions, Complex Numbers, Constructions, Symbolic logics and Proofs, Synthetic and Metric Axioms, Circles, and Analytic Geometry. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 112 or 114.  
Co-Requisites: None  
Fees: None  
MAT 152  College Geometry  (3 Credits)  

This course is an introductory study of the structures of geometry. It is designed for Elementary Education majors and students seeking a broader understanding of the area of geometry. Topics covered in this course include two- and three-dimensional geometric shapes, perimeter, area, volume, congruence and similarity, coordinate geometry, and transformations. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 112 or 114.  
Co-Requisites: None  
Fees: None  
MAT 182  Discrete Mathematics  (3 Credits)  

This course is an introduction to non-continuous mathematics. Topics will include Logic, Proof, Matrices, Linear Programming, Counting, and Functions. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 115.  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 199  Math Elective  (3 Credits)  
Department: None  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 201  Statistics and Society  (3 Credits)  

An introduction to data collection and interpretation, measurement, variability, survey and experiment design, statistical summarization, and statistical inference. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 112 or 114.  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 203E  Statistics For Today's Businesses  (4 Credits)  

This course presents an introduction to data collection and interpretation, descriptive and inferential statistics, sampling, hypothesis testing, and probability distribution as they apply to business planning and decision-making. Emphasis is placed on the use of statistical software for data analyses and the ethical uses of statistics. *Note: Successful completion of this course requires a minimum grade of C for students in the Health Information Management (HIM) program. For the HIM program, a Pass/Fail grade cannot be taken for this course. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 113E.  
Co-Requisites: None  
Fees: None  
MAT 203X  Stats. for Today's Businesses  (4 Credits)  

This course presents an introduction to data collection and interpretation, descriptive and inferential statistics, sampling, hypothesis testing, and probability distribution as they apply to business planning and decision-making. Emphasis is placed on the use of statistical software for data analyses and the ethical uses of statistics. **Note: Successful completion of this course requires a minimum grade of C for students in the Health Information Management (HIM) program. For the HIM program, a Pass/Fail grade cannot be taken for this course. Prerequisites and/or Special Considerations: completion of MAT 105 or higher placement. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 113X.  
Co-Requisites: None  
Fees: None  
MAT 205E  Math For Information Systems  (4 Credits)  

This course provides a survey of college mathematics with emphasis placed on the nature of mathematics, problem solving, and thinking patterns. Topics covered will be selected from the areas of algebra, geometry, systems of numeration and unit analysis. Mathematical topics integral to computing are also covered, including Boolean logic and algorithmic analysis. Students will apply concepts to individual and group problem solving. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 205X  Math For Information Systems  (4 Credits)  

This course provides a survey of college mathematics with emphasis placed on the nature of mathematics, problem solving, and thinking patterns. Topics covered will be selected from the areas of algebra, geometry, systems of numeration and unit analysis. Mathematical topics integral to computing are also covered, including Boolean logic and algorithmic analysis. Students will apply concepts to individual and group problem solving. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 216  Survey Of Introductory Calculus And Its Applications  (3 Credits)  

This course introduces the techniques of differential and integral calculus and illustrates these ideas with practical applications from the social, managerial, and life sciences with special emphasis on business and economics. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 115.  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 250  Operations Analysis & Modeling  (3 Credits)  

This course is an introduction to the modeling of certain operational features common to business and information systems management. The focus will be on scheduling models, allocation models, queuing models, and inventory models. The models will provide mathematical information, which can be used in the decision-making processes needed to solve large-scale problems. Emphasis is on problem formulation and experimentation with “naive” methods of solution; microcomputer software will be used to solve problems representative of the real world. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: (MAT 112 or 114) and (CIS 115 or 120).  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 251  Calculus I  (3 Credits)  

Calculus I is the first course of a three semester sequence in Calculus, covering differentiation with applications, including transcendental functions.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 115.  
Co-Requisites: MAT 251L  
Fees: None  
MAT 251L  Calculus I Lab  (0 Credit)  

This course is an introduction to non-continuous mathematics. Topics will include Logic, Proof, Matrices, Linear Programming, Counting, and Functions.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 115.  
Co-Requisites: None  
Fees: None  
MAT 252  Calculus II  (3 Credits)  

Calculus II is the second of a three course sequence in Calculus. The course covers integration, including transcendental functions, methods of integration, sequences and series with applications. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 251 or 216.  
Co-Requisites: MAT 252L  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 252L  Calculus II Lab  (0 Credit)  

Calculus II is the second of a three course sequence in Calculus. The course covers integration, including transcendental functions,methods of integration, sequences andseries with applications. Threehours of lecture and one hour of lab/recitation per week. **Note: Registration for both the lecture MAT 252 and the lab MAT 252L is required.**Note: Successful completion of this course requires a minimum grade of C for students in the Adolescent Teaching: Mathematics 7-12 & Students with Disabilities program. For the Adolescent Teaching-Mathematics 7-12 & Students with Disabilities program, a Pass/Fail grade cannot be taken for this course.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 251 or 216.  
Co-Requisites: MAT 252  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 255  Theory of Numbers  (3 Credits)  

This course is an introduction to the theory of numbers. Topics will include Prime Numbers, Divisibility, Congruencies, and Powers of an Integer Modulo m, Quadratic Reciprocity, Greater Integer Function, and Diophantine Functions. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 151 and 182.  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 260  Linear Algebra  (3 Credits)  

This course is an introduction to Linear Algebra. The topics covered will include Systems of Linear Equations, Vectors and Vector Spaces, Linear Transformations, Linear Dependence, Matrices, Determinants, Basis and Dimensions, Eigenvectors and Invariant Spaces. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 251.  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 261  Calculus III  (3 Credits)  

Calculus III extends the concepts of calculus in one variable to the calculus of several variables. Course topics include: vectors in the plane and space; 3-dimensional coordinate system; vector-valued functions; differential geometry; partial differentiation; and multivariable calculus. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 252.  
Co-Requisites: None  
Fees: None  
MAT 261L  Calculus III Lab  (0 Credit)  
Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 265  Financial Maathematics  (3 Credits)  

A financial mathematics course including topics such as time value and money, annuities/cash flows with non-contingent payments, loans, bonds, general cash flows and portfolios, immunization, interest rate swaps, and determinants of interest rates. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 115.  
Co-Requisites: None  
Fees: None  
MAT 281  Statistics and Probability I  (3 Credits)  

This course introduces students to descriptive statistics, elementary probability theory and counting techniques, random variables, probability distributions, normal distributions, confidence intervals and hypothesis testing. The topics of the course will be presented at a level of depth that is appropriate to mathematics majors. Students will also learn to apply technology to problem solving in statistics. **Note: Successful completion of this course requires a minimum grade of C for students in the Adolescent Teaching: Mathematics 7-12 & Students with Disabilities program. For the Adolescent Teaching-Mathematics 7-12 & Students with Disabilities program, a Pass/Fail grade cannot be taken for this course. **Note: Registration for both lecture MAT 281 and lab MAT 281L is required. Prerequisite: MAT 115

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 115.  
Co-Requisites: MAT 281L  
Fees: None  
MAT 298  Special Topic in Mathematics  (3 Credits)  

Topic to be specified each semester course offered.

Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 342  Abstract Algebra  (3 Credits)  

The main goal of this course is to expose the student to the abstract concepts of algebra. The topics include sets, relations, mappings, groups, rings, isomorphism, homomorphism, polynomial ring, ideal, vector spaces, and linear independence. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 260* and 255*.
* May be taken concurrently.
  
Co-Requisites: None  
Fees: None  
MAT 361  Differential Equations  (3 Credits)  

A first course in ordinary differential equations from analytic, geometric, numeric, and applied perspectives (including the use of modern computational technology as appropriate). Topics include exact, separable, and linear equations; initial-value and boundary-value problems; system of first-order equations; undetermined coefficients; variation of parameters; and series solutions. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 261.  
Co-Requisites: MAT 361L  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 361L  Differential Equations Lab  (0 Credit)  
Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 381L  Statistics & Probability I Lab  (0 Credit)  
Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Fees: None  
MAT 382  Statistics and Probability II  (3 Credits)  

This course focuses on the process of statistical inference, presenting confidence intervals and hypothesis testing for two populations, chi-square procedures, linear and nonlinear regression, and one-way analysis of variance. The topics of the course will be presented at a level of depth that is appropriate to mathematics majors. Students will also apply technology to problem solving in statistics. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 281 or 201.  
Co-Requisites: MAT 382L  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 382L  Stats. & Probability II Lab  (0 Credit)  
Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 385  Probability for Actuarial Science  (3 Credits)  

A probability course with applications in actuarial science including topics such as general probability, random variables with univariate and multivariate probability distributions. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 261.  
Co-Requisites: None  
Fees: None  
MAT 398  Special Topic in Mathematics  (3 Credits)  

Topic to be specified each semester course offered.

Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None  
MAT 421  Real Variables  (3 Credits)  

This course will present the formal concepts of calculus. The topics include real numbers, one variable functions, continuity, derivatives, and Riemann integral and infinite series. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 255 and 261.  
Co-Requisites: None  
Fees: None  
MAT 442  Complex Analysis  (3 Credits)  

This course will expose the students to the useful concepts of complex numbers, complex functions and their applications. The topic includes complex number, complex plane, analytic functions, their derivatives, Cauchy integral theorem, Cauchy-Riemann differential equations, power series, and residues. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 342 and 421.  
Co-Requisites: None  
Fees: None  
MAT 445  Introduction to Probability  (3 Credits)  

This course is an introduction to probability theory, including probability axioms and rules, random variables, probability distribution functions, expected value, variance, moment generating functions, condition probabilities, and sampling distributions.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 261.  
Co-Requisites: None  
Fees: None  
MAT 450  Topology  (3 Credits)  

This course will introduce the ideas of continuity, convergence, connectedness in a topological space, metric space, knot, manifold, and surface. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 255 and 261.  
Co-Requisites: None  
Fees: None  
MAT 455  Regression Analysis  (3 Credits)  

This course is an introduction to linear regression analysis, including simple linear regression model, least-squares estimations of the parameters, multiple linear regression, simultaneous inferences and other topics in regression. A statistical software will be used for applications. Offered as needed.

Department: Science, Mathematics Technol  
Pre-Requisites: MAT 260 and 445.  
Co-Requisites: None  
Fees: None  
MAT 498  Independent Study/Mathematics  (3 Credits)  

Topic to be specified each semester course offered.

Department: Science, Mathematics Technol  
Pre-Requisites: None  
Co-Requisites: None  
Restrictions: Enrollment is limited to Undergraduate level students.  
Fees: None