Mathematics (Major, Minor)
Mathematics, Physics, and Computer Studies Department
Alexandra L. Chaillou, Ph.D., Chair
Charles Buehrle, Ph.D.
Kristyanna Erickson, Ed.D.
Brian Christy, Ph.D.
Degrees offered
Major
Minor
Minor
Campuses
Main Campus
Mathematics students develop critical thinking skills, becoming analytical thinkers and problems solvers. They learn to use mathematical software and technologies, to problem solve, to communicate mathematically through proofs, data analysis, and programming, and to relate mathematics to a variety of other disciplines. Each student completes a capstone project that includes an essay reflecting on her growth as a mathematician and her expanded understanding of the discipline, as well as a presentation of an independent project of her choosing.
Built on the recommendations of the Mathematical Association of America's Committee on Undergraduate Programs in Mathematics, the goals of the Mathematics Program of Study are:
- develop mathematical thinking and communication skills;
- develop skills with a variety of technologies; and,
- develop a broad view of the mathematical sciences.
Summary
Women's College
The Mathematics/Physics/Computer Science Department of the College of Arts, Sciences, and Business offers a Major or Minor in Mathematics to students in the Women's College. Students may also prepare for teaching mathematics through the secondary certification program. Recognizing the role our fields plays in other disciplines, we offer courses for department majors and non-majors that serve the students of NDMU in the Catholic Liberal Arts tradition. As an integral part of the liberal arts, we provide the students at NDMU with an understanding of the physical world, quantitative and technologically based knowledge, and enable our students to become leaders in their future professions.
Mathematics Majors have completed graduate study at institutions such as University of Maryland Baltimore County, University of Maryland College Park, Boston College, Drexel University, George Washington University and Rochester University. Program graduates have positions with organizations such as CareFirst BlueCross BlueShield of Maryland, Aberdeen Proving Ground, the National Security Agency, Lockheed Martin Information Technologies, Arbitron and the Federal Bureau of Investigation.
Mathematics Majors often choose a Minor such as Computer Science, Business, Accounting or Physics. Recent students have successfully completed double majors such as Mathematics/Physics, Mathematics/Biology, Mathematics/Chemistry, and Mathematics/Art.
The General Education Requirement in Mathematics is normally fulfilled by a variety of 100- or 200-level Mathematics courses.
Students must earn a minimum Cumulative Grade Point Average of 2.0 in all courses taken to complete the requirements of the math Major.
Programs of Study
Required Courses for a Major in Mathematics (Credits)
MAT-110 Discrete Mathematics (3)
CST-171 Programming Concepts or CST-295 C++: Object Oriented Programming (3)
MAT-211, 212, 213 Calculus I, II, III (11)
MAT-243 Linear Algebra (3)
MAT-301 Abstract Algebra (3)
MAT-303 Analysis (3)
MAT-311 Theory of Probability (3)
MAT-425 Simulation and Modeling (3)
MAT-455 History of Mathematics (3)
In addition to required courses, at least three electives from the following:
MAT-215 Basic Statistics (3)
MAT-305 Geometry (3)
MAT-307 Numerical Analysis (3)
MAT-309 Number Theory (3)
MAT-315 Differential Equations (3)
MAT-406 Complex Variables (3)
Recommended:
PHY-101, 102 General Physics I, II (8)
Mathematics Capstone Experience
The Capstone Experience for each student majoring in Mathematics is twofold. In her final spring semester at the University, each Major writes an essay reflecting on her growth as a mathematician and on her expanded understanding of the discipline of mathematics. In addition, in consultation with her faculty advisor, each Major develops a poster or presentation on a topic selected from one or more of her courses, or the selected topic may be related to an internship experience. This poster should extend the topic beyond the coverage of the course(s) or internship.
The spring mathematics capstone poster presentation is open to interested faculty, students and guests as a celebration of each student's work and achievements.
Mathematics/Secondary Education Certification—Approved Program in Mathematics
Students who wish to prepare for teaching in secondary schools complete the courses listed in the Program of Concentration in Mathematics, except that the following three elective courses—MAT-215 Basic Statistics, MAT-305 Geometry and MAT-309 Number Theory—are required, along with the professional education courses offered by the School of Education.
Minor in Mathematics
MAT-211, 212 Calculus I, II (8)
MAT-243 Linear Algebra (3)
Three other courses in Mathematics from among MAT-110 and 200-level or higher courses, except MAT-214 Calculus of Vector Fields
Four-Year Plan
Below is a sample Program of Study for the Mathematics Major. Students should select courses with the assistance of a faculty advisor.
| Fall | Spring | ||
|---|---|---|---|
| First year | |||
| MAT-211 Calculus I | 4 | MAT-212 Calculus II | 4 |
| ** MAT-110 Discrete Mathematics | 3 | CST-171 Programming Concepts+ | 3 |
| NDMU-100 First Year Seminar | 3 | General Education/Electives | 9 |
| General Education/Electives | 6 | [16 credits] | |
| [16 credits] | |||
| Second year | |||
| CST-295 C++: Object Oriented Programming+ | 3 | MAT-243 Linear Algebra | 3 |
| MAT-213 Calculus III | 3 | MAT-215 Basic Statistics | 3 |
| PHY-101 General Physics I (recommended) |
4 | PHY-102 General Physics II (recommended) |
4 |
| General Education/Electives | 6 | General Education/Electives | 6 |
| [16 credits] | [16 credits] | ||
| Third or fourth year: odd fall, even spring years | |||
| **MAT-311 Theory of Probability | 3 | **MAT-303 Analysis | 3 |
| MAT-307 Numerical Analysis | 3 | *MAT-305 Geometry | 3 |
| General Education/Electives | 9 | **MAT-425 Simulation & Modeling | 3 |
| [15 credits] | General Education/Electives | 6 | |
| [15 credits] | |||
| Third or fourth year: even fall, odd spring years | |||
| **MAT-301 Abstract Algebra | 3 | *MAT-309 Number Theory | 3 |
| * MAT-406 Complex Variables | 3 | *MAT-315 Differential Equations | 3 |
| General Education/Electives | 9 | **MAT-455 History of Mathematics | 3 |
| [15 credits] | General Education/Electives | 6 | |
| [15 credits] | |||
+ One of these two courses is required.
* Cycled elective course.
** Cycled required course.
Courses
CST-171 Programming Concepts
Introduces computer programming using a common small business language such as Microsoft Visual Basic. Emphasizes programming structures such as decisions, repetitions, sub procedures, functions, and arrays using structured program design with object-oriented concepts. Students learn to write a variety of program types to meet various business needs. Satisfies the technological competency requirement. [3 credits]
CST-295 C++ Object-Oriented Programming
Introduces object-oriented programming including objects, classes, inheritance and polymorphism. Includes high-level structures such as pointers and arrays as well as data structures with stacks and queues. Prerequisite: CST-171 or MAT-211. Satisfies the technological competency requirement. [3 credits]
IDS-100 Perspectives on Education and Culture
Assists first-year students in making a successful transition to college life. The course has three overlapping themes: becoming an intentional learner, becoming a Notre Dame woman, and acquiring global and intercultural fluency. Each student will examine and reflect upon various aspects of her life, including her relationship to other students, the institution and the community (understanding culture, appreciating diversity). Students will have the opportunity to develop personal, academic, and leadership skills and habits that will enhance their college experiences and promote lifelong learning. Required for first-year traditional age students and transfer students with fewer than 12 credits. [3 credits]
MAT-100 Algebra Applications
Combines algebra preparation and applied algebra, designed to develop students' critical thinking and quantitative reasoning skills needed to understand everyday issues. Provides a thorough study of linear equations and functions as well as an exploration of a variety of nonlinear functions. Data analysis and mathematical modeling focus on real world problems from a variety of fields including science, finance and business. Graphing calculator is used throughout the course. Students meet five times a week in 50-minute classes. Satisfactory completion is a prerequisite for MAT-215, Statistics or MAT-107, Elementary Functions. Available to Women's College students only. Satisfies the general education requirement in mathematics. [ 4 credits ]
MAT-103 Applied Algebra
Focuses on fundamental algebraic concepts and the solution of real world problems through the use of basic mathematical models. Provides a thorough study of linear functions as well as an exploration of a variety of nonlinear functions. Data analysis and mathematical modeling focus on real world problems from a variety of fields including science, finance and business. Graphing calculator is used throughout the course. Intended for students of science, finance and business who have limited algebraic skills. The course may be taken to prepare for MAT-107 Elementary Functions or MAT-215 Basic Statistics. Prerequisite: minimum of ne year of high school algebra. Satisfies the general education requirement in mathematics. [3 credits]
MAT-105 Exploring Math I
MAT-106 Exploring Math II
MAT-107 Elementary Functions
Provides preparation for study of calculus, and is also designed for pre-service elementary educators with a strong interest in mathematics. Covers polynomial, exponential, logarithmic and trigonometric functions and their applications. Graphing calculator is used throughout the course. Prerequisite: Successful completion of two years of high school algebra. Fulfills the general education requirement in mathematics. [3 credits]
MAT-109 A Short Course in Calculus
Introduction to the tools of calculus: the derivative and the integral. Applications in the life, social and behavioral sciences.
MAT-110 Discrete Mathematics
Introduces topics that find their applications in the field of computers and computing. Topics include: logic, proof, graphs, trees and counting techniques. This course is designed for mathematics majors, computer studies majors and students with a particular interest in mathematics. [3 credits]
MAT-112 Mathematics for Business
Incorporates activities filled with various business mathematics calculations. Included are payroll, merchandise pricing, calculations of interest on loans or credit sales with various types of discounts, calculations of ways of determining insurance premiums, inventory valuation, depreciation, property taxes, interest-bearing investments and a wide range of other calculations. Fulfills general education requirement in mathematics. [ 3 credits ]
MAT-115 Finite Mathematics
Covers solving systems of linear equations, matrices, linear programming, Markov chains, basic counting techniques and probability rules. Emphasis is on the application of the techniques studied. Intended for a variety of majors, pre-service elementary educators with a strong interest in mathematics and others interested in these topics. Fulfills the general education requirement in mathematics. [ 3 credits ]
MAT-120 Sets, Logic and Numbers
Covers basic set theory and Venn diagram applications, an introduction to formal logic and valid argument forms, elementary number theory, and the arithmetic of integers and the rational numbers. Intended for pre-service elementary educators and others interested these topics. [3 credits]
MAT-121 Geometry and Graphs
Covers properties of angles, lines, triangles and quadrilaterals, constructions with a variety of tools, perimeter, area, volume and qualitative graphs. Intended for pre-service elementary educators and others interested in these topics. [3 credits]
MAT-122 Counting, Chance & Statistics
Covers fundamental counting rules and basic probability as well as the collection, analysis and interpretation of data. Statistical content includes sampling and experimental design, numerical and graphical presentation of data, regression lines and use of the normal curve. Intended for pre-service elementary educators and others interested in an introduction to statistics (possibly before taking MAT-215, BUS-215 or BUS-225). This course may not be taken after successful completion of MAT-215, BUS-215 or BUS-225. Fulfills the general education requirement in mathematics. [3 credits]
MAT-125 Elementary Mathematical Models
Includes the application of linear, quadratic, exponential and mixed models to real world problems. Models are investigated numerically and graphically as well as algebraically. Graphing calculator is used throughout the course. Intended for pre-service elementary educators and others interested in these topics. Fulfills the general education requirement in mathematics. Prerequisite: minimum of one year of high school algebra. [3 credits]
MAT-199 DA Mathematics
Degree Audit
MAT-211 Calculus I
Introduces functions, limits, continuity, differential calculus of polynomial, rational, exponential and logarithmic functions, as well as basic integration techniques. Applications are considered throughout the course with an emphasis on the life sciences. Weekly laboratory is an integral part of the course. Graphing calculators used to explore topics covered. Fulfills the general education requirement in mathematics Prerequisite: strong high school algebra background or successful completion of MAT-107. [4 credits]
MAT-211L Lab: Calculus I
MAT-212 Calculus II
Studies trigonometric functions, integration by parts and tables, improper integrals, functions of two variables, partial derivatives, double integrals, differential equations, geometric and power series, basic convergence tests, Taylor polynomials and series, and Fourier polynomials and series. Applications are considered throughout the course with an emphasis on the life sciences. Weekly laboratory is an integral part of the course. Graphing calculator is used to explore topics covered. Prerequisite: Calculus I or placement into MAT-212. [4 credits]
MAT-212L Lab: Calculus II
MAT-213 Calculus III
Covers visualization of functions of two variables, contour graphs, vector geometry, partial derivatives, gradient vector, directional derivatives, constrained optimization, double integral in rectangular and polar coordinates, triple integrals in rectangular, cylindrical and spherical coordinates. Applications are considered throughout the course. Mathematica is used to explore topics covered. Prerequisite: Calculus II or placement into MAT-213. [3 credits]
MAT-214 Calculus of Vector Fields
Analyzes parametric curves and surfaces, vector fields, line integrals and their applications, the Fundamental Theorem of Line Integrals, Green's Theorem, flux integrals, divergence and curl, Stokes' Theorem and the Divergence Theorem. Mathematica is used to explore topics covered. Prerequisite: Calculus III. [1 credit]
MAT-215 Basic Statistics
Introduces the basic ideas of statistics: descriptive statistics, central tendency variability, probability distributions, sampling, estimation, hypothesis testing, correlation and regression, multinomial experiments, contingency tables and analysis of variance. A statistical software package is used. Designed for students in a variety of fields that rely on regular statistical analysis in decision-making. Fulfills general education requirement in mathematics. Prerequisite: A strong algebraic background or successful completion of MAT 100 or MAT 103 is recommended. [3 credits]
MAT-219 Ethnomathematics
MAT-243 Linear Algebra
Studies systems of linear equations and their respective solution set. Material covered has use in such fields as physical and biological science, business, economics, computing and cryptography. Topics include matrices, vector spaces, linear transformations, determinants, eigenspaces and approximation techniques. Prerequisite: MAT-110 or MAT-211. [3 credits]
MAT-301 Abstract Algebra
Considers groups, rings and fields with emphasis on group theory. Topics include modulo groups, cyclic groups, permutation groups, rings, integral domains and fields, isomorphism and homomorphism, and the Fundamental Theorem of Homomorphism for groups and rings. Prerequisite: MAT-243. [3 credits]
MAT-303 Analysis
Introduces the theory that underlies the Calculus. Topics include cardinality, the Completeness Axiom and the topology of the real numbers, convergence of sequences, limits and continuity, the derivative and the Mean Value theorem, convergence of infinite series, sequences and series of functions. Prerequisite: MAT-213. [3 credits]
MAT-305 Geometry
Explores several different geometries. Included are ways of classifying geometries by sets of axioms or by the type of transform defined. Finite geometries, projective geometry, non-Euclidean geometries, topology and the geometry of inversion are investigated. Designed for mathematics majors or educators to be certified to teach secondary mathematics. Geometers Sketchpad or Geogebra is used throughout the course. Prerequisite: MAT-212. [3 credits]
MAT-307 Numerical Analysis
Introduces numerical methods. Topics include: numerical linear algebra, interpolation, numerical differentiation and integration, solution of nonlinear equation, numerical treatment of differential equations, and error analysis. Intended for mathematics, physics and engineering majors. Makes use of a mathematical software package such as Mathematica. Prerequisite: MAT-212. [3 credits]
MAT-309 Number Theory
Considers divisibility and unique factorization, congruencies and the Chinese Remainder Theorem; Diophantine Equations; Fermat's, Wilson's and Euler's theorems; perfect numbers; Pythagorean triples; primitive roots; and quadratic congruencies. Designed for mathematics majors or educators to be certified to teach secondary mathematics. Prerequisite: MAT-212. [3 credits]
MAT-311 Theory of Probability
Analyzes combinatorial methods; probability and sample spaces; random variables and their distributions (discrete and continuous); moment generating functions; and the relation between probability and statistics. Probability exposes students to the diverse possible applications in such fields as mathematics, science, engineering, psychology, social sciences and management science. Prerequisite: MAT-212. [3 credits]
MAT-315 Differential Equations
Introduces the solution, applications and theory of ordinary differential equations. Topics include: solutions of differential equations, initial value problems, boundary value problems, Laplace transforms and series solutions. Prerequisite: MAT-212. [3 credits]
MAT-351 Readings in Mathematics
Selected readings in mathematics. Discussion of selected topics drawn from current literature.
MAT-403 Introduction to Topology
Study of the fundamental principles of topology, emphasizing the geometric nature of topology. Topics included are topological spaces, continuity, topological equivalence, connectedness, compactness, separation properties, metrization, subspaces, product spaces and quotient spaces. Prerequisite: MAT 212. 3 credits.
MAT-406 Complex Variables
Introduces the theory and applications of functions of complex variables. Topics include: powers and roots, analytic functions, contour integrals, Taylor and Laurent series, singularities and residues. Intended for mathematics, physics and engineering majors. Prerequisite: MAT-213. [3 credits]
MAT-411 Topics in Mathematics
MAT-425 Simulation and Modeling
Considers mathematical models and their applications. Emphasizes model constructions to promote student creativity and to demonstrate the artistic nature of model building, including the ideas of experimentation and simulation. Prerequisite: MAT-212. [3 credits]
MAT-441 Algebraic Structures I
MAT-455 History of Mathematics
Focuses on the historical development of modern mathematics. Basic research techniques are reviewed. A research paper on an issue of significance in mathematics or a scholar important to the development of the field is required. Students develop oral presentations about their research. Prerequisite: MAT-212. [3 credits]
MAT-456 History of Mathematics
The study of the great ideas of mathematics and those who proposed them lead to an appreciation of the role mathematics has played in society. The essential relationships between its various branches become evident. Research paper required.
MAT-463 Directed Study in Mathematics
Supports guided study of special current topics of interest to the student and approved by the instructor. Prerequisite: MAT-212. [1, 2 or 3 credits]
MAT-501 Number and Operations for the Middle School Educator
An integration of the study of the rational numbers with reflection on the teaching and learning of arithmetic concepts in the spirit of the NCTM?s Principles and Standards of School Mathematics. Mathematical content includes rational numbers and their fundamental algorithms, the place of the rational numbers in the real number system, scientific notation as a means of expressing very large and very small numbers and number theory topics appropriate for the middle school. [ 3 credits ]
MAT-503 Fundamentals of Algebra for the Middle School Educator
An integration of the study of algebra and its applications to the world around us with reflection on the teaching and learning of algebraic concepts in the spirit of the NCTM's Principles and Standards of School Mathematics. Mathematical content focuses on basic algebraic concepts including signed numbers and their operations, problem solving, quantitative and qualitative graphs, proportional reasoning, linear functions, and functions defined by tables and graphs. Algebra is presented as the study of patterns, as a symbolic language, as a tool for problem solving, and as a way of modeling and understanding the physical world. Graphing calculators are used throughout the course. [ 3 credits ]
MAT-507 Algebraic Functions for the Middle School Educator
An integration of the study of algebraic functions and their applications to the world around us with reflection on the teaching and learning of algebraic concepts in the spirit of the NCTM's Principles and Standards of School Mathematics. Mathematical content focuses on the function concept, function notation, function definition by equation, table and graph, rates of change, linear, quadratic and exponential functions and their applications. Graphing calculators are used throughout the course to explore functions and their properties numerically and graphically. Prerequisite: MAT-503 Fundamentals of Algebra for the Middle School Educator. [ 3 credits ]
MAT-508 Algebra: An Adanced Perspective for High School Educators
An examination of core high school mathematics content and problems from a mathematically advanced standpoint: looking at alternate definitions, language, and approaches and exploring connections between topics usually studied separately. Topics selected from among real and complex numbers, functions, equations, integers and polynomials, modular arithmetic and number fields. Emphasis is placed on problem-solving both individually and collaboratively. Prerequisites: One year of calculus and at least one proof or algebraic structure course such as Linear Algebra, Abstract Algebra or Real Analysis. [ 3 credits ]
MAT-521 Geometry and Measurement for the Middle School Educator
An integration of the study of geometric shapes, spatial reasoning, and measurement with reflection on the van Hiele framework and the NCTM's Principles and Standards of School Mathematics. Mathematical content includes two-and three-dimensional shapes and their properties e.g. congruence, similarity and symmetry, spatial reasoning and transformations, the measurement process and techniques. Interactive software will be used in the exploration of these topics. [ 3 credits ]
MAT-522 Geometry: An Advanced Perspective for High School Educators
An examination of core high school mathematics content and problems from a mathematically advanced standpoint: looking at alternate definitions, language, and approaches, and exploring connections between topics usually studied separately. Topics selected from among congruence, distance and similarity, trigonometry, area and volume, axiomatics, and Euclidean geometry. Emphasis is placed on problem solving both individually and collaboratively. Prerequisites: One year of calculus and at least one proof or algebraic structure course such as Linear Algebra, Abstract Algebra, or Real Analysis. [ 3 credits ]
MAT-525 Foundations of Math
MAT-530 Basic Statistics
MAT-531 Data Analysis and Statistics for the Middle School Educator
An integration of the study of data analysis and statistics with reflection on the teaching and learning of data analysis in the spirit of the NCTM's Principles and Standards of School Mathematics. Mathematical content includes experimental design and data collection, displaying data, exploring and interpreting data, measures of center and spread, ways to investigate the association between two variables and misuses of statistics. Graphing calculators and spreadsheet software are used throughout the course. [ 3 credits ]
MAT-532 Discrete Mathematics and Probability for the Middle School Educator
An integration of the study of discrete mathematics (sets, logic, counting) and probability with reflection on the teaching and learning of these concepts in the spirit of the NCTM's Principles and Standards of School Mathematics. Mathematical content includes sets and their operations, logical connectives and quantified statements, types of mathematical arguments and proofs, counting techniques, the probability of simple and compound events, sample spaces, probability distributions, and the use of simulations to generate data for determining probabilities and to test conjectures. Graphing calculators are used throughout the course. [ 3 credits ]
MAT-533 Calculus for Middle School Educators
An integration of the study of calculus and its connections to the middle school curriculum with reflection on the teaching and learning of these concepts in the spirit of the NCTM's Principles and Standards of School Mathematics. Mathematics content includes sequences and series, functions, differentiation, integration and applications. Graphing calculators are used throughout the course. [ 3 credits ]
MAT-541 Number and Operations for Elementary School Educators
An integration of the study of the whole numbers and the integers with the approach to mathematics teaching and learning found in the National Council of Teachers of Mathematics' Principles and Standards of School Mathematics and the Maryland State Standards. Mathematical content includes place value, estimation, conceptual underpinnings of the conventional computational algorithms for whole numbers and extending these ideas to the integers. Early number concepts, how students develop number sense, how to judge when student-developed procedures are mathematically sound, common misconceptions and how to address these misconceptions are integral to this course. [ 3 credits ]
MAT-542 Number and Relationships for Elementary School Educators
A continuation of Number and Operations for Elementary School Educators extending the ideas developed for whole numbers and integers to the rational numbers (represented as fractions and decimals) and the behavior of units under the four basic operations. Mathematical content also includes ratio and proportion as well as basic concepts of number theory. The mathematical content is integrated with the approach to mathematics teaching and learning found in the National Council of Teachers of Mathematics' Principles and Standards of School Mathematics and the Maryland State Standards. Common misconceptions related to this material and how to address these misconceptions are integral to the course. [ 3 credits ]
MAT-543 Geometry and Measurement for Elementary School Educators
Mathematical content focuses on the development of visualization skills, familiarity with basic shapes, their properties, and the relationships between them (e.g., transformations, similarity and congruence), the communication of geometric ideas, the process of measurement, and working with length, area and volume. The mathematical content is integrated with the approach to the teaching and learning of these concepts found in the National Council of Teachers of Mathematics' Principles and Standards of School Mathematics and the Maryland State Standards. Reflection on the van Heile model for the development of geometric understanding is integral to the course as is the consideration of relevant common misconceptions and how to address them. [ 3 credits ]
MAT-544 Data Analysis and Probability for Elementary School Teachers
An integration of the study of probability and statistics with the approach to the teaching and learning of these concepts found in the National Council of Teachers of Mathematics' Principles and Standards of School Mathematics and the Maryland State Standards. Mathematical content includes designing data investigations, describing data in graphical and numerical formats, drawing conclusions, theoretical and empirical probability for simple events and two or more independent events, randomness and the difference between predicting individual events and predicting patterns of events. How students learn these concepts, associated misconceptions and how to address them are also considered in the course. [ 3 credits ]
MAT-545 Patterns and Algebraic Thinking for Elementary School Educators
Mathematical content includes the study of patterns, representing and justifying the resultant generalizations using algebraic notation and other representations, expressing functional relationships in symbolic and graphical format, proportional reasoning, solving linear equations and inequalities through the application of basic properties of the real numbers. The mathematical content is integrated with the approach to mathematics teaching and learning found in the National Council of Teachers of Mathematics' Principles and Standards of School Mathematics and the Maryland State Standards. Common misconceptions related to this material and how to address these misconceptions are integral to the course. [ 3 credits ]
MAT-546 Algebra for Elementary School Educators
A continuation of Patterns and A lgebraic Thinking for Elementary School Educators, extending the ideas considered there to functions defined by tables and graphs and to functions defined in either closed or recursive forms. Mathematical content also includes quantitative and qualitative graphs, proportional reasoning, linear and quadratic functions, the field properties of the real numbers, rates of change, and applications of algebraic concepts in problem solving. The mathematical content is integrated with the approach to mathematics teaching and learning found in the National Council of Teachers of Mathematics' Principles and Standards of School Mathematics and the Maryland State Standards. Common misconceptions related to this material and how to address these misconceptions are integral to the course. [ 3 credits ]
MAT-575 Applied Statistics and Programming
Covers concepts of testing for use in professional sciences, including simple linear regression, correlation, multiple regression, fixed and random effects, analysis of variance, analysis of covariance, experimental design, multivariate methods and various statistical packages, including R. Prerequisite: MAT-576. [ 3 credits ]
MAT-576 Data and Decision Modeling
Provides an application-oriented introduction to the modeling techniques used to structure the way we think about managerial decision situations. Methodologies considered include decision analysis, simulation, optimization and sensitivity analysis. Stochastic models are developed with applications to finance, operations management, logistics and resource allocation. [ 3 credits ]
MAT-599 Topics in Mathematics
NDMU-100 First Year Seminar
First Year Seminar course (formerly Perspectives in Culture and Education - IDS-100)
PHY-101 General Physics I
Studies the fundamental physical laws of nature and their use in understanding natural phenomena. Course provides a knowledge base for study in all areas of science and mathematics. Topics include kinematics, dynamics of motion, Newton's laws, rotational mechanics and conservation of energy and momentum. Development of the concepts of vector algebra and calculus are provided as needed. Three lectures, one three-hour laboratory weekly. Fulfills general education requirement in natural science. [4 credits]
PHY-102 General Physics II
Continues studies of the fundamental physical laws of nature and their use in understanding natural phenomena. Topics include classical wave motion, acoustics, optics, electricity and magnetism. Development of the concepts of vector algebra and calculus are provided as needed. Three lectures, one three-hour laboratory weekly. [4 credits]