Jun 26, 2024  
Undergraduate/Graduate Catalog 2014-2015 
    
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Undergraduate/Graduate Catalog 2014-2015 [ARCHIVED CATALOG] See drop-down menu above to access other catalogs.

Course Descriptions

Note: See Catalog Web Addenda at www.bridgew.edu/catalog/addenda as that information supersedes the published version of this catalog.

The course descriptions include all courses that are taught for academic credit at the university. They are arranged in alpha-numerical sequence by course subject code. At present, the majority of the 500-600 level courses are offered in the evening hours. Students should be aware that not all courses are offered in the evening or every semester.

Students who are only able to enroll in classes 4 pm or after should consult the appropriate department chairperson for information about the availability of evening sections of courses required in a specific major, concentration and/or minor. Students are urged to consult “Available Course Sections” through the InfoBear link each semester to determine when specific courses are offered.

Click here to view  how to read course descriptions.

 
 

Management: Other Approved Courses
  

  • MGMT 516 - Business Writing

    (1 credit)
    Students will learn the commonly accepted principles of business writing, including developing the document as a whole, determining the best format to use in certain situations, and capitalizing on word choice and document flow. Offered fall semester.

  

  • MGMT 517 - Decision Making

    (1 credit)
    This workshop will emphasize common biases and mistakes, fairness and ethics in decision making, and the improvement of decision making. Offered fall semester.

  

  • MGMT 518 - Career Development

    (1 credit)
    Beginning with career planning, the workshop will include networking, job searching, resume writing, interviewing and transitional strategies for career advancement. Students will map an appropriate career path for themselves. Offered fall semester.

  

  • MGMT 519 - Teamwork in the Contemporary Organization

    (1 credit)
    This course will engage students in small group decision making, with a focus on necessary roles including leadership, communication, integrity, team building and goal setting. Offered fall semester.

  

  • MGMT 540 - Industrial Marketing

    (3 credits)
    Prerequisite: MGMT 507 and MGMT 509; or waiver upon acceptance
    Students study contemporary market strategy techniques in business organizations. Case studies provide students with an opportunity to develop strategy in response to given market opportunities and competitive behavior.

  

  • MGMT 546 - Business Ethics

    (3 credits)
    This course will introduce students to the field of corporate responsibility through a series of lectures and projects. In their readings, fieldwork and interactive classroom sessions, students will examine best practices used by companies to engage in socially responsible business and will analyze what ethical principles should govern business behavior, including value clarification. Students will use a decision-making matrix for applying ethical principles to business and consider the kinds of designs necessary to foster corporate social responsibility.

  

  • MGMT 554 - Issues in Global E-Commerce

    (3 credits)
    Prerequisite: MGMT 530
    This course explores how the Internet affects product and service costs, customer response times, and quality across a variety of industries. Students research modern e-business models in relation to both business strategy and the broader societal impacts of these new organizational forms.

  

  • MGMT 561 - Environmental Management

    (3 credits)
    Prerequisite: ECON 501 and MGMT 507; or waiver upon acceptance
    This course covers environmental laws and regulations as they apply to industrial organizations. Students explore the relationships between technology, community development, and the long-term sustainability of natural resources. Special topics include ISO 14000 standards, the role of private industry in developing new technology, and the responsibilities of both business and government in a global economy.


Mathematics
  

  • MATC 560 - Topics in Mathematics for Teachers

    (1-3 credits)
    Prerequisite: May be specified depending on the nature of the topic
    Special topics of relevance to mathematics teachers will be offered from time to time. The topics to be offered will be content focused and directly related to the strands of the Massachusetts Curriculum Framework, as they pertain to mathematics teachers. This course is not part of the MAT in Mathematics. This course may be repeated for different topics.

  

  • MATH 090 - Math Readiness

    (3 credits)
    This course provides background in basic mathematical concepts and skills to prepare students for non-precalculus-based college-level math courses. Topics include fundamental principles of arithmetic, algebra and geometry. Graded on a (S) Satisfactory/(U) Unsatisfactory basis. Offered either semester. (Formerly FRSK 102) NOTE: This course does not provide adequate preparation for courses numbered MATH 120 or higher. Students may not take both MATH 090 and MATH 095. This course does not satisfy any core curriculum requirement, nor may the credits be applied toward the minimum credits required for graduation by any major.

  

  • MATH 095 - Precalculus Readiness

    (4 credits)
    This course covers algebra fundmentals to prepare students for college-level precalculus. Each student will complete an individualized, mastery-based review and engage in a series of concept-building workshops. Topics include integer and fraction arithmetic, linear equations and inequalities, systems of two linear equations, properties of exponents, polynomial algebra and factoring, quadratic equations, radical and rational expressions, and graphs of linear and quadratic equations. Graded on a (S) Satisfactory/(U) Unsatisfactory basis. (Formerly FRSK 102E) NOTE: Students may not take both MATH 090 and MATH 095. This course does not satisfy any core curriculum requirements, nor may the credits be applied toward the minimum required for graduation by any major.

  

  • MATH 105 - Selected Topics in Mathematics

    (3 credits)
    Prerequisite: Mathematics placement test or MATH 090 with a minimum grade of “S” or MATH 095 with a minimum grade of “S”
    The nature and process of mathematical thinking (inductive, deductive, and algorithmic), as well as applications and results, are the underlying components of this course. Possible topics to be explored include sets, logic, number theory, geometry, graph theory and probability. A selection of three or more such topics will be offered each semester. Offered either semester. (CMAR)
  

  • MATH 110/MATH 110E - Elementary Statistics I

    (3 credits)
    Prerequisite: Mathematics placement test or MATH 090 with a minimum grade of “S” or MATH 095 with a minimum grade of “S”
    This course provides an introduction to measures of central tendency and variability; elementary probability; binomial, normal and t distributions; hypothesis testing and confidence intervals. Offered either semester. NOTE: Students enrolled in the enhanced course MATH 110E – Elementary Statistics I must also enroll in the co-requisite course MATH 110T - Problem Solving in Statistics. (CMAR)
  

  • MATH 110T - Problem Solving in Statistics

    (1 credit)
    Prerequisite: Must be taken concurrently with MATH 110E
    This course is a required co-requisite for MATH 110E, the enhanced version of Elementary Statistics I. Under faculty supervision, students acquire strategies of problem solving and study skills related to their statistics course. Each week students will attend a one hour recitation with a mathematics coach and two additional tutoring hours on problem solving with the coach. This course may be repeated three times. This course is graded on a (P) Pass/(N) No Pass basis.

  

  • MATH 112 - Mathematics for Elementary Teachers I

    (3 credits)
    Prerequisite: Mathematics placement test or MATH 090 with a minimum grade of “S” or MATH 095 with a minimum grade of “S”; restricted to majors in early childhood, elementary and special education
    This course develops student’s understanding of the mathematical concepts of number and operations, and the properties of number systems at the deep level required for successful elementary school teaching in ways that are meaningful to pre-service elementary teachers. Topics will include place value and arithmetic models, mental math, algorithms, prealgebra factors and prime numbers, fractions and decimals, ratio, percentage and rate, integers and elementary number theory. Offered either semester. (CMAR)
  

  • MATH 113 - Mathematics for Elementary Teachers II

    (3 credits)
    Prerequisite: MATH 107 with a minimum grade of “C-” or MATH 112 with a minimum grade of “C-“; restricted to majors in early childhood, elementary and special education.
    This course develops student’s understanding of the mathematical content of geometry, measurement, probability and statistics at the deep level required for successful elementary school teaching in ways that are meaningful to pre-service elementary teachers. Topics will include two- and three- dimensional geometry, measurement, data analysis, single variable statistics and probability. Offered either semester. (CMAR)
  

  • MATH 114 - Mathematics for Elementary Teachers III

    (3 credits)
    Prerequisite: MATH 107 with a minimum grade of “C-” or MATH 112 with a minimum grade of “C-“; restricted to majors in early childhood, elementary and special education
    This course develops student’s understanding of the mathematical content of patterns, functions and algebra at the deep level required for successful elementary school teaching in ways that are meaningful to pre-service elementary teachers. Topics will include concepts of variable and function; linear, quadratic and exponential functions and their graphs; patterns, arithmetic and geometric progressions; solving equations and applications. Connections between arithmetic and algebra will be emphasized. Offered either semester. (CMAR)
  

  • MATH 120 - Introduction to Linear Algebra

    (3 credits)
    Prerequisite: Mathematics placement test or MATH 095 with a minimum grade of “S”
    Topics include algebra and geometry of vectors in Rn, linear equations, matrices, determinants, basis and dimension, and the use of homogenous coordinates for the matrix representation of linear and geometric transformations and their compositions. Offered fall semester. (CMAR)
  

  • MATH 125 - Integrated Science and Mathematics

    (3 credits)
    Prerequisite: Consent of instructor
    This course is designed to prepare incoming science and mathematics students in the STREAMS summer bridge program for the mathematical needs of their first-year coursework. In this course, students will study precalculus-level mathematics in the context of how it arises in the sciences. Topics include measurement, uncertainty, and responsible use of data; units and dimensional analysis; linear modeling and rates of change; linearization of exponential, logarithmic, power and other relationships, principles of trigonometry; and effective communication of quantitative meaning in writing, graphs, and data tables. Offered summer only. NOTE: This course is not a substitute for precalculus (MATH 140/150) and does not satisfy prerequisites for any MATH course.

  

  • MATH 130 - Discrete Mathematics I

    (3 credits)
    Prerequisite: Mathematics placement test or MATH 095 with a minimum grade of “S”
    This course provides some of the mathematical background necessary for computer science. Topics include combinations and discrete probability, discrete functions and graph theory. Offered spring semester. (CMAR)
  

  • MATH 135 - Freshman Honors Colloquium

    (1 credit)
    Prerequisite: Open to Commonwealth Honors students and to others at the discretion of instructor
    Freshman Honors Colloquia in mathematics allow exceptionally able students to explore a challenging topic in small classes under close faculty supervision. Colloquia meet once a week for 50 minutes and culminate in a paper or scientific project, which provides the major part of the grade. Topics vary from semester to semester. This course may be repeated for a maximum of six credits. Offered fall semester.

  

  • MATH 136 - Freshman Honors Colloquium

    (1 credit)
    Prerequisite: Open to Commonwealth Honors students and to others at the discretion of instructor
    Freshman Honors Colloquia in mathematics allow exceptionally able students to explore a challenging topic in small classes under close faculty supervision. Colloquia meet once a week for 50 minutes and culminate in a paper or scientific project, which provides the major part of the grade. Topics vary from semester to semester. This course may be repeated for a maximum of six credits. Offered spring semester.

  

  • MATH 140/MATH 140E - Elements of Precalculus

    (3 credits)
    Prerequisite: Mathematics placement test
    This course is designed to help prepare students for the study of calculus. Topics covered include a review of algebraic fundamentals (exponents, logarithms, linear and non-linear equations and inequalities) and a study of functions of various types (polynomial, rational and transcendental). Offered either semester. (Formerly MATH 100) NOTE: Students enrolled in the enhanced course MATH 140E - Elements of Precalculus must also enroll in the co-requisite course MATH 140T - Problem Solving in Precalculus. (CMAR)
  

  • MATH 140T - Problem Solving in Precalculus

    (1 credit)
    Prerequisite: Must be taken concurrently with MATH 140E
    This course is a required co-requisite for MATH 140E, the enhanced version of Elements of Precalculus. Under faculty supervision, students acquire strategies of problem solving and study skills related to their precalculus course. Each week students will attend a one hour recitation with a mathematics coach and two additional tutoring hours on problem solving with the coach. This course may be repeated three times. This course is graded on a (P) Pass/(N) No Pass basis. Offered either semester.

  

  • MATH 141 - Elements of Calculus I

    (3 credits)
    Prerequisite: MATH 140/140E with a minimum grade of “C-” or MATH 150 with a minimum grade of “C-” or a mathematics placement test.
    This course introduces the student to the main concepts, methods, and techniques of differential calculus. Emphasis is on how these arise from problems in several areas, rather than from a rigorous development of the theory. A principal objective of this course is to illustrate how mathematics is used to model physical reality and how such a mathematical model facilitates the solution of problems. This course does not satisfy mathematics major requirement. Credit cannot be given for both MATH 141 and MATH 144. Offered either semester. (CMAR)
  

  • MATH 142 - Elements of Calculus II

    (3 credits)
    Prerequisite: MATH 141 with a minimum grade of “C-“
    The topics include the integral and its applications as well as multivariable calculus. Additional topics are selected from: differential equations, Taylor series and probability distributions. This course does not satisfy mathematics major requirements. Offered either semester. (CMAR)
  

  • MATH 143 - Problem Solving in Mathematics

    (1 credit)
    Prerequisite: Registration in designated enhanced MATH course
    This course is a required corequisite for enhanced sections supported by small-group structured learning assistance. Under faculty supervision, students acquire strategies of problem solving, study skills and mathematical inquiry to help them succeed in mathematics. Students in this course will attend a weekly tutorial session led by a peer learning assistant (PAL) in which they will engage in inquiry-based and small-group problem solving. This course may be repeated twice for credit. This course will be graded on a (P) Pass/(N) No Pass basis.

  

  • MATH 144 - Applied Calculus for Business

    (3 credits)
    Prerequisite: MATH 140/140E with a minimum grade of “C-” or MATH 150 with a minimum grade of “C-” or a mathematics placement test
    This is a one-semester course in applied differential and integral calculus with emphasis on business applications. Topics to be covered include derivatives of algebraic, logarithmic and exponential functions, optimization problems, antiderivatives and the fundamental theorem of calculus, techniques of integration, functions of several variables and partial derivatives. This course does not satisfy mathematics major requirements. (CMAR)
  

  • MATH 150 - Precalculus with Trigonometry

    (4 credits)
    Prerequisite: Mathematics placement test or MATH 095 with a minimum grade of “S”
    This course is designed to help prepare students for the study of calculus. Topics covered include a review of algebraic fundamentals (exponents, logarithms, linear and non-linear equations and inequalities), a study of polynomial, rational and transcendental functions as well as trigonometric functions, identities and equations. (CMAR)
  

  • MATH 161/161E - Single Variable Calculus I

    (4 credits)
    Prerequisite: MATH 150 with a minimum grade of “C-” or a mathematics placement test or consent of department
    This course will provide an introduction to the topics and techniques of single-variable calculus. Differential calculus topics will include limits and derivatives of algebraic and transcendental functions as well as applications of the derivative. Integral calculus topics will include antiderivatives, area and the Fundamental Theorem of Calculus. NOTE: Students enrolled in the enhanced course MATH 161E must also enroll in an appropriate section of the corequisite course MATH 143 Problem Solving in Mathematics. (CMAR)
  

  • MATH 162 - Single Variable Calculus II

    (4 credits)
    Prerequisite: MATH 161/161E with a minimum grade of “C-” or consent of department
    This course is a continuation of material found in MATH 161. Topics will include integration techniques and applications of integration using algebraic and transcendental functions. In addition, sequences and series will be discussed. (CMAR)
  

  • MATH 180 - Transition to Advanced Mathematics

    (3 credits)
    Prerequisite: MATH 161/161E*, which may be taken concurrently
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    This course is an introduction to formal mathematics and provides a transition from computation-based mathematics to the more theoretical approach used in advanced mathematics courses. Topics covered include mathematical logic, set theory, concepts of relation, function and cardinality, and the design and structure of axioms and axiomatic systems are discussed. A large emphasis is placed on reading, analyzing and learning to produce proofs of mathematical statements. (CLOR)
  

  • MATH 199 - First Year Seminar

    (3 credits)
    Prerequisite: Open to all freshmen with a writing placement score of 3 or above or a SAT score of 500 or above. Students with 24 or more transfer credits will have this requirement waived.
    First Year Seminars (FYS) are writing-intensive, topic courses that introduce students to academic thought, discourse and practices. FYS courses prepare and orient students toward productive and fulfilling college careers by actively engaging them in a specific academic area of interest. Students will improve their writing, reading, research and basic information and technology skills while learning to work both collaboratively and independently. These courses will fulfill the First Year Seminar requirement and may fulfill other requirements for the core curriculum. Each course may fulfill different requirements and topics may change each semester. Only one FYS course may be taken for credit. (CFYS)
  

  • MATH 200 - Statistical Methods I

    (3 credits)
    Prerequisite: MATH 141 with a minimum grade of “C-” or MATH 151 with a minimum grade of “C-” or MATH 161 with a minimum grade of “C-” or consent of instructor
    This course provides an introduction to statistical methods for acquiring, describing and making decisions from data. Topics include induction, sampling design, the calculation and choice of descriptive statistics as measures of central tendency and variability, permutations, combinations, random variables, probability models, conditional probability, independence, the law of total probability and Bayes’ Theorem, expected values, confidence intervals for means and proportions, the Central Limit Theorem, common univariate distributions to include the binomial, normal, t, and exponential distributions, and an introduction to hypothesis testing.

  

  • MATH 202 - Linear Algebra

    (4 credits)
    Prerequisite: MATH 142* or MATH 152* or MATH 162* (MATH 162 may be taken concurrently); and MATH 180*, which may be taken concurrently
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Vector spaces, linear transformations, matrices, systems of linear equations and determinants. Offered each semester.

  

  • MATH 251 - Calculus III

    (3 credits)
    Prerequisite: MATH 152
    This course covers infinite sequences and series and multivariable calculus including partial differentiation, directional derivatives, max/min theory and multiple integration. Offered fall semester.

  

  • MATH 252 - Calculus IV

    (3 credits)
    Prerequisite: MATH 251
    This course covers, with an emphasis on techniques, the topics of vector differentiation and integration, line integrals and Green’s theorem. This course also includes a rigorous re-examination of the calculus topics of limits, continuity, differentiability and integrability.

  

  • MATH 261 - Multivariable Calculus

    (4 credits)
    Prerequisite: MATH 162*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    This course is a continuation of the MATH 161/161E - MATH 162 Single Variable Calculus I-II sequence. Topics will include parametric and polar equations, derivatives and integrals of multivariable functions, and vector analysis.

  

  • MATH 286 - Sophomore Honors Colloquium

    (1 credit)
    Prerequisite: Open to Commonwealth Honors students and to others at the discretion of instructor
    Sophomore Honors Colloquia in mathematics allow exceptionally able students to explore a challenging topic in small classes under close faculty supervision. Colloquia meet once a week for 50 minutes and culminate in a paper or scientific project, which provides the major part of the grade. The minimum enrollment is two and the maximum is 12. Topics vary from semester to semester. Offered fall semester.

  

  • MATH 287 - Sophomore Honors Colloquium

    (1 credit)
    Prerequisite: Open to Commonwealth Honors students and to others at the discretion of instructor
    Sophomore Honors Colloquia in mathematics allow exceptionally able students to explore a challenging topic in small classes under close faculty supervision. Colloquia meet once a week for 50 minutes and culminate in a paper or scientific project, which provides the major part of the grade. The minimum enrollment is two and the maximum is 12. Topics vary from semester to semester. Offered spring semester.

  

  • MATH 298 - Second Year Seminar (Speaking Intensive)

    (3 credits)
    Prerequisite: _ _ _ _ 199; Open to all sophomores and juniors who have completed ENGL 101, and the speaking skills requirement. Students with 54 or more transfer credits will have this requirement waived. Cannot be taken if _ _ _ _ 298 or _ _ _ _ 299 are taken for credit.
    Second Year Seminars (SYS) are speaking-intensive, topic courses that build on the academic skills and habits introduced in the First Year Seminar. SYS courses engage students in a specific academic area of interest and provide them with the opportunity to reinforce, share and interpret knowledge. Students will improve their speaking, reading, research and basic information and technology skills while building the connections between scholarship and action that are required for lifelong learning. These courses will fulfill the Second Year Seminar requirement and may fulfill other requirements for the core curriculum. Each course may fulfill different requirements and topics may change each semester. Only one SYS course may be taken for credit. (CSYS)
  

  • MATH 299 - Second Year Seminar (Writing Intensive)

    (3 credits)
    Prerequisite: _ _ _ _ 199; Open to all sophomores and juniors who have completed ENGL 101 and ENGL 102. Students with 54 or more transfer credits will have this requirement waived. Cannot be taken if _ _ _ _ 298 or _ _ _ _ 299 are taken for credit.
    Second Year Seminars (SYS) are writing-intensive, topic courses that build on the academic skills and habits introduced in the First Year Seminar. SYS courses engage students in a specific academic area of interest and provide them with the opportunity to reinforce, share and interpret knowledge. Students will improve their writing, reading, research and basic information and technology skills while building the connections between scholarship and action that are required for lifelong learning. These courses will fulfill the Second Year Seminar requirement and may fulfill other requirements for the core curriculum. Each course may fulfill different requirements and topics may change each semester. Only one SYS course may be taken for credit. (CSYS)
  

  • MATH 300 - Statistical Methods II

    (3 credits)
    Prerequisite: MATH 200 with a minimum grade of “C-“
    This course provides an introduction to statistical methods for testing hypotheses and analyzing associations between two or more categorical or quantitative variables. Topics include hypothesis testing, formulation of a statistical question, size, power, confidence intervals, rejection regions, p-values, type 1 and type 2 errors, contingency tables, experimental design, independence, dependence, tests of independence, describing and measuring the strength of association, use of residuals, simple and multiple regression, prediction intervals, model checking and goodness-of-fit tests, ANOVA, and an introduction to nonparametric statistics. Offered spring semester.

  

  • MATH 301 - Abstract Algebra I

    (3 credits)
    Prerequisite: MATH 202*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Study of relations, functions and binary operations. Introduction to the theory of rings, integral domains and fields through a study of integers, rational numbers, real numbers, complex numbers and polynomials, and elementary group theory. Offered fall semester.

  

  • MATH 302 - Abstract Algebra II

    (3 credits)
    Prerequisite: MATH 301*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Group theory, linear groups, rings and ideals, extensions of rings and fields.

  

  • MATH 303 - Number Theory

    (3 credits)
    Prerequisite: MATH 202* or consent of department
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Development of the number system, the Euclidean Algorithm and its consequences, theory of congruences, number-theoretic functions, Diophantine equations and quadratic residues.

  

  • MATH 316 - Differential Equations

    (3 credits)
    Prerequisite: MATH 251* or MATH 261*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Ordinary differential equations of first and second order, linear differential equations with constant coefficients, the Laplace transformation and applications.

  

  • MATH 318 - Quantitative Methods for Management

    (3 credits)
    Prerequisite: MATH 142* or MATH 144* or MATH 152* or MATH 162*; and MATH 110/110E* or ECON 210 or equivalent
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Selected mathematical tools and techniques for analysis of business and economic problems as an aid to decision-making in management. Models and applications related to decision theory, linear programming, inventory, queuing, forecasting and other standard qualitative concepts. Offered either semester.

  

  • MATH 325 - Foundations of Geometry

    (3 credits)
    Prerequisite: MATH 202*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    In this course, students will broaden their understanding of Euclidean geometry; study finite geometries, geometric transformations and non-Euclidean geometries; write geometric proofs; construction problems; and apply geometric concepts to real-world situations. Offered either semester.

  

  • MATH 340 - Graph Theory

    (3 credits)
    Prerequisite: MATH 202* or consent of instructor
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    This course introduces the basic definitions, concepts, topics and theorems of graph theory including the structure, connectivity and vulnerability of graphs. A wide range of examples such as the traveling salesperson problems, Dijkstra’s algorithm, Huffmann codes and Fleury’s algorithm will also be examined.

  

  • MATH 341 - Cryptology

    (3 credits)
    Prerequisite: MATH 202* or consent of instructor
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Cryptology is the study of the composition, design, use and analysis of methods and systems to encrypt and decrypt messages. This course begins with a review of classical cryptosystems from shift ciphers to the enigma machine. Modern private-key encryption schemes such as AES (the Advanced Encryption Standard) and public-key encryption schemes such as RSA will also be studied. In addition, digital signatures, secret sharing and zero-knowledge proofs will be examined. Other techniques and methods of cryptology such as steganography, discrete logarithms, elliptic curves and quantum computing may be explored. Offered once per year.

  

  • MATH 345 - Combinatorics

    (3 credits)
    Prerequisite: MATH 202* or consent of instructor
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Methods examined in this course are permutations, combinations, the sum and product rules, ordered and unordered selection with or without repetition, identical and distinct ranges, the pigeonhole principle, binomial coefficients, inclusion/exclusion, derangements, partitions, recurrence relations, generating functions and ramsey theory. Special topics may include latin squares, graph theory, network flows, coding theory, designs, polya counting, partially ordered sets and lattices.

  

  • MATH 349 - Foundations of Mathematics

    (3 credits)
    Prerequisite: MATH 202*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    The course axiomatically develops the number systems as algebraic structures starting with the construction of the natural numbers using the Peano postulates and continuing to the ordered integral domain of integers, the ordered field of rationals, and the complete ordered field of real numbers by using Cauchy sequences.

  

  • MATH 350 - Regression Analysis

    (3 credits)
    Prerequisite: MATH 202 with a minimum grade of “C-” and MATH 300 with a minimum grade of “C-“
    This course provides an in-depth look at what regression is and how to effectively use it to produce and interpret statistical models. Topics include modeling assumptions, simple and multiple linear regression, covariance, correlation, confidence and prediction intervals, estimating regression parameters, tests of hypotheses about the regression coefficients, interpretations of regression coefficients especially in multiple linear models, various types of residuals, measures of influence, transformations of variables, weighted least squares, heteroscedasticity, and variable selection. Offered fall semester.

  

  • MATH 353 - Design and Analysis of Experiments

    (3 credits)
    Prerequisite: MATH 202 with a minimum grade of “C-” and MATH 300 with a minimum grade of “C-“
    This course provides an in-depth look at the statistical design and analysis of experiments. The emphases are on understanding design choices, critical assessment of design options, correct communication of conclusions, and use of statistical software to calculate test statistics. Topics include formulating a statistical question, confounding, randomization, blocking, replication, analysis of variance, analysis of covariance, variance stabilizing transformations, factorial designs, random effects and mixed effects models, repeated measures, and nested and split-plot designs. Offered spring semester.

  

  • MATH 398 - Advanced Topics in Statistics

    (3 credits)
    Prerequisite: May be specified depending on the nature of the topic
    This course explores a variety of advanced statistical concepts not covered in other courses. Topics will change from semester to semester and will be announced prior to registration. May be repeated for different topics up to a maximum of nine credits.

  

  • MATH 399 - Topics in Advanced Mathematics

    (3 credits)
    Special topics selected from the general areas of algebra, analysis and applied mathematics. This course may be repeated for different topics.

  

  • MATH 401 - Introduction to Analysis I

    (3 credits)
    Prerequisite: MATH 202*; and MATH 252* or MATH 261*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Logic and proof techniques are followed by basic theorems on the topology of real numbers, compactness, limits, sequences, continuity and differentiability. Offered spring semester.

  

  • MATH 402 - Introduction to Analysis II

    (3 credits)
    Prerequisite: MATH 401 with a minimum grade of “C-” or consent of instructor
    This course is an introduction to the rigorous study of continuity, differentiation, integration, sequences and series of functions. Topics in this course will include the Intermediate Value Theorem, Mean Value Theorem, Riemann integral, Fundamental Theorem of Integral Calculus, convergence theorems, and uniform continuity. Offered spring semester.

  

  • MATH 403 - Probability Theory

    (3 credits)
    Prerequisite: MATH 251* or MATH 261*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    All elementary probability topics: permutations and combinations, types of events, conditional probability, Bayes’ Theorem and so on. A calculus approach to probability distribution and cumulative distributions, moment and moment generating functions.

  

  • MATH 408 - History of Mathematics

    (3 credits)
    Prerequisite: MATH 202*; and MATH 252* or MATH 261*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    A historical development of mathematics from ancient time to the Middle Ages (c. 3500 B.C. to c. 1400 A.D.). Some of the topics covered include Egyptian, Babylonian and Mayan Numeration Systems; Greek mathematics, including the Pythagorean, Platonic and Alexandrian schools; Asian contributions and the Arabic Hegemony; and principal mathematicians of the European Middle Ages, including Alcuin, Fibonacci and Oresme. (CWRM)
  

  • MATH 412 - Mathematical Statistics

    (3 credits)
    Prerequisite: MATH 403 with a minimum grade of “C-“
    This course is a calculus-based approach to the analysis of hypothesis tests, and both point and interval estimators. Topics include: Uniform Minimum Variance Unbiased Estimation (UMVUE), Uniformly Most Powerful (UMP) tests, correlation and regression, Best Linear Unbiased Estimation (BLUE), Analysis of Variance (ANOVA), as well as a study of how the gamma, t, chi-squared, and F distributions arise. Offered spring semester.

  

  • MATH 415 - Numerical Analysis

    (3 credits)
    Prerequisite: MATH 251* or MATH 261*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Solution of algebraic and transcendental equations, general iteration method, Newton-Raphson method. Approximation of functions and curve fitting, Lagrange interpolation formula, Newton’s forward difference method, method of least squares, orthogonality, numerical integration and Euler-Cauchy technique.

  

  • MATH 416 - Applied Mathematics

    (3 credits)
    Prerequisite: MATH 251* or MATH 261*
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Fourier analysis, solutions of partial differential equations, special functions, and line and surface integrals. (CWRM)
  

  • MATH 417 - Functions of a Complex Variable

    (3 credits)
    Prerequisite: MATH 401 with a minimum grade of “C-” or consent of instructor
    This course is an introduction to functions of one complex variable. Topics include the algebra and geometry of complex numbers, analytic and harmonic functions, differentiation, elementary functions of a complex variable, integration, contour integrals, power series, residues and poles, and conformal mapping. Offered spring semester.

  

  • MATH 418 - Introduction to Operations Research

    (3 credits)
    Prerequisite: MATH 202 or consent of instructor
    Operations research models of various real-life applications will be introduced. Students will learn how to formulate deterministic or probabilistic mathematical models, solve these models with existing algorithms by hand or by computer, and interpret the computer output solutions for these problems. In addition, students will learn the mathematical theory behind these algorithms. Topics may include linear programming and duality, the simplex algorithm and goal programming, sensitivity and post-optimality analyses, decision making under uncertainty, and game theory, as well as shortest route, minimal spanning tree, and maximal flow problems. Offered either semester.

  

  • MATH 445 - Logic Programming

    (3 credits)
    Prerequisite: Junior or senior mathematics major or equivalent background; and consent of the department
    The propositional and first order predicate logic from an axiomatic point of view will be studied. Algorithmic methods of theorem proving will be emphasized.

  

  • MATH 485 - Honors Thesis

    (3 credits)
    Prerequisite: Open to Commonwealth and Departmental Honors students
    In this course, one-hour weekly meetings with the thesis director will culminate in an honors thesis. With the consent of the Departmental Honors Committee and the thesis director, this course may be extended into a second semester for three additional credits depending upon the scope of the project. Whether the final version of the thesis qualifies the student to graduate with honors will be determined by the Departmental Honors Committee. This course may be taken twice for a maximum of six credits. Offered either semester.

  

  • MATH 490 - Mathematics Seminar

    (3 credits)
    Prerequisite: MATH 251* or MATH 261*; and MATH 301*; or consent of department chairperson
    (*Must be completed with a grade of “C-” or higher, effective Spring 2015.)
    Topics to be selected from algebra, geometry and analysis. May be offered as a quarter or semester course.

  

  • MATH 499 - Directed Study in Mathematics

    (1-3 credits)
    Prerequisite: Consent of the department; formal application required
    Directed study is open to juniors and seniors who have demonstrated critical and analytical abilities in their studies and who wish to pursue a project independently. This course may be taken twice for a maximum of six credits. Offered either semester.

  

  • MATH 502 - Research

    (3 or 6 credits)
    Prerequisite: Consent of the department; formal application required
    Original research undertaken by the graduate student in their field. For details, consult the paragraph titled “Directed or Independent Study” in the “College of Graduate Studies” section of this catalog. This course may be repeated for a maximum of six credits.

  

  • MATH 503 - Directed Study

    (1-3 credits)
    Prerequisite: Consent of the department; formal application required
    Directed study is designed for the graduate student who desires to study selected topics in a specific field. For details, consult the paragraph titled “Directed or Independent Study” in the “College of Graduate Studies” section of this catalog. This course may be repeated for a maximum of six credits.

  

  • MATH 507 - Topology

    (3 credits)
    Prerequisite: MATH 251 and MATH 301 or equivalent; and admission to the MAT in Mathematics program; or consent of instructor
    Elements of point set topology, closed sets and open sets in metric spaces, continuous mappings, connection, separation theorems, and compactness.

  

  • MATH 508 - History of Mathematics

    (3 credits)
    Prerequisite: Admission to the MAT in Mathematics program or consent of instructor
    A historical development of mathematics from ancient time to the Middle Ages (c. 3500 B.C. to c. 1400 A.D.). Some of the topics covered include Egyptian, Babylonian and Mayan Numeration Systems; Greek mathematics, including the Pythagorean, Platonic and Alexandrian schools; Asian contributions and the Arabic Hegemony; and principal mathematicians of the European Middle Ages, including Alcuin, Fibonacci and Oresme. Students will be required to complete two projects that will culminate in formal presentations.

  

  • MATH 510 - Group Theory

    (3 credits)
    Prerequisite: MATH 301 or equivalent; and admission to the MAT in Mathematics program
    Groups, subgroups, homomorphisms, normal subgroups and quotient groups, generators, normal structure and the Jordan-Holden Theorem, direct products of groups.

  

  • MATH 511 - Ring Theory

    (3 credits)
    Prerequisite: MATH 301 or equivalent; and admission to the MAT in Mathematics program; or consent of instructor
    Examples of rings, ideals and homomorphisms, the Jacobson radical, direct sums, Boolean rings and rings with chain conditions.

  

  • MATH 518 - Topics in Analysis

    (3 credits)
    Prerequisite: MATH 202 and MATH 252; and admission to the MAT in Mathematics program; or consent of instructor
    The course consists of a detailed discussion of limits, continuity, and applications of differential and integral calculus, and the real number system. Group and/or individual projects will be required as part of the course. This course is designed to provide graduate-level mathematics education students with an introduction to analysis, appropriate to the needs of secondary school mathematics teachers.

  

  • MATH 520 - Real Analysis
  

  • MATH 522 - Complex Analysis

    (3 credits)
    Prerequisite: MATH 401 and admission to the MAT in Mathematics program; or consent of instructor
    Analytic functions of a complex variable, differentiation and integration in the complex plane. Cauchy’s theorems, infinite series, Laurent expansions and theory of residues.

  

  • MATH 527 - Cryptology

    (3 credits)
    Prerequisite: Admission to the MAT Mathematics program or consent of the instructor or consent of the department chairperson
    Cryptology is the study of the composition, design, use and analysis of methods and systems to encrypt and decrypt messages. Classical cryptosystems from shift ciphers to the enigma machine will be reviewed first. Then private-key encryption schemes such as AES (the Advanced Encryption Standard) and public-key encryption schemes such as RSA will be studied. Methods of cryptanalysis will be investigated. Other techniques and methods of cryptology such as digital signatures, secret sharing, zero-knowledge proofs, steganography, discrete logarithms, elliptic curves and quantum computing may be explored.

  

  • MATH 551 - Topics in Finite Mathematics

    (3 credits)
    Prerequisite: Admission to the MAT in Mathematics program or consent of instructor
    This course is designed for teachers of mathematics, and will extend and enrich the topics of finite mathematics. Possible topics include sets, logic, probability, statistics, combinatorics and graph theory.

  

  • MATH 552 - Topics in Analytic Geometry

    (3 credits)
    Prerequisite: Admission to the MAT in Mathematics program or consent of instructor
    Properties, definitions and applications of conic sections will be studied. Vectors, polar coordinates and calculus will be used to enhance the presentation and to develop formulas for tangent lines, areas and volumes. Translation and rotation of axis and invariants under translation will be covered. Quadric surfaces and their graphs, along with homogeneous coordinates, will be discussed.

  

  • MATH 561 - Topics in Number Theory

    (3 credits)
    Prerequisite: Admission to the MAT in Mathematics program or consent of instructor
    Topics will include an in-depth study of primes, divisibility, congruence, number theoretic functions, numeration systems and other related topics selected by the instructor.

  

  • MATH 562 - Topics in Geometry

    (3 credits)
    Prerequisite: Admission to the MAT in Mathematics program or consent of instructor
    This course employs classical and modern tools to explore topics that extend and enrich the standard high school geometry curriculum. Possible topics include transformations, tessellations, non-Euclidean geometrics and fractals.

  

  • MATH 582 - Topics in Problem Solving Using Technology

    (3 credits)
    Prerequisite: Admission to the MAT in Mathematics program or consent of instructor
    This course will include an in-depth study of problem-solving techniques in mathematics using technology. Application problems will include topics from physical and social sciences.

  

  • MATH 596 - Topics in Mathematics

    (3 credits)
    Prerequisite: Admission to the MAT in Mathematics or consent of instructor
    Topics are chosen from various areas of study in mathematics, such as statistics, pure mathematics and applied mathematics. This course may be repeated for a maximum of 15 credits with different topics.


Mathematics: Other Approved Courses
  

  • MATH 151 - Calculus I

    (3 credits)
    Prerequisite: MATH 150 or a mathematics placement test
    This course introduces the student to a rigorous development of the differential calculus. Emphasis is on the development of the concepts of calculus as typical of a cohesive mathematical theory. Offered fall semester. (CMAR)
  

  • MATH 152 - Calculus II

    (3 credits)
    Prerequisite: MATH 151
    This course is an intensive study of the integral and its applications, transcendental functions, conic sections and additional techniques of integration. Offered spring semester. (CMAR)
  

  • MATH 338 - Honors Tutorial

    (3 credits)
    Prerequisite: Consent of the department
    Special topics in mathematics. Open to Commonwealth and Departmental Honors students. Three hourly meetings weekly. Offered fall semester.

  

  • MATH 339 - Honors Tutorial

    (3 credits)
    Prerequisite: Consent of the department
    Special topics in mathematics. Open to Commonwealth and Departmental Honors students. Three hourly meetings weekly. Offered spring semester.


Middle School Education
  

  • MSED 199 - First Year Seminar

    (3 credits)
    Prerequisite: Open to all freshmen with a writing placement score of 3 or above or a SAT score of 500 or above. Students with 24 or more transfer credits will have this requirement waived.
    First Year Seminars (FYS) are writing-intensive, topic courses that introduce students to academic thought, discourse and practices. FYS courses prepare and orient students toward productive and fulfilling college careers by actively engaging them in a specific academic area of interest. Students will improve their writing, reading, research and basic information and technology skills while learning to work both collaboratively and independently. These courses will fulfill the First Year Seminar requirement and may fulfill other requirements for the core curriculum. Each course may fulfill different requirements and topics may change each semester. Only one FYS course may be taken for credit. (CFYS)
  

  • MSED 298 - Second Year Seminar (Speaking Intensive)

    (3 credits)
    Prerequisite: _ _ _ _ 199; Open to all sophomores and juniors who have completed ENGL 101, and the speaking skills requirement. Students with 54 or more transfer credits will have this requirement waived. Cannot be taken if _ _ _ _ 298 or _ _ _ _ 299 are taken for credit.
    Second Year Seminars (SYS) are speaking-intensive, topic courses that build on the academic skills and habits introduced in the First Year Seminar. SYS courses engage students in a specific academic area of interest and provide them with the opportunity to reinforce, share and interpret knowledge. Students will improve their speaking, reading, research and basic information and technology skills while building the connections between scholarship and action that are required for lifelong learning. These courses will fulfill the Second Year Seminar requirement and may fulfill other requirements for the core curriculum. Each course may fulfill different requirements and topics may change each semester. Only one SYS course may be taken for credit. (CSYS)
  

  • MSED 299 - Second Year Seminar (Writing Intensive)

    (3 credits)
    Prerequisite: _ _ _ _ 199; Open to all sophomores and juniors who have completed ENGL 101 and ENGL 102. Students with 54 or more transfer credits will have this requirement waived. Cannot be taken if _ _ _ _ 298 or _ _ _ _ 299 are taken for credit.
    Second Year Seminars (SYS) are writing-intensive, topic courses that build on the academic skills and habits introduced in the First Year Seminar. SYS courses engage students in a specific academic area of interest and provide them with the opportunity to reinforce, share and interpret knowledge. Students will improve their writing, reading, research and basic information and technology skills while building the connections between scholarship and action that are required for lifelong learning. These courses will fulfill the Second Year Seminar requirement and may fulfill other requirements for the core curriculum. Each course may fulfill different requirements and topics may change each semester. Only one SYS course may be taken for credit. (CSYS)
  

  • MSED 450 - Strategies of Teaching in the Middle School - History/Political Science

    (3 credits)
    Prerequisite: EDHM 210 and EDHM 235 and EDHM 335 and EDHM 445 and admission to the Professional Education Program
    Strategies, including methods, materials and media for teaching history/political science in the middle school are studied. Developing competency and versatility is stressed through simulations and guided teaching in area schools.

  

  • MSED 451 - Strategies of Teaching in the Middle School - English

    (3 credits)
    Prerequisite: EDHM 210 and EDHM 235 and EDHM 335 and EDHM 445 and admission to the Professional Education Program
    Strategies, including methods, materials and media for teaching English in the middle school are studied. Developing competency and versatility is stressed through simulations and guided teaching in area schools.

  

  • MSED 456 - Strategies of Teaching in the Middle School - Mathematics

    (3 credits)
    Prerequisite: EDHM 210 and EDHM 235 and EDHM 335 and EDHM 445 and admission to the Professional Education Program
    Developing competency and versatility is stressed through simulations and guided teaching in area schools.

  

  • MSED 465 - Strategies of Teaching in the Middle School - Integrated Science

    (3 credits)
    Prerequisite: EDHM 210 and EDHM 235 and EDHM 335 and EDHM 445 and admission to the Professional Education Program
    Strategies, including methods, materials and media for teaching are studied. Developing competency and versatility is stressed through simulations and guided teaching in area schools.

  

  • MSED 499 - Directed Study in Middle School Education

    (1-6 credits)
    Prerequisite: Consent of the department and adviser; formal application required
    Directed study is open to juniors, seniors and postbaccalaureate students who have demonstrated critical and analytical abilities in their studies and who wish to pursue a project independently. This course may be taken twice for a maximum of six credits.

  

  • MSED 503 - Directed Study

    (1-3 credits)
    Prerequisite: Consent of the department; formal application required
    Directed study is designed for the graduate student who desires to study selected topics in a specific field. For details, consult the paragraph titled “Directed or Independent Study” in the “College of Graduate Studies” section of this catalog. This course may be repeated for a maximum of six credits.


Middle School Education: Other Approved Courses
  

  • MSED 502 - Research
 

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