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Home / College Catalog / 2016-18 / Academic Programs / School of Lib. Arts & Sci. / Sciences

Draft in progress

The Mathematics/Computer Science Program: Courses

Math Fluency Prerequisites: Please note that math fluency may be a prerequisite in some mathematics/computer science courses. In such cases, all students must satisfy this requirement before enrolling in the course.

Communicating Quantitative Information
MAT 1020
/ 4 credits / Every semester
Students learn basic concepts in quantitative reasoning (numbers, probabilities, basic statistics) and the creation, use, and evaluation of quantitative information (databases, searches, spreadsheets, interactive graphics). This course prepares students for civic engagement by using current events (past and current news stories) as the focal point of study. Students are required to post to online discussion forums, complete short writing assignments, and make presentations on topics involving quantitative reasoning.

Mathematics for Contemporary Life
MAT 1060
/ 4 credits / Every semester
Students learn basic concepts in quantitative reasoning (number systems, data manipulation, basic statistics), with emphasis on problem solving using computational methods. This course uses a textbook and focuses on applications related to consumer issues to develop computational and problem-solving skills. Students learn to transform data into information and apply quantitative methods to evaluate information and solve real-world problems.

MAT 1150
/ 4 credits / Every semester
Prepares students with limited backgrounds in high school mathematics for calculus. Topics include absolute values and inequalities, the properties of functions, graphs, logarithms, fractional exponents, and trigonometry.
Prerequisite: Math fluency

Programming Games
MAT 1420
/ 4 credits / Every semester
An introduction to traditional and modern concepts in programming. Traditional concepts covered include variables, expressions, data representation, logic, arrays, functions, and pseudo-random numbers. The modern concepts include graphical constructs and event-driven programming. This course uses familiar games as projects, because implementing games requires an understanding of important programming concepts and attention to the human-computer interface.

Introduction to Programming with Max
MAT 1480
/ 4 credits / Spring
An introduction to fundamental computer programming concepts, using a graphical programming language specifically designed to leverage technology for creative use in music, theatre, video, and dance.

Calculus I
MAT 1500
/ 4 credits / Every semester
The basic concepts of the differential and integral calculus. Focus is on the applicability of these topics to an array of problems. The first course in a three-semester series.
Prerequisite: A minimum grade of C in MAT 1150 or equivalent

Calculus II
MAT 1510
/ 4 credits / Spring
A continuation of MAT 1500. Topics include differentiation and integration of logarithmic, exponential, and inverse trigonometric functions; techniques of integration; arc length; infinite series; and improper integrals. Applications include work, growth, and decay problems and volumes of solids of revolution.
Prerequisite: A minimum grade of C in MAT 1500

Computer Science I
MAT 1520
/ 4 credits / Every semester
An introduction to problem solving, using computers. Emphasis is on programming, including the study of syntax, semantics, logical structures, graphics, and object-oriented programming. General topics of algorithm development, formulating problems, finding methods for computer solutions, differences among computer languages, and trends in the industry are also discussed. Experience is acquired through hands-on labs and several programming assignments.

Computer Science II
MAT 1540
/ 4 credits / Spring
A continuation of MAT 1520. While programming is the main focus, other concepts central to the field are introduced, including data representation, algorithms, recursion, Boolean logic, and some data structures. Some of the social, legal, and ethical issues related to computers are also investigated. Students have hands-on experience with multiple programming languages, including Processing, Python, and Java.
Prerequisite: A minimum grade of C in MAT 1520 or equivalent

Introductory Statistics
MAT 1600
/ 4 credits / Every semester
Statistics are used everywhere in the modern world. This course covers descriptive statistics, including measures of central tendency, methods of dispersion, and graphs; and inferential statistics, including normal distributions and hypothesis testing, Pearson correlation, and linear regression.
Prerequisite: High school algebra skills

Computer Architecture
MAT 2700
/ 4 credits / Special topic (offered irregularly)
An introduction to basic concepts in computer hardware, with a focus on personal computers. Topics include historical trends, Boolean logic and computer arithmetic, organization (CPU, cache, memory, bus, peripherals), instruction set design, interrupts and exceptions, and performance metrics. Students become familiar with the critical components of all computers, including embedded devices, and build a computer from standard parts.
Prerequisite: A minimum grade of C in MAT 1520 or equivalent

Geometry and Art
MAT 2800
/ 4 credits / Special topic (offered irregularly)
The role of geometry in drawing, sculpture, and architecture is extensive. Topics include Euclidean plane and solid geometry, symmetry, tilings of the plane, projective geometry, and the golden ratio. The geometric basis of perspective is pursued in a historical setting.

Discrete Mathematics
MAT 3120
/ 4 credits / Special topic (offered irregularly)
This course in combinatories includes elementary probability, linear programming, difference equations, graph theory, and enumeration techniques.
Prerequisite: A minimum grade of C in MAT 1150

Calculus III
MAT 3150
/ 4 credits / Fall
A continuation of MAT 1500 and 1510. Topics include polar coordinates, vectors in two and three dimensions, parametric equations, quadric surfaces, partial derivatives, multiple integrals, directional derivatives, gradients and their applications, and line integrals.
Prerequisite: A minimum grade of C in MAT 1510

Differential Equations
MAT 3160
/ 4 credits / Alternate years
Many phenomena in scientific situations are characterized by differential equations. Topics include the mathematical formulation of problems and solution techniques, linear equations and systems, series methods, and nonlinear first- and second-order equations.
Prerequisite: A minimum grade of C in MAT 3150

Linear Algebra
MAT 3170
/ 4 credits / Spring
Topics include linear equations, row reduction, matrix algebra, determinants, vectors in three dimensions, abstract vector spaces, dimension, linear transformations, eigenvalues, diagonalization, and applications to other sciences.
Prerequisite: A minimum grade of C in MAT 1510

Advanced Calculus
MAT 3210
/ 4 credits / Special topic (offered irregularly)
Topics include transformations and mappings; Jacobians; curves and surfaces; vectors and vector fields; gradient, divergence, curl, line, and surface integrals; Green’s theorem; divergence theorem; Stoke’s theorem; Lagrange multipliers; uniform convergence of series; and point-set topology.
Prerequisite: A minimum grade of C in MAT 3150

Probability and Statistics
MAT 3410
/ 4 credits / Special topic (offered irregularly)
Probability in discrete and continuous sample spaces, combinatorics, distributions, random variables, Poisson processes, and Markov chains, with applications to the natural and social sciences. Also includes mathematical bases of common statistical tests with applications, sampling, hypothesis testing, and distributions used in statistics.
Prerequisite: A minimum grade of C in MAT 3150

Number Theory
MAT 3430
/ 4 credits / Alternate years (Fall)
Topics in elementary number theory, including primes and other special categories of numbers, Fibonacci sequence, Pascal’s Triangle, prime decomposition, Pell equation, Phi function, modulus equations, and cryptography. Programming is included to enhance understanding of the topics and to strengthen skills.
Prerequisite: A minimum grade of C in MAT 1150 and any programming course (MAT 1420, MAT 1520, NME 1450), or permission of instructor

Creating User Interfaces
MAT 3440
/ 4 credits / Alternate years
Introduces concepts and skills used in analyzing and designing interfaces for computer applications. As students study techniques and “rules of thumb,” they discover that the design and implementation of each interface is a unique challenge, which requires creativity and consideration of technical, aesthetic, and psychological factors. Includes the use of XML, XSL, XHTML-MP, VoiceXML, and usability studies.
Prerequisite: A minimum grade of C in MAT 1420 or 1520

Creating Databases for Web Applications
MAT 3530
/ 4 credits / Alternate years
Introduces concepts and tools used to build and operate applications that involve information stored in databases. Students analyze and plan databases using entity-relationship modeling and build database applications using both commercial and open-source tools. Includes discussion of database reliability, integrity, and robustness, and the evolving interplay of proprietary vs. open-source software.
Prerequisite: A minimum grade of C in MAT 1420 or 1520

Social Software
MAT 3540
/ 4 credits / Alternate years
Social software is explored both from technical and critical perspectives. Hands-on work in conceptualizing, designing, and developing social software projects is informed by examining the evolution of social software and its impact on society. Projects may range in complexity from simple websites to data-driven web applications to real-time applications.
Prerequisite: A minimum grade of C in MAT 1420, NME 1450, or MAT 1520

Numerical Analysis
MAT 3550
/ 4 credits / Special topic (offered irregularly)
The theory and implementation of numerical algorithms. Topics include interpolation, approximation, numerical solution of nonlinear equations, numerical integration, numerical linear algebra, and error analysis.
Prerequisite: A minimum grade of C in MAT 1510 and programming experience, or permission of instructor

Operations Research and Data Science
MAT 3555
/ 4 credits / Alternate years (Spring)
Topics from the traditional fields of operations research, modeling, and decision-making and the new fields of data mining, data analytics, and “Big Data.” Challenges include acquiring large amounts of data, interpreting data that may be unstructured, making decisions based on correlations found in data, setting up calculations, and communicating complex results. The course involves applications of theory to real-world problems.
Prerequisite: A minimum grade of C in MAT 1520, and MAT 1500 or 1600 or PSY 2320

Introduction to Physical Computing: Getting Outside the Box
NME 3560
Refer to New Media Courses (School of Film and Media Studies) for description.

History of Mathematics Seminar
MAT 3610
/ 4 credits / Special topic (offered irregularly)
Students study topics in classical mathematics, beginning with the development of arithmetic, algebra, and geometry in Egypt, Babylon, and Greece from approximately 2000 B.C. to 300 A.D. The course continues with a brief look at Islamic mathematics, emphasizing the value of Hindu-Arabic numerals and efficient algorithms for basic arithmetical operations. The subsequent explosion of European mathematics, culminating with the calculus and its effects on technology, is also covered. The goal is to understand the mathematics as well as the social and historical impact of these developments. Limited to mathematics/computer science majors.
Prerequisite: A minimum grade of C in MAT 1500 and 1510, and permission of instructor

Networking and Security
MAT 3650
/ 4 credits / Alternate years
Covers the key conceptual and practical aspects of networking and security, which are increasingly important in the era of the internet, Windows, and Unix. TCP/IP communications protocols are explored at multiple levels of the protocol stack. Performance and reliability issues are also studied, using campus intranet and internet connections as well as protocol analyzer and network management tools. Security topics include encryption, authentication, and the likely change from clear-text to Kereberos-type tools.
Prerequisite: A minimum grade of C in MAT 1520 or equivalent

Advanced Security
MAT 3660
/ 4 credits / Special topic (offered irregularly)
Builds on the concepts of MAT 3650. Building and maintaining networks, servers, and individual workstations to prevent malicious interference are growing concerns. Topics include viruses, worms, spam, spyware, denial-of-service attacks, open-source vs. proprietary systems, and legal and international efforts.
Prerequisite: A minimum grade of C in MAT 3650 or equivalent

MAT 3670
/ 4 credits / Special topic (offered irregularly)
An introduction to concepts and technologies for applications in the physical world in which (a) motors, actuators, and sensors are critical devices and (b) real-world variability has significance not present in the virtual world of data manipulation. Topics include industrial robotics, spying, and ethical issues. During and outside of class, students build autonomous vehicles in teams. Robot sumo or interactive art installation are possibilities.
Prerequisite: A minimum grade of C in MAT 1420 or 1520, or equivalent

Informatics in Biology and Medicine
MAT 3680
/ 4 credits / Special topic (offered irregularly)
An overview of the field of biomedical informatics, combining perspectives from biology, medicine, and computer science. Topics include principles of acquisition and storage of biomedical data, principles of database management, the role of the web in the medical and biological sciences, bioinformatics resources on the web, elements of statistics and data mining issues, decision making and decision trees, and legal and ethical issues.
Prerequisite: A minimum grade of C in an approved course that satisfies the core curriculum requirement in mathematics, or permission of instructor

Data Structures
MAT 3710
/ 4 credits / Fall
Covers standard data structures (e.g., lists, stacks, heaps) and object-oriented algorithms important to software development. Tradeoffs between time and space are examined, and examples and projects are taken from the domain of computer music (no musical expertise is required) or another specific problem domain. Includes programming assignments and instruction in the programming languages used.
Prerequisite: A minimum grade of C in MAT 1520 and 1540

Mobile Computing
MAT 3755
/ 4 credits / Alternate years
A study of cellular networks and mobile computing, with emphasis on principles and technologies that can greatly improve the mobile user experience. Topics include mobile app development (iOS/Swift and Android/Java programming), mobile device power models and energy profiling, basics of 3G/LTE, interaction with cellular networks, mobile cloud computing platforms, and mobile platform security and privacy.

Mobile Media
MAT 3765
/ 4 credits / Alternate years
A hands-on exploration of how mobile technology enables new forms of media creation and consumption, with a focus on social and participatory aspects. The mobile web, geocoding, QR codes, augmented reality, mobile apps, and more are covered. Students use HTML 5 and Javascript for development.
Prerequisite: MAT 1540 or permission of instructor

Tutorial and Independent Study
MAT 3996
and 3997 / 1–3 credits / Every semester
Students with special interests may study independently under the sponsorship of a qualified faculty member. Independent studies in general subjects are permitted if the board of study offers no formal course covering the material. Independent study may not be substituted for any course specifically required, except with permission of the board of study.

Abstract Algebra
MAT 4180
/ 4 credits / Special topic (offered irregularly)
Groups, subgroups, cyclic groups, permutation groups, isomorphisms, external and internal direct products, fundamental theorem of finite abelian groups, cosets and Lagrange’s theorem, normal subgroups, factor groups, group homorphisms, rings, integral domains, ideals, unique factorization domains, and fields.
Prerequisite: A minimum grade of C in MAT 3170 or permission of instructor

Topics in Advanced Mathematics
MAT 4225
/ 4 credits / Alternate years
Topics are selected from (a) group theory: groups, subgroups, symmetric group, dihedral group, cyclic groups, Zn, cosets, homomorphism and isomorphism, and applications; (b) point-set topology: open and closed sets, limit points, Cauchy sequences, and Bolzano-Weierstrass theorem; and (c) analysis: axiom of continuity, least upper bounds, nested intervals, uniform continuity, Heine-Borel theorem, theory of integration, series, and uniform convergence.
Prerequisite: A minimum grade of C in MAT 3150

Topics in Advanced Computing
MAT 4230
/ 4 credits / Alternate years
Topics are selected from computability, complexity, artificial intelligence, machine learning, programming languages, data mining, informatics in biology and medicine, cryptography, and other application areas. This course does include topics in theoretical computer science, which has a strong mathematical component, as well as attention to current practical problems. Includes oral presentations by students on approved topics of their choosing.
Prerequisite: A minimum grade of C in MAT 1540 or permission of instructor

Graph Theory with Applications
MAT 4410
/ 4 credits / Alternate years
Topics include graphs, subgraphs, cographs, paths, cycles, connectivity, Eulerian and Hamiltonian graphs, adjacency matrices, trees, planarity, chromatic numbers, eccentricities, extremal graph theory, product graphs, and digraphs. Includes applications and a research project.
Prerequisite: Permission of instructor

MAT 4520
/ 4 credits / Special topic (offered irregularly)
An introduction to concepts and methods of theoretical computer science: what it means for something to be computable (finite state automata, formal languages, Turing machines) and how to measure resources used to solve problems (Big Oh notation, P, NP). This course brings together the two parts of the major in mathematics/computer science and provides historical background as well as insight into current issues.
Prerequisite: A minimum grade of C in MAT 1540

Mathematics Senior Seminar I
MAT 4880
/ 1 credit / Fall
Explores advanced topics in selected areas of mathematics. Includes required oral presentation by students. Required for seniors majoring in mathematics/computer science.

Mathematics Senior Seminar II
MAT 4890
/ 1 credit / Spring
Explores advanced topics in selected areas of mathematics. Oral presentation by students required. Required for seniors majoring in mathematics/computer science.

Senior Project I and II
SPJ 4990
and 4991 / 4 credits (per semester) / Every year
Two-semester independent study (8 credits total) leading to a baccalaureate thesis. The project and thesis may take one of several forms. Research may be carried out in a faculty member’s area of interest and expertise. Library work may be done on a topic in mathematics or computer science, or on the history or philosophy of mathematics. A computer project may be written. Internships at companies that use a student’s mathematical abilities or computer knowledge are also possible.

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Mathematics / Computer Science:

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Academic Requirements

Minor in Mathematics/
Computer Science