# Mathematics and Computer Science

- Mission Statement
- Faculty and Staff
- Majors
- Minors
- Certificates
- Course Descriptions
- Mathematics and Computer Science Department Contact Information

## Mission Statement

UW-Superior's Department of Mathematics and Computer Science provides majors and minors in Computer Science, Mathematics, and Mathematics Education. The programs provide a core of fundamental courses along with an array of electives that enable students to pursue special interests. Using this versatile, highly regarded program, students can choose a major that prepares them for a career or graduate study in Computer Science, Mathematics or Mathematics Education. Students also can pursue a career in Actuarial Science or Computer Security with appropriate choices of elective courses.

## Faculty and Staff

Bezroukov, Serguei - Professor

Glesener, Kristopher - Senior Lecturer

Gu, Xiaofeng - Assistant Professor

Kahler, Heather - Senior Lecturer

Kennedy, Diana - Lecturer

Khoroosi, Hossain - Sr Lecturer, Mathematics

Leck, Uwe - Associate Professor

Lynch, Shaun - Professor, Info Technology

Lynch, Patser - Academic Dept Assoc

Mattsson, Lisa - Senior Lecturer, Math & CSCI

Moen, Karen - Senior Lecturer

Riesgraf, Kristin - Lecturer, Math Program

Rosenberg, Steven - Associate Professor

Scott, Chad - Professor, Math

Toscano, Marilyn - Senior Lecturer

Tucker, Shin-Ping - Associate Professor

## Majors

- Computer Science Major (comprehensive) Requirements
- Computer Science Major (non-comprehensive) Requirements
- Mathematics Major Requirements
- Discrete Applied Mathematics Concentration (comprehensive) Requirements
- Mathematics Teaching Major - Early Adolescence-Adolescence Level (EA-A) Requirements

## Minors

- Computer Science Minor Requirements
- Computer Science Teaching Minor Early Adolescence-Adolescence Level (EA-A) Requirements
- Information Technology Minor Requirements
- Mathematics Minor Requirements
- Mathematics Teaching Minor -- Early Adolescence-Adolescence Level (EA-A) Requirements
- Mathematics Teaching Minor - Middle Childhood-Early Adolescence (MC-EA) Requirements

## Certificates

## Course Descriptions

CSCI - Computer Science | ||

Catalog Nbr. | Course Title/Course Topics | Credits |
---|---|---|

CSCI 101 | Introduction to Computer Science | 3.00 |

A first course in computer science providing a survey of current topics as well as core programming and related problems solving skills. Satisfies the mathematics requirement for General Education. MATH 095 is recommended for taking this course. | ||

MC Math/Computer Science | ||

Prerequisite for taking this course is the Mathematics Placement Test, or successful completion of MATH 095 (recommended). | ||

Fall and Spring Terms | ||

CSCI 102 | Introduction to Computers | 1.33 |

CSCI 170 | Programming and Technology for the Teaching of Mathematics | 3.00 |

Graphing and analysis of functions using graphing calculators, structured programming, use of software packages such as Maple and Geometer's Sketchpad. | ||

Spring Term Only | ||

CSCI 189 | Computer Science Elective | 1.00 - 12.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course. | ||

CSCI 201 | Introduction to Programming | 3.00 |

A first programming course for students with a serious interest in computing. Topics include: formal languages; data types and variables; control structures; primitive and reference data types; methods and modular programming; introduction to abstract data types and classes; simple algorithms; and programming conventions and style. Satisfies the mathematics requirement for General Education. Pre-requisite: Having completed MATH 102 is recommended when enrolling in this course. | ||

MC Math/Computer Science | ||

Fall and Spring Terms | ||

CSCI 202 | Object-Oriented Programming | 3.00 |

Continuation of CSCI 201. Programming course emphasizing the methodology of programming from an object-oriented perspective and software engineering principles. Topics include: data structure fundamentals; abstraction and encapsulation; inheritance; pointer and reference variables; memory management, operator overloading, recursion; various important algorithms; and file processing techniques. | ||

Prerequisite for taking this course is having completed CSCI 201 with a grade of C- or better. | ||

Spring Term Only | ||

CSCI 224 | Assembly Language Programming | 4.00 |

Fundamentals of Assembly language programming under DOS, Windows, and Linux operating systems. Topics include: data representation and fundamentals of computer architecture; memory access and organization; arithmetic and logical operations; functions and procedures, bit and string manipulation; pattern matching, computer graphics, interrupt handling and combining assembler with high-level languages. Lecture and Lab. | ||

Prerequisite for taking this course is an acceptable score on the Mathematics Placement Test or completion of an appropriate course. MATH 102 is recommended. | ||

Fall Term Only | ||

CSCI 281 | Special Projects | 1.00 - 4.00 |

Individual project to learn a programming language not normally offered in the current array of programming courses. Requires weekly progress reports and demonstration of learned skills through a project under the supervision of one or more instructors. May be repeated, but no more than a total of 12 credits may be earned from CSCI 281. Pass-Fail only. Prerequisites: Preliminary project plan and an independent study contract. | ||

Occasional by Demand | ||

CSCI 289 | Computer Science Elective | 1.00 - 12.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course. | ||

CSCI 303 | Algorithms and Data Structures | 4.00 |

Continuation of CSCI 202. Concepts and techniques for various algorithms and related data structures of particular interest to computer scientists. Emphasis on proper implementation of abstract data types and analysis of the complexity of algorithms. Topics include: stacks and queues, hashing, graphs and trees, data compression, game strategy, and related algorithms. | ||

CSCI 202 with a grade of C- or better is prerequisite for taking this course. | ||

Fall Term Only | ||

CSCI 327 | Embedded Systems Design | 3.00 |

A firmware and hardware development course for students with a serious interest in Micro-controller programming, Embedded Systems, or Engineering. Topics include: assembly and/or C programming of micro-controllers, interrupt processing, basic hardware and logic design, programming micro-controller peripherals like ADC, DAC, timers, PWM, comparators, programming and using serial interfaces, communication with user, basics of printed boards design. This course offered in different years is based on various micro-controller families. | ||

Completion of CSCI 224 is prerequisite for taking this course. | ||

Spring Term Every Other Year | ||

CSCI 331 | Computer Graphics and 3-D Modeling | 3.00 |

Data structures and algorithms used in computer graphics emphasizing programming rather than graphics design. Topics include: graphics algorithms, design and implementation of graphics applications, 2-D and 3-D modeling, and animation. Mathematical treatment of topics that require an understanding of fundamental concepts in calculus and matrix algebra. | ||

The prerequisite for taking this course is having completed CSCI 201. | ||

Fall Term Every Other Year | ||

CSCI 340 | Software Development and Professional Practice | 4.00 |

Best practices in the field of software development. Students complete a medium- scale software project as members of a development team. Topics include: professional ethics and responsibilities; multi-tier systems; software life cycle; requirements analysis; system modeling; implementation and testing; re-engineering and maintainability, Secure coding, system security, and risk management techniques are integrated into all facets of the development process. | ||

Prerequisite for taking this course is having completed CSCI 303 | ||

Spring Term Only | ||

CSCI 351 | Internet Programming | 3.00 |

Internet technologies for the World Wide Web such as XHTML, DHTML, CSS, CGI, JavaScript, Java, and Servlets. Topics include: converting HTML into XHTML/XML; page layout control with cascading style sheets, form processing and validation, working with images and JavaScript based animation, fundamentals of CGI programming under Unix/Linux environment, server-side programming with Perl and/or Unix shell; server configuration issues; working with multimedia objects; Java applets; and database access. | ||

The prerequisite for taking this course is having completed CSCI 201. | ||

Fall Term Every Other Year | ||

CSCI 356 | Database Systems | 3.00 |

Information Management (IM) plays a critical role in almost all areas where computers are used. The course discusses the representation, organization, transformation, and presentation of information, algorithms for efficient and effective access and updating of stored information, data modeling and abstraction; relational algebra and Structured Query Language (SQL); and database design, implementation, querying, and administration. | ||

Having completed CSCI 201 is recommended when enrolling in this course. | ||

Spring Term Every Other Year | ||

CSCI 371 | Programming Language Principles | 3.00 |

Survey of programming languages of current interest with in-depth examination of important features and characteristics. Includes an investigation of fundamental programming language concepts and design issues related to the procedural, functional, and object-oriented paradigms. Students conduct programming exercises to discover and experiment with features of several languages and to implement interpreters and compilers for simple languages of their own design. | ||

Prerequisite for taking this course is having completed CSCI 303 | ||

Spring Term Every Other Year | ||

CSCI 381 | Special Projects | 1.00 - 4.00 |

Various individual and small-group projects carried out under the supervision of one or more instructors. Requires weekly progress reports plus a final report and/or a final exam. May be repeated, but no more than a total of four credits may be earned from both MATH 381 and CSCI 381. Pass-Fail only. Preliminary project plan and an independent study contract required prior to enrollment. | ||

Occasional by Demand | ||

CSCI 389 | Computer Science Elective | 1.00 - 12.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course. | ||

CSCI 390 | Computer Science Internship | 1.00 - 4.00 |

Work in an approved position to gain experience in solving real problems using computer science, mathematics, and statistics. Interns may receive salaried appointments with cooperating companies. Pass-Fail only. | ||

Occasional by Demand | ||

CSCI 399 | Mathematical Sciences Seminar | 1.00 |

Students carry out individual investigations in current literature and present their findings to the entire department. Taken during senior year. Pass-Fail only. Independent study contract required prior to enrollment. | ||

Fall and Spring Terms | ||

CSCI 451 | Operating Systems | 4.00 |

In-depth study of the concepts, issues, and algorithms related to the design and implementation of operating systems. Topics include: process management, process synchronization and inter-process communication; memory management; virtual memory; interrupt handling; processor scheduling; device management; I/O; file systems; and introduction to networking and network security. Students conduct programming projects and case studies to investigate modern operating systems such as Solaris, Linux, and Windows. | ||

The prerequisite for taking this course is having completed CSCI 201. | ||

Spring Term Only | ||

CSCI 461 | Computer Architecture and Organization | 4.00 |

In depth study of fundamentals of computer hardware organization. Topics include: digital logic and circuits; finite state machines; computer arithmetic, machine instructions and assembly language; memory management and design; storage system design; I/O modules, operating system support; structure and function of computer processors, RISC vs. CISC architecture, micro-programmed control, and computer security. | ||

Prerequisite for taking this course is having completed CSCI 224. | ||

Spring Term Only | ||

CSCI 470 | Net-Centric Computing | 4.00 |

Introduces the structure, implementation, and theoretical and underpinnings of computer networking and the applications that have been enabled by that technology. Introduction to network security. | ||

The prerequisite for taking this course is having completed CSCI 201. | ||

Fall Term Only | ||

CSCI 481 | Special Topics | 1.00 - 4.00 |

Investigation of one or more topics of current interest not covered in other courses. Not intended for independent study projects. May be repeated, but no more than a total of eight credits may be earned from both MATH 481 and CSCI 481. | ||

Occasional by Demand | ||

CSCI 489 | Computer Science Elective | 1.00 - 12.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course. | ||

CSCI 498 | Individual Capstone Project | 1.00 |

Students carry out a project under the supervision of a faculty member, write a report, and present the results to the entire department. Taken during senior year. | ||

Fall and Spring Terms | ||

CSCI 499 | Group Capstone Project | 3.00 |

Group projects are carried out by students under supervision of a faculty member. Independent Learning Contract is required. | ||

The prerequisite for taking this course is having completed CSCI 340. | ||

Fall Term Only | ||

ITS - Information Technology and Systems | ||

Catalog Nbr. | Course Title/Course Topics | Credits |

ITS 108 | Business Computer Application | 3.00 |

Computer system applications in business are presented using microcomputer technology. Students gain hands-on experience with business software emphasizing presentation, spreadsheet, database, and Internet applications. Includes an overview of computer hardware and software. | ||

Fall and Spring Terms | ||

ITS 148 | Computer Applications for Productivity | 3.00 |

Designed for students interested in learning how to use a computer to increase their personal and professional productivity. Enhance computer skills by using a variety of productivity applications found in common software suites, such as word processing, presentation graphics, desktop publishing, spreadsheets, personal organizers, and others. Classes are tailored to the college student with emphasis on providing a hands-on experience to make learning and using computer software interesting and easy. | ||

Fall and Spring Terms | ||

ITS 189 | Information Technology and Systems Elective | 1.00 - 9.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-Superior course. | ||

ITS 211 | Visual Programming Fundamentals | 3.00 |

Introduces students to basic programming methods and techniques using the latest development tools. Designed for students who view themselves as nonprogrammers, but who have an interest in computer programming to create macros or to write simple applications. Students learn programming skills by writing and debugging simple routines that emphasize programming constructs such as variables, control structures, and data input and output. Object-oriented concepts are presented and practiced to enhance the experience. | ||

Spring Term Only | ||

ITS 230 | Introduction Technology and Systems | 3.00 |

Provides a stimulating experience for students with new perspectives on cutting-edge technology and systems. Illustrates how everyday computer technology is combined to form systems people and society depend upon. Covers core computer concepts, latest technological advances, and emerging trends in information system design and deployment. Arms participants with current knowledge about information technology used in a wide array of real-world applications. | ||

Spring Term Only | ||

ITS 289 | Information Technology and Systems Elective | 1.00 - 9.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-Superior course. | ||

ITS 335 | Web Page Authoring | 3.00 |

Build functional and appealing Internet websites using readily available commercial software to design and construct web pages. Considers various website strategies and layouts that enable web users. Create web pages that integrate multimedia applications to present content in an attractive and user friendly manner. Learn about measures of performance and how to test your website for functionality. Designed for students with a wide variety of backgrounds and interests, employing a hands-on approach. | ||

Fall Term Only | ||

ITS 342 | Management Information Systems | 3.00 |

Introduces topics and concepts of management information systems with emphasis on planning, organizing, and controlling user services and managing the system development process. Focuses on use of information system technologies in the business world from the standpoint of the end-user manager. | ||

Admission to DBE is prerequisite for taking this course. | ||

Spring Term Only | ||

ITS 346 | Database Management | 3.00 |

Learn the science of database management to include the organization, storage, and retrieval of data used in a wide range of applications. Basic theory is combined with practical examples to reinforce concepts presented in class. Students are encouraged to apply learned skills to projects in their particular areas of interest. Intended for the student with no or minimal exposure to database systems and uses state-of-the-art database management system software. | ||

Spring Term Only | ||

ITS 350 | Networking and Communications | 3.00 |

Discover the ways data moves between computers, network-enabled devices, and other communication technology using wired and wireless media. A broad range of applications are considered ranging from networked enterprise to mobile technology to the ubiquitous broadcast signals used to transmit television and radio programs. Emphasis is placed on networking and communication technology and how it used to connect people with each other and with the information they need. | ||

Fall Term Only | ||

ITS 360 | Computer Law, Ethics, and Intellectual Property | 3.00 |

Examines the impact computers and computer-based technology have had on people and society through the lens of computer law, ethics, and intellectual property. Designed to be a forum where students discuss and debate critical issues related to these areas. Students participate in exercises that stimulate critical thinking and prepare them to address complicated issues that provoke a wide range of opinions. | ||

Fall Term Every Other Year | ||

ITS 364 | Multimedia and Digital Entertainment | 3.00 |

Examines technology that has revolutionized multimedia and digital entertainment. Students are exposed to a wide array of subjects that range from devices, such as personal media players, gaming consoles, and high-definition television; to online communities, such as social networking sites, blogs, and chat rooms; to computer-based simulated environments, such as virtual worlds, avatars, and role playing games. Attention is given to the development and production of the technology's hardware and software as well as emerging industries and the opportunities it creates. | ||

Spring Term Every Other Year | ||

ITS 370 | Information Assurance and Security | 3.00 |

Provides the knowledge of information assurance and security necessary for modern programmers, analysts, and other IT professionals and also important for business managers, auditors and many other careers. Covers a diverse range of topics recommended by the Association for Computing Machinery, including operational issues, policies and procedures, attacks and defense mechanisms, risk analysis, recovery and business continuity, data security, cryptography, and digital forensics. | ||

Fall Term Every Other Year | ||

ITS 380 | Enterprise and E-Business Systems | 3.00 |

A close look at technology that enables businesses to leverage information to their strategic advantage. Examines the systems businesses use to improve productivity, manage information, market and sell product, streamline supply chains, and compete on a global scale that has led to a revolution in the business enterprise. Students are guided through systems that include enterprise resource planning, customer relationship management, supply chain management, middleware, enterprise application integration, and e-commerce. | ||

Spring Term Only | ||

ITS 381 | Special Projects | 1.00 - 4.00 |

Various individual and small-group projects carried out under the supervision of one or more instructors. Requires weekly progress reports plus a final report and/or a final exam. May be repeated, but no more than a total of four credits may be earned from both ITS 381 and CSCI 381. Pass-Fail only. Prerequisites: Preliminary project plan and an independent study contract. Offered as needed. | ||

Occasional by Demand | ||

ITS 389 | Information Technology Elective | 0.00 - 9.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-Superior course. | ||

ITS 481 | Special Topics | 1.00 - 4.00 |

In-depth study of specialized current topics in information technology and systems. May be repeated when topics are different. Offered as needed. | ||

Occasional by Demand | ||

ITS 489 | Information Technology Elective | 0.00 - 9.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-Superior course. | ||

ITS 499 | Capstone Project | 1.00 |

Group projects are carried out by students. Students will integrate an information technology and systems (ITS) application into the senior experience in their program of study. Requires weekly progress reports and demonstration of learned skills through a project under the supervision of one or more instructors. | ||

Occasional by Demand | ||

MATH - Mathematics | ||

Catalog Nbr. | Course Title/Course Topics | Credits |

MATH 090 | Fundamentals of Mathematics | 3.00 |

Review of pre-algebra mathematics with an introduction to basic algebra. Topics include: real numbers, with an emphasis on fractions and decimals; percent notation; exponents; algebraic expressions; solving equations and inequalities; polynomials; and an introduction to graphing linear equations. | ||

Fall and Spring Terms | ||

MATH 095 | Fundamentals of Algebra | 3.00 |

Review of elementary algebra topics typically studied in high school. Topics include: the real number system; linear equations and inequalities and their graphs; systems of linear equations and inequalities; polynomials, factoring polynomials; quadratic equations. | ||

Prerequisite for taking this course is either having completed MATH 090 with a grade of C- or better or having placed into this course through a Math Placement test. | ||

Fall and Spring Terms | ||

MATH 102 | Intermediate Algebra | 2.00 |

Review of intermediate algebra topics typically studied in high school. Topics include: rational expressions and equations; rational exponents; radical expressions and equations; complex numbers; functions; quadratic equations and functions; graphing techniques, conic sections; exponential and logarithmic functions and equations. | ||

Prerequisite for taking this course is having completed MATH 095 with a grade of C- or better or an acceptable score in the math placement test. | ||

Fall and Spring Terms | ||

MATH 112 | Introduction to Contemporary Mathematics | 3.00 |

A liberal arts mathematics course presenting mathematics as a tool used by a wide range of professionals in modern society. Real-life examples are used to promote understanding of mathematics and its relationship to other areas of study. Mathematical problem solving is shown to influence everything from the success of savvy entrepreneurs to the fairness of voting practices. Examples such as the Traveling Salesman Problem and Arrow's Impossibility Theorem are taken from management science, statistics, social science and computer science. Satisfies the Mathematics requirement for general education. Students enrolling in MATH 112 should have an acceptable score on the Mathematics Placement Test or have completed an appropriate remedial course. MATH 095 is recommended. | ||

MC Math/Computer Science | ||

Fall and Spring Terms | ||

MATH 115 | Precalculus | 5.00 |

Covers the algebra and trigonometry required for Calculus and Analytic Geometry. Topics include review of intermediate algebra; composite and inverse functions; polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, identities, and equations; the binomial theorem; fundamentals of analytic geometry; and the conic sections. | ||

MC Math/Computer Science | ||

Prerequisite for taking this course is completion of MATH 102 with a grade of C- or better, or acceptable math placement test score. | ||

Fall and Spring Terms | ||

MATH 130 | Elementary Statistics | 4.00 |

Introductory course for students of all disciplines. Includes descriptive statistics, the binomial and normal distributions, confidence intervals, linear regression, correlation, the t-distribution, the Chi-square distribution, nonparametric tests of statistical inference, and understanding statistics in many different fields. Problems are taken from various fields dependent on statistical decision making. | ||

MC Math/Computer Science | ||

Prerequisite for taking this course is having completed MATH 095 with a grade of C- or better or an acceptable score in the math placement test. | ||

Fall and Spring Terms | ||

MATH 151 | Calculus for Business, Life, and Social Sciences | 3.00 |

A short course in calculus including concepts and problem-solving techniques for students in business, economics, biology and the social sciences. Topics include algebraic, exponential and logarithmic functions; derivatives, and optimization problems; partial derivatives and Lagrange multipliers as time permits. Prerequisite: acceptable score on the Mathematics Placement Test or completion of MATH 102 with a grade of at least C-. | ||

MC Math/Computer Science | ||

Completion of MATH 102 with a grade of C- or better, or acceptable math placement test score is prerequisite for enrolling in this course. | ||

Fall and Spring Terms | ||

MATH 189 | Mathematics Elective | 1.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course. | ||

MATH 230 | Foundations of Mathematics for Elementary Education | 3.00 |

A course in mathematical concepts designed to meet the mathematical needs of students in the Elementary Education program. Topics include: sets and set operations; numeration systems; number systems and their arithmetic; concepts of algebra; fundamentals of two- and three-dimensional geometry; and an introduction to probability and statistics. | ||

MC Math/Computer Science | ||

Successful completion of MATH 102 with a grade of C- or better is prerequisite for taking this class. | ||

Fall and Spring Terms | ||

MATH 240 | Calculus and Analytic Geometry I | 4.00 |

A first course in the fundamentals of calculus. Topics include: real numbers; functions; limits; continuity; derivatives, integrals; and applications. Prerequisite: acceptable score on the Mathematics Placement Test or completion of MATH 115 with a grade of at least C- or equivalent. | ||

MC Math/Computer Science | ||

MATH240 prerequisite | ||

Fall and Spring Terms | ||

MATH 241 | Calculus and Analytic Geometry II | 4.00 |

Continuation of MATH 240. Topics include: conic sections; transcendental functions; techniques of integration; indeterminate forms; improper integrals; and infinite series. | ||

Prerequisite for taking this course is having completed MATH 240 with a grade of C- or better. | ||

Fall and Spring Terms | ||

MATH 242 | Calculus and Analytic Geometry III | 4.00 |

Continuation of MATH 241. Topics include: three-dimensional analytic geometry; vectors; partial derivatives; multiple integrals; line integrals; and surface integrals. Prerequisite: A grade of C- or better in MATH 241. | ||

Prerequisite for taking this course is having completed MATH 241 with a grade of C- or better. | ||

Spring Term Only | ||

MATH 289 | Mathematics elective | 1.00 - 12.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course. | ||

MATH 310 | Introduction to Abstract Mathematics | 3.00 |

Fundamentals of formal mathematics emphasizing mathematical writing and types of formal proof. Includes significant coverage of topics in logic, set theory and number theory. Prerequisite: MATH 115. | ||

Prerequisite for taking is course is successful completion of MATH 115, MATH 240, MATH 241, or MATH 242. | ||

Fall and Spring Terms | ||

MATH 315 | Linear Algebra | 3.00 |

Introduction to the algebra and geometry of two-and three-dimensional space and extension to n-dimensional space. Topics include: line and coordinate vectors; systems of linear equations and their solution by reduction methods; matrix algebra; determinants; fundamentals of abstract vector spaces; linear independence, dimension theorems; linear transformations; eigenvalues and eigenvectors; diagonal matrices; quadratic forms; inner products; and the Gram-Schmidt orthogonalization. | ||

Successful completion of MATH 310 is prerequisite for taking this class. | ||

Spring Term Only | ||

MATH 320 | Discrete Structures | 4.00 |

Continuation of MATH 310. Investigation of concepts of non-calculus mathematics used in computer science, operations research and other areas of applied mathematics. Topics include: relations and functions, recurrence relations, combinatorics, graph theory, and related algorithms. | ||

Successful completion of MATH 310 is prerequisite for taking this class. | ||

Fall Term Only | ||

MATH 344 | Differential Equations | 4.00 |

Introduction to the theory of ordinary differential equations including some coverage of series solutions, as time permits. Also covers various classical applications, such as spring mass systems. Prerequisite: MATH 241. | ||

Prerequisite for taking this course is having completed MATH 241 with a grade of C- or better. | ||

Fall Term Every Other Year | ||

MATH 362 | Topics In Geometry | 3.00 |

Modern treatment of topics from Euclidean geometry with an introduction to other geometries. Appropriate for students in Elementary or Secondary Education or Secondary school mathematics teachers. | ||

Successful completion of MATH 310 is prerequisite for taking this class. | ||

Fall Term Every Other Year | ||

MATH 370 | Probability | 3.00 |

A first course in probability theory intended for students in mathematics, pre-engineering, and the sciences. | ||

Having satisfactorily completed MATH 241 and MATH 310 are prerequisite for taking this course. | ||

Fall Term Every Other Year | ||

MATH 371 | Statistics | 4.00 |

Calculus-based statistics emphasizing applications intended for students in applied mathematics, economics and the sciences. Topics include: estimation and prediction; hypothesis testing; linear and multiple regression; F and t tests; analysis of variance; and non-parametric statistics. Prerequisite: MATH 241 and MATH 310. MATH 242 and MATH 370 are recommended. | ||

Fall Term Every Other Year | ||

MATH 380 | Introduction to Mathematical Modeling | 4.00 |

Applied mathematics course emphasizing probabilistic models. Topics include: discrete-and continuous-time Markov chains; Monte Carlo estimates; queuing theory; reliability theory; Brownian motion; and financial mathematics. | ||

Prerequisite for taking is course is having completed MATH 241 and either MATH 370 or MATH 371. MATH 242 is recommended. | ||

Spring Term Every Other Year | ||

MATH 381 | Special Projects | 1.00 - 4.00 |

Various individual and small-group projects carried out under the supervision of one or more instructors. Requires weekly progress reports plus a final report and/or a final exam. May be repeated, but no more than a total of four credits may be earned from both MATH 381 and CSCI 381. Pass-Fail only. Preliminary project plan and an independent study contract required prior to enrollment. | ||

Occasional by Demand | ||

MATH 385 | Introduction to Operations Research | 3.00 |

Topics include Mathematical programming, (Linear programming problems, Transportation problems, Dynamic programming, Game Theory), Queuing Theory, Inventory Theory, Reliability Theory, and Simulation techniques. Prerequisites: MATH 301 and MATH 370. | ||

Prerequisite for taking this course is having completed MATH 315 and MATH 370. | ||

Spring Term Every Other Year | ||

MATH 389 | Mathematics Elective | 1.00 - 9.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course. | ||

MATH 390 | Mathematical Sciences Internship | 1.00 - 4.00 |

Work in an approved position to gain experience in solving real problems using computer science, mathematics, and statistics. Interns may receive salaried appointments with cooperating companies. Pass-Fail only. | ||

Occasional by Demand | ||

MATH 391 | Putnam Mathematical Competition | 0.00 - 2.00 |

Preparation for the national Putnam Mathematics Contest. Includes review of previous examination problems and lectures on selected topics. May be repeated for a total of three credits. Pass-Fail only. | ||

Fall Term Only | ||

MATH 421 | Theory of Computation | 4.00 |

Thorough introduction to automata, formal languages and computability. Topics include: models of computation; regular and context-free languages; finite and pushdown automata; Turing machines; unsolvable decision problems; and fundamentals of computational complexity. Topics include: axioms of probability; combinatorial analysis; conditional probability; independence; discrete and continuous random variables; probability distributions; expectation; variance; Poisson processes; and limit theorems. | ||

Prerequisite for taking this course is having completed MATH 320. | ||

Spring Term Every Other Year | ||

MATH 425 | Algorithm Design and Analysis | 4.00 |

Study of the design and analysis of algorithms that are based on elementary data structures such as queues, stacks and trees. Some graph and network algorithms (shortest paths, connectivity, coloring, flows, matchings), geometric algorithms (convex hulls, range search, nearest neighbors), NP-complexity, approximation algorithms (vertex cover, traveling salesman, scheduling), and introduction to randomized algorithms. Introduction to algorithm design techniques, including greedy algorithms, divide-and-conquer, and dynamic programming. Lower and upper bounds of program complexity are analyzed. Introduction to algorithms used in the area of information security. | ||

The prerequisite for taking this course is having completed CSCI 320 | ||

Spring Term Every Other Year | ||

MATH 437 | Cryptography | 4.00 |

Study of the theory of cryptography together with applied programming projects. Topics include: discrete probability spaces; Shannon's theory of information and perfect secrecy; classical cryptosystems and cryptanalysis; authentication and key exchange; public key cryptosystems; elementary number theory, primality checking, the RSA cryptosystem; and Advanced Encryption Standard (AES). | ||

Prerequisite for taking this course is completion of MATH 310 and CSCI 201. | ||

Fall Term Every Other Year | ||

MATH 440 | Real Analysis | 4.00 |

Fundamental concepts of limit, continuity, differentiability, and integrability of functions of one variable; convergence and uniform convergence of infinite series, and improper integrals. | ||

Successful completion of MATH 242 and MATH 310 are prerequisite for taking this course. | ||

Fall Term Every Other Year | ||

MATH 450 | Topology | 4.00 |

Topology of Euclidean space, metric spaces, topological spaces, bases and neighborhoods, Hausdorff property, continuity, homeomorphisms and embeddings, connectivity, and compactness. | ||

The prerequisites for taking this course is having completed MATH 310 and 240. | ||

Spring Term Every Other Year | ||

MATH 455 | Abstract Algebra | 4.00 |

Introduction to algebraic systems including groups, rings, integral domains and fields, homomorphisms and isomorphisms. | ||

Successful completion of MATH 310 is prerequisite for taking this class. | ||

Spring Term Every Other Year | ||

MATH 471 | Introduction to Complex Variables | 4.00 |

Introduction to the study of analytic functions including series, residues, conformal mapping and applications. | ||

Prerequisite for taking this course is having completed MATH 242. | ||

Fall Term Every Other Year | ||

MATH 475 | Numerical Analysis | 4.00 |

Study of theory and applications of computational techniques for mathematical solutions emphasizing rapid approximation and error analysis. Topics include: solution to equations in one variable; polynomial approximations to functions; error analysis; numerical solutions to ordinary differential equations; boundary value problems. | ||

Prerequisite for taking this course is having completed MATH 242. | ||

Fall Term Every Other Year | ||

MATH 481 | Special Topics | 1.00 - 4.00 |

In-depth study of specialized current topics in mathematical sciences. May be repeated when topics are different. | ||

Occasional by Demand | ||

MATH 489 | Mathematics Elective | 1.00 - 9.00 |

Transfer credits ONLY from another accredited institution not equivalent to a UW-S course. | ||

MATH 498 | Mathematics Capstone | 1.00 |

Students carry out individual investigations in current literature and present their findings to the entire department. Taken during senior year. | ||

Fall and Spring Terms |

## Mathematics and Computer Science Department Contact Information

Mathematics and Computer Science

University of Wisconsin - Superior

Swenson Hall 3030

Belknap and Catlin Ave.

P.O. Box 2000

Superior, WI 54880**Phone:** 715-394-8028**Email:** math-csci@uwsuper.edu