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Discrete Applied Mathematics Concentration

Preparation for Graduate Study

Mathematics Major -- Secondary Education

Internship and Professional Practice

Mathematics Minor -- Secondary Education

**
Mathematics**

Faculty and Academic Staff

Sergei Bezorukov, Associate Professor

Victor Piotrowski, Professor

Steven J. Rosenberg, Assistant Professor

Chad H. Scott, Professor

Marilyn Toscano, Senior Lecturer

Contributing Academic Staff

Dorothy Anway, Senior Lecturer

Hossain Khoroosi, Senior Lecturer

Daniel Rau, Senior Lecturer

Courses are offered in Computer Science, Mathematics, and Mathematics Education. The curriculum provides fundamental courses as well as a variety of electives for those with special interests. Students may choose a major that prepares them for a career and/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. More details on programs offered by the Department of Mathematics and Computer Science are presented below and at http://math.uwsuper.edu.

Mathematics major programs include Liberal Arts, Discrete Applied Mathematics (comprehensive, no minor required), and Secondary Education. Mathematics minor programs include Liberal Arts, Secondary Education and Elementary Education.

A Computer Science degree can be obtained with a comprehensive major or a Liberal Arts major that requires an additional minor or major. Computer Science minor programs include Liberal Arts and Secondary Education.

All major programs permit choices of courses appropriate to individual interests, which should be made in consultation with a Mathematics and Computer Science faculty advisor.

Mathematics Major (Liberal Arts) prepares students for careers in mathematics, science and research, or for graduate study.

A minimum of 36 credits, including:

CSCI 201 Introduction to Programming...................................3 credits

MATH 240 Calculus and Analytic Geometry I.........................4 credits

MATH 241 Calculus and Analytic Geometry II .......................4 credits

MATH 242 Calculus and Analytic Geometry III......................4 credits

MATH 310 Introduction to Abstract Mathematics...................3 credits

MATH 315 Linear Algebra.....................................................3 credits

MATH 399 Mathematical Sciences Seminar............................1 credit

At least one of:

MATH 370 Probability...........................................................3 credits

MATH 371 Statistics..............................................................4 credits

MATH 380 Introduction to Mathematical Modeling................4 credits

At least two of:

MATH 421 Theory of Computation........................................4 credits

MATH 437 Cryptography......................................................4 credits

MATH 440 Real Analysis.......................................................4 credits

MATH 455 Abstract Algebra ................................................4 credits

MATH 471 Introduction to Complex Variables.......................4 credits

And at least one additional MATH course numbered 300 or above.

Discrete Applied Mathematics Concentration

(Comprehensive)

The Discrete Applied Mathematics concentration provides the tools used in many everyday activities in science and industry. Many objects and notions in the modern world are discrete in their nature and require special methods for their study. Research directions that are based mostly on the discrete approach include: coding theory and cryptography, data protection and compression, network analysis, parallel computing, logic, theory of computation, discrete and combinatorial optimization, scheduling theory, programming language design, and many others. Continuous methods of classical mathematics are, as a rule, largely inapplicable to these areas. Many of these fields are actually at the border between mathematics and theoretical computer science. This concentration offers a number of exciting courses that are intended for those who are interested in computers and mathematics. Computer science is not limited to programming. It uses discrete mathematics methods extensively to find more efficient solutions. Discrete mathematics has grown from everyday practical problems, and knowing efficient approaches to solving them has been found to be very beneficial.

A minimum of 54 credits, including:

MATH 240 Calculus and Analytic Geometry I........................4 credits

MATH 241 Calculus and Analytic Geometry II.......................4 credits

MATH 242 Calculus and Analytic Geometry III......................4 credits

MATH 310 Introduction to Abstract Mathematics..................3 credits

MATH 315 Linear Algebra....................................................3 credits

MATH 320 Discrete Structures..............................................4 credits

MATH 370 Probability...........................................................3 credits

MATH 399 Mathematical Sciences Seminar...........................1 credit

MATH 455 Abstract Algebra.................................................4 credits

CSCI 201 Introduction to Programming..................................3 credits

CSCI 202 Object-Oriented Programming...............................3 credits

CSCI 303 Algorithms and Data Structures..............................4 credits

CSCI 421 Theory of Computation .........................................4 credits

CSCI 425 Algorithm Design and Analysis...............................4 credits

And at least two additional courses in MATH or CSCI numbered 300 or above.

Preparation for Graduate Study

Students who intend to do graduate work in mathematics should include both MATH 440 and 455 in their course selections when completing one of the major programs above. Many graduate schools require the Graduate Record Examination (GRE) Advanced Mathematics Test. Approximately 50 percent of the GRE Advanced Mathematics Test covers topics in analysis through advanced calculus. Twenty-five percent covers linear algebra and abstract algebra, and the remaining 25 percent covers such topics as number theory, probability, statistics, topology, complex variables, numerical analysis and computer programming.

Students of Mathematics can find a rewarding career as an actuary in finance, insurance or any of a wide variety of industries requiring risk analysis and assessment. These courses are recommended: MATH 240, 241, 242, 301, 370, 371; ECON 250, 251; FIN 320, 420, 426; ACCT 200. In general, students should take a broad spectrum of courses in Accounting, Economics, Political Science, Finance and Business Administration as well as Mathematics and Computer Science. Interested students should contact Dr. Steven Rosenberg in the Department of Mathematics and Computer Science.

This major must be taken in connection with Wisconsin EA-A licensure (ages 10-21).

A minimum of 35 credits, including:

CSCI 170 Programming and Technology for the Teaching of Mathematics 3 credits

MATH 240 Calculus and Analytic Geometry I........................4 credits

MATH 241 Calculus and Analytic Geometry II.......................4 credits

MATH 242 Calculus and Analytic Geometry III......................4 credits

MATH 310 Introduction to Abstract Mathematics..................3 credits

MATH 315 Linear Algebra....................................................3 credits

MATH 362 Topics in Geometry.............................................3 credits

At least one of:

MATH 320 Discrete Structures..............................................4 credits

MATH 344 Differential Equations...........................................4 credits

At least one of:

MATH 370 Probability...........................................................3 credits

MATH 371 Statistics..............................................................4 credits

MATH 380 Introduction to Mathematical Modeling................4 credits

At least one of:

MATH 421 Theory of Computation.......................................4 credits

MATH 437 Cryptography ....................................................4 credits

MATH 440 Real Analysis......................................................4 credits

MATH 455 Abstract Algebra ...............................................4 credits

MATH 471 Introduction to Complex Variables......................4 credits

Required for teacher certification:

MATH 339 Teaching
Mathematics/Computer Science

in the Secondary School
...................................................3 credits

TED 305 Tutor Practicum...................................................1-3 credits

For additional requirements, see "Professional Requirements for Secondary Education Certification" in the Teacher Education section of this catalog.

Internship and Professional Practice

Students who major in programs offered by the Department of Mathematics and Computer Science have opportunities for paid work related to their field of study. Prerequisite: Junior standing and approval by the Mathematics and Computer Science faculty. After completing our course on Software Development and Professional Practice, advanced computer science students will have the opportunity to participate in a capstone experience integrating their previous coursework into a real-world software project. Currently, this experience includes a partnership venture with the University of Minnesota, Duluth, and local businesses to develop cutting-edge applications, with the exciting prospect of taking advantage of emerging technologies to be first to marked with a product for which there is a real business need and great future potential.

A minimum of 21 credits, including:

MATH 240 Calculus and Analytic Geometry I.....................................................4 credits

MATH 241 Calculus and Analytic Geometry II....................................................4 credits

MATH 310 Introduction to Abstract Mathematics...............................................3 credits

And one of:

CSCI 170 Programming and Technology for the Teaching of Mathematics...........3 credits

CSCI 201 Introduction to Programming .............................................................3 credits

Remaining credits must be earned in MATH 242 or in Mathematics courses numbered 300 or above.

This minor must be taken in connection with Wisconsin EA-A licensure (ages 10-21).

A minimum of 24 credits, including:

CSCI 170 Programming and Technology for the Teaching of Mathematics................3 credits

MATH 240 Calculus and Analytic Geometry I.........................................................4 credits

MATH 241 Calculus and Analytic Geometry II........................................................4 credits

MATH 242 Calculus and Analytic Geometry III.......................................................4 credits

MATH 310 Introduction to Abstract Mathematics....................................................3 credits

MATH 362 Topics in Geometry...............................................................................3 credits

At least one of:

MATH 315 Linear Algebra......................................................................................3 credits

MATH 370 Probability............................................................................................3 credits

MATH 371 Statistics...............................................................................................4 credits

MATH 380 Introduction to Mathematical Modeling..................................................4 credits

Required for teacher certification:

MATH 339 Teaching Mathematics/Computer Science in the Secondary School........3 credits

TED 305 Tutor Practicum.....................................................................................1-3 credits

Mathematics Minor

This minor must be taken in connection with Wisconsin MC-EA licensure (ages 6-12/13; grades 1-7/8) which requires the taking of TED 407 and appropriate student teaching.

A minimum of 22 credits, including:

CSCI 170 Programming and Technology for the Teaching of Mathematics..........3 credits

MATH 230 Foundations of Mathematics I.........................................................3 credits

MATH 231 Foundations of Mathematics II .......................................................3 credits

MATH 240 Calculus and Analytic Geometry I....................................................4 credits

MATH 310 Introduction to Abstract Mathematics..............................................3 credits

MATH 362 Topics in Geometry.........................................................................3 credits

At least one of:

MATH 241 Calculus and Analytic Geometry II...................................................4 credits

MATH 315 Linear Algebra................................................................................3 credits

Engineering

Michigan Technological University in Houghton, Mich., and the University of Wisconsin-Madison have Engineering Dual Degree agreements with UW-Superior's Department of Mathematics and Computer Science. These five-year programs include three years of study in Mathematics at UW-Superior and two years of study in Engineering at one of the above universities. Upon successful completion, the student receives a Bachelor of Science degree from UW-Superior and an Engineering degree from Michigan Tech or UW-Madison.

Students may transfer to one of several engineering schools after completing two or three years of study at UW-Superior. Appropriate core courses for engineering in mathematics and the sciences plus general courses in humanities, social studies, and English are included. The selection of courses is based on the requirements of the school to which the student plans to transfer.