Mathematical Sciences (MATH)

FACULTY
Molnar, Ng, O’Loughlin*, Pereira, Rothan, Sweeney (*department chair)

COURSE DESCRIPTIONS

MATH 1050 MATHEMATICAL IDEAS IN CONTEMPORARY SOCIETY 4 CR.
An examination of mathematical ideas and insights that permeate society and influence modern thinking. The course topics derive from areas including decision making, geometry and measurement, statistics and data analysis, and management science. Other topics may be included depending on current interests of instructor and students. Offered every semester. Also offered in Weekend College; meets every week. Prerequisites: First-year high school algebra and geometry and appropriate level on mathematics/statistics placement assessment. MATH 1050 does not serve as a preparation for any other mathematics course.

MATH 1070 FINITE MATH ANALYSIS 4 Cr.
Elementary set theory; linear equations and matrices; linear programming; finite probability and statistics; applications in managerial, biological and social sciences. Offered every semester. Also offered in Weekend College; meets every week. Prerequisites: High school higher algebra and appropriate level on mathematics/statistics placement assessment. MATH 1070 does not serve as a preparation for any other mathematics course.

MATH 1080 STATISTICAL ANALYSIS 4 Cr.
Introduction to fundamental uses and misuses of statistics. Exploratory data analysis, regression and correlation, uncertainty and randomness, intuitive probability, one- and two-sample inference, one-way analysis of variance, interpretation and communication of results. Use of computers integrated throughout course. Offered every semester. Prerequisites: High school higher algebra and appropriate level on mathematics/statistics placement assessment. Credit is given for only one of the following courses: ECON 2200, ECON 2250, MATH 1080 or PSYC 2050.

MATH 1110 FUNCTIONS WITH CALCULUS 1A 4 Cr.
This course is the first of a two-course sequence that integrates calculus with algebra and precalculus concepts. Topics include the basic functions, the calculus of limits and the derivative as related to algebraic functions. The course is intended for those who plan to take MATH 1120 Functions with Calculus 1B. MATH 1110 does not satisfy the math/stat requirement in the liberal arts core. The two-course sequence (MATH 1110/1120) does satisfy the math/stat requirement in the liberal arts core. Prerequisites: High school or higher algebra and appropriate level on math placement/assessment test.

MATH 1120 FUNCTIONS WITH CALCULUS 1B 4 Cr.
This course is the second of a two-course sequence that integrates calculus with algebra and precalculus concepts. Topics include the calculus of limits and the derivative as related to exponential, logarithmic, and trigonometric functions; introduction to integration. Completion of this course with MATH 1110 satisfies the math/stats liberal arts core requirement; the sequence MATH 1110-1120 prepares students for MATH 1140 Calculus II. A student may NOT receive credit for both Math 1120 and Math 1130 (Calculus I). Prerequisite: Grade of C or better in MATH 1110.

MATH 1130 CALCULUS I 4 Cr.
Limits, derivatives and integrals of functions of one real variable, applications. Offered every semester. You may not receive credit for both MATH 1130 and MATH 1120. Prerequisites: Four years of high school mathematics and appropriate level on mathematics/statistics placement assessment.

MATH 1140 CALCULUS II 4 Cr.
Techniques of integration; applications of integration; infinite series; L’Hopital’s rule, improper integrals. Offered every semester. Prerequisite: A grade of C or better in MATH 1120 or 1130.

MATH 1800 DISCRETE MATHEMATICS 4 Cr.
Mathematical induction, introduction to logical reasoning and set theory, including relations and functions; enumeration techniques, generating functions, recurrence relations; graphs and trees; applications to computer and decision sciences. Offered annually. Prerequisite: Appropriate level on mathematics/statistics placement assessment.

MATH 2050 LINEAR ALGEBRA 4 Cr.
Vector and vector spaces; matrices, determinants, systems of linear equations; linear transformations; characteristic vectors; linear programming. Offered annually. Prerequisite: MATH 1130 or permission of instructor.

MATH 2060 CALCULUS III 4 Cr.
Vectors and analytic geometry of three dimensions. Functions of several real variables; partial derivatives; multiple integrals. Offered annually. Prerequisite: MATH 1140.

MATH 2500 MATHEMATICAL STRUCTURES 4 Cr.
The real number system and its operations, patterns and relations, number sense, number theory, space and shape, data collection, and randomness and uncertainty, with a special emphasis on problem solving and communication. This course is designed to fulfill the Minnesota Board of Teaching’s requirements for grades K-5 teachers of mathematics. For elementary education majors. Does not fulfill liberal arts core requirement in mathematics/statistics. Offered every semester. Also offered in Weekend College. Prerequisites: High school higher algebra and appropriate level on mathematics/statistics placement assessment.

MATH 2510 MATHEMATICS FOR MIDDLE SCHOOL TEACHERS 4 CR.
Number sense; space, shape and measurement; data investigations; randomness and uncertainty; patterns, relations and functions; and discrete mathematics with applications to middle school mathematics. For elementary education majors seeking a mathematics specialty. Does not fulfill the liberal arts core requirement in mathematics/statistics. Also offered in Weekend College; meets every week. Prerequisite: MATH 2500.

MATH 2600 DIFFERENTIAL EQUATIONS 4 Cr.
Methods for solving first order and linear equations, solution of linear systems, power series solutions, introduction to the Laplace transform, approximation methods and application of differential equations. Offered alternate years. Prerequisite: MATH 1140. Prerequisite with concurrency: MATH 2050.

MATH 3010 ABSTRACT ALGEBRA 4 Cr.
Properties of set, relations and mappings; introduction to groups, rings and fields. Offered in alternate years. Prerequisites: MATH 1800, 2050.

MATH 3130 PROBABILITY 4 Cr.
Probability theory in discrete and continuous sample spaces, random variables and distribution functions, moments; the moment generating function, functions of random variables, law of large numbers, central limit theorem. Offered in alternate years. Prerequisites: MATH 1800, 2060.

MATH 3140 MATHEMATICAL STATISTICS 4 Cr.
Random sampling and sampling distributions. Theory of statistical estimation, criteria and methods of point and interval estimation. Theory of testing statistical hypotheses; regression, analysis of variance. Offered alternate years. Prerequisite: MATH 3130.

MATH 3250 GEOMETRY 4 Cr.
Axioms for geometries, geometrical transformations and their invariants, Non-Euclidean geometries. Prerequisite: MATH 2050.

MATH 4684 DIRECTED STUDY 4 Cr.
Directed study is provided for students whose unusual circumstances prohibit taking a regularly scheduled course but who need the material of that course to satisfy a requirement. Availability of this faculty-directed learning experience depends on faculty time and may be limited in any given term and restricted to certain courses. For declared mathematics majors only. Prerequisites: Faculty, department chair and dean approval.

MATH 4850 SENIOR SEMINAR 4 Cr.
Study of mathematical papers and writings in seminar format, involving student-led discussions. Emphasis on reading and writing mathematics in a cooperative environment. Production and presentation of paper on seminar topic. Offered winter term. Prerequisite: Senior status or permission of department chair.

MATH 4954 INDEPENDENT STUDY 4 Cr.
Prerequisites: Instructor and department chair permission.

MATH 4994 TOPICS 4 Cr.
The subject matter of the course is announced in the annual schedule of classes. Content varies from year to year but does not duplicate existing courses. Possible topics include Real Analysis, Number Theory, Mathematical Logic, History of Mathematics, Topology, Complex Variables. Students are invited to suggest topics.

OCAD 0700 PROBLEM SOLVING AND ARITHMETIC 4 Cr.
This course is a review of basic mathematics. Emphasis is on problem-solving strategies and applications, as well as computational skills needed for success in algebra and college-level courses. Topics include fractions, decimals, ratio and proportion, percent, signed numbers, measurement and geometric figures. Basic algebraic concepts are integrated throughout the course. Successful completion of OCAD 0700 ensures placement into OCAD 0800, MATH 1050, MATH 2500 or CSCI 1060.
You are referred to this course based on your results on the mathematics/statistics placement assessment. See Summary of Financial Procedures for pricing information. Offered under the S/U grading option only. (Note: OCAD credits are not applied to graduation credit requirements.)

OCAD 0800 ELEMENTARY ALGEBRA 4 Cr.
This course is appropriate for you if you have a sound background in basic arithmetic but have not been exposed to algebra, or if you need to strengthen your basic algebra skills. Topics may include properties of real numbers, order of operations, linear and quadratic equations, exponents, polynomials, graphing and systems of linear equations. Successful completion of OCAD 0800 ensures placement into MATH 1050, MATH 1070, MATH 1080, MATH 2500, ECON 2200, ECON 2250, PSYC 2050 or CSCI 1060.
You are referred to this course based on your results on the mathematics/statistics placement assessment. See Summary of Financial Procedures for pricing information. Offered under the S/U grading option only. (Note: OCAD credits are not applied to graduation credit requirements.)

CSCI 1060 INTRODUCTION TO COMPUTERS 4 Cr.
Introduction to computer information systems including history, hardware, languages and impact on society; introduction to structured programming and algorithms; use of software packages such as word processing, spreadsheets, databases, Web browsers. Offered annually. Prerequisite: Appropriate level on mathematics/statistics placement assessment.

CSCI 1110 ALGORITHMS AND COMPUTER PROGRAMMING I 4 CR.
Introduction to problem solving methods and algorithm development; designing, coding, debugging and documenting programs. Implementation of problem solutions in a suitable high-level language. Offered annually. Prerequisite: Grade of C or better in MATH 1110 or appropriate level on mathematics/ statistics placement assessment.

CSCI 1120 ALGORITHMS AND COMPUTER PROGRAMMING II 4 CR.
Continuation of the development of discipline in program design, style and expression. Introduction to algorithm analysis, string processing, recursion, internal search/sort methods and simple data structures. Offered annually. Prerequisite: A grade of C or better in CSCI 1110.

CSCI 2070 PRINCIPLES OF COMPUTER ORGANIZATION 4 Cr.
Introduction to the fundamental concepts of computer organization and machine architecture. Implementation of these concepts with the assembler of a particular machine. Offered in alternate years. Prerequisite: CSCI 1110.

CSCI 2080 DATA STRUCTURES AND ALGORITHM ANALYSIS 4 Cr.
Systematic study of algorithms and their complexity. Searching and sorting techniques not included in CSCI 1120. Tree and graph traversal algorithms. The class P and NP; NP complete problems. Offered alternate years. Prerequisites: CSCI 1120, MATH 1800.

CSCI 3100 COMPUTER GRAPHICS ALGORITHMS 4 Cr.
Algorithms and data structures for 2- and 3-dimensional computer graphics. Topics include graphic applications, object and bitmap graphics, raster graphics, interactive graphics, geometrical transformations, 2-D and 3-D projections and spline curves. Offered in alternate years. Prerequisites: CSCI 1120, MATH 2050.

CSCI 4602 or 4604 INTERNSHIP 2 or 4 Cr.
Structured out-of-class learning experience that takes place on- or off-campus and includes a substantial work component. An internship involves you in a particular profession in an exploratory way to test career interests and potential. To initiate an internship experience, you first meet with the internship coordinator in the Career Development Office. Prerequisites: Faculty sponsorship and department chair approval.

CSCI 4684 DIRECTED STUDY 4 Cr.
Directed study is provided for students whose unusual circumstances prohibit taking a regularly scheduled course but who need the material of that course to satisfy a requirement. Availability of this faculty-directed learning experience depends on faculty time and may be limited in any given term and restricted to certain courses. Prerequisites: Faculty, department chair and dean approval.

CSCI 4954 INDEPENDENT STUDY 4 Cr.
Prerequisites: Instructor and department chair permission.

CSCI 4994 TOPICS: ADVANCED CONCEPTS IN COMPUTER SCIENCE 4 CR.
Focus differs from term to term with such offerings as database management, artificial intelligence, analysis and design of software. Credit may be obtained under this course number more than once for different emphases. Offered in alternate years. Prerequisite: CSCI 1120.

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This page was created on 05/08/2007 and last updated on 02/09/2009.
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