1994-1996 Undergraduate Catalog/University of Nebraska at Kearney

University of Nebraska at Kearney
College of Natural and Social Sciences

1994-96 UNK Undergraduate Catalog

Department of Mathematics and Statistics

Courses (MATH)

090. Elementary Algebra - 3 hours: This course deals with elementary concepts of algebra which are usually taught at the 9th grade level. Emphasis is placed on developing functional competence in the several areas of algebra which are covered, and the content includes some practical applications. Not a General Studies course. Credit will not count toward any UNK degree.

101. Intermediate Algebra - 3 hours: Prerequisite: MATH 090 or 1 year of high school algebra and a placement test score of 10 to 16. The course which includes a study of the properties of real numbers, polynomials, fundamental operations, factoring, exponents, and radicals, linear and quadratic equations, and other selected topics all of which are necessary for the study of college algebra. Not a General Studies course.

102. College Algebra - 3 hours: Prerequisite: MATH 101 or 2 years of high school algebra and a placement test score of at least 17. A college level algebra course which includes a study of linear equations and inequalities, relations and functions, graphing of linear and quadratic functions, polynomial and rational functions, logarithmic and exponential functions, systems of equations, matrices, sequences and series, and other selected topics all of which are necessary for the study of calculus.

103. Plane Trigonometry - 3 hours: Prerequisites: MATH 102 or 2 years of high school algebra and a placement test score of at least 17. Study of trigonometric functions. It is recommended that a student take this simultaneously with MATH 102.

106. Mathematical Concepts - 3 hours: Prerequisites: MATH 101 or 2 year of high school algebra. An enrichment course investigating the structure, aesthetics and philosophy of mathematics and its cultural relevance.

112. Scientific Topics in Mathematics - 5 hours: Prerequisite: MATH 101 or 2 years of high school algebra and a placement test score of at least 17. Algebra and Trigonometry for science students. Credit cannot be received for both MATH 102, MATH 103 and also MATH 112.

115. Calculus I with Analytical Geometry - 5 hours: Prerequisite: MATH 102 and MATH 103 or equivalent. Limits and continuity, differentiation of algebraic functions, elementary integration (with applications) of algebraic functions.

120. Finite Mathematics - 3 hours: Prerequisite: MATH 102 or equivalent. An introduction to modern mathematical concepts, with applications. Includes logic, set theory, probability, vectors, matrices, linear programming, and game theory.

123. Applied Calculus I - 3 hours: Prerequisite: MATH 102 or MATH 112 or equivalent. The concepts of calculus with emphasis on applications to the areas of business, biology, economics, and the social and behavioral sciences. Credit cannot be received for both MATH 115 and 123.

202. Calculus II with Analytic Geometry - 5 hours: Prerequisite: MATH 115. A continuation of Math 115 including the differentiation and integration of transcendental functions, methods of formal integration with applications, series.

223. Applied Calculus II - 3 hours: Prerequisite: MATH 123. A continuation of MATH 123. Techniques of integration, partial derivatives, multiple integration, and series.

230. Math for Elementary Teachers I - 3 hours: Prerequisites: Math 102 or four years of high school math. Numeration, sets, relations, bases, and a detailed development of the number system from an elementary school point of view.

250. Foundations of Math - 3 hours: Prerequisite: MATH 115 or 120 or 123. Topics of sets and symbolic logic are studied with the objective of using them in the detailed study of the nature of different types of proofs used in mathematics. Also, the processes of problem solving are studied for developing strategies of problem solving.

260. Calculus III - 5 hours: Prerequisite: MATH 202. A continuation of 202. Vector calculus, partial derivatives and multiple integrals.

280H. Special Topics of Honor Students - 2 hours: (See MATH 495)

305. Differential Equations - 3 hours: Prerequisite: MATH 260. Methods of solution and applications of common types of differential equations.

310. College Geometry - 3 hours: Prerequisite: MATH 250. Mathematical systems and re-examination of Euclidean geometry from an advanced viewpoint.

314. Mathematics of Insurance - 3 hours: Prerequisite: MATH 102 or equivalent. The basic theory of life contingencies, life insurance, and life annuities.

330. Math for Elementary Teachers II - 3 hours: Prerequisite: MATH 230. Algebraic and geometric topics as related to elementary mathematics.

350. Abstract Algebra - 3 hours: Prerequisite: MATH 250, or permission. An introduction to modern algebra, including a brief study of groups, rings, integral domains and fields.

399. Internship - 1-4 hours
400/800P. History of Mathematics - 3 hours: Prerequisite: MATH 202 or permission. An introduction to the history of mathematics from its primitive origins to modern-day mathematics.

404/804P. Theory of Numbers - 3 hours: Prerequisite: MATH 202. Properties of integers, congruences, primitive roots, arithmetic functions, quadratic residues, and the sum of squares.

409/809P. Problems in Calculus - 1 hour: Prerequisite: MATH 202. Solving of problems from calculus and related courses. Will aid a student in the Preliminary Actuarial Examination, Part I.

413/813P. Higher Algebra - 3 hours: Prerequisite: MATH 202 or 223. Fundamental concepts of algebra from an advanced viewpoint. Emphasis will be on solving equations, systems of equations, and graph construction.

414/814P Theory of Compound Interest - 3 hours: Prerequisite: MATH 115 or 123. A study of the forces of interest, accumulated values, present value factors, annuities certain, amortization schedules, sinking funds, bonds, and securities.

420/820P. Numerical Analysis - 3 hours: Prerequisite: MATH 260 or permission of instructor. The solution of nonlinear equations, interpolation and approximation, numerical integration, matrices and system of linear equations, and numerical solution of differential equations.

430/830P. Middle School Mathematics - 3 hours: Prerequisite: MATH 330 or permission. A study af additional topics found in grades 5-9 mathematics not covered in MATH 230, 330, e.g. algebra, probability, calculators, computer and statistics.

440/840P. Linear Algebra - 3 hours: Prerequisite: MATH 120, or 202 or 223. Vector spaces, linear transformations, matrices,and determinants.

460/860P. Advanced Calculus I - 3 hours: Prerequisite: MATH 260. Functions, sequences, limits, continuity, differentiation and integration.

470. Teaching of Secondary Mathematics - 3 hours: Prerequisite: MATH 260 or permission of instructor. Recent trends in the content of the mathematics curriculum and of procedures for the improvement of teaching mathematics in the high school.

481/881P. Math of Life Contingencies I - 3 hours: Prerequisite: STAT 441. A study of survival distributions, life tables, life insurance, life annuities, net premiums, net premiums, net premium reserves for the purpose of determining rates to be charged.

482/882P. Math of Life Contingencies II - 3 hours: Prerequisite: MATH 481. A study of multiple life functions, with the applications of contingency mathematics in the areas of life and health insurance, annuities and pensions from both probabilistic and deterministic approaches.

490/590. Special Topics in Mathematics - 3 hours: Topics chosen from the areas of mathematics appropriate to the studentãs program and will involve both formal lectures and independent study.

491/591. Expanded Campus Workshop - 1-3 hours: Refer to Academic Information section for description.

495. Independent Study in Mathematics - 1-3 hours: Prerequisite: MATH 260 or permission. An individual investigation by the student of topics not included in the normal mathematics offerings.

496/896P. Mathematics Seminar - 1 hour: Prerequisite: Math 260 or permission. Topics not included in the normal mathematics offerings are presented by the students.

Graduate Courses

802 Advanced Calculus II, 3 hrs.;
810 Foundations of Geometry, 3 hrs.;
846 Advanced Abstract Algebra I, 3 hrs.;
848 Advanced Abstract Algebra II, 3 hrs.;
850 Theory of Fields, 3 hrs.;
860 Complex Variables, 3 hrs.;
880 Seminar in Mathematics Education 3 hrs.;
871 Topics in Mathematics, 3 hrs.;
875 Mathematical Problem Solving, 3 hrs.;
890 Independent Study in Mathematics, 1-6hrs.;
899 Internship, 1-3 hrs.

See Graduate Catalog for course descriptions.

Courses(STAT)

235. Statistical Techniques for Research I - 3 hours: Prerequisite: MATH 101 or equivalent. An introduction to statistics for educational and sociological research. The course will include descriptive statistics, normal distribution and an introduction to correlation and hypothesis testing.

241. Elementary Statistics - 3 hours: Prerequisite: MATH 101 or equivalent. An introduction to statistical concepts and methods. Not open to department majors.

345. Applied Statistics I - 3 hours: Prerequisite: MATH 115 or 123. Descriptive statistics; statistical inference using the binomial, normal, F and Chi Square distributions; and analysis of variance topics. Recommended for departmental majors as the beginning applied statistics course.

380. Statistical Models - 3 hours: Prerequisite: STAT 345 or equivalent. The study of statistical models with emphasis on decision theory, simulation theory, inventory models, Markov chains, and queing theory.

432/832P. Survey Sampling Techniques - 3 hours: Prerequisites: STAT 241 or equivalent. Introduction to planning, execution and analysis of surveys, methods of sampling, estimation of population values, and efficiency of methods.

437/837P. Computer Analysis of Statistical Data - 3 hours: Prerequisites: One introductory statistics course and knowledge of computers. The analysis of data taken from the social sciences. The computer will be a tool for the course.

441/841P. Probability and Statistics - 3 hours: Prerequisite: MATH 260. The mathematical development of discrete and continuous probability distributions including multivariate distributions, moments and moment generating functions, the special discrete and continuous probability distributions, the normal distribution, sampling distributions, and hypothesis testing.

442/842P. Mathematical Statistics - 3 hours: A continuation of 441/841P. The further mathematical development of special probability densities, functions of random variables, sampling distributions, decision theory, point and interval estimators, hypotheses testing, and covariance.

445/845P. Applied Statistics II - 3 hours: Prerequisite: STAT 345 or equivalent. Inferences from small samples, linear regression and correlation, introduction to experimental designs, analysis of variance, analysis of covariance, statistical efficiency and errors.

446/846P. Nonparametric Statistics - 3 hours: Prerequisite: STAT 345 or equivalent. An applied study of many of the nonparametric tests currently in use in statistics.

448/848P. Regression Analysis - 3 hours: Prerequisites: CSIS elective and STAT 345 or equivalent. Computer- oriented statistical methods involving concepts and techniques for experimental research. Application of the following methods on a digital computer: Estimating parameters and testing hypotheses about them, linear least squares, analysis of variance and covariance, multiple linear regression, and piecewise linear regression.

449/849P. Problems in Statistics - 1 hour: Prerequisite: STAT 442. Solving of problems from probability and statistics. Will aid a student in Preliminary Actuarial Examination, Part II.

455/855P. Statistical Quality Control - 3 hours: Prerequisite: STAT 241 or equivalent. An introduction to statistical methods for controlling quality and productivity of products and services including acceptance sampling, control charts, and process-control techniques.

458/858P. Applied Time Series Analysis - 3 hours: Prerequisite: STAT 241 or equivalent. Examination of the methods used in time series analysis and forecasting with emphasis on application in business, engineering, and the sciences including computer analysis of data, model building, forecasting time series and the violation of model assumptions.

490/890P. Special Topics in Statistics - 3 hours: This course consists of related topics chosen from the areas of statistics appropriate to the studentÆs program and will involve both formal lectures and independent study.

491/891P. Expanded Campus Workshop - 1-3 hours: Refer to Academic Information section for description.

495/895P. Independent Study in Statistics - 1-3 hours

496/896P. Statistics Seminar - 1 hour