Courses Offered

Mathematics & Statistics – Spring 2013

MATH 90. Elementary Algebra (3). Fall, Spring. Fundamental topics of beginning algebra. Intended for students having no previous algebra experience. Credit for this course cannot be applied toward any degree program. Graded A, B, C/No Credit. Extra Fee.

MATH 95. Intermediate Algebra (3). Fall, Spring. Number systems, fundamentals of algebra, graphs and equations of straight lines, exponents, polynomial expressions, factoring, rational expressions, roots, the quadratic formula; applications. Prerequisite: Satisfactory placement exam score or grade of C or higher in MATH 90. Credit for this course cannot be applied toward any degree program. Graded A, B, C/No Credit. Extra Fee.

MATH 1150. Introduction to Statistics (3). Fall, Spring, Summer. Description of data, binomial and normal distributions, estimation and testing hypotheses for means and proportions. Prerequisites: Two years high school algebra, one year of geometry and a satisfactory placement exam score.

MATH 1160. Introduction to Statistics II (3). MATH 1150 continued. Nonparametric methods, linear regression and correlation, analysis of variance. Prerequisite: grade of C or higher in MATH 1150 or consent of instructor.

MATH 1180. Mathematical Ways of Thinking (3). Fall, Spring. Development of critical thinking and problem-solving skills through mathematical modes of thinking and active exploration of such topics as notions of infinity, the golden rectangle, symmetry, uncertainty, fractals, knots, and musical ratios. Prerequisites: Two years high school algebra, one year geometry and a satisfactory placement score.

MATH 1200. College Algebra (5). Fall, Spring, Summer. Polynomials, factoring, rational exponents, linear and quadratic equations and inequalities, applications; polynomial, exponential and logarithmic functions and their graphs, systems of equations, theory of equations. Not to be taken if credit for MATH 1280 or MATH 1300 has been received. No more than 6 credit hours in MATH 1200, MATH 1210, and MATH 1220 may be counted toward graduation. Prerequisites: Two years of high school algebra, one year of geometry and a satisfactory placement exam score. or grade of C or higher in MATH 95.

MATH 1210. College Algebra I (3). Fall, Spring, Summer. Graphing, algebra, functions and their graphs, factoring, polynomials, rational expressions, rational exponents, linear and quadratic functions and their applications. Not open to students with a grade of C or higher in MATH 1200, MATH 1220, MATH 1280, or MATH 1300. No more than 6 credit hours in MATH 1200, MATH 1210, and MATH 1220 may be counted toward graduation. Prerequisites: Two years of high school algebra, one year of geometry and a satisfactory placement exam score, or grade of C or higher in MATH 95.

MATH 1220. College Algebra II (3). Fall, Spring, Summer. Review of functions and their graphs, linear and quadratic functions, factoring. Polynomial and rational functions. Review of exponents. Exponential and logarithmic functions and their graphs. Systems of equations, theory of equations. Not open to students with a grade of C or higher in MATH 1200, MATH 1280, or MATH 1300. No more than 6 credit hours in MATH 1200, MATH 1210, and MATH 1220 may be counted toward graduation. Prerequisites: Two years of high school algebra, one year of geometry and a satisfactory placement exam score, or grade of C or higher in MATH 1210, or grade of D in MATH 1200.

MATH 1230. Mathematics for Architecture/Construct (4). Fall, Spring. Units and unit conversions; geometry; trigonometry of angles; laws of cosines and sines; solving triangles; vectors; conceptual introduction to differential and integral calculus. This course is specifically designed to prepare students for required courses in the Architecture and Construction Management programs. Prerequisite: Grade of C or higher in MATH 1200 or MATH 1220, or satisfactory placement exam score.

MATH 1260. Basic Calculus (5). Fall, Spring, Summer. Differential and integral calculus, multivariate differential calculus and matrix theory; applications. Not open to students with a grade of C or higher in MATH 1310 or MATH 1350. Prerequisites: a grade of C or higher in MATH 1200, MATH 1220, MATH 1280, or MATH 1300; or two years of high school algebra and one of geometry AND a satisfactory placement exam score.

MATH 1280. Precalculus Mathematics (5). Fall, Spring, Summer. Basic algebra; inequalities; functions and graphs; logarithmic and exponential functions; trigonometric functions and identities; applications and other topics. Not to be taken if credit for MATH 1290 or MATH 1300 has been received. Only earns 3 hours of credit toward graduation if credit for MATH 1200 or MATH 1220 has been received. Prerequisites: Two years of high school algebra and one of geometry AND a satisfactory placement exam score, or grade of C or higher in MATH 1200 or MATH 1220.

MATH 1290. Trigonometry (2). Fall, Spring. Trigonometric functions, graphs, identities, equations, inverse functions, solution of triangles, complex numbers. Intended for students who have good preparation in algebra and geometry but lack knowledge of trigonometry. Not to be taken if credit for MATH 1280 or MATH 1300 has been received. Prerequisite: C or higher in MATH 1200 or MATH 1220 or consent of instructor.

MATH 1300. Accelerated Precalculus Mathematics (3). Fall, Spring. Theory of equations and inequalities, coordinate geometry, complex numbers, and theory and applications of polynomial, rational, exponential, logarithmic, and trigonometric functions. An accelerated course compared to its counterpart, MATH 1280. Not to be taken if credit for MATH 1280 or MATH 1290 has already been received. Prerequisites: Two years of high school algebra, one year of high school geometry and a satisfactory placement exam score; or completion of MATH 1200 or MATH 1220 with a grade of C or higher.

MATH 1310. Calculus and Analytic Geometry (5). Fall, Spring, Summer. Differential and integral calculus including applications. The MATH 1310-2320-2330 sequence is a traditional calculus course for well-prepared students and is prerequisite for all advanced mathematics and statistics courses. Prerequisites: (1) two years of high school algebra, one year of geometry, one-half year of trigonometry, ACT math score of 24 or higher and satisfactory score on department placement test; or (2) grade of C or higher in MATH 1280, MATH 1290 or MATH 1300.

MATH 1340. Calculus and Analytic Geometry IA (3). Fall, Spring. Limits, the derivative, differentiation techniques and applications of the derivative. MATH 1340 and MATH 1350 is a two-semester sequence which includes all the topics from MATH 1310. Not open to students with a grade of C or higher in MATH 1310 or MATH 1260. Prerequisites: same as MATH 1310.

MATH 1350. Calculus and Analytic Geometry IB (3). Fall, Spring, Summer. The definite integral; the fundamental theorem; indefinite integrals; integration by parts, by substitution and using tables; and applications of definite and indefinite integrals. Prerequisite: grade of C or higher in MATH 1340.

MATH 2130. Mathematics for Early Childhood Teachers (3). Fall, Spring. Numeration systems and number sense. Development of the whole numbers, integers, rationals and real numbers. Notions of fractions, decimals, percents, ratio and proportion from an applied perspective. Measurement of geometric figures. Open only to education majors. Prerequisite: satisfactory score on MATH 2130 placement test or grade of C or better in MATH 90.

MATH 2140. Mathematical Reasoning for Educators (3). Fall, Spring. This course uses a problem-solving framework to investigate mathematical reasoning and sense making, statistical literacy, number systems and properties of numbers, proportional reasoning, algebraic thinking, and set theory. Open only to education majors. Prerequisite: satisfactory score on MATH 2140 placement test or grade of C or better in MATH 90.

MATH 2150. Number Systems for Middle School Teachers (3). Fall, Spring. This course is an investigation into number systems encountered by middle school students. The course provides an in-depth study of integers, rational numbers, irrational numbers, decimals, and real numbers including properties of numbers, number theory, proportional reasoning, percents and set theory. Open only to education majors. Prerequisite: satisfactory score on MATH 2150 placement test or grade of C or better in MATH 90.

MATH 2160. Geometry for Middle School Teachers (3). Fall, Spring. Informal geometry in two- and three-dimensions. Measurement. Symmetry. Transformational geometry. Tessellations. Congruence and similarity. Coordinate geometry. Constructions. Conic sections. Geometer’s Sketchpad. Open only to education majors. Prerequisite: C or better in MATH 2150.

MATH 2160H. Geometry for Middle School Teachers (3). Fall, Spring. Informal geometry in two- and three-dimensions. Measurement. Symmetry. Transformational geometry. Tessellations. Congruence and similarity. Coordinate geometry. Constructions. Conic sections. Geometer’s Sketchpad. Open only to education majors. Prerequisite: C or better in MATH 2150.

MATH 2220. Discrete Mathematics (3). Fall, Spring. Logic, methods of proof, introduction to set theory, relations, functions, algorithms, counting techniques, graph theory, and trees. Credit not given for both MATH 2220 and MATH 3220. Prerequisite: C or better in MATH 1260, MATH 1310, or MATH 1350. The web-based section is open only to Computer Science students.

MATH 2320. Calculus and Analytic Geometry II (5). Fall, Spring. MATH 1310 continued. Calculus of transcendental functions, techniques of integration, plane analytic geometry, sequences, and series. Prerequisite: grade of C or higher in MATH 1310 or MATH 1350.

MATH 2330. Calculus and Analytic Geometry III (3). Fall, Spring. Vectors and vector-valued functions, analytic geometry in space, partial derivatives, multiple integrals, applications. MATH 2330 and MATH 2340 is a two-semester sequence which includes all of the topics from MATH 2350. Not open to students with a grade of C or higher in MATH 2350. Prerequisite: grade of C or higher in MATH 2320.

MATH 2340. Vector Fields (1). Fall, Spring. Vector fields, line integrals, Green’s theorem, curl and divergence, surface integrals, the divergence theorem, Stokes’ theorem, applications. Not open to students with a grade of C or higher in MATH 2350. Prerequisite: grade of C or higher in MATH 2330 or consent of instructor.

MATH 2350. Calculus and Analytic Geometry III with Vector Fields (4). Fall, Spring. Vectors and vector-valued functions, analytic geometry in space, partial derivatives, multiple integrals, line integrals, Green’s theorem, curl and divergence, surface integrals, the divergence theorem, Stokes’ theorem, applications. Not open to students with a grade of C or higher in MATH 2330. Prerequisite: grade of C or higher in MATH 2320.

MATH 2450. Statistics for Middle School Teachers (3). Fall, Spring. Descriptive statistics for one and two variables, sample spaces and probability rules, discrete and continuous probability models, use of simulation to compute probabilities. Open only to education majors. Prerequisite: C or better in MATH 1260, MATH 1310, or MATH 1350.

MATH 2450H. Statistics for Middle School Teachers (3). Fall, Spring. Descriptive statistics for one and two variables, sample spaces and probability rules, discrete and continuous probability models, use of simulation to compute probabilities. Open only to education majors. Prerequisite: C or better in MATH 1260, MATH 1310, or MATH 1350.

MATH 2470. Fundamentals of Statistics (3). Fall, Spring. Descriptive statistics. Discrete probability models, sampling distributions, statistical estimation, and testing. Prerequisite: C or better in MATH 1260, MATH 1310, or MATH 1350. Credit not given for both MATH 2470 and STAT 2110.

MATH 2950H. Honors Course in Mathematics (1). Series of lectures by various department members surveying major areas of mathematics. To be taken after completion of MATH 1310. May be repeated for credit, up to a total of 3 hours. Prerequisite: invitation of department.

MATH 3130. Elementary Mathematical Logic (3). Fall. Propositional and predicate logic; nature of mathematical proof; applications to mathematics and computer science. Prerequisite: C or better in MATH 1310 or MATH 1350.

MATH 3220. Discrete Mathematics (3). Fall, Spring, Summer. Sets, functions, relations, algorithms, induction, elementary combinatorics, graph theory, the propositional calculus and other topics. A student cannot receive credit for both MATH 2220 and MATH 3220. MATH 3220 is recommended for majors or minors in mathematics. Corequisite: MATH 2320 or consent of instructor.

MATH 3280. Mathematical Foundations and Techniques (3). Spring. This course is an introduction to mathematical proofs and proof techniques, involving topics such as logic, sets, relations, functions, induction, sequences, series, metric spaces, graph theory. Prerequisite: C or better in MATH 2320 or consent of instructor.

MATH 3320. Elementary Linear Algebra (3). Fall, Spring, Summer. Systems of linear equations, vectors, matrices, determinants, linear transformations, vector spaces and applications. Techniques and some proofs. Prerequisite: C or better in MATH 2320.

MATH 3370. Differential Equations (3). Fall, Spring. Introduction to ordinary differential equations: general equations of low order, higher order linear equations with constant coefficients, series solutions, qualitative theory and systems of differential equations. Prerequisite: C or higher in MATH 2330 or MATH 2350.

MATH 3390. Fundamental Concepts of Modern Algebra (3). Fall, Spring. Elementary topics from rings, fields and groups: divisibility properties of the integers; integral domains; construction of the rational, real and complex number systems; polynomial rings. MATH 3390 should not be used as an elective for students in the College of Arts and Sciences. Prerequisite: C or better in MATH 3220 and MATH 3320 or consent of instructor.

MATH 3410. Principles of Probability and Statistics (3). Fall, Spring. Summary and display of data; basic probability concepts; discrete distributions; continuous distributions; computer-aided probabilistic and statistical modelling of real problems; estimation; tests of statistical hypotheses. Not open to students who have credit for MATH 4410. Prerequisite: C or better in MATH 2320 or consent of instructor.

MATH 3420. Introduction to Statistical Practice (3). Introduction to statistical methodology through the use of case studies. Data collection, exploratory methods, inferential methods including multiple regression, nonparametric tests, analysis of variance, and chi-square statistics. Prerequisites: C or higher in MATH 1310 and C or higher in MATH 2470 or MATH 3410 or MATH 4410 or PSYC 2700 or SOC 3690 or STAT 2110.

MATH 3950H. Honors Course in Mathematics (1). A choice of two experiences: (1) a problem-solving seminar, or (2) use of the mathematics library to conduct a search for articles related to a selected topic. Prerequisite: invitation of department.

MATH 4000. Topics in Mathematics (3). Selected topics in mathematics not included in existing courses. May be taken twice for credit. Prerequisite: consent of instructor.

MATH 4010. Number Theory (3). Fall odd years. Divisibility, prime numbers, linear congruences, Chinese Remainder Theorem, quadratic residues, quadratic reciprocity law, numerical functions, factorization of integers, Fibonacci numbers, elementary diophantine equations and applications. Prerequisite: C or better in MATH 3220 and MATH 3320, or consent of instructor.

MATH 4020. Modern Geometry (3). Fall, Spring. Axiomatic development of neutral and Euclidean geometry; introduction to non-Euclidean geometry. Prerequisite: C or better in MATH 3220 and MATH 3320, or consent of instructor.

MATH 4030. Modern Algebra I (3). Fall. Topics from groups and rings; normal subgroups, homomorphisms, cyclic groups, permutation groups, Lagrange’s and Cayley’s theorems, factor groups, abelian groups, direct products; integral domains, ideals and factor rings, ring isomorphisms, polynomial rings. Prerequisites: C or higher in MATH 2330 or MATH 2350, and C or higher in MATH 3220 and MATH 3320, or consent of instructor.

MATH 4040. Modern Algebra II (3). Spring. Continuation of topics from MATH 4030; vector spaces, extensions of fields, finite fields. Prerequisite: C or better in MATH 4030 or consent of instructor.

MATH 4110. History of Mathematics (3). Fall, Spring. History of Mathematics through Calculus. Prerequisite or corequisite: MATH 3320.

MATH 4140. Algebraic Thinking and Misconceptions (3). Fall, Summer. Patterns, functions, operations on functions, analysis of word problems, slope, classification of functions, common misconceptions, applications in other mathematical domains and other disciplines. Investigations in the research of algebraic thinking. Open only to middle childhood education majors or consent of instructor. Prerequisites: C or better in MATH 2150 or MATH 1310.

MATH 4150. Advanced Mathematical Topics for Middle School Teachers (3). Fall, Spring. Topics include history of mathematics, direct and indirect proof, induction, mathematical systems, binary operations, finite geometries, non-Euclidean geometry. Open only to middle school education majors. Prerequisites: C or better in MATH 2150 and MATH 2160, and in one of MATH 2220, MATH 3220, or MATH 4140, and in one of MATH 2450, MATH 2470, or MATH 3410, or consent of instructor.

MATH 4170. Advanced Mathematics Topics for Early Adulthood Teachers (3). Fall, Spring. Topics from the middle and secondary school mathematics curricula presented from an advanced point of view. Topics include the development of various number systems, the meaning of area, the fundamental theorem of calculus, infinite cardinalities and classical problems of geometry. History of mathematics integrated into course. Prerequisites: C or better in MATH 3320 and MATH 3390. Corequisite: EDTL 4740 or consent of instructor.

MATH 4210. Foundations of Mathematics (3). Logic; set theory (including informal discussion of infinite sets and cardinals); axiomatic method (including models, consistency, and independence). Prerequisite: C or better in MATH 3390 or MATH 4030 or consent of instructor.

MATH 4250. Theory of Interest (3). Spring even years. General theories of interest, annuities, yield rates, amortization schedules and sinking funds, bonds and other securities and additional topics in financial analysis. Prerequisite: C or better in MATH 2320 or consent of instructor.

MATH 4260. Actuarial Mathematics I (3). Fall. Brief introduction to annuities certain; survival distributions and life tables, life insurance, life annuities, net premiums, net premium reserves. Intended to prepare students for actuarial examinations. Prerequisite: C or better in MATH 4410.

MATH 4270. Actuarial Mathematics II (3). Spring. Multiple life functions; multiple decrement models; valuation theory for pension plans; insurance models including expenses, nonforfeiture benefits and dividends. Prerequisite: C or better in MATH 4260.

MATH 4320. Linear Algebra with Applications (3). Spring. Matrices and vector spaces, eigenvalues, orthogonal matrices, positive definite matrices, quadratic forms. Applications to differential equations, Markov chains, least squares. Prerequisite: C or better in MATH 3320 or consent of instructor.

MATH 4340. Advanced Calculus (3). Fall of even years. Advanced topics from the differential and integral calculus of functions of several variables including: curvilinear coordinates, Jacobian matrices, Lagrange multipliers, gradient fields, divergence and curl of a vector field. Prerequisites: C or higher in MATH 2330 or MATH 2350, and C or higher in MATH 3320, or consent of instructor.

MATH 4370. Qualitative Theory of Differential Equations (3). Existence theorems for linear and nonlinear equations, systems of first order linear equations, nonlinear equations and stability, applications. Prerequisite: C or better in MATH 3370.

MATH 4390. Boundary Value Problems of Differential Equations (3). Boundary value problems, Sturm-Liouville theory, singular boundary conditions, Fourier series, partial differential equations of mathematical physics, e.g., heat, wave, and Laplace’s equation in one and several dimensions. Applications. Prerequisite: C or better in MATH 3370.

MATH 4410. Probability and Statistics I (3). Fall, Summer. Axiomatic probability; conditional probability; random variables/vectors; distribution functions; expectations; moment-generating functions; special distributions; functions of random variables/vectors; random sampling and sampling distributions; central limit theorem; weak law of large numbers. Prerequisite or corequisite: MATH 2330 or MATH 2350.

MATH 4420. Probability and Statistics II (3). Spring. Statistical models; point estimation; interval estimation; testing statistical hypotheses; analysis of discrete data; nonparametric methods. Prerequisite: C or better in MATH 4410.

MATH 4450. Applied Probability (3). Spring of odd years. Probability models for applications, finite Markov chains, queueing systems, Poisson process, applications to genetics, diffusion, computer systems. Prerequisites: C or better in MATH 3320 and MATH 4410.

MATH 4470. Exploratory Data Analysis (3). Fall odd years. Introduction to modern techniques in data analysis, including stem-and-leafs, box plots, resistant lines, smoothing and median polish. Prerequisite: C or better in MATH 2470, MATH 3410, or MATH 4410 or consent of instructor.

MATH 4510. Numerical Analysis (3). Fall. Study of numerical methods for interpolation and approximation, integration and differentiation, solution of non-linear equations and systems of linear and non-linear equations. Prerequisites: C or better in MATH 3320 and programming experience. Not open to students with credit for CS 4510.

MATH 4520. Numerical Analysis (3). Study of numerical methods for the algebraic eigenvalue problem; solutions of ordinary differential equations; and topics from approximation theory, numerical solution of partial differential equations, optimization techniques and sparse matrix computations. Prerequisites: C or better in MATH 3370 and MATH 4510 or CS 4510. Not open to students with credit for CS 4520.

MATH 4610. Introduction to Complex Analysis (3). Spring odd years. Complex numbers, complex valued functions, differentiation of complex valued function, analytic functions, power series, integration, contour integrals, residues and poles, conformal mapping, applications. Prerequisites: C or higher in MATH 2330 or MATH 2350, and C or higher in MATH 3320, or consent of instructor.

MATH 4650. Introduction to Real Analysis I (3). Fall. Completeness and order axioms; limits of sequences; limits of functions and continuity; open, closed and compact sets; uniform continuity; differentiation and the mean value theorem; the Riemann integral. Prerequisites: C or higher in MATH 2330 or MATH 2350, and C or higher in MATH 3220 and MATH 3320, or consent of instructor.

MATH 4660. Introduction to Real Analysis II (3). Spring. The Riemann-Stieltjes integral; sequences of functions; series of real numbers; series of functions; and optional topics selected from transcendental functions, special functions, Fourier series and metric spaces. Prerequisite: C or better in MATH 4650 or consent of instructor.

MATH 4700. Readings in Mathematics (1-3). Independent study of a topic of particular interest to an advanced student under the direction of a faculty member. May be repeated. Prerequisites: consent of instructor and chair of department.

MATH 4890. Internship (1-4). Internship for majors in mathematics or statistics in the cooperative education program. Written report required. May be repeated with permission. Does not apply toward major or minor. Prerequisite: permission of department. Graded S/U.

MATH 4950H. Honors Course in Mathematics (1). Directed study in some field of mathematics; preparation and presentation of research topic. To be taken concurrently with two or more hours of MATH 4700. Prerequisite: invitation of department.

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