Undergraduate Courses in Mathematics

118. APPLIED MATHEMATICS 3 cr.  Introduction to the use of mathematics to model various aspects of everyday life.  Topics may include:  application of graphs and networks to urban services and business efficiency, planning and job scheduling, interpreting data for decision making, digital information representation, growth, voting systems, fair division.

120. MATHEMATICS AND COMPUTING 3 cr.  Mathematical modeling using computer spreadsheets and programs.  The course includes computer familiarization.

122. ELEMENTARY STATISTICS I 3 cr.  Describing data by graphs and measures, sampling distributions, confidence intervals and tests of hypotheses for one and two means and proportions, Chi-square test, correlation and regression. Use of the statistical computer program Minitab.

123. ELEMENTARY STATISTICS II 3 cr.  Prerequisite: MT 122. Power analysis, factorial and repeated measures analysis of variance, nonparametric procedures, contingency tables,  introduction to multiple regression. Use of the statistical computer program SPSS.

133-134. CALCULUS AND ANALYTIC GEOMETRY IA-IB 3 cr. ea.  Placement by the Math Department. Sequence covers the same calculus topics as MT 135 with algebra review integrated into the course as needed. The MT 133-134 sequence will count as one course in Division IV of the Core, but neither MT 133 nor MT 134 will count as a core course individually. Note: MT 133-134 will satisfy the MT 135 or equivalent prerequisites and requirements listed throughout the Undergraduate Bulletin.  Academic credit will not be given for both MT 134 and MT 135.

135. CALCULUS AND ANALYTIC GEOMETRY I.  4 cr.  Prerequisite: placement by Math Department.  For science and mathematics majors.  Functions, including the transcendental functions; limits and derivatives; applications of derivatives, including optimization and related rates; Riemann sums, integrals and the Fundamental Theorem of Calculus.  (See "Note" under MT 133-134 above.)

136.  CALCULUS AND ANALYTIC GEOMETRY II.  4 cr.  Prerequisite: MT 135 or equivalent.  Second course in a three-semester calculus sequence. Applications of the integral, techniques of integration, differential equations, parametric equations, polar coordinates, conic sections, sequences and series.

160. MATHEMATICS AND CREATIVITY 3 cr.  Mathematics and the men and women who have contributed to it. Topics in modern mathematics and examples of mathematical creativity, as well as the student's reaction to and thoughts on selected readings concerning the nature of mathematics and mathematics as a creative art, are emphasized.

162. MATHEMATICS FROM NON-WESTERN CULTURES 3 cr.  Introduction to mathematics developed in non-Western and Native American societies and illustrations of modern mathematical ideas within non-Western cultures.

167. THE MATHEMATICS OF CHANGE AND CHANCE  3 cr.  For majors in all business fields.  Sets and counting techniques; discrete probability distributions; expected value and variance; functions, limits and derivatives; applications of derivatives; exponential and logarithmic functions; integration and improper integrals; the normal distribution and the Central Limit Theorem; estimation of the mean.  Computer technology is integrated throughout the course.

171. FOUNDATIONS OF EARLY CHILDHOOD MATHEMATICS  3 cr.  Prerequisite:  MT 160.  Corequisite:  MT 171L. Focuses on understanding, from an advanced standpoint, the mathematics taught in elementary school.  Curriculum issues, methods, instructional resources and assessment strategies for grades pre-K through 3 will be addressed.

171L.  FOUNDATIONS OF EARLY CHILDHOOD MATHEMATICS LAB 0 cr.  Corequisite:  MT 171.  Math teaching methods lab for students in the pre-K through 3 licensure program.

199.  SPECIAL TOPICS IN MATH 1-3 cr.  Subject announced in schedule of classes.

228. STATISTICS FOR THE BIOLOGICAL SCIENCES  3 cr.  Prerequisite:  MT 135 or equivalent.  Exploratory data analysis, probability fundamentals, sampling distributions and the central limit theorem, estimation and tests of hypotheses through one-factor analysis of variance, simple linear regression, and contingency tables using SPSS statistical software.  Course content in biology context.

233.  CALCULUS AND ANALYTIC GEOMETRY III.  4 cr.  Prerequisite: MT 136.  Calculus of vector-valued functions, partial derivatives, multiple integrals, line integrals and Green’s Theorem, surface integrals and Stokes’ Theorem.

241. FOUNDATIONS OF MIDDLE SCHOOL MATHEMATICS  3 cr.  Prerequisites:  MT 135, MT 160.  For students seeking the license to teach mathematics in grades 4-9.  Reasoning and proof in mathematical sets, number systems, functions and binary operations.  Students will learn to communicate mathematics, to make connections among mathematical systems, and to construct valid arguments and proofs.

251. TOPICS FROM MIDDLE SCHOOL MATHEMATICS  3 cr. Prerequisite: MT 135, MT 160.  For students seeking the license to teach mathematics in grades 4-9.  Metric geometry, synthetic and transformational geometry with the use of dynamic geometry software; topics from discrete mathematics such as counting techniques, probability, recursive processes, graphs and networks.

330. INTRODUCTION TO ANALYSIS  3 cr.  Prerequisite: MT 233.  Rigorous mathematical treatment of the fundamental ideas of calculus:  sequences, limits, continuity, differentiation and integration.

341. INTRODUCTION TO ABSTRACT ALGEBRA 3 cr. Prerequisite: MT 136. Sets, equivalence relations, permutations, polynomial rings, and groups, with emphasis on proof techniques.

342. INTRODUCTION TO LINEAR ALGEBRA 3 cr. Prerequisite: MT 136. Algebra of matrices, linear systems, vector spaces, linear transformations, eigenvectors, applications.

372. DISCRETE AND CONTINUOUS MODELING  3 cr.  Prerequisite:  MT 233.  Prerequisite or Corequisite:  MT 342.  Topics include graphical models; discrete dynamical systems; curve fitting; linear programming; simulation; differential equations; graph theory

420. PROBABILITY AND STATISTICS I  4 cr. Prerequisite: MT 233. Combinatorial probability, discrete and continuous distributions, simulation of sampling distributions and the central limit theorem, introduction to data analysis, estimation and hypothesis testing; with use of CAS and statistical software.

421. PROBABILITY AND STATISTICS II  3 cr.  Prerequisite: MT 420. Mathematical treatment of estimation and hypothesis testing; including one and two-factor analysis of variance, simple regression and correlation, and nonparametric analyses.

422. APPLIED STATISTICS  3 cr.  Prerequisites: MT 342, MT 420.  Categorical data analysis, multiple regression, analysis of variance of various designs, introduction to design of experiments.  Use of statistical software.

425. OPERATIONS RESEARCH 3 cr.  Prerequisite: MT 342. Linear programming,  sensitivity analysis and duality, queuing theory, topics from networks, decision making, game theory, Markov chains, dynamic programming, and simulation.

431. ADVANCED CALCULUS OF ONE VARIABLE 3 cr.  Prerequisites: MT 233, MT 341. Real number system, limits, continuity, differentiability, Riemann integral, properties of continuous and differentiable functions, sequences and series of functions.

432. ADVANCED CALCULUS OF SEVERAL VARIABLES 3 cr.  Prerequisites: MT 233, MT 342. Development of and motivation for vector-valued functions, calculus of functions of several variables, implicit functions and Jacobians, multiple integrals, line integrals.

436. INTRODUCTION TO COMPLEX ANALYSIS 3 cr.  Prerequisite: MT 341 or MT 342 or permission of department chair. Complex number plane, analytic functions, integration of complex functions, sequences and series. Residue theorem, evaluation of real integrals.

438. ORDINARY LINEAR DIFFERENTIAL EQUATIONS 3 cr. Prerequisites: MT 233, MT 342. Linear equations and systems, existence and uniqueness theorems, oscillation theory.  Autonomous equations and systems, their solutions and qualitative properties.

441. ABSTRACT ALGEBRA 3 cr.  Prerequisite: MT 341. Groups, rings, domains, fields, extension fields, introduction to Galois Theory.

442. LINEAR ALGEBRA 3 cr.  Prerequisite: MT 342. Vector spaces, linear transformations, characteristic values and applications.

450. EUCLIDEAN AND NON-EUCLIDEAN GEOMETRY 3 cr.  Prerequisite: MT 341 or MT 342 or permission of department chair. Alternative ways of investigating the Euclidean plane including transformational geometry; examination of the parallel postulate and how it can be changed to create new geometries; hyperbolic geometry.

452. ELEMENTARY TOPOLOGY 3 cr. Prerequisite: MT 341. Topological spaces, homeomorphisms, connected spaces, compact spaces, regular and normal spaces, metric spaces.

456. FRACTAL GEOMETRY 3 cr.  Prerequisites: MT 233, MT 341. Topics from metric spaces, transformations, iterated function systems, dynamical systems, fractal dimension, Julia sets, and Mandelbrot sets.

468. THEORY OF NUMBERS 3 cr.  Prerequisite: MT 341. Divisibility theorems, number-theoretic functions, primitive roots, quadratic congruences and reciprocity, partitions.

469. HISTORY OF MATHEMATICS 3 cr.  Prerequisite: MT 341. Study of mathematics from its origins to its present state. Topics include the development and impact of geometry, algebra, number theory, irrational numbers, analytic geometry, calculus, non-Euclidean geometry, and infinite sets.

478. FORMAL LANGUAGES (CS 478) 3 cr.  Prerequisites: MT 341 or MT 342 or equivalent. Finite and push-down automata and Turing machines. Regular languages, context-free grammars, recursive and recursively enumerable languages. Other topics chosen from Church's thesis, Gödel numbering, decidability, and recursive functions.

479. COMBINATORICS AND GRAPH THEORY 3 cr. Prerequisite: MT 341 or MT 342. Pigeonhole principle, inclusion and exclusion, recurrence relations and generating functions, combinatorial designs, the theory of graphs, graphical optimization problems.

480. SPECIAL TOPICS cr. TBA.  Reading, reports on, and investigation of selected material and topics.

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