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UNDERGRADUATE PROGRAM AND COURSE DESCRIPTIONS

MATHEMATICS (MTH)

College of Science and Health

Department Chair:  Rebecca LeDocq

1001 Cowley Hall; 608/785-6603

E-mail: rledocq@uwlax.edu


www.uwlax.edu/mathematics


Professors: Hoar, Kelly, LeDocq, Reineke, Riley, Senger, Associate Professors: Allen, Baggett, Bennie, Bingham, Boyle, Elfessi, Hulett, Kattchee, Kosiak, Matchett, Peirce, Toribio, Will, Yan, Assistant Professors: Baumann, Chedister, Chen, Das, Eager, Hertel, Kim, Mathison, McCool, Vidden, Lecturers: Anderson, Dickinson, Olson, Schilla, Sobota, Young, Associate Lecturers: Mathison, McHugh


Credit by Examination
The mathematics department awards credit by examination in MTH 150, College Algebra; MTH 151, Precalculus; MTH 207, Calculus I; and MTH 208, Calculus II. The exams may be taken by new freshmen and are scheduled for the second week of semester I. Students may not earn credit by examination in both MTH 150 and MTH 151. Credit for MTH 145 will be granted to entering freshmen with a College Board Advanced Placement Statistics Examination score of three or better. Credit for MTH 207 will be granted to entering freshmen with a College Board Advanced Placement AB exam score of three or better. Entering freshmen with a score of three on the BC calculus examination are awarded credit for MTH 207 Calculus I; students with a score of 4 or 5 on the BC Calculus examination are awarded credit for both MTH 207 and MTH 208.

Retroactive Credits
Students taking MTH 207, 208, 309, or 310, and earning a grade of 'B' or better, will be given retroactive credit for MTH 151 provided that the student's transcript shows no record of prior or concurrent enrollment in MTH 151, 207, 208, 309, or 310.


Dual Degree Program in Mathematics and Engineering

Students with a math major who are also interested engineering are able to receive both a Bachelor of Science (mathematics major) from UW- La Crosse and a Bachelor of Science (engineering major) from UW-Madison. At UW-L, students must complete a minimum of 85 credits, including the General Education requirements and specific math and science course in preparation for the engineering program. Students are recommended to include the following courses in their work at UW-L: CHM 103,104; CS 120; ECO 110,120, 336; MTH 207, 208, 225, 245, 309, 310, 353, 371, 480 or 461; PHY 203, 204, 321. Students interested in Industrial Engineering should add ACC 221. Students should consult with the mathematics department chair for specific course and sequence advising for this agreement.

In order to receive the B.S. degree (mathematics major) from UW-L, students have two options: 1) complete the selected engineering program at UW-Madison, or 2) complete applicable math courses at UW-Madison to satisfy the remaining math electives required for mathematics major at UW-L. In either case the student would then transfer these credits to UW-La Crosse. For the typical student, the remaining credits must include 10-13 credits at the 300 level or above. This transfer of credits and awarding of the B.S. degree (mathematics major) by UW-L can take place as soon as the student demonstrates completion of math courses at UW-Madison to meet UW-L mathematics electives requirements or the completion of the engineering sequence at UW-Madison.

 

Mathematics Major

(All colleges, excluding Teacher Certification programs) 36 credits – (40 total credits including CS 120) MTH 207, 208, 225, 309, 310, 407, 411; 9 credits from: MTH 245, 311, 317, 320, 331, 353, 371, 408, 410, 412, 413, 441, 442, 461, 480; CS 453; PHY 470. In addition CS 120 must be taken. Mathematics-computer science double majors may count MTH 317, MTH 371, and CS 453 for credits in both majors. Mathematics-physics double majors may count MTH 461 and PHY 470 for credit in both majors.


Mathematics Major with Applied Emphasis

(All colleges, excluding Teacher Certificates Programs) 39 credits – (43 total credits including CS 120) MTH 207, 208, 225, 309, 310, 353, 371; 461 or 480; 9 credits from: MTH 245, 407, 408, 410, 413, 441, 442, 448, 461, 480. Three of these credits may be met by completing one of the following courses: CHM 310, CS 453, PHY 470, PHY 474. In addition, CS 120 must be taken.


Statistics Major

(All colleges, excluding Teacher Certification programs) 40 credits (44 total credits including CS 120): MTH 207, 208, 245, 309, 310, 405, 440, 441, 442, 445, 446; 3 credits from MTH 371, 407, 443, 447, 449. In addition, CS 120 must be taken. Students may not double major in Mathematics and Statistics.


Statistics Major with Concentration in Actuarial Science

(All colleges, excluding Teacher Certification programs): 55 credits (59 total credits including CS 120): MTH 207, 208, 245, 309, 310, 405, 440, 441, 442, 445, 446; ACC 221, 222; ECO 110, 120; FIN 355; and three credits from MTH 371, 407, 443, 447, 448, 449. In addition, CS 120 must be taken. Students may not double major in Mathematics and Statistics Major with Concentration in Actuarial Science.


Mathematics Major with Education Emphasis

(All colleges) 38 credits – (42 total credits including CS 120) MTH 207, 208, 225, 245, 309, 310, 331, 411; 6 credits from: MTH 151 (if taken for grade rather than retro-credit), 311, 317, 320, 353, 371, 407, 410, 413, 441, 442, 461, 480. In addition CS 120 must be taken. Students seeking teacher certification must complete teacher education requirements in addition to major. Click here for additional teacher certification requirements.


Mathematics Education Major (Early Adolescence-Adolescence Certification)

(Teacher Certification programs) 41 credits (45-46 total credits including CT or CS) - MTH 207, 208, 225, 245, 309, 310, 321, 331, 421; two additional courses from (at least one course must be at the 400-level): 311, 317, 320, 353, 371, 407, 410, 411, 413, 441, 442, 461, 480. In addition, CT 100 or CS 120 (3-4 credits) is required.

Click here for additional teacher certification requirements.


Mathematics Minor

(All colleges, excluding Middle Childhood-Early Adolescence Level Education) 22 credits – MTH 207, 208, 309; nine credits from MTH 225, 245, 265, MTH courses numbered 300 and above. Credit for MTH 151 may be used to fulfill three of the nine additional credits. Computer science majors may count MTH 317, 371 and CS 453 for credit in both the computer science major and the mathematics minor. Physics majors may count MTH 461 and PHY 470 for credit in both the physics major and the mathematics minor.


Statistics Minor

(All colleges) 20 credits – MTH 145, 175 or 207, 405; nine credits from MTH 443, 445, 446, 447, 448, 449. With the approval of the mathematics department chair, a research methods course from another department may be substituted for three of the nine additional credits. MTH 245 may be substituted for MTH 145. This minor is not available to mathematics majors.


Mathematics Education Minor (Early Adolescence-Adolescence Certification)

(Teacher Certification programs excluding Middle Childhood-Early Adolescence Level Education) 28 credits - MTH 207, 208, 225, 245, 309, 310, and 331.

Early Adolescence-Adolescence teacher certification candidates must also complete MTH 421 (4 credits)


Mathematics Minor

(Middle Childhood-Early Adolescence) (Teacher Certification programs) 22 credits – MTH 135, 136, 171, 280, 175 or 207; four credits from MTH 145, 151, 208, 265, 321, or other MTH courses numbered 300 and above.


Mathematics Minor with Education Emphasis

(All colleges) 28 credits – MTH 207, 208, 225, 245, 309, 310, 331.


The mathematics department incorporates a significant amount of writing through the required courses instead of identifying particular courses as writing emphasis courses. Students who complete a mathematics major will fulfill the university writing emphasis requirement.



MATHEMATICS (MTH)


+ next to a course number indicate a GENERAL EDUCATION course


MTH  050  Cr.3

Basic Algebra

A review of beginning algebra. Topics include an elementary treatment of real numbers, polynomials, linear equations, inequalities, rational expressions, systems of linear equations, radicals, and quadratic equations. Letter grade, but only F calculated in GPA. Transcript credit only.   Offered Fall, Spring.


MTH  051  Cr.2

Topics in Intermediate Algebra

A course to enhance the student's skills in selected areas of intermediate algebra; areas covered include polynomials, rational expressions, exponents, equations, and inequalities. Letter grade, but only F calculated in GPA.  Transcript credit only. Prerequisite: MTH 050 or an appropriate placement test score.  Offered Fall, Spring.


+MTH  135  Cr.4

Mathematics for Elementary Teachers I

This course is designed for prospective elementary teachers.  Content strands include number and operations and algebra and functions. Number and operations topics include set theory and pre-number concepts, place-value and numeracy, multiple representations and algorithms for arithmetic, number theory (e.g. divisors, multiples), and proportional reasoning. Algebra and functions topics include the concepts of variable and function, algebraic thinking, linear, polynomial, rational, and exponential functions, mathematical models, rates of change, and multiple representations of relations.  Aligned with state and national standards, this course will emphasize problem solving, communication, reasoning, and representation in mathematics. Prerequisite: MTH 050 or satisfactory placement test score; EC/MC or MC/EA major plan.  Offered Fall, Spring.


+MTH  136  Cr.4

Mathematics for Elementary Teachers II

This course is designed for prospective elementary teachers. Content strands include geometry and measurement, data analysis and statistics, and probability and discrete math. Topics from these strands include: properties of geometric figures, geometric measurement (length, area, volume), congruence and similarity, and transformations; descriptive statistics, sampling design and statistical comparisons, randomness and variability, inferential statistics (including the normal distribution); counting techniques, uniform and nonuniform distributions, and representations and calculations of probabilities for simple and compound events. Aligned with state and national standards, this course will emphasize problem solving, communication, reasoning, and representation in mathematics. Prerequisite: MTH 135 with a grade of 'C' or better.  Offered Fall, Spring.


+MTH  145  Cr.4

Elementary Statistics

An introductory course covering fundamentals of modern statistical methods. Topics include descriptive statistics, the binomial and normal distributions, estimation, and hypothesis testing. The z, t, F and chi-square test statistics are introduced. Instruction in computer use is included, and statistics software is used throughout the course for analyzing data files and carrying out statistical procedures. Prerequisite: MTH 050 or an appropriate placement test score.  Offered Fall, Spring, Summer.


+MTH  150  Cr.4

College Algebra

A college algebra course on the properties, graphs, and applications of elementary functions. Topics include the real and complex numbers, concepts from analytic geometry, solutions to equations and inequalities, the elementary algebraic functions, and the logarithmic and exponential functions. Prerequisite: MTH 051 or two years of high school algebra and an appropriate placement test score. (Successful completion of MTH 151, 175 or 207 precludes taking MTH 150 for credit.)  Offered Fall, Spring, Summer.


+MTH  151  Cr.4

Precalculus

A precalculus course on properties, graphs, and applications of elementary transcendental functions. Topics include concepts from analytic geometry; theory of equations; the logarithmic, exponential, trigonometric, and inverse trigonometric functions; and analytic trigonometry. Prerequisite: Grade of 'C' or better in MTH 150 or 2 yrs of high school algebra and appropriate placement test score. (Successful completion of MTH 151 precludes taking MTH 150. Successful completion of MTH 207 precludes taking MTH 151.)  Offered Fall, Spring, Summer.


MTH  171  Cr.3

Geometry for Elementary and Middle School Teachers

This course explores the fundamental ideas of measurement and geometry concepts in K-8 mathematics. Content includes the investigation of measurement concepts; the analysis and classification of two- and three-dimensional geometric figures; and the exploration and application of geometric transformations, tessellations, symmetry, congruence, and similarity. Aligned with national and state standards, this course will emphasize intuitive direct and indirect proof and reasoning, the investigation and discovery of geometric structures, and the use of manipulative materials and technology. Prerequisite: grade of 'C' or better in MTH 135 and MTH 136.  Offered Fall.


+MTH  175  Cr.4

Applied Calculus

Basic concepts and methods from differential, integral, and multivariate calculus. Logarithmic and exponential functions are included, but not trigonometric functions. Emphasis of the course is on models and applications in business and the social, life, and physical sciences. Prerequisite: grade of 'C' or better in MTH 150 or 2 years of high school algebra and appropriate placement test score. (Successful completion of MTH 175 precludes taking MTH 150. Successful completion of MTH 207 precludes taking MTH 175.)  Offered Fall, Spring, Summer.


+MTH  207  Cr.5

Calculus I

A rigorous introduction to calculus. Topics include limits, rules for differentiation, derivatives of trigonometric, logarithmic and exponential functions, the Mean Value Theorem, integration, and the Fundamental Theorem of Calculus. In the area of applications, the course covers problems on related rates, extrema, areas, volumes, and Newton's Second Law. Prerequisite: grade of 'C' or better in MTH 151 or four years of high school mathematics, including trigonometry, and appropriate placement score. (Successful completion of MTH 207 precludes taking MTH 150, 151, or 175 for credit.)  Offered Fall, Spring, Summer.


+MTH  208  Cr.4

Calculus II

A continuation of Calculus I with a rigorous introduction to sequences and series. Topics include techniques of integration and indeterminate forms, improper integrals, applications of integrals to the physical sciences, tests for the convergence of series, absolute convergence, power series, and Taylor's Theorem with Remainder. First order linear differential equations are explored, as well as the geometry of space. Prerequisite: grade of 'C' or better in MTH 207.  Offered Fall, Spring.


MTH  225  Cr.4

Logic and Discrete Mathematics

An introduction to mathematical reasoning. Mathematical logic, including quantification and the predicate calculus is introduced and used to discuss set theory, relations, functions, counting, graphs, and algorithms. Elementary proofs, including proofs by induction are stressed. Prerequisite: grade of 'C' or better in MTH 175 or MTH 207.  Offered Fall, Spring.


MTH  245  Cr.4

Probability and Statistics

An initial course in probability and statistics for students strong in mathematics.  Probability topics include sample spaces, random variables, independence, and the binomial, Poisson, normal, and exponential distributions and their applications. Calculus-based methods will be used for analyzing continuous distributions. Statistics topics include descriptive statistics, sampling distributions, confidence intervals, hypothesis testing, regression, and ANOVA. Prerequisite: grade of 'C' or better in MTH 208  or concurrent enrollment.  Offered Fall, Spring.


+MTH  265  Cr.4

Mathematical Models in Biology

An introduction to the use of calculus and stochastic based models to the biological sciences. Mathematical tools such as discrete and continuous differential equations, linear algebra, phase portraits, probability theory and descriptive and inferential statistics that are necessary to analyze and interpret biological models will be covered. Biological topics may include single species and interacting population dynamics, modeling infectious diseases, enzyme kinetics, and quantitative genetics. Prerequisite: grade of 'C' or better in MTH 175 or MTH 207.  Offered Spring.


MTH  280  Cr.3

Algebraic Reasoning and Problem Solving

A study of the mathematical processes and techniques that are used to solve a variety of routine and non-routine problems encountered in school mathematics. Emphasis is on communicating logical arguments, applying a variety of problem solving strategies, and developing mathematical models. Topics include investigations in number and algebraic relationships appropriate to the elementary and middle school classroom. Prerequisite: grade of 'C' or better in MTH 135 and MTH 136.  Offered Spring.


MTH  309  Cr.4

Linear Algebra with Differential Equations

A systematic study of linear algebra, and its interactions with differential equations. Topics include: vectors, matrices, systems of linear equations, determinants, vector spaces, subspaces, basis and dimension, linear transformations and their matrix representations, similar matrices and diagonalization, systems of first order linear differential equations, and higher order linear differential equations. Prerequisite: grade of 'C' or better in MTH 208.  Offered Fall, Spring.


MTH  310  Cr.4

Calculus III: Multivariate Calculus

A course in higher dimensional calculus, partial derivatives, and multiple integrals. Topics include parametric curves, polar (and other) coordinate systems, vector fields, scalar fields, the gradient vector, chain rule, Jacobian, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. Prerequisite: grade of 'C' or better in MTH 208.  Offered Fall, Spring.


MTH  311  Cr.3

Number Theory

Topics are selected from such areas as: divisibility and factorization, congruence, distribution of prime numbers, and Diophantine equations. Problem-solving strategies and unsolved problems are stressed. Applications are developed in areas such as primality testing and public key cryptography. Prerequisite: grade of 'C' or better in MTH 225; grade of 'C' or better in MTH 309 or concurrent enrollment.  Offered Fall - Even Numbered Years.


MTH  317  Cr.3

Graph Theory

An introduction to graph theory-emphasizing algorithms. Topics include graphs and sub graphs, isomorphism, degree sequences, digraphs, networks, algorithm complexity and NP-completeness, trees, Euler circuits and Hamilton cycles, planarity and graph coloring. Prerequisite: CS 120; grade of 'C' or better in MTH 225 and MTH 309.  Offered Fall - Odd Numbered Years.


MTH  320  Cr.3

History of Mathematics

A study of the evolution of mathematics. Discussion and evaluation of major periods of development including the lives and works of preeminent mathematicians. A sampling of problem solving methods from various historical periods. Emphasis is on Western mathematics from earliest recorded history through the initial developments of calculus and modern mathematics. Prerequisite: grade of 'C' or better in MTH 309 or concurrent enrollment.  Offered Spring - Odd Numbered Years.


MTH  321  Cr.3

Teaching Mathematics with Technology

This course covers traditional, emerging, and interactive technologies used in the teaching and learning of mathematics. Teacher education candidates will gain an understanding of the use and application of instructional technology. They will explore how software, hardware, and instructional media can be used to enhance mathematics instruction in grades 6-12. Topics include instructional technology for visualizing and exploring mathematics, enhancing and delivering lessons, as well as interactive communication tools. Prerequisite: grade of 'C' or better in either MTH 175 or MTH 207; CT 100 or CS 120; admission to teacher education program or consent of instructor.  Offered Fall.


MTH  331  Cr.3

Introduction to Modern Geometry

A thorough discussion of transformations and their use in proving congruence of geometric figures; selected theorems concerning the triangle and circle, and constructions possible given different parts of a triangle. Prerequisite: grade of 'C' or better in MTH 225; grade of 'C' or better in MTH 309 or concurrent enrollment.  Offered Spring.


MTH  353  Cr.3

Differential Equations

Fundamental existence and uniqueness theory, linear independence and the Wronskian, series solutions near regular singular points, Laplace transforms and systems of first order linear equations. Fourier Series and the method of separations of variables will be applied to the heat equation, wave equation and Laplace's equation. Prerequisite: grade of 'C' or better in MTH 309 and MTH 310.  Offered Fall, Spring.


MTH  371  Cr.3

Introduction to Numerical Methods

Techniques devised for use with computing machinery are applied to problems such as: solving non-linear equations and linear systems, curve-fitting and function approximation, numerical integration. Prerequisite: CS 120; grade of 'C' or better in MTH 309.  Offered Spring.


MTH  395  Cr.1 - 3

Special Topics in Mathematics

Special topics in mathematics not covered by regular courses taught in this department. The particular topic is decided mutually by the student and instructor. Repeatable for credit - maximum 6.   Offered Occasionally.


MTH 405/505  Cr.3

Statistical Methods

A survey of statistical methods from the point of view of how these methods are implemented with a standard statistics software package. Topics include descriptive statistics, graphical methods, tests of location, goodness of fit, simple and multiple regression, design of experiments, ANOVA, multiple comparisons, chi-square tests. Both parametric and nonparametric methods are treated. Computer use is an integral part of the course. Prerequisite: grade of 'C' or better in MTH 145 or MTH 245; junior standing.  Offered Fall.


MTH  407  Cr.3

Real Analysis I

This course covers the basic theory underlying the differential and integral calculus. Convergence of sequences is examined. Theoretical concepts of calculus are examined and particular attention is given to writing proofs. Prerequisite: grade of 'C' or better in MTH 225, MTH 309, and MTH 310.  Offered Fall.


MTH  408  Cr.3

Real Analysis II

This course covers convergence of series and basic theory of power series. Further study of real analysis via selected topics such as the theory of convergence, Lebesque-Stieltjes integration, Fourier Analysis, probability theory, approximation theory and metric spaces.   Prerequisite: grade of 'C' or better in MTH 407.  Offered Spring - Odd Numbered Years.


MTH  410  Cr.3

Complex Analysis

Introduction to complex numbers and complex functions. Analytical functions are developed via power series and Cauchy's Theorem. Topics include Cauchy-Riemann conditions, integration theorems, residues, conformal mapping and applications. Prerequisite: grade of 'C' or better in MTH 309 and MTH 310.  Offered Spring - Even Numbered Years.


MTH  411  Cr.3

Abstract Algebra I

A rigorous approach to algebraic systems including the study of groups, rings, integral domains and fields with application to polynomials. Prerequisite: grade of 'C' or better in MTH 225 and MTH 309.  Offered Fall.


MTH  412  Cr.3

Abstract Algebra II

Continuation of MTH 411. Further study of rings, integral domains and fields. Prerequisite: grade of 'C' or better in MTH 411.  Offered Spring - Even Numbered Years.


MTH  413  Cr.3

Topics in Linear Algebra

A thorough study of selected topics such as abstract vector spaces, linear transformations and their matrix representations, inner product spaces, canonical forms; selected applications. Prerequisite: grade of 'C' or better in MTH 225 and MTH 309.  Offered Spring - Odd Numbered Years.


MTH  421  Cr.4

Teaching and Learning Mathematics and Computer Science in the Secondary School

This course will be integrated with a field experience. In the context of a real classroom, teacher candidates will learn how to plan for and assess student learning in mathematics and computer science. With a focus on content knowledge, teacher candidates will plan a variety of meaningful learning experiences, assess student learning, and monitor and modify instruction to best support the individual learners in the classroom. The teacher candidate will design, enact, and assess activities that advance student understanding to more complex levels. Teacher candidates will gain experience in monitoring the obstacles and barriers that some students or groups of students face in school and learn how to design learning experiences to support all learners. Prerequisite: EDS 351; grade of 'C' or better in MTH 321.  Offered Fall, Spring.


MTH  440  Cr.1

Statistical Consulting

Experiences will include interpersonal written and oral communication and interdisciplinary exposure as well as opportunities to apply statistical knowledge in a broad variety of situations.  Students will take part in consultations (i.e. extracting information, listening, asking appropriate questions), apply knowledge in experimental design, data modeling, use of statistical software, and/or sampling; diagnose and conduct appropriate statistical procedures and interpret and communicate results.  Reading past and present literature on statistical consulting also will be required. Repeatable for credit maximum - 3. Prerequisites: grade of 'C' or better in MTH 245 or MTH 405 and consent of the Statistical Consulting Center director.  Offered Fall, Spring.


MTH  441  Cr.3

Mathematical Statistics I

Review of discrete and continuous random variables. Moment generating functions, multivariate probability distributions, marginal and conditional probability distributions, functions of random variables, order statistics, Central Limit Theorem, point estimation and confidence intervals. Prerequisite: grade of 'C' or better in MTH 245 and MTH 310.  Offered Fall.


MTH  442  Cr.3

Mathematical Statistics II

Methods of estimating, including method of moments and maximum likelihood. Sufficient statistics, hypothesis testing, power of tests, likelihood ratio tests and introduction to regression and analysis of variance. Prerequisite: grade of 'C' or better in MTH 441.  Offered Spring.


MTH 443/543  Cr.3

Categorical Data Analysis

An introduction to categorical data analysis covering summaries and inference for categorical response and count data, analysis of contingency tables, generalized linear models for binary and count data, logistic regression, multicategory logit models and loglinear models for contingency tables with an emphasis on applications and implementation using computer software. Prerequisites: grade of 'C' or better in MTH 245 or MTH 405.  Offered Fall - Even Numbered Years.


MTH 445/545  Cr.3

Correlation and Regression Analysis

An introduction to simple linear regression, multiple regression, polynomial regression. Inferences, appropriateness of model, model diagnostics/adequacy, difficulties in the application of models are discussed. A computer package will be used. Course participants will be involved with hands-on statistical applications and consulting. Prerequisite: grade of 'C' or better in MTH 245 or MTH 405; junior standing.  Offered Fall.


MTH 446/546  Cr.3

Analysis of Variance and Design of Experiments

An introduction to single factor, multiple factor, and randomized block designs in analysis of variance. Inferences, appropriateness of model, model diagnostics/adequacy, difficulties in the application of models are discussed. Design or structure of an experiment will be discussed. A computer package will be used. Course participants will be involved with hands-on statistical applications and consulting. Prerequisite: grade of 'C' or better in MTH 245 or MTH 405; junior standing.  Offered Spring.


MTH 447/547  Cr.3

Nonparametric Statistics

An introductory course presenting the theory and procedures for using distribution-free methods in data analysis. Standard procedures, such as the Wilcoxon tests, Kruskal-Wallis, Kolmogorov-Smirnov, nonparametric confidence intervals, regression analysis, and powers of the tests will be included. Computer programs will be used when appropriate. Prerequisite: grade of 'C' or better in MTH 245 or MTH 405; junior standing.  Offered Spring - Even Numbered Years.


MTH  448  Cr.3

Operations Research

An introductory course which applies mathematics/statistics to management decision making. Included are methods of optimizing systems, inventory and production control, scheduling, game theory bidding, queuing, quality control, reliability and time series. Various programming, analysis and Monte Carlo techniques are introduced with the computer used as a tool where appropriate. Prerequisites: grade of 'C' or better in MTH 245 or MTH 405.  Offered Spring - Odd Numbered Years.


MTH 449/549  Cr.3

Applied Multivariate Statistics

An introduction to applied multivariate statistical methods covering multivariate analysis of variance, multivariate analysis of covariance, repeated measures design, factor analysis, principle component analysis, cluster analysis, discriminate analysis, and multivariate regression. Course participants will be involved with hands-on statistical applications. Prerequisite: grade of 'C' or better in MTH 245 or MTH 405; junior standing.  Offered Fall - Odd Numbered Years.


MTH/PHY  461  Cr.3

Mathematical Physics

In depth study of topics from vector analysis, Fourier analysis and special functions with emphasis on modeling physical phenomena involving conservative fields, fluid flow, heat conduction, and wave motion. MTH 461 may be counted towards both a MTH and PHY major. Prerequisite: grade of 'C' or better in MTH 353. (Cross-listed with MTH/PHY; may only earn credit in one department.)  Offered Spring - Odd Numbered Years.


MTH  480  Cr.3

Studies in Applied Mathematics

Advanced studies of applications of mathematics and computation to solve problems and understand processes from a variety of fields (for example, industry, medicine and the physical and life sciences.) Requirements include an application/ modeling project with a written report and class presentation. Prerequisite: grade of 'C' or better in MTH 353.  Offered Spring - Even Numbered Years.


MTH 495/595  Cr.1 - 3

Special Topics in Mathematics

Special topics in mathematics not covered by regular courses taught in this department, such as topology, set theory and advanced numerical analysis. The particular topic is decided mutually by the students and the instructor. Repeatable for credit - maximum 6. Prerequisite: junior standing.  Offered Occasionally.


MTH 496/596  Cr.1 - 3

Special Topics in Statistics

Special topics in statistics not covered by regular courses taught in this department. The particular topic is decided by the instructor. Repeatable for credits - maximum 6.   Offered Occasionally.


MTH  498  Cr.1 - 3

Independent Study

Directed readings or presentation of material not available in formal departmental courses under the supervision of a faculty member. Prerequisite: written consent of the supervising faculty member and the department chair. Repeatable for credit - maximum 6.   Offered Occasionally.


MTH  499  Cr.1 - 3

Research Topics

An opportunity to pursue individual research topics under the direction of a faculty member. Depending on the nature of the research project, study is expected to involve substantial computational or theoretical work in addition to literature review and instruction. In addition to a written report to the supervising faculty member, expected outcomes may include: software, papers and presentations to the department and regional meetings. Prerequisite: written consent of the supervising faculty member and the department chair. Not applicable to a mathematics major or minor. Repeatable for credit - maximum 6.   Offered Occasionally.