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Deparrtment of Mathematical
		    Sciences

under construction Links to Math and Stat Courses under construction
(this site is current only for Spring 2008 courses)
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Mathematics Courses - Undergraduate
MATH 103 Introductory Algebra
Course information for Tutor Assisted Courses (TAC).
MATH 105 Algebra for College Students
Course Supervisor: Tom Hayes
Required Text: College Algebra, Custom edition by Robert Blitzer
Focus is on using previously learned algebra to model and solve problems, and to explore various types of functions such as linear, quadratic, polynomial, exponential, and logarithmic.
MATH 130 Math for Elementary Teachers I
Course Supervisor: Dr. David Yopp
Required Text: Mathematics for Elementary Teachers: A Contemporary Application, Gary L Musser, William F. Burger, & Blake E. Peterson
Introduction to problem solving, sets, functions, logic, numerations systems as a mathematical structure, introductory number theory, rational, and irrational numbers and probability for prospective elementary school teachers.
MATH 131 Math for Elementary Teachers II
Course Supervisor: Mary Ann Sojda
Required Text: Mathematics for Elementary Teachers: A Contemporary Application, Gary L musser, William F. Burger, & Blake E. Peterson
Required Test: What Do You Expect?, Lappanet. al.
Introductory geometry, constructions, congruence and similarity, concepts of measurement, coordinate geometry, problem solving revisited, and computer applications for prospective elementary school teachers.
MATH 149 Secrets of the Infinite
Instructors: Judy Tucker and John Antonioli
Required Text: Various Lab Packets at Cards 'N Copies Intriguing problems, puzzles, and paradoxes studied from an historical perspective. Hands-on thought experiments follow mathematical ideas as they evolved from ancient beginnings into their modern contexts. Topics vary by semester.
MATH 150 Liberal Arts Mathematics
Course Supervisor: Dr. John Lund
Required Text: The Mathematical Pallette, 3rd edition, by Staszkow & Bradshaw
Basic skills in applicable mathematics including financial matters (simple and compound intrest, annuities and loans), trigonometry and some elementary statistics.
MATH 151 The Language of Mathematics
Course Supervisor: Dr. Warren Esty
Required Text: The Language of Mathematics 2008 edition by Warren Esty
Reading comprehension and writing skills in the language of mathematics. Vocabularly, grammar, and syntax. Logic for mathematics. Emphasis on understanding, expressing, proving, and thinking mathematical thoughts.
MATH 160 Precalculus
Course Supervisor: Dr. Warren Esty
Required Text: Precalculus, 3rd edition, by Warren Esty
A course designed to produce a deep understanding of algebra and trigonometry so students will be well-prepared for calculus.
MATH 170 Survey of Calculus
Course Supervisor: Dr. Russ Walker
Required Text: Applied Calculus for the Managerial, Life, and Social Sciences, 7th edition, by Soo T. Tan
A survey of basic calculus including limits, differentiation, and integration with applications to business, biology, and social science problems.
MATH 175 Calculus for Technology I
Course Supervisor: Dr. Russ Walker
Required Text: Technical Calculus 5th edition, by Dale Ewen, Joan S. Gary, & James E. Trefzger
Calculus with emphasis on problems of interest to engineering technologists. Includes analytic geometry, differentiation, and introduction to integration.
MATH 176 Calculus for Technology II
Course Supervisor: Dr. Russ Walker
Required Text: Technical Calculus, 5th edition, by Dale Ewen, Joan S. Gary, & James E Trefzger
Calculus with emphasis on problems of interest to engineering technologies. Includes analytic geometry, dfferentiation, and introduction to integration.
MATH 181 Calculus & Analytic Geometry I
Course Supervisor: Dr. Marcy Barge
Required Text: Single Variable Calculus: Early Transcendentals, 6th edition, by James Stewart
This first semester of calculus concentrates on the fundamentals of the derivative and its applications: tangent lines to curves; optimization problems; velocity and acceleration. There is also an introduction to integration with applications to geometry and physics.
MATH 182 Calculus & Analytic Geometry II
Course Supervisor: Sandy Bowers
Required Text: Single Variable Calculus: Early Transcendentals, 6th edition, by James Stewart
Integration theory, methods of integration, applications of the integral, Taylor's theorem, infinite sequences and series.
MATH 192 Honors Calculus & Analytic Geometry II
Course Supervisor: Dr. Russ Walker
Required Text: Single Variable Calculus: Early Transcendentals, 6th edition, by James Stewart
Topic coverage parallels Math 182 but with a greater emphasis on theory and more difficult problems.
MATH 221 Matrix Theory
Course Supervisor: Dr. Jarek Kwapisz
Required Text:
Matrix algebra, systems of linear equations, determinants, vector algebra & geometry in Euclidean 3-space, eigenvalues, eigenvectors..
MATH 224 Calculus of Functions of Several Variables
Course Supervisor: Dr. Richard Swanson
Required Text: Calculus: Early Transcendentals, 5th edition, by James Stewart
Topics in two and three dimensional geometry. Manipulation and application of vectors. Functions of several variables, contour maps, graphs, partial derivatives, gradients, double and triple integration, vector fields, line integrals, surface integrals, Green's Theorem, Stoke's Theorem, the Divergence Theorem.
MATH 225 Introduction to Differential Equations
Course Supervisor: Dr. Lisa G. Davis
Required Text: Elementary Differential Equations, 8th edition, by William E. Boyce & Richard C. DiPrima
An introduction to the qualitative and quantitative methods for ordinary differential equations. Topics include modeling via differential eqautions, linear and nonlinear first order differential equations, linear second order differential equations, higher order linear equations (limited discussion), Laplace transform techniques, series solutions and first order systems(limited discussion).
MATH 235 Honors Introduction to Differential Equations
Course Supervisor:Dr. Lisa G. Davis
Required Text:
Topic coverage parallels MATH 225 but with greater emphasis on theory and more difficult problem solving.
MATH 256 Introduction to Higher Mathematics
Instructor: Dr. Warren Esty
Required Text: Proof, by Warren Esty
Reasoning and communication in mathematics, including logic, generalization, existence, definition, proof, and the language of mathematics. Topics include functions, set theory, recursion, algebra, number theory, and other oreas of mathematics.
MATH 329 Modern Geometry
Course Supervisor:Dr. Beth Burroughs
Required Text: College Geometry Using The Geometer's Sketchpad, by Reynolds & Fenton
Euclidean, hyperbolic, spherical, projective, finite, & fractal geometries, linear transformations and their matrix representations; computer & telecommunications tools for geometry, NTCM standards.
MATH 349 Techniques of Applied Mathematics II
Instructor: Dr. John Lund
Required Text: Advanced Engineering Mathematics, 2nd edition, by Duffy & Taylor
Topics include: Sturm-Liouville theory, partial differential equations boundary value problems & Laplace Transform methods.
MATH 362 Advanced Calculus II
Instructor: Dr. Warren Esty
Required Text: A Friendly Introduction to Analysis, 2nd edition, by Witold A.J. Kosmala
The modern rigorous approach to mathematics in the context of calculus. Proofs in the topics of integration, infinite series, sequences and series of functions, and functions of two variables.
MATH 416 Modern Algebra
Instructor: Dr. Jack Dockery
Required Text: Introduction to Modern Algebra, by Durbin
Senior capstone course. The integera, integers modulo n, the Euclidean algorithm. Groups, subgroups, normal subgroups, quotient groups, homomorphism, and isomorphism theorems, and abelian groups. Rings, ideals, homomorphism and isomorphism theorms, integra domains, fields, and fields of quotients.
MATH 434 Mathematical Statistics
Instructor: Dr. John Borkowski
Required Text: Introduction to Probablity and Mathematical Statistics, 2nd edition, by Bain & Engelhardt
Introducation to the theory of point estimation, interval estimation, and hypothesis testing.
MATH 442 Numerical Solution of Differential Equations
Instructor: Dr. Isacc Klapper
Required Text: Computer Methods for Ordinary Differential Equations, by Ascher
Required Text:Analysis of Numerical Methods, by Isaacson
Senior Capstone Course. Numerical integration, numerical solutions of initial & boundary value problems in ordinary differential equations. Numerical solutions of partial differential equations.
MATH 449 Introduction to Compex Analysis
Course Supervisor: Dr. Mark Pernarowski
Required Text:
Topics include complex numbers, analytic functions, Taylor and Laurent expansions, Cauchy's theorem, and evaluation of integrals by residues.
MATH 451 Applied Mathematics II
Instructor: Dr. Lisa G. Davis
Required Text: Applied Mathematics, 3rd edition, by J. Davis Logan
Topics involve methods for linear and nonlinear partial differential equations, including introductions to Green's functions, Fourier analysis, shock waves, conservation laws, maximum and minimum principles, and integral equations.
 
 
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Statistics Courses - Undergraduate
STAT 216 Elementary Statistics
Course Supervisor: Dr. Miguel Paz
Required Text: Introduction to the Practice of Statistics, 5th edition, by David S. Moore & George P. McCabe
Conventional notation and equations are used to explain traditional and robust estimates of location and variability, fundamentals of probability theory, confidence intervals, and tests of hypothesis for normal distributions.
STAT 217 Intermediate Statistical Concepts
Course Supervisor: Dr. Jeff Banfield
Required Text: Introduction to the Practice of Statistics, 5th edition, by David S. Moore & George P. McCabe
One-and two sample tests and associated condfidence intervals for means and proportions; one-way analysis of variance; F-tests, correlation, regression, contingency tables. Statistical analysis using the computer.
STAT 226 Honors Elementary Statistics
Course Supervisor: Dr. John Borkowski
Required Text:
Honors sections of STAT 216. Topic coverage parallels STAT 216 but with greater emphsis on applications, data analysis and interpretation, statistical computing, and statistics in the media.
STAT 332 Statistics for Scientists & Engineers
Instructor: Dr. Robert Boik
Required Text: Probability and Statistics for Engineering and the Sciences, 7th edition, by Jay L. Devore
Methods of estimation, collection, analysis and display of quantitative information, continuous, and discrete random variables, families of probability distributionsm, hypothesis testing, regression, ANOVA.
STAT 401 Statistics for Researchers
Instructor: Dr. Robert Boik
Required Text: Statistics: The Exploration and Analysis of Data, 5th edition, by Jay L. Devore & Roxy Peck
This course is intended for graduate students not majoring in a mathematical science. Populations, samples, and sampling distributions: inferences for a single mean, differences between two means, and differences between k means; linear contrasts; simple linear regression.
STAT 410 Applied Multiple Regression
Instructor: Dr. Steve Cherry
Required Text: Applied Linear Statistical Models, 5th edition, by M.H. Kutner, C.J. Nachtsheim, J. Neter,W. Li
Multiple linear regression using matrix notation, diagnostics, transformations and dummy variables, variable selection.
STAT 412 Analysis of Variance & Design of Experiments
Instructor: Dr. Megan Higgs
Required Text: Applied Linear Statistical Models, 5th edition, by Kutner
One way, two-way and higher-way layouts ANOVA; interaction, fixed, random and mixed effects; conpletely randomized design, randomized complete block design, Latin square design and nested designs.
STAT 424 Mathematical Statistics
Instructor: Dr. John Borkowski
Required Text: Introduction to Probability and Mathematical Statistics, 2st edition, by Bain
Senior capstone course. Introduction to the theory of point estimation, interval estimation, and hypothesis testing.
STAT 438 Statistical Computing and Graphical Analysis
Instructor: Dr. Jim Robison-Cox
Required Text: The Little SAS® Book, 3rd edition by Delwiche and Slaughter
Introduction to statistical packages SAS® and S, including data importation, graphing, and basic analysis. Emphasis on use of graphical displays to explore, understand and present data.
STAT 439 Introduction to Categorical Data Analysis
Instructor: Dr. Mark Greenwood
Required Text: Introduction to Categorical Data Analysis, 2nd edition by Agresti
Contigency table analysis, Poisson regression, logistic regression, log-linear models, multicategory logit models.
 
 
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Past Courses
MATH 441 Numerical Linear Algebra & Optimization
Instructor: Dr. Mark Pernarowski
MATH 442 Numerical Solution of Differential Equations
Instructor: Dr. Mark Pernarowski
MATH 450 Applied Mathematics I
Instructor: Dr. Lisa Davis
MATH 455 Introduction to Dynamical Systems II
Instructor: Dr. Mark Pernarowski
MATH 503 Advanced Linear Algebra
Instructor: Dr. Ken Bowers
MATH 560-61 Methods of Applied Mathematics I & II
Instructor: Dr. Mark Pernarowski
MATH 581 Numerical Solution of Partial Differential Equations I
Instructor: Dr. Curt Vogel
MATH 591 Mathematical Physiology (2001)
Instructor: Dr. Mark Pernarowski
MATH 611 Structure and Mechanisms of Complex Biological Systems
Interdisciplinary course for CBS (IGERT) program.
 
STAT 501 Intermediate Probability & Statistics
Instructor: Dr. Robert Boik
STAT 502 Intermediate Mathematical Statistics
Instructor: Dr. Robert Boik
STAT 522 Stochastic Processes
Instructor: Dr. John Borkowski
STAT 526 Experimental Design
Instructor: Dr. Jarrett Barber
STAT 537 Classic Mulitvariate Analysis I
Instructor: Dr. Robert Boik
STAT 550 Advanced Mathematical Statistics II
Instructor: Dr. Robert Boik
STAT 537 Elementary Statistics
Course Supervisor: Dr. Miguel Paz
Required Text: Introduction to the Practice of Statistics, 5th edition, by David S. Moore & George P. McCabe
Conventional notation and equations are used to explain traditional and robust estimates of location and variability, fundamentals of probability theory, confidence intervals, and tests of hypothesis for normal distributions.
 
 
 
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Contact Us
Department of Mathematical Sciences
P.O. Box 172400
Bozeman, MT 59717-2400

Tel: (406) 994-3601
Fax: (406) 994-1789
Location: 2-214 Wilson Hall

Department Head:
Dr. Ken Bowers
bowers@math.montana.edu

 
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