#
MATHEMATICS (MTH)

College of Science and Health

Department Chair: David Koster

1001 Cowley Hall, 608.785.8668

**Professors:** Hoar, Kelly S.,
LeDocq, Reineke, Riley, B., Senger;

**Associate Professors:**
Baggett, Bennie, Boyle, Elfessi, Hulett, Kattchee, Kosiak,
Koster, D., Matchett, Okamoto, Peirce, Toribio, Will;

**Assistant Professors:** Allen,
Bingham, Hasenbank, Mathison, McCool, Yan

## 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,
309, 310, 341, 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.

Students who express interest in the dual
degree program will be selected for entrance into the UW-Madison
portion of the program based on their GPA in all course work;
their GPA in the chemistry, computer science, mathematics and
physics course work required by the program; and the positive
recommendation of the UW-L mathematics department chair (or
designee). Qualified UW-La Crosse applicants are assured
admission in the College of Engineering at UW-Madison.

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) — 37 credits – (41 total credits including CS 120) MTH
207, 208, 225, 309, 310, 407, 411; 9 credits from: MTH 311, 317,
320, 331, 341, 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 341, 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.

## Mathematics Major with Education Emphasis

(All colleges)— 38 credits – (42 total credits including CS 120) MTH 207, 208, 225, 309, 310, 331, 341, 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 Major with Statistics Emphasis

(All colleges, excluding Teacher Certification
programs) — 40 credits – (44 total credits including CS 120),
MTH 207, 208, 305, 309, 310, 341, 440, 441, 442, 445, 446; 3
credits from MTH 371, 407, 443, 447, 449. In addition, CS 120
must be taken.

## Mathematics Major with Concentration in
Actuarial Science

(All colleges, excluding Teacher Certification
programs) — 55 credits – ( 59 total credits including CS 120)
MTH 207, 208, 305, 309, 310, 341, 440, 441, 442, 445, 446, ECO
110, 120; ACC 221, 222; FIN 355; and three credits from MTH 371,
407, 443, 447, 448, 449. In addition, CS 120 must be taken.

## Mathematics Education Major (Early
Adolescence-Adolescence Certification)

(Teacher Certification programs)— 41 credits
(45-46 total credits including CT or CS) - MTH 207, 208, 225,
309, 310, 321, 331, 341, 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, 265, MTH courses
numbered 310 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, 305; 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 341
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, 309, 310, 331 and 341.

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

**Mathematics Minor**

(Middle Childhood-Early Adolescence Education
Program) — 22 credits – MTH 125, 126, 171, 280, 175 or 207; four
credits from MTH 145, 151, 208, 265, MTH courses numbered 300
and above.

## Mathematics Minor with Education Emphasis

(All colleges) — 28 credits – MTH 207, 208,
225, 309, 310, 331, 341.

**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. **

+ above a course number indicates a

**General Education*** *
course.

### MTH 050
Cr. 3 transcript*

### 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 transcript*

### 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. Prerequisite: MTH 050 or an appropriate placement
test score. Letter grade, but only F calculated in GPA. Offered
Fall, Spring.

*Transcript credit does not count toward
graduation.

### MTH 125
Cr. 4

### Mathematics for Elementary Teachers

A study of the mathematical concepts and
techniques that are fundamental to, and form the basis for,
elementary school mathematics. Topics include problem solving,
inductive and deductive reasoning, sets, number systems through
the real numbers, number theory, measurement, and 2-and
3-dimensional geometry. Prerequisite: MTH 051 or satisfactory
placement test score. Offered Fall, Spring.

+

### MTH 126
Cr. 4

### Mathematics for Elementary Teachers II

Continued study of the mathematical concepts
and techniques that are fundamental to, and form the basis for,
elementary school mathematics. Topics include use of probability
and statistics to explore real-world problems; representation
and analysis of discrete mathematical problems using counting
techniques, sequences, graph theory, arrays and networks; use of
functions, algebra and the basic concepts underlying the
calculus in real-world applications. Prerequisite: MTH 125 (and
MTH 051 or satisfactory placement test score for transfer
students). 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: MTH 150 or two years of high school algebra and an
appropriate placement test score. (Successful completion of MTH
151 precludes taking MTH 150 for credit. Successful completion
of MTH 207 precludes taking MTH 151 for credit.) Offered Fall,
Spring, Summer.

### MTH 171
Cr. 3

### Geometry for Elementary Teachers

Analysis and description of 2- and 3-dimension
geometric concepts. Intuitive, direct, and indirect proofs and
applications of geometric principles. Transformations,
similarities and symmetry. Some topics from measurement.
Prerequisites: MTH 125 and either MTH 150 or math placement
above MTH 150. 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: MTH
150 or two years of high school algebra and an appropriate
placement test score. (Successful completion of MTH 175
precludes taking MTH 150 for credit. Successful completion of
MTH 207 precludes taking MTH 175 for credit.) 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: 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: 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: MTH 175 or 207. 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: MTH 175 or
207. Offered Fall, Spring.

### MTH 280
Cr. 3

### Problem Solving for Elementary Teachers

A high activity course designed to enhance
skills in problem solving. Includes methods of representing
problems, general strategies for solving problems, creative
problem posing and ways to evaluate progress in problem solving
skills. Examples taken from the elementary school curriculum.
Prerequisites: MTH 125 and either MTH 150 or math placement
above MTH 150. Offered Spring.

### MTH 305/505
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: MTH 145 or 341.
Offered Fall.

### 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: 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: 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. Prerequisites: MTH 225 and 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. Prerequisites: MTH 225, 309; CS
120. Offered Fall.

### 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: 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. Prerequisites: MTH 175 or 207; CT 100 or CS 120;
admission to teacher education program (STEP) 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. Prerequisites: MTH
225 and 309 or concurrent enrollment. Offered Spring.

### MTH 341
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: MTH 208. Offered Fall, 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. Prerequisites: MTH 309 and
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. Prerequisites: MTH 309 and
CS 120. 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. Prerequisite:
written consent of department chair. Repeatable for credit —
maximum six. Offered occasionally.

### 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. Prerequisites:
MTH 225, 309, 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:
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. Prerequisites: MTH 309 and 310. Offered Spring,
even-numbered years.

### MTH 411
Cr. 4

### Abstract Algebra I

A rigorous approach to algebraic systems
including the study of groups, rings, integral domains and
fields with application to polynomials. Prerequisites: MTH 225
and 309. Offered Fall.

### MTH 412
Cr. 3

### Abstract Algebra II

Continuation of MTH 411. Further study of
rings, integral domains and fields. Prerequisite: 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. Prerequisites: MTH 225 and 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. Prerequisites: EDS
351 and 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. Prerequisites: MTH
305 or 341 and written consent of the Statistical Consulting
Center director. Repeatable for credit — maximum three. 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. Prerequisites: MTH 310 and 341. 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: 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. Prerequisite: MTH 305 or 341. 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: MTH 305 or 341. 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: MTH 305 or 341.
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: MTH 305 or 341. 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. Prerequisite: MTH 305
or 341. 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: MTH 305 or 341. 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. Prerequisite: MTH 353.
(Cross-listed with PHY; may only earn credit in MTH or PHY.) MTH
461 may be counted towards both a MTH and PHY major. 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: 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.
Prerequisite: written consent of the department chair.
Repeatable for credit — maximum six. 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. Prerequisite: written consent of
the department chair. Repeatable for credits – maximum six.
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 six. 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 six. Offered occasionally.