| Mathematics |
MATH 301 - Elementary Math I
Credits:
4.00
Beginning algebra including integer operations, solving
linear equations, graphing linear functions, solving
linear inequalities, systems of linear equations,
polynomials, rational expressions and equations, and
exponents and radicals. May not be taken for credit toward
a bachelor's degree.
MATH 302 - Elementary Math II
Credits:
4.00
Review of elementary algebra, exponents, polynomials,
factoring, rational exponents, and absolute value. Solving
linear and quadratic equations and inequalities; systems of
equations; radical equations. Linear functions and related
notions; quadratic functions. May not be taken for credit
toward a bachelor's degree. Prereq: MATH 301 or the
equivalent.
MATH 418 - Analysis and Applications of Functions
Credits:
4.00
Analysis and applications of algebraic and transcendental
functions, with special emphasis on exponential,
logarithmic, and trigonometric functions. Graphical
analysis. Written projects are required on some or all of
the following topics: rates of change, optimization,
logarithmic or exponential modeling, and trigonometric
functions. Intended for students planning to take MATH 425.
Prereq: MATH 302 or equivalent. Not offered for credit if
credit is received for MATH 424 or MATH 425.
MATH 420 - Finite Mathematics
Credits:
4.00
Topics selected from probability, systems of linear
equations, matrix algebra, linear programming, mathematics
of finance. Not a preparation for calculus. Prereq: MATH
302 or the equivalent. Not offered for credit to
mathematics majors.
MATH 424A - Calculus for Social Sciences
Credits:
4.00
Real-valued functions and their graphs; derivatives and
their applications; antiderivatives and areas;
exponentials and logarithms; introduction to multivariable
calculus and partial derivatives. Primarily intended for
majors in College of Liberal Arts and the Whittemore School
of Business and Economics. Prereq: MATH 418 or equivalent.
(Not offered for credit to CEPS majors; not offered for
credit if credit is received for MATH 425.) Students
enrolling in MATH 424 are required to take a competency
evaluation on algebra during the first week of the
semester. Those doing unsatisfactory work will be required
to take MATH 418 before enrolling in MATH 424 or to
complete review assignments in the Mathematics Center (MaC)
concurrently with MATH 424. Students who desire a
two-semester calculus course are strongly advised to take
MATH 425. Those students who successfully complete MATH
424A and subsequently wish to continue their study of
mathematics with MATH 426 are required to complete
successfully a supplementary module and examination on
trigonometric content.
MATH 424B - Calculus for Life Sciences
Credits:
4.00
Real-valued functions and their graphs; derivatives and
their applications; antiderivatives and areas;
exponentials and logarithms; introduction to multivariable
calculus and partial derivatives. Primarily intended for
majors in College of Life Sciences and Agriculture. Prereq:
MATH 418 or equivalent. (Not offered for credit to CEPS
majors; not offered for credit if credit is received for
MATH 425.) Students enrolling in MATH 424 are required to
take a competency evaluation on algebra during the first
week of the semester. Those doing unsatisfactory work will
be required to take MATH 418 before enrolling in MATH 424B
or to complete review assignments in the Mathematics Center
(MaC) concurrently with MATH 424. Students who desire a
two-semester calculus course are strongly advised to take
MATH 425. Those students who successfully complete MATH
424B and subsequently wish to continue their study of
mathematics with MATH 426 are required to complete
successfully a supplementary module and examination on
trigonometric content.
MATH 425 - Calculus I
Credits:
4.00
Calculus of one variable covering limits, derivatives of
algebraic, trigonometric, exponential, and logarithmic
functions; applications include curve sketching, max-min
problems, related rates, and volume and area problems.
Prereq: completing MATH 418 with a grade of C or better or
qualifying with the placement evaluation. (Not offered for
credit if credit is received for MATH 424.)
MATH 425H - Honors/Calculus I
Credits:
4.00
See description for MATH 425. Enrollment in MATH 425H
requires concurrent enrollment in PHYS 407H.
MATH 426 - Calculus II
Credits:
4.00
Second course in calculus of one argument, techniques and
applications of integration, polar coordinates, and
series. Prereq: MATH 425.
MATH 426H - Honors/Calculus II
Credits:
4.00
See description for MATH 426. Enrollment in MATH 426H
requires concurrent enrollment in PHYS 408H.
MATH 525 - Linearity I
Credits:
6.00
Examines the fundamental role that linear models play in
science and engineering; and the role of linearization in
understanding nonlinear phenomena. Models are considered
along several conceptual axes: discrete to continuous,
one-dimensional to multidimensional, and static to dynamic,
with an emphasis on the former. Mathematical areas of
coverage include matrix algebra, concepts from calculus of
several variables, difference equations, and linear
transformations. Prereq: MATH 426, permission. Lab.
MATH 526 - Linearity II
Credits:
6.00
Continuation of study of linear models and the process of
linearization begun in MATH 525, with an emphasis on
models of dynamic phenomena. Additional mathematical areas
of coverage include differential equations, eigenvalue and
eigenvector analysis, phase plane analysis, and additional
concepts from vector calculus. Prereq: MATH 525,
permission. Lab.
MATH 527 - Differential Equations with Linear Algebra
Credits:
4.00
Fundamental methods of solving first-order equations,
essentials of matrix algebra; higher-order linear
equations, and linear systems; series solutions; Laplace
transforms; selected applications. Prereq: MATH 426.
MATH 528 - Multidimensional Calculus
Credits:
4.00
Partial differentiation; composite functions and chain
rules; maximum and minimum; transformations; vector
algebra; vector functions; gradient, divergence, and curl;
curves and surfaces; multiple, line, and surface integrals;
divergence, Green's and Stoke's theorem. Prereq: MATH 426.
MATH 531 - Mathematical Proof
Credits:
4.00
Introduces reading and writing proofs in mathematics. The
basic language of mathematics common to all branches of
the subject, especially set theory and basic logic. Prereq:
MATH 426. Writing intensive.
MATH 532 - Discrete Mathematics
Credits:
4.00
Counting principles (including permutations, combinations,
pigeonhole principle, inclusion-exclusion principle);
big-O relation; graphs, trees, and related topics. Prereq:
MATH 531.
MATH 545 - Introduction to Linear Algebra and Mathematical Proof
Credits:
4.00
Introduction to mathematical writing and proof in the
context of basic linear algebra. Designed to reinforce
ideas seen throughout the mathematics curriculum. Centered
on an intense study of vector spaces and linear systems,
beginning with a brief study of linear system equations,
progressing to a discussion of linear transformation and
vector spaces. (Not offered for credit if credit is
received for MATH 645.) Prereq: MATH 426. Writing
intensive. (Offered in the fall semester only.)
MATH 601 - Exploring Mathematics for Teachers I
Credits:
4.00
Provides prospective elementary teachers with the
opportunity to explore and master concepts involving
number systems and operations, data analysis and
probability. Mathematical reasoning, problem solving, and
the use of appropriate manipulatives and technology are
integrated throughout the course. Readings, class
discussions, and assignments focus on mathematics content
as well as applicable theories of learning, curriculum
resources, and state and national recommendations. The
course models instructional techniques that can be adapted
to the elementary curricula. Prereq: EDUC 500. (Not offered
for credit if credit is received for MATH 621, 623, 721,
and/or 723; not offered for credit to CEPS majors.)
MATH 602 - Exploring Mathematics for Teachers II
Credits:
4.00
Provides prospective elementary teachers with the
opportunity to explore and master concepts involving
geometry, measurement, and algebraic thinking. Mathematical
reasoning, problem solving, and the use of appropriate
manipulatives and technology are integrated throughout the
course. Readings, class discussions, and assignments focus
on mathematics content as well as applicable theories of
learning, curriculum resources, and state and national
recommendations. The course models instructional techniques
that can be adapted to the elementary curricula. Prereq:
EDUC 500. (Not offered for credit if credit is received for
MATH 621, 622, 721, and/or 722; not offered for credit to
CEPS majors.)
MATH 619 - Historical Foundations of Mathematics
Credits:
4.00
Historical development of number theory, geometry,
probability, algebra, and analysis. Study of the
significant mathematical contributions to these topics made
by prominent mathematicians spanning several historical
periods. Prereq: MATH 531 or 545.
MATH 621 - Number Systems for Teachers
Credits:
4.00
Problem solving; counting and set concepts, number systems
(whole numbers, integers, rational, and real numbers);
number theory; estimation and mental calculation
techniques; and applications requiring calculators and
computers. Manipulatives and models are used in a lab
setting to illustrate the concepts and properties of the
number systems and teach number sense. (Not offered for
credit to mathematics majors, except those in elementary or
middle school options of the B.S. in Mathematic Education
degree program.) Offered in alternate years in the fall
semester. Prereq: permission.
MATH 622 - Geometry for Teachers
Credits:
4.00
Properties of plane and space figures; tessellations;
symmetry; LOGO computer language; nonstandard, English,
and metric units of measure; area and perimeter; volume and
surface area; estimations and approximations of
measurements; constructions; congruence and similarity
mappings; problem solving using geometric and algebraic
skills, and applications requiring calculators and
computers. Manipulatives and models are used in a lab
setting to illustrate concepts and properties of geometry.
(Not offered for credit to mathematics majors, except those
in the elementary or middle school options of the B.S. in
Mathematic Education degree program.) Offered in alternate
years in the spring semester following MATH 621. Prereq:
MATH 621 or permission.
MATH 623 - Topics in Mathematics for Teachers
Credits:
4.00
Logic (valid and invalid forms of reasoning); descriptive
statistics (graphs, measures of central tendency, measures
of variation); inferential statistics (samplings,
distributions, measures of relative standing, simulations);
probability (experimental, geometrical, and theoretical);
permutations and combinations; probability simulations;
problem solving using skills from statistics and
probability; mathematical connections and communication
review of computer software; and applications requiring
calculators and computers. (Not offered for credit to
mathematics majors, except those in the elementary or
middle school options of the B.S. in Mathematics Education
degree program.) Offered in alternate years in the fall
semester following MATH 622. Prereq: MATH 621 of permission.
MATH 624 - Analysis for Secondary School Teachers
Credits:
4.00
Examines concepts from calculus and pre-calculus
mathematics with an emphasis on connecting and logically
refining the concepts of function, limit, sequences,
series, and probability. Includes a deeper analysis of
problems and topics drawn from secondary school mathematics
with the kind of mathematical knowledge and sophistication
that the student has gained from other collegiate
mathematics courses. Proofs for many of the theorems that
are typically introduced in a non-rigorous fashion in
calculus are studied. Prereq: MATH 425, 545 or equivalent,
EDUC 500 or by permission. Offered in alternate years in
the spring semester following MATH 623.
MATH 639 - Introduction to Statistical Analysis
Credits:
4.00
Introduces concepts of probability and scientific methods
for data analysis. Exploratory data analysis, survey
sampling, probability, discrete and continuous
distributions, confidence intervals, hypothesis testing,
comparing samples, linear regression, analysis of variance.
Statistical software, such as JMP or Minitab used. Offered
primarily for mathematics majors at the sophomore level;
engineering majors are urged to take MATH 644. (Not offered
for credit if credit is received for MATH 644.) Offered in
spring semester only. Prereq: MATH 426.
MATH 644 - Statistics for Engineers and Scientists
Credits:
4.00
Introduces the design of controlled experiments and the
collection and analysis of scientific data. Use of a
statistical software package is an integral part of the
course; interpreting and drawing conclusions from standard
software output is emphasized. Graphical data analysis,
statistical process control, regression and correlation,
multifactor experimental designs, confidence intervals,
hypothesis testing. (Not offered for credit if credit is
received for MATH 639.) Prereq: MATH 426.
MATH 645 - Linear Algebra for Applications
Credits:
4.00
Fundamental notions of vector space theory, linear
independence, basis, span, scalar product, orthogonal
bases. Includes a survey of matrix algebra, solution of
systems linear equations, rank, kernel, eigenvalues and
eigenvectors, the LU- and QR-factorizations, and least
squares approximation. Selected applications in
mathematics, science, engineering and business. Prereq:
MATH 426. (Not offered for credit if credit is received for
MATH 545 or MATH 762.)
MATH 646 - Introduction to Partial Differential Equations
Credits:
4.00
Introduces the solution of partial differential equations.
Models arising from initial-boundary-value problems of
mathematical physics and Sturm-Liouville problems are
examined; solution techniques include separation of
variables, Bessel functions, series expansions by
orthogonal functions, and numerical methods. Prereq: CS 410
or 415; MATH 527; 528; 645; /or permission.
MATH 647 - Complex Analysis for Applications
Credits:
4.00
Complex numbers, analytic functions, Cauchy-Riemann
equations, conformal mapping, contour integration,
Cauchy's integral formula, infinite series, residue
calculus, Fourier and Laplace transforms. Prereq: MATH 528.
(Not offered for credit if credit is received for MATH 788.)
MATH 656 - Introduction to Number Theory
Credits:
4.00
Unique factorization, arithmetic functions, linear and
quadratic congruences, quadratic reciprocity law,
quadratic forms, introduction to algebraic numbers. Prereq:
MATH 531. Offered in alternate years.
MATH 657 - Geometry
Credits:
4.00
Advanced approach to fundamental properties of Euclidean
and other geometries. Prereq: MATH 531. Writing intensive.
MATH 658 - Topics in Geometry
Credits:
4.00
Topics selected from among projective geometry, finite
geometrics, convexity, transformational geometry,
non-Euclidean geometry, and other areas of elementary
geometry within the framework of modern mathematics.
Prereq: MATH 657. Offered in alternate years.
MATH 696 - Independent Study
Credits:
1.00 to 4.00
Individual projects of study developed by the student and
a faculty sponsor. Intended for students with superior
scholastic achievement. May be repeated up to 8 credits.
May be taken as writing intensive. Prereq: a written
proposal, including goals and assessment, endorsed by a
faculty sponsor and approved by the department chairperson.
MATH 696W - Independent Study
Credits:
1.00 to 4.00
See description for MATH 696. Writing intensive.
MATH 698 - Senior Seminar
Credits:
4.00
Explores mathematical topics beyond the student's previous
coursework. Focuses on problem solving, generation of
problems, and oral and written communication of
mathematics. Prereq: senior standing in mathematics or
mathematics education.
MATH 700 - Introduction to Mathematics Education
Credits:
4.00
General background information about mathematics
education, such as theories of learning and teaching
mathematics, mathematics curricula, classroom management,
and techniques the teaching, learning, and assessment of
mathematics that are common to all levels of mathematics
education. Prereq: MATH 426, EDUC 500 or equivalent, or by
permission.
MATH 701 - Exploring Mathematics for Teachers I
Credits:
4.00
Provides prospective elementary teachers with the
opportunity to explore and master concepts involving
number systems and operations, data analysis and
probability. Mathematical reasoning, problem solving and
the use of appropriate manipulatives and technology are
integrated throughout the course. Readings, class
discussions, and assignments focus on mathematics content
as well as applicable theories of learning, curriculum
resources, and state and national recommendations. The
course models instructional techniques that can be adapted
to the elementary curricula. Credit offered only to M.Ed.
and M.A.T., certificate-only students, and in-service
teachers. Prereq: EDUC 500. (Not offered for credit if
credit is received for MATH 621, 623, 721, and/or 723.)
MATH 702 - Exploring Mathematics for Teachers II
Credits:
4.00
Provides prospective elementary teachers with the
opportunity to explore and master concepts involving
geometry, measurement, and algebraic thinking. Mathematical
reasoning, problem solving and the use of appropriate
manipulatives and technology are integrated throughout the
course. Readings, class discussions, and assignments will
focus on mathematics content as well as applicable theories
of learning, curriculum resources, and state and national
recommendations. The course models instructional techniques
that can be adapted to the elementary curricula. Credit
offered only to M.Ed. and M.A.T., certificate-only
students, and in-service teachers. Prereq: EDUC 500. (Not
offered for credit if credit is received for MATH 621, 622,
721, and/or 722.)
MATH 703 - Teaching of Mathematics, K-6
Credits:
4.00
Methods of teaching; uses of manipulatives, models, and
diagrams in instruction; purposes and methods of
assessment; curriculum standards and goals; review and
evaluation of textbooks and computer software; uses of
calculators and computers; teaching reading and writing in
mathematics. Prereq: MATH 621 or 721; EDUC 500 or
permission. Offered in alternate years in the spring semeste
MATH 721 - Number Systems for Teachers
Credits:
4.00
Problem solving; counting and set concepts, number systems
(whole numbers, integers, rational, and real numbers);
number theory; estimation and mental calculation
techniques; and applications requiring calculators and
computers. Manipulatives and models are used in a lab
setting to illustrate the concepts and properties of the
number systems. Credit offered only to M.Ed. and M.A.T.,
certificate-only students, and in-service teachers. Prereq:
permission. Offered in alternate years in the fall semester.
MATH 722 - Geometry for Teachers
Credits:
4.00
Properties of two- and three-dimensional figures;
tessellations; symmetry; nonstandard, English, and metric
units of measure; area and perimeter; volume and surface
area; estimations and approximations of measurements;
constructions; congruence and similarity mappings;
applications requiring calculators and computers.
Manipulatives and models are used in a lab setting to
illustrate concepts and properties of geometry. Credit
offered only to M.Ed. and M.A.T., certificate-only
students, and in-service teachers. Prereq: 721 or
permission. Offered in alternate years in the spring
semester following MATH 721.
MATH 723 - Topics in Mathematics for Teachers
Credits:
4.00
Descriptive statistics; inferential statistics;
simulations; probability (experimental, geometrical, and
theoretical); permutations and combinations; problem
solving using skills from statistics and probability;
applications requiring calculators and computers. Credit
offered only to M.Ed. and M.A.T., certificate-only
students, and in-service teachers. Prereq: 721 or
permission. Offered in alternate years in the fall semester
following MATH 722.
MATH 737 - Statistical Methods for Quality Improvement
Credits:
4.00
Introduction to scientific data collection and analysis
with an emphasis on industrial applications. Topics
include statistical process control (SPC), engineering
process control, failure modes and effects analysis (FMEA),
Six-Sigma concepts and methods, and confidence intervals
and hypothesis testing. Use of a statistical software
package is an integral part of the course; graphical data
analyses are emphasized. Prereq: MATH 644, permission.
MATH 739 - Applied Regression Analysis
Credits:
4.00
Statistical methods for the analysis of relationships
between response and input variables: Simple linear
regression, residual analysis and model selection,
multicollinearity, nonlinear curve fitting, categorical
predictors, introduction to analysis of variance and
covariance. Students will be introduced to programming in
SAS. Prereq: MATH 639 (or 644); or permission. Writing
intensive.
MATH 740 - Design of Experiments I
Credits:
4.00
Emphasizes methods for solving complex problems, both in
the industrial and research environments. Statistical
process control, design of experiments, randomization and
blocking, factorial designs, nested designs, fixed, random,
and mixed effects models, fractional factorial designs, use
of covariates, response surface methods. JMP software will
be used extensively. Prereq: MATH 639 (or 644); or permissio
MATH 741 - Biostatistics and Life Testing
Credits:
4.00
Explores models and data-analytic methods used in medical,
biological, and reliability studies. Event-time data,
censored data, reliability models and methods, Kaplan-Meier
estimator, proportional hazards, Poisson models, loglinear
models. SAS or JMP, and SPlus are used. Prereq: MATH 639
(or 644); or permission. Offered in alternate years.
MATH 742 - Multivariate Statistical Methods
Credits:
4.00
Issues dealing with multivariate response data. Random
vectors and matrices, multivariate normal distribution,
Hotelling's T2, multivariate analysis of variance (MANOVA),
principal components, cluster analysis, factor analysis,
longitudinal data and repeated measures. SAS or SPlus will
be used. Prereq: MATH 639 (or 644); or permission. Offered
in alternate years.
MATH 744 - Design of Experiments II
Credits:
4.00
Experimental design strategies and issues that are often
encountered in practice. Topics include: Complete and
incomplete blocking, partially balanced incomplete blocking
(BIB), confounding, intra and inter block information,
split plotting and strip plotting, repeated measures,
crossover design strategies, Latin squares and rectangles,
Youden squares, crossed and nested treatment structures,
variance components, mixed effects models, analysis of
covariance, optimizations, missing responses. Prereq: MATH
740 or permission.
MATH 745 - Foundations of Applied Mathematics
Credits:
4.00
Basic concepts and techniques of applied mathematics
intended for graduate students and advanced undergraduates
in mathematics, engineering, and the sciences. Topics
include computational linear algebra, nonlinear
differential equations, and partial differential equations.
Methods examined include Fourier expansions and transforms,
Laplace transforms, optimization techniques, linear spaces,
eigenvalue analysis, Sturm-Liouville systems, numerical
methods, conformal mapping, and residue theory. Prereq:
MATH 527; 528 or equivalent.
MATH 746 - Foundations of Applied Mathematics
Credits:
4.00
See description for MATH 745.
MATH 747 - Introduction to Nonlinear Dynamics and Chaos
Credits:
4.00
The mathematics of chaos and nonlinear dynamics. Topics
include linear and nonlinear systems of ordinary
differential equations, discrete maps, chaos, phase plane
analysis, bifurcations and computer simulations. Prereq:
MATH 527; 528; 645.
MATH 753 - Introduction to Numerical Methods I
Credits:
4.00
Introduces mathematical algorithms and methods of
approximation. Topics include a wide survey of
approximation methods. Methods examined include polynomial
interpolation, root finding, numerical linear algebra,
numerical integration, and the approximation of
differential equations. Included in each case is a study of
the accuracy and stability of a given technique, as well as
its efficiency. Prereq: MATH 426; CS 410.
MATH 754 - Introduction to Numerical Methods II
Credits:
4.00
Introduces the tools and methodology of scientific
computing through the examination of interdisciplinary
case studies from science and engineering. Emphasizes
numerical approaches to solving linear systems,
eigenvalue-eigenvector Problems and ordinary and partial
differential equations problems are solved on various
hardware platforms using a combination of application
software and data visualization packages. Prereq: CS 410 or
415; MATH 527, 645, 753; or permission.
MATH 755 - Probability and Stochastic Processes with Applications
Credits:
4.00
Introduces the theory, methods, and applications of
randomness and random processes. Probability concepts,
random variable, expectation, discrete and continuous
distributions, stochastic processes, Markov chains, Poisson
processes, moment-generating functions, convergence of
random variables. Prereq: MATH 528 and 639 (or 644); or
permission.
MATH 756 - Principles of Statistical Inference
Credits:
4.00
Introduction to the basic principles and methods of
statistical estimation and model fitting. One- and
two-sample procedures, consistency and efficiency,
likelihood methods, confidence regions, significance
testing, Bayesian inference, nonparametric and resampling
methods, decision theory. Prereq: MATH 755; or 528, 639 (or
644), and permission.
MATH 761 - Abstract Algebra
Credits:
4.00
Basic properties of groups, rings, fields, and their
homomorphisms. Prereq: MATH 531 or 545. Writing intensive.
MATH 762 - Linear Algebra
Credits:
4.00
Vector spaces over arbitrary fields, linear
transformations and their relationship with matrices,
eigenvalues and eigenvectors, the rational and Jordan
canonical forms for linear transformations. Prereq: MATH 761
MATH #764 - Advanced Algebra
Credits:
4.00
Topics selected from rings, modules, algebraic fields, and
group theory. Prereq: MATH 761. Offered in alternate years.
MATH 767 - One-Dimensional Real Analysis
Credits:
4.00
Theory of limits, continuity, differentiability, and
integrability. Prereq: MATH 531, or 545. Writing intensive.
MATH 776 - Logic
Credits:
4.00
Examination of the basic notions of soundness and
completeness, first for sentential and then for
propositional logic. Turning to the question of decision
procedures for logical formulae, the concept of recursive
function, which emerges in the work of Church and Turning,
provides the essential link between logic and theory of
computation. The course culminates with Godel's
Incompleteness Theorems, which demonstrate the intrinsic
limitations of the logical method. Prereq: MATH 531.
Offered in alternate years.
MATH 780 - Teaching MIddle School Mathematics
Credits:
4.00
Teaching and learning of middle school mathematics.
Students examine the major mathematical concepts presented
in the middle school curriculum and learn techniques for
planning, designing, and evaluating procedures for helping
students to learn these concepts. Prereq: MATH 426, 700,
and EDUC 500 or equivalents, or by permission. Offered in
alternate years in the spring semester.
MATH #783 - Set Theory
Credits:
4.00
Axiomatic set theory, including its history. Cantor's
theory of infinite cardinal and ordinal numbers seemed
laden with contradictions and paradoxes. A satisfactory
treatment of these difficulties came with the axiomatic set
theory of Zermelo and Fraenkel. This course develops the
Zermelo-Fraenkel axioms and examines cardinal and ordinal
arithmetic in the context they provide. The course then
investigates the consequences of various additional axioms
extending Zermelo-Fraenkel, such as the Axiom of Choice,
the Continuum Hypothesis, large cardinal axioms of
determinacy. Prereq: MATH 531. Offered in alternate years.
MATH 784 - Topology
Credits:
4.00
Open sets, closure, base, and continuous functions;
connectedness, compactness, separation axioms, and
metrizability. Prereq: MATH 531. Writing intensive.
MATH 788 - Complex Analysis
Credits:
4.00
Complex functions, sequences, limits, differentiation and
Cauchy-Riemann equations, elementary functions, Cauchy's
theorem and formula, Taylor's and Laurent's series,
residues, conformal mapping. Prereq: MATH 767. Not offered
for credit if credit is received for MATH 647.
MATH 791 - Teaching of Mathematics, 7-12
Credits:
4.00
Methods for teaching middle and secondary school
mathematics; survey of instructional materials; uses of
models, calculators, and computers; integrating reading,
writing, and problem solving into mathematics curricula;
methods of assessment; theories of learning mathematics;
review and evaluation of curriculum materials, software and
instructional resources; and introduction to professional
organizations and publications. Prereq: EDUC 500 or
equivalent; MATH 426;/or permission. Offered in alternate
years in the spring semester.
MATH 796 - Topics
Credits:
4.00
New or specialized courses not covered in regular course
offerings. Prereq: permission. May be repeated up to 8
credits.
MATH 799 - Senior Thesis
Credits:
2.00 or 4.00
Students work under the direction of a faculty sponsor to
plan and carry out independent research resulting in a
written thesis. Required for honors-in-major. Prereq:
senior standing; a written proposal endorsed by a faculty
sponsor and approved by the department chairperson (or
designee). May be repeated up to 4 credits. Writing intensiv