010 Developmental Mathematics
3 crs (3-0). F, Sp.
P: For students with minimal high school mathematics or
appropriate score on the mathematics placement test
Not for GE
Not a degree credit course
Audit enrollment not allowed
No credit if taken after any higher-numbered mathematics
course. This course is graded on a letter grade basis. The
grade received is used in calculating semester, resident,
and total GPAs. See Note 1.
Develops basic arithmetic and introductory algebraic skills.
These skills are a prerequisite to a further study of
algebra.
|
020 Intermediate Algebra
4 crs (4-0). F, Sp, Su.
P: MATH 010 or one year of college-preparatory algebra
and an appropriate score on the mathematics placement
test
Not for GE
Not a degree credit course
Audit enrollment not allowed
This course is graded on a letter grade basis. The grade
received is used in calculating semester, resident, and
total GPAs. See Note 1.
The real number system, linear equations and inequalities,
operations on polynomials and rational expressions,
factoring, solutions of quadratic equations, Cartesian
coordinates, functions, and related applications.
|
101 Mathematical Ideas
3 crs (3-0).
GE-IB
No credit if taken after credit earned in higher numbered
MATH course
Not designed to prepare students for MATH 110 or 112. May
not be counted for credit toward a major or minor in
mathematics. A grade of a least C (not C-) or a mark of S
demonstrates mathematics competency for those programs
allowing this course to meet the University mathematics
statistics competency requirement.
Fundamental processes in reasoning are applied in an
elementary approach to some of the most important ideas in
mathematics.
|
104 Finite Mathematics with Applications
4 crs (4-0). F, Sp.
(Formerly MATH140 )
P: Math 020, or two years of college-preparatory algebra
and a suitable mathematics placement test score
GE-IB
No credit if taken after MATH 114, MATH 212, MATH 314, or
MATH 346
May not be counted toward a major in mathematics. Counts
only toward the elementary teaching minor in mathematics. A
grade of at least C (not C-) or a mark of S demonstrates
mathematics competency for the Bachelor of Arts degree in
the College of Arts and Sciences.
This course will cover applications from Economics, Social
and Biological Sciences. The topics include sets, functions,
counting principles, probability, solution of linear systems
by graphical and algebraic methods, matrices, linear
programming, problem formulation and solving with graphs and
trees.
|
110 College Algebra
4 crs (4-0). F, Sp, Su.
P: MATH 020, or two years of college-preparatory algebra
and a suitable mathematics placement test score
GE-IB
May not be counted for credit toward a major or minor in
mathematics. See Note 1. A grade of at least a C (not C-) or
a mark of S demonstrates mathematics competency for the
Bachelor of Arts degree in the College of Arts and Sciences.
Algebraic concepts, techniques, and applications including
polynomial and rational expressions, linear and quadratic
equations, complex numbers, inequalities, absolute value,
functions and graphs, exponential and logarithmic functions,
systems of equations and inequalities, and zeros of
polynomials.
|
111 A Short Course in Calculus
4 crs (4-0). F, Sp, Su.
P: MATH 110, or three years of above-average work in
college-prep MATH and a suitable mathematics placement
score
GE-IB
No credit if taken after or concurrently with MATH 114
May not be counted for credit toward a major or minor in
mathematics. See Note 1. A grade of at least a C (not C-) or
a mark of S demonstrates mathematics competency for the
Bachelor of Science degree in the College of Arts and
Sciences.
Primarily for students in biology, business, economics,
psychology, and sociology. Functions, limits, continuity,
derivatives, integrals, and applications.
|
112 Precalculus Mathematics
4 crs (4-0). F, Sp, Su.
P: MATH 110, or three years of above-average work in
college-prep MATH and a suitable mathematics placement
test score
GE-IB
May not be counted for credit toward a major or minor in
mathematics. See Note 1. A grade of at least a C (not C-) or
a mark of S demonstrates mathematics competency for the
Bachelor of Science degree in the College of Arts and
Sciences. Does not count for GE-IB if you are seeking a B.S.
degree in the College of Arts and Sciences.
Prepares students to enter the Math 114, 215, 216 sequence.
Includes absolute value, logarithmic, exponential, and
trigonometric functions; inequalities; conic sections;
complex numbers; and topics from theory of equations.
|
114 Calculus I
4 crs (3-2). F, Sp, Su.
P: MATH 112, or four years of above-average work in
college-prep mathematics, including one semester of
trigonometry and a suitable mathematics placement test
score
GE-IB
See Note 1.
Limits, theory and application of the derivative,
introduction to integration.
|
184 Honors Calculus I
1 cr (1-0).
P: B+ or better in MATH 114
Not for GE
Must be taken with MATH215
Enrichment topics associated with Math 114 and 215 selected
from functions, analytic geometry, limits, derivatives,
integrals, and sequences and series.
|
203 Mathematics for Elementary/Middle School Teachers I
3 crs (3-0). F, Sp.
P: Two years of college preparatory algebra and a
suitable mathematics placement test score
GE-IB
Limited to elementary or special education majors
May not be counted for credit toward a major or minor in
mathematics.
An integrated study of mathematics content, methods, and
curricula. Topics include problem solving, reasoning, whole
numbers and numeration with an emphasis on cognitively
guided instruction, elementary number theory, integers.
|
204 Mathematics for Elementary/Middle School Teachers II
3 crs (3-0). F, Sp.
P: MATH 203
GE-IB
Limited to elementary or special education majors
Counts only toward the elementary teaching minor in
mathematics.
An integrated study of mathematics content, methods, and
curricula. Topics include number theory, the rational
numbers, ratio and proportion, the real number system and
probability. Emphasis on communication and algebraic
thinking. Practicum experience included.
|
212 Calculus and Business Mathematics
3 crs (3-0). Sp.
P: MATH 111 OR 114
GE-IB
May not be counted toward a major in mathematics.
Multivariate calculus, matrix algebra, linear programming,
mathematics of finance, and business-oriented applications.
|
215 Calculus II
4 crs (3-2). F, Sp, Su.
P: MATH 114
GE-IB
Applications and techniques of integration; improper
integrals; sequences and series; power series and Taylor's
formula.
|
216 Calculus and Analytic Geometry III
4 crs (4-0). F, Sp.
P: MATH 215
Not for GE
Plane analytic geometry, polar coordinates, vectors and
vector-valued functions, differentiation of functions of
several variables, multiple integrals, and line integrals.
|
245 Introduction to Statistics
3 crs (3-0). F, Sp, Su.
P: One year of high school algebra
GE-IB
No credit if taken after MATH 345, MATH 347, or PSYC 265
Basic statistical analysis, including descriptive
statistics, probability, confidence intervals, hypothesis
testing, simple linear regression, and correlation.
|
250 Introduction to Numerical Methods
3 crs (3-0). Sp.
P: MATH 114, C S 170
Not for GE
An introduction to the use of mathematical tools and
resources useful in solving computational problems.
Potential topics include data analysis, linear algebra,
optimization, and differential equations.
|
255 Statics
3 crs (3-0). F.
P: PHYS 231 or concurrent registration and MATH 215 or
concurrent registration
Not for GE
Calculators may be required.
Designed primarily for pre-engineering students. Includes
static equilibrium of rigid bodies, centroids, analysis of
structures, friction, and moments of inertia.
|
256 Dynamics
3 crs (3-0). Sp.
P: MATH 215 and 255
Not for GE
Calculators may be required.
A continuation of Math 255. Dynamics of rigid bodies,
moments of inertia, work, energy, impulse, and momentum.
|
285 Honors Calculus II
1 cr (1-0).
P: B+ or better in MATH 215
Not for GE
Must be taken with MATH216
Enrichment topics associated with Math 215 and 216 selected
from integrals, sequences and series, vectors and vector-
valued functions, and multiple variable calculus.
|
291 Special Topics
1-3 crs.
Not for GE
Course may be taken 3 times
Topics will vary, depending on interest of students and
faculty.
|
305 Mathematics for Elementary/Middle School Teachers III
3 crs (3-0). F, Sp.
P: MATH 204 or consent of the mathematics department.
Exceptions to the Math 204 prerequisite may be made
for students who are certifying only in special educ.
GE-IB
Limited to elementary or special education majors
Minimum junior standing
Counts only toward the elementary teaching minor in
mathematics.
An integrated study of mathematics content, methods, and
curricula. Topics include statistics, measurement,
geometries, patterns, and functions. Emphasis on
communication and algebraic thinking. Practicum experience
included.
|
311 /511 Differential Equations
3 crs (3-0). F, Sp.
P: MATH 216
Not for GE
Ordinary differential equations of first and second order,
linear differential equations, Laplace transforms, series
solutions, and systems of linear differential equations.
|
313 /513 Fourier Methods
3 crs (3-0). Sp.
P: MATH 311
Not for GE
An introduction to the principal techniques and applications
of Fourier series, Fourier integrals, and Legendre series.
Applications to problems in vibrations, heat conduction,
electrostatics, and optics.
|
314 /514 Discrete Mathematics
3 crs (3-0). F, Sp.
P: MATH 111 or 114
GE-IB
No credit if taken after CS 240
Introductory course in discrete mathematics. Topics include
elementary combinatorics, graph theory, trees, and Boolean
algebra. The course emphasizes an algorithmic approach to
problem solving.
|
315 /515 Advanced Calculus I
3 crs (3-0). F, Sp.
P: MATH 216 and 324
Not for GE
Differential and integral calculus of several variables;
vector calculus; line, surface, and space integrals
including Green's theorem, Divergence theorem, and Stokes'
theorem.
|
316 /516 Introduction to Real Analysis
3 crs (3-0). F, Sp.
P: MATH 216 and 324
Not for GE
Real numbers, introductory topological topics, limits,
sequences of numbers, continuity, sequences of functions,
and series.
|
318 /518 Introduction to Complex Variables
3 crs (3-0). Sp.
P: MATH 315
Not for GE
Elementary functions of a complex variable, complex
integrals, and residue theory.
|
322 Abstract Algebra for Elem Teachers
3 crs (3-0). Sp.
P: 11 cr MATH to include MATH 111 or 114; MATH 204
Not for GE
Limited to elementary education majors
Includes sets, mathematical induction, functions, and
abstract algebraic structures such as groups, rings, and
fields.
|
324 /524 Linear Algebra and Matrix Theory
3 crs (3-0). F, Sp.
P: MATH 215
Not for GE
An introductory course in linear algebra including matrix
algebra, systems of linear equations, vector spaces, linear
transformations, and eigenvalues.
|
330 /530 Modern Geometry
3 crs (2.5-0.5). F, Sp.
P: MATH 114 & basic knowledge of Euclidean Geometry
Not for GE
Contemporary and classical Euclidean geometry, with emphasis
on constructions, transformations, and proof. The Mira and
geometry software will be used to illustrate these topics.
Some non-Euclidean geometry included.
|
333 Geometry for Elementary Teachers
3 crs (3-0).
P: 12 credits of MATH including MATH 305
Not for GE
Limited to elementary or special education majors
No credit if taken after or concurrently with MATH 330
Constructions, congruence, similarity, measures,
transformations, coordinate geometry, related proofs, and
non-Euclidean geometry.
|
335 /535 Introduction to Point-Set Topology
3 crs (3-0). F, even-numbered years.
P: MATH 216
Not for GE
Theory of sets, continuity of functions, neighborhoods of
points, topological and metric spaces, connectedness and
compactness.
|
338 Introduction to Differential Geometry
3 crs (2.5-0.5). Sp, odd-numbered years.
P: MATH 216
Not for GE
An introduction to the study of curves and surfaces. Topics
on curves include curvature, torsion, and the Frenet frames.
Topics on surfaces include curvature, minimal surfaces, and
Gauss' Remarkable Theorem.
|
341 Classical Number Theory
3 crs (3-0). Sp, odd-numbered years.
P: MATH 114
Not for GE
Classical number theory including divisibility, primes and
their properties, theory of congruences, Diophantine
equations, number theoretic functions, primitive roots, and
selected optional topics.
|
342 Mathematical Logic and Proof
3 crs (3-0). Sp.
P: MATH 215
Not for GE
Introductory logic statements, inference, quantification,
and methods of proof with applications in sets, number
theory, relations, and algebra.
|
345 /545 Introduction to Probability and Mathematical
Statistics
4 crs (4-0). Sp.
P: MATH 215 or concurrent registration
Not for GE
Credit cannot be earned in both MATH 345/545 & MATH 346/546
MATH 245 may not be taken for credit after or concurrently
with MATH 345/545.
Counting techniques, discrete and continuous random
variables, probability distributions, sampling
distributions, estimation, hypothesis testing, linear
regression, correlation, nonparametric statistics. Students
who desire more extensive probability and statistics should
take Math 346/546, 347/547.
|
346 /546 Introduction to Probability
3 crs (3-0). F.
P: MATH 215
Not for GE
Credit cannot be earned in both MATH 345/545 & MATH 346/546
Probability in discrete and continuous sample spaces,
conditional probability, counting techniques, probability
functions, moment generating functions, and the binomial,
Poisson, and normal distributions.
|
347 /547 Mathematical Statistics
4 crs (3-2). Sp.
P: MATH 215; MATH 346/546
Not for GE
MATH 245 may not be taken for credit after or concurrently
with MATH 347/547.
Transformations of variables; normal, chi-square, t, and F
distributions; estimation; hypothesis testing; regression;
correlation; nonparametric statistics; and analysis of
variance.
|
350 Theory of Interest
3 crs (3-0). Sp.
P: MATH 215 or consent of instructor
Not for GE
Mathematical theory of simple and compound interest and
discount, annuities, yield rates, amortization and sinking
funds, and valuation of securities. This course is meant, in
part, to prepare students for the second actuarial exam.
|
351 /551 Numerical Analysis I
3 crs (3-0). F.
P: MATH 215 and 324 and one of the following: C S 163,
170, 255, or a working knowledge of a high-level
procedural programming language
Not for GE
Nonlinear equations, interpolation and approximation, least
squares, systems of linear equations, and error analysis.
|
352 /552 Numerical Analysis II
3 crs (3-0). Sp.
P: MATH 351/551
Not for GE
Numerical solution of differential equations, numerical
differentiation and integration, and the eigenvalue problem.
|
354 /554 Introduction to Mathematical Modeling
3 crs (3-0). F.
P: MATH 215
Not for GE
Topics include discrete dynamical systems, discrete and
continuous stochastic models including elements of queuing
theory, applications of Markov chains, empirical modeling
using regression theory and interpolation techniques, and
modeling with differential equations.
|
355 /555 Linear Programming
3 crs (3-0). F, odd-numbered years.
P: MATH 212 or MATH 324
Not for GE
Introductory topics in linear programming including
computational development of the simplex method, duality
theory of linear programming, dual simplex method,
transportation problem, and the use of the linear
programming package on the microcomputer.
|
358 /558 Introduction to Optimization
3 crs (3-0). Sp, odd-numbered years.
P: MATH 216 and 324
Not for GE
An introduction to the theory and application of
optimization techniques. Analytic and numerical methods for
linear and nonlinear problems of both constrained and
unconstrained type will be considered.
|
365 Patterns of Problem-Solving
3 crs (3-0). Sp.
P: MATH 110 or equivalent course work
GE-IB
May not be counted for credit toward a major or minor in
mathematics except in elementary education.
Provides tools and concepts needed in problem solving in a
variety of disciplines. Common difficulties, symbolic logic
and language, proper attitude toward information gathering,
use of models and their limitations, decision-making,
optimization models, and selected applications.
|
395 Directed Studies
1-3 crs. F, Sp, Su.
P: 2.0 GPA in mathematics
Not for GE
May be repeated - additional restrictions may apply
Get form from department office
For the student who wishes to pursue independent study of a
topic in mathematics under the supervision of a member of
the mathematics department.
|
399 Independent Study - Juniors
1-3 crs. F, Sp.
Not for GE
Minimum junior standing
May be repeated - additional restrictions may apply
Get form from department office
|
425 /625 Abstract Algebra I
3 crs (3-0). F, Sp.
P: MATH 324/524
Not for GE
No credit if taken after or concurrently with MATH 322
An introduction to the abstract concepts of algebra such as
groups, rings, and fields. Topics such as direct products,
group homomorphisms, factor groups, integral domains, and
polynomial rings will be included.
|
426 /626 Abstract Algebra II
3 crs (3-0). F, Sp.
P: MATH 425/625
Not for GE
No credit if taken after MATH 322
A continuation of Math 425 including more advanced topics
from groups, rings, and fields, such as the Sylow theorems,
prime and maximal ideals, unique factorization domains, and
finite fields.
|
440 Fourier Optics
3 crs (2.5-0.5). F.
P: MATH 311 and PHYS 340
Not for GE
See also PHYS440
Credit may not be earned in both MATH 440 and PHYS 440
Applications of Fourier Analysis to optics. Topics include:
coherency of light, diffraction, wave optical theory of
lenses and imaging, and image processing.
|
441 Linear Regression Analysis
3 crs (3-0). F, even-numbered years.
P: MATH 345 or 347 or MATH 245 with consent of instructor
and MATH 212 or 324.
Not for GE
Simple and multiple regression, transformation of variables,
model checking, analysis of residuals, regression
diagnostics, stepwise regression, index variables,
confidence intervals, and computer software.
|
443 Experimental Design and Analysis
3 crs (3-0). F, odd-numbered years.
P: MATH 345 or 347; or MATH 245 with consent of
instructor
Not for GE
Basic concepts of statistical design of experiments; linear
models; randomized block, Latin square, factorial,
fractional factorial, rotatable, and incomplete block
designs and applications.
|
445 Survey Sampling
2 crs (2-0). Sp, odd-numbered years.
P: MATH 345 or 347; or MATH 245 with consent of
instructor
Not for GE
Survey sampling including random sampling, stratified
sampling, cluster sampling, and design of surveys.
|
447 Nonparametric Statistics
2 crs (2-0). Sp, even-numbered years.
P: MATH 345 or 347; or MATH 245 with consent of
instructor
Not for GE
Hypothesis testing and confidence intervals based on the
binomial distribution, contingency tables, Wilcoxon Test,
Mann-Whitney Test, rank correlation, and Kruskal-Wallis and
Friedman analysis of variance. Comparisons with normal
theory methods.
|
451 /651 Teaching 6-12 Mathematics with Technology
3 crs (3-0). Sp.
P: C I 357 or concurrent enrollment or consent of
instructor
Not for GE
May not be counted toward the required 36 credits in the
major in mathematics or toward the required 24 credits in
the minor in mathematics.
In this course students will investigate teaching
mathematics effectively with technology. Technology used
includes graphing calculators, spreadsheets, interactive
software, and calculator based laboratories. Topics include
functions, statistics, probability, geometry, and
mathematical modeling.
|
456 /656 Operations Research
2-3 crs. Sp, even-numbered years.
P: MATH 215, 324; MATH 345 or 346
Not for GE
Students who have earned credit in an upper division linear
programming course may earn only two credits in this course.
This two-credit option is available only to those who have
taken such a course. For students earning two credits due to
this restriction, attendance will be optional during the
linear programming unit.
An introduction to the theory and application of operations
research techniques. Several important topics including
linear programming, inventory models, waiting time models,
and replacement models will be discussed.
|
462 /662 History of Mathematics
3 crs (3-0).
P: MATH 114
Not for GE
A study of mathematics from an historical point of view
beginning with the work of the early Greek mathematicians
and including selected mathematicians and periods of
mathematical development up to the present.
|
491 /691 Special Topics
1-3 crs.
Not for GE
Course may be taken 3 times
A variable content course designed to allow a breadth of
study through investigation of mathematical topics not
covered in other courses. Special interests of instructors
will be utilized to provide topics.
|
492 Capstone Thesis/Project
1-2 crs. F, Sp, Su.
Not for GE
Capstone experience for majors in this department
Minimum senior standing
An independent study or research project, under the
direction of a Mathematics faculty member, which is
concluded with a significant paper or report.
|
493 Capstone Seminar
1 cr (1-0). F, Sp.
Not for GE
Capstone experience for majors in this department
Course may be taken 3 times
An intensive study of selected topics including written
and/or oral presentations by the students. The topics will
connect ideas from across the mathematics major.
|
494 /694 Mathematics Seminar
1 cr (1-0). F, Sp.
Not for GE
Minimum junior standing
Course may be taken for a maximum of 3 credits
An intensive study of selected topics in mathematics. The
exact topics to be studied will vary according to the
interests of the professor and the seminar participants.
|
497 Honors Seminar
1 cr (1-0). F, Sp.
P: B+ or better in MATH 216
Not for GE
Course may be taken for a maximum of 3 credits
Admission to Department Honors Program
An intensive study of selected topics in mathematics. The
exact topics to be studied will vary according to the
interests of the professor and the seminar participants.
|
498 Mathematics Internship
1-3 crs. F.
P: MATH 216
SL-Optional; Not for GE
Limited to mathematics majors and minors
Audit enrollment not allowed
Minimum junior standing
Course may be taken 2 times
May not count toward the minimal number of credits required
for a mathematics major or minor.
Get form from department office
Provides supervised on-the-job experience in an area of
interest with mathematical content.
|
499 Independent Study - Seniors
1-3 crs. F, Sp.
Not for GE
Minimum senior standing
May be repeated - additional restrictions may apply
Get form from department office
|
704 Mathematics for Middle School Teachers
3 crs (3-0).
Topics include number and number sense, probability,
statistics, reasoning, problem solving, patterns and
functions, geometry, measurement, and algebra.
|
707 Current Issues in Mathematics Teaching
3 crs (3-0).
May be repeated when topic differs
A particular current trend in mathematics education will be
the theme for each offering. Focus will be on mathematical
content necessary to design instruction and develop
curriculum. Nonthematic issues will also be discussed.
|
710 Selected Topics in Calculus
1-3 crs.
P: Minimum 8 cr of Calculus or consent of instructor
An in-depth investigation of elementary calculus from an
advanced viewpoint, including functions, limits, continuity,
integrals, derivatives, and related applications.
|
711 MBA Calculus
3 crs (3-0). F.
P: MATH 110
Must complete MBA foundation requirements
Basic differential and integral calculus with business
applications.
|
719 Introduction to Real Analysis
3 crs (3-0).
P: MATH 215
Selected topics including sets, the real number system,
mappings, sequences, limits, continuity, the derivative, and
the integral.
|
721 Foundations of Algebra
3 crs (3-0).
P: MATH 425/625
Set theory, mappings, the integers, groups, rings, and
vector spaces.
|
731 Vector Methods in Geometry
3 crs (3-0).
Applications of vector methods to Euclidean geometry.
|
732 Advanced Geometry
3 crs (3-0).
P: One course in Calculus
Advanced study of geometry including Euclidean, non-
Euclidean, projective, and affine geometries.
|
742 Logic and Mathematics
3 crs (3-0).
Symbolic logic and its use in mathematics, including proof,
demonstration, and applications in abstract mathematical
systems.
|
748 Applied Statistical Procedures
3 crs (3-0).
Designed for students needing a background in applied
statistics. Includes randomizing techniques, nonparametric
statistical methods, hypothesis testing, correlation,
regression, and analysis of variance.
|
749 Probability and Statistics Workshop
3 crs (3-0).
P: Minor in MATH or consent of instructor
Applications of probability and statistics which can be used
by the secondary school teacher to motivate and enrich
traditional mathematics classes and as topics in upper-level
classes where some course content in probability or
statistics is desired.
|
751 Technology in Mathematics
3 crs (2-1).
P: MATH 216 and basic knowledge of Euclidean geometry
The use of graphing calculators and computer software to
enhance understanding of mathematical concepts and to
formulate statements of theorems and solutions to problems
is explored.
|
755 Linear and Nonlinear Programming
3 crs (3-0).
P: MATH 216; MATH 226 or 324/524
Introductory topics in linear and nonlinear programming
including the simplex method for solving a linear program
and Wolf's method for solving a quadratic program; and
duality theory for linear, quadratic, and nonlinear
programming.
|
765 Number Theory
3 crs (3-0).
Foundations of number theory emphasizing congruences,
selected number theoretic functions, Diophantine equations,
continued fractions, and other classical problems.
|
793 Directed Studies
1-3 crs.
May be repeated - additional restrictions may apply
Permits students to undertake independent studies under the
direction of a graduate faculty member.
|
794 Graduate Mathematics Seminar
1 cr (1-0).
May be repeated - additional restrictions may apply
Consent of instructor
|
795 Research Paper
1-2 crs.
May be repeated - additional restrictions may apply
Consent of instructor
|
797 Independent Study
1-3 crs.
May be repeated - additional restrictions may apply
Get form from department office
|
799 Thesis
1-6 crs.
May be repeated - additional restrictions may apply
Consent of instructor
|
