Students must pass the Q-course Readiness Test or Mathematics 101 before
taking any "Q" courses.
| 101. Basic Algebra
with Applications
Either semester. Three credits. This course does not meet distribution
requirements or count toward the minimum credit requirement for graduation.
Not open to students who have passed any Q-course.
Polynomials, exponents, Cartesian coordinate system, linear and quadratic
equations, inequalities. This course is required of all students who fail
the Q-course readiness exam. |
| 102Q. Problem Solving
Either semester. Three credits. Not eligible for course credit by examination.
Not open for credit to students who have passed any mathematics course
other than MATH 101,
103,
105, 107, 108 or 109. Vinsonhaler
An introduction to the techniques used by mathematicians to solve problems.
Skills such as Externalization (pictures and charts), Visualization (associated
mental images), Simplification, Trial and Error, and Lateral Thinking learned
through the study of mathematical problems. Problems drawn from combinatorics,
probability, optimization, cryptology, graph theory, and fractals. Students
will be encouraged to work cooperatively and to think independently. |
| 103Q. Elementary
Discrete Mathematics
Either semester. Three credits. Not open for credit to students who
have passed any MATH course other than MATH 101, 102, 105, 107, 108 or
109
Problem solving strategies, solutions of simultaneous linear equations,
sequences, counting and probability, graph theory, deductive reasoning,
the axiomatic method and finite geometries, number systems. |
| 105Q.
Mathematics for Business and Economics
Either semester. Three credits.
Linear equations and inequalities, exponents and logarithms, matrices
and determinants, linear programming. Applications. |
| 106Q. Calculus
for Business and Economics
Either semester. Three credits. (One credit for students who have passed
MATH
113, 115, or 120.) Recommended preparation:
MATH 105. Not open for credit
to students who have passed MATH 118.
Derivatives and integrals of algebraic, exponential and logarithmic
functions. Functions of several variables. Applications. |
| 108V.
Mathematical Modeling in the Environment
Either semester. Three credits. A solid background and good performance
in high school algebra are highly recommended.
An interdisciplinary approach to environmental issues, such as: ground
water contamination, air pollution, and hazardous materials handling. Emphasis
on mathematical models, social and ethical implications, and physical and
chemical principles. Includes a spread sheet program for water and air
pollution data; a computer modeling package to analyze
hazardous materials emergencies; creative use of the internet and field
research. |
| 109Q. Algebra and Trigonometry
Either semester. Three credits. Not open for credit to students who
have passed MATH 107, 112,
115, or 120.
A review of algebra, simultaneous and quadratic equations, logarithms,
the trigonometric functions, solution of triangles, trigonometric equations. |
| 112Q. Introductory Calculus
1
Either semester. Four credits. Four class periods. Students cannot receive
credit for MATH 112 and either MATH 115 or MATH 120. Students who have
not passed the Calculus Readiness Test take this course rather than MATH
115 or MATH 120.
Limits, derivatives, and extreme values of algebraic functions, with
supporting algebraic topics. |
| 113Q. Introductory Calculus
2
Either semester. Four credits. Four class periods. Prerequisite: MATH
112. Students cannot receive credit for MATH 113 and either MATH 115 or
MATH 120. May be used in place of MATH 107, 115, or 120 to fulfill any
requirement satisfied by MATH 107, 115 or 120.
Limits, derivatives, and extreme values of trigonometric functions,
with supporting trigonometric topics; anti-derivatives of algebraic and
trigonometric functions; the definite integral and applications. |
| 114Q. Introductory Calculus
3
Either semester. Four credits. Four class periods. Prerequisite: MATH
113. Note: MATH 115 is not adequate preparation for MATH 114. Not open
for credit to students who have passed
MATH 116 or 121. May be used in
place of MATH 116 or 121 to fulfill any requirement satisfied by MATH 116
or 121.
The transcendental functions, formal integration, polar coordinates,
infinite sequences and series, lines and planes in three dimensions, vector
algebra. |
| 115Q or V. Calculus I
Either semester. Four credits. Four class periods. Prerequisite: Passing
score on the Calculus Readiness Test, or the former MATH 107. Students
cannot receive credit for MATH 115 and either MATH 112, MATH 113, or MATH
120. Suitable for students with some prior calculus experience. May be
used in place of MATH 112 or 120 to fulfill any requirement satisfied by
MATH 112 or 120.
Limits, continuity, differentiation, antidiffer-entiation, definite
integrals, with applications to the physical and engineering sciences.
Sections with V credit integrate computer-laboratory activity. |
| 116Q or V. Calculus II
Either semester. Four credits. Four class periods. Prerequisite: MATH
115 or 120, or advanced placement credit for calculus (a score of 4 or
5 on the Calculus AB exam or a score of 3 on the Calculus BC exam). Not
open to students who have passed MATH 121. Substitutes for MATH 114 or
121 as a requirement.
Transcendental functions, formal integration, polar coordinates, infinite
sequences and series, vector algebra and geometry, with applications to
the physical sciences and engineering. Sections with V credit integrate
computer-laboratory activity. |
| 118Q.
A Survey of Calculus with Applications I
Either semester. Three credits. Not open for credit to students who
have passed MATH 106,
113,
115, or 120.
Derivatives and integrals of elementary functions including the exponential
and logarithm functions; applications include optimization, marginal functions,
exponential growth and decay, compound interest. |
| 120Q. Enhanced Calculus
I
Either semester. Four credits. Four class periods. Prerequisite: Passing
score on the Calculus Readiness Test, or the former MATH 107. Students
cannot receive credit for MATH 120 and either MATH 113 or 115. May be used
in place of MATH 113 or 115 to fulfill any requirement satisfied by MATH
113 or 115. Intended to provide superior preparation for prospective mathematics,
science and engineering majors. Recommended for those who have taken a
semester of calculus in high school.
The subject matter of MATH 115 in greater depth, with emphasis on the
underlying mathematical concepts. |
| 121Q. Enhanced Calculus
II
Either semester. Four credits. Four class periods. Prerequisite: MATH
120 or advanced placement credit for calculus (a score of 4 or 5 on the
calculus AB examination or a score of 3 on the Calculus BC examination)
or consent of instructor. Not open for credit to students who have passed
MATH
114 or 116. May be used in place of MATH 114 or 116 to fulfill any requirement
satisfied by MATH 114 or 116. Intended to provide superior preparation
for prospective mathematics, science and engineering majors. Recommended
for those who have taken a semester of calculus in high school.
The subject matter of MATH 116 in greater depth, with emphasis on the
underlying mathematical concepts. |
| 193. Foreign Study
Either or both semesters. Credits and hours by arrangement. May be repeated
for credit (to a maximum of 15 for MATH 193 and 293 together). Consent
of the Department Head or Undergraduate Coordinator required, normally
before the student's departure. |
| 204Q.
Introduction to Mathematical Modeling
Either semester. Three credits. Prerequisite: MATH 221; or MATH 211
and 227. Knowledge of a programming language is strongly recommended. Not
open for credit to students who have passed MATH 304 or 305, CHEM 305,
or PHYS 305.
Construction of mathematical models in the social, physical, life and
management sciences. Linear programming, simplex algorithm, duality. Graphical
and probabilistic modeling. Stochastic processes, Markov chains and matrices.
Basic differential equations and modeling. |
| 210Q. Multivariable Calculus
Either semester. Four credits. Four class periods. Prerequisite: MATH
114, 116, or 121 or a score of 4 or 5 on the Advanced Placement Calculus
BC exam. Not open for credit to students who have passed MATH 220. Open
to sophomores.
Two- and three-dimensional vector algebra, calculus of functions of
several variables, vector differential calculus, line and surface integrals. |
| 211Q. Elementary
Differential Equations
Either semester. Three credits. Prerequisite: MATH 114, 116, or 121.
Not open for credit to students who have passed MATH 221. Open to sophomores.
Introduction to ordinary differential equations and their applications,
linear differential equations, systems of first order linear equations,
numerical methods. |
| 213Q. Transition
to Advanced Mathematics
Either semester. Three credits. Prerequisite: MATH 210 or 220 or consent
of instructor. Open to sophomores. Not open for credit to students who
have passed MATH 214 or CSE 254. Students intending to major in mathematics
should ordinarily take this course or MATH 214 during the third or fourth
semester.
Basic concepts, principles, and techniques of mathematical proof common
to higher mathematics. Logic, set theory, counting principles, mathematical
induction, relations, functions. Concepts from abstract algebra and analysis. |
| 214Q. Introduction
to Discrete Systems
Either semester. Three credits. Prerequisite: CSE 111 or 130 or consent
of the instructor. Open to sophomores. Not open for credit to students
who have passed MATH 213 or CSE 254. Students who intend to major in mathematics
should ordinarily take this course or MATH 213 during the third or fourth
semester.
Mathematical methods for characterizing and analyzing discrete systems.
Modern algebraic concepts, logic, set theory, grammars and formal languages,
and graph theory. Applications to the analysis of computer systems and
computational structures. |
| 215Q. Linear Algebra
Either semester. Three credits. (Two credits for students who have passed
MATH
227.) Required preparation:
MATH 213 or 214.
Linear algebra and its applications; systems of equations, matrices,
linear transformations, vector spaces, determinants, canonical forms, applications. |
| 216Q. Abstract Algebra I
Either semester. Three credits. Prerequisite: MATH 213 or 214. Recommended
preparation: MATH 215 or 227.
The fundamental topics of modern algebra including elementary number
theory, groups, rings, polynomials and fields. |
| 217Q. Abstract Algebra II
Either semester. Three credits. Prerequisite: MATH 216.
Topic chosen from modules, linear algebra, geometric algebra, extension
fields, algebraic coding, algebraic combinatorics. |
| 220Q. Enhanced
Multivariable Calculus
Either semester. Four credits. Prerequisite: MATH 114 or 116 or 121.
Open to sophomores. Not open to students who have passed MATH 210. MATH
220 satisfies any requirement met by MATH 210, and provides superior preparation
for prospective mathematics, science, and engineering majors.
The subject matter of MATH 210 in greater depth, with emphasis on the
underlying mathematical concepts. |
| 221Q. Enhanced
Differential Equations
Either semester. Three credits. Prerequisite: MATH 114 or 116 or 121.
Open to sophomores. Not open to students who have passed MATH 211. MATH
221 satisfies any requirement met by MATH 211, and provides superior preparation
for prospective mathematics, science, and engineering majors.
The subject matter of MATH 211 in greater depth, with emphasis on the
underlying mathematical concepts. |
| 223Q. Geometry
Either semester. Three credits. Prerequisite: MATH 113 or 115 or 120.
MATH
113 may be taken concurrently. Open to sophomores.
Deductive reasoning and the axiomatic method, Euclidean geometry, parallelism,
hyperbolic and other non-Euclidean geometries, geometric transformations. |
| 224Q. Projective Geometry
Either semester. Three credits. Prerequisite: MATH 213Q.
Finite and infinite geometries as logical systems based on axioms. Synthetic
and analytic projective geometry. |
| 227Q. Applied Linear
Algebra
Either semester. Three credits. Prerequisite: MATH 114, 116, or 121.
Not open for credit to students who have passed MATH 215. Open to sophomores.
Systems of equations, matrices, determinants, linear transformations
on vector spaces, characteristic values and vectors, from a computational
point of view. The course is an introduction to the techniques of linear
algebra with elementary applications. |
| 231Q. Probability
Either semester. Three credits. Prerequisite: MATH 210 or 220, which
may be taken concurrently with the consent of the instructor.
Introduction to the theory of probability. Discussion of some of the
probability problems encountered in scientific and business fields. |
| 232Q. Elementary
Stochastic Processes
(Also offered as STAT 235Q.) Either semester. Three credits. Prerequisite:
STAT
220 or 224 or 230 or MATH 231. Not open for credit to students who have
passed STAT 235Q.
Conditional distributions, discrete and continuous time Markov chains,
limit theorems for Markov chains, random walks, Poisson processes, compound
and marked Poisson processes, and Brownian motion. Selected applications
from actuarial science, biology, engineering, or finance. |
| 235Q. Introduction
to Mathematical Logic
Either semester, alternate years. Three credits. Prerequisite: MATH
213 or 214 or
CSE 207. PHIL 211 is recommended.
Formalization of mathematical theories, elementary model theory with
applications to algebra, number theory, and non-standard analysis. Additional
topics: Elementary recursion theory and axiomatic set theory. Emphasis
on the applications of logic to mathematics rather than the philosophical
foundations of logic. |
| 237Q. Theory of Computability
Either semester, alternate years. Three credits. Prerequisite: MATH
213 or 214 or
CSE 254.
Finite automata and regular languages, pushdown automata and context-free
languages and grammars. Turing machines, recursively enumerable sets and
grammars, Church's thesis, the halting problem, and other undecidable problems.
Computational complexity and NP-completeness. |
| 242W. History of Mathematics
Either semester, alternate years. Three credits. Prerequisite: MATH
210 and 211, or 221. This course may not be counted in any of the major
groups described in the Mathematics Departmental listing.
A historical study of the growth of the various fields of mathematics. |
| 247Q-248Q.
Fundamentals of Algebra and Geometry
Either semester. Three credits each semester. Prerequisite: PSYC 132
and three credits of Mathematics other than MATH 101. Not open for credit
to students who have passed MATH 210 or 211 or
220. This course may not
be counted in any of the major groups described in the Mathematics Departmental
listing.
The development of the number system with applications to elementary
number theory and analytic geometry. This course is recommended for students
in elementary education. |
| 250Q. Elements of Topology
Either semester, alternate years. Three credits. Prerequisite: MATH
213 or 214.
Metric spaces, topological spaces and functions, topological properties,
surfaces, elementary topics in geometric topology. |
| 252Q. Introduction
to Complex Variables
(Also offered as Mathematics 352.) Either semester. Three credits. Prerequisite:
MATH
210 and 211, or 221. MATH 252Q not open for credit to students who have
passed MATH 352.
Functions of a complex variable, integration in the complex plane, conformal
mappings. |
| 255Q. Principles
of Computer Graphics
Either semester. Three credits. Prerequisite: CSE 111 or 130,
MATH 227
or 215,
MATH 210, and consent of instructor. Not open for credit to students
who have passed CSE 275.
Representation of two- and three-dimensional data, internal representation
of data structures, transformations, mapping of functions to graphics screen,
graphics hardware. Programming projects assigned. |
| 258Q. Introduction
to Number Theory
Either semester, alternate years. Three credits. Prerequisite: MATH
213 or 214.
Congruences, unique factorization, primitive roots, numerical functions,
quadratic reciprocity and other selected topics, with emphasis on problem
solving. |
| 272Q.
Differential Equations for Applications
Either semester. Three credits. Prerequisite: MATH 210 and 211, or 221.
Not open for credit to students who have passed MATH 279.
Series solutions of differential equations, Bessel functions, Fourier
series, partial differential equations and boundary value problems, nonlinear
differential equations. |
| 273Q-274Q. Analysis
Either semester. Three credits each semester. Prerequisite: MATH 213
or 214, and
211 or 221.
Introduction to the theory of functions of one and several real variables. |
| 277Q. Applied Analysis
(Also offered as Mathematics 377.) Either semester. Three credits. Prerequisite:
MATH
272. Offered in alternate years. MATH 277Q not open for credit to students
who have passed MATH 377.
Convergence of Fourier Series, Legendre and Hermite polynomials, existence
and uniqueness theorems, two point boundary value problems, and Green's
functions. |
| 278Q. Partial
Differential Equations
(Also offered as Mathematics 378.) Either semester, alternate years.
Three credits. Prerequisite: MATH 272 or its equivalent. MATH 278Q not
open for credit to students who have passed MATH 378.
Solution of first and second order partial differential equations with
applications to engineering and the sciences. |
| 279Q. Introduction
to Field Theory
Either semester. Three credits. Prerequisite: MATH 210 and 211. Not
open for credit to students who have passed MATH 272.
Vector analysis in rectangular, circular-cylindrical and spherical coordinates,
postulational derivation of the partial differential equations of classical
physics, Fourier series, Bessel and Legendre functions, solutions of Laplace,
Poisson, diffusion and scalar and vector wave equations. |
| 281Q. Numerical Analysis
I
Either semester. Three credits. Prerequisite: MATH 210Q, 211Q, and either
215Q or 227Q; and knowledge of at least one programming language.
Analysis of numerical methods associated with linear systems, eigenvalues,
inverses of matrices, zeros of non-linear functions and polynomials. Roundoff
error and computational speed. |
| 282Q. Numerical Analysis
II
Either semester. Three credits. Prerequisite: MATH 281.
Approximate integration, difference equations, solution of ordinary
and partial differential equations. |
| 283Q. Calculus
and Probability Problems
Either semester. One or two credits. Hours by arrangement. Prerequisite:
MATH
210 and 231.
Problems in calculus and probability designed to help students prepare
for the first actuarial examination. |
| 285Q. Financial Mathematics
I
(Also offered as MATH 365.) Either semester. Three credits. Prerequisite:
MATH 111, 114, 116, or 121.
The mathematics of measurement of interest, accumulation and discount,
present value, annuities, loans, bonds, and other securities. |
| 286Q. Introduction
to Operations Research
(Also offered as STAT 286Q and STAT 356.) Either semester. Three credits.
Prerequisite: MATH 231 or STAT 220 or 230. Not open for credit to students
who have passed STAT 286 or 356.
Introduction to the use of mathematical and statistical techniques to
solve a wide variety of organizational problems. Topics include linear
programming, network analysis, queueing theory, decision analysis. |
| 287Q-288Q. Actuarial
Mathematics
(Also offered as MATH 387-388.) Either semester. Three credits each
semester. Prerequisite: MATH 231 or STAT 230; and MATH 285, which may be
taken concurrently.
Survival distributions, claim frequency and severity distributions,
life tables, life insurance, life annuities, net premiums, net premium
reserves, multiple life functions, and multiple decrement models. |
| 289. Financial Mathematics
II
Either semester. Three credits. Prerequisite: MATH 285. Also ACCT 131,
which may be taken concurrently.
The continuation of MATH 285Q. Measurement of financial risk, the mathematics
of capital budgeting, mathematical analysis of financial decisions and
capital structure, and option pricing theory. |
| 290. Field Study Internship
Students taking this course will be assigned a
final grade of S (satisfactory) or U (unsatisfactory).
Either or both semesters. One to three credits. May be repeated for
credit (to a maximum of 6 credits). Consent of the Department Head, Director
of the Actuarial Program, or the Undergraduate Coordinator required. Prerequisite:
Completion of lower division requisite courses in the major. |
| 292W. Senior Thesis
in Mathematics
Either semester. Three credits. Open only by consent of Department Head
or Departmental Honors Committee.
The student should define a general subject area for the thesis before
choosing a thesis advisor and seeking consent at the time of registration.
The student should submit a written proposal for the senior thesis to the
advisor by the end of the semester preceding enrollment for thesis credit. |
| 293. Foreign Study
Either or both semesters. Credit and hours by arrangement. May be repeated
for credit (to a maximum of 15 for MATH 193 and 293 together). Consent
of the Department Head or Undergraduate Coordinator required, normally
before the student's departure. May count toward the major with consent
of the Advisor and either the Department Head or Undergraduate Coordinator. |
| 295. Variable Topics
Either semester. Three credits. With a change in topic, may be repeated
for credit. Prerequisites and recommended preparation vary. |
| 296. Problem Seminar
Either semester. One credit. One class period. Prerequisite: MATH 114,
116, or 121. Open to sophomores. This course, with a change of topic, may
be repeated for credit.
Problem sequences selected from algebra, geometry, calculus, combinatorics,
and other branches of mathematics, designed to introduce mathematical concepts
and to give experience in problem solving. |
| 297. Undergraduate Seminar
Either semester. Three credits. Open only with consent of instructor.
This course, with a change of topic, may be repeated for credit. |
| 298. Special Topics
Either semester. Credits and hours by arrangement. With a change in
content, may be repeated for credit. Prerequisites and recommended preparation
vary. |
| 299. Independent Study
Either semester. Credits and hours by arrangement. Open only with consent
of instructor. This course, with a change of topic, may be repeated for
credit. |