UT AUSTIN

UNDERGRADUATE CATALOG
1998 - 2000
CONTENTS
CHAPTER 1
The University
CHAPTER 2
School of Architecture
CHAPTER 3
College of Business Administration
CHAPTER 4
College of Communication
CHAPTER 5
College of Education
CHAPTER 6
College of Engineering
CHAPTER 7
College of Fine Arts
CHAPTER 8
College of Liberal Arts
CHAPTER 9
College of Natural Sciences
CHAPTER 10
School of Nursing
CHAPTER 11
College of Pharmacy
CHAPTER 12
School of Social Work
CHAPTER 13
The Faculty
Texas Common Course Numbering System
(Appendix A)
APPENDIX B
Degree and Course Abbreviations
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CHAPTER NINE CONTENTS
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continued
Courses
The faculty has approval to offer the following courses in the academic years 1998-1999 and
1999-2000; however, all courses are not taught each semester or summer session. Students should consult the
Course Schedule to determine which courses and topics will be offered during a particular semester or summer
session. The Course Schedule may also reflect changes that have been made to the courses listed here since
this catalog was printed.
A full explanation of course numbers is given in
General Information. In brief, the first digit of a course
number indicates the semester hour value of the course. The second and third digits indicate the rank of the
course: if they are 01 through 19, the course is of lower-division rank; if 20 through 79, of upper-division rank;
if 80 through 99, of graduate rank.
Department of Mathematics
The Department of Mathematics offers a wide variety of
courses to serve the needs of mathematics majors planning
different careers and to serve the mathematical needs of students in
other fields. Students majoring in mathematics should obtain a
current copy of the Handbook for Students from the department.
For help planning a program of study, students should consult
an adviser in the Mathematics, Physics, and Astronomy
Advising
Center, Robert Lee Moore Hall 4.101.
A concentration in actuarial studies is available to
students majoring in mathematics or another area. Typical
programs include three to seven hours of actuarial foundations,
twenty-eight hours of mathematics, and twelve hours of coursework
in the College of Business Administration. Detailed
information is available from the director of actuarial studies in the
Department of Mathematics.
Prerequisites
Most entry-level courses in the Department of Mathematics
have as a prerequisite a specific minimum score on the SAT II:
Mathematics Level IC test; therefore, many students planning to
take a course in the department must first have taken the
Mathematics Level IC test. See the current Course
Schedule or consult the Advising Center for the minimum score required.
Important advice on which entry-level mathematics course
to take, based on the student's score on the Mathematics Level
IC test, is available from the Measurement and Evaluation
Center and the Mathematics, Physics, and Astronomy Advising Center.
In courses that have a minimum test score or course grade as
a prerequisite, students will be dropped from the course if
University records do not show that they have met the
prerequisite. Students for whom the Mathematics Level IC test score
is required must be prepared to present proof of their test
score after classes have begun. Students who took the test at a
College Board test center must use the official College Board
score report as proof; students without the score report can
obtain alternate proof from the Measurement and Evaluation
Center. Students who took the test at the University must use the
test-result slip as the written proof; information about where
to obtain the test-result slip is given at the time of the test.
Students who plan to use transfer credit to meet a
prerequisite must submit a complete transcript to the Office of
Admissions, so that the credit can be added to University records. In
addition to sending a transcript, students are encouraged to bring
a grade report to the Advising Center as proof.
Students who wish to enroll in conference courses in the
Department of Mathematics must submit consent of
instructor forms to the Department of Mathematics before
registering. Forms are available in the department office and the
Advising Center.
Unless otherwise stated in the description below, each
class meets for three lecture hours a week for one semester.
Actuarial Foundations: ACF
Lower-Division Courses
309. Theory of Interest.
Measurement of interest, present value, accumulated
value, annuities, amortization, sinking funds, bonds, and
securities. Includes syllabus for Society of Actuaries Exam 140.
Prerequisite: Credit or registration for Mathematics 408D.
110, 210, 310, 410. Conference Course.
Supervised study of selected topics, by individual
arrangement with department and instructor. May be repeated for
credit when the topics vary. Some sections are offered on the
pass/fail basis only; these are identified in the
Course Schedule. Prerequisite: Written consent of instructor.
110T. Conference Course: Texas Department of Insurance
Internship.
Supervised internship at the Texas Department of
Insurance. May be repeated for credit. Admission by application only.
Students must apply to the director of the concentration in
actuarial studies the semester before they take the course.
112K. Actuarial Laboratory on Calculus and Linear Algebra.
Problems and supplementary instruction in calculus,
matrix algebra, and linear algebra, especially as required for the
Society of Actuaries and Casualty Actuarial Society Exam 100.
Three laboratory hours a week for one semester.
Prerequisite: Mathematics 408D with a grade of at
least C, and credit or registration for Mathematics 311 or 340L.
112L. Actuarial Laboratory on Interest Theory.
Problems and supplementary instruction in interest
theory, especially as required for the Society of Actuaries Exam
140. Three laboratory hours a week for one semester.
Prerequisite: Actuarial Foundations 309 with a grade of at
least C and consent of the director of the concentration in actuarial studies.
112M. Actuarial Laboratory on Probability and Statistics.
Problems and supplementary instruction in probability
and statistics, especially as required for the Society of Actuaries
and Casualty Actuarial Society Exam 110. Three laboratory hours
a week for one semester. Prerequisite: Mathematics 362K,
credit or registration for Mathematics 378K, and consent of the
director of the concentration in actuarial studies.
112N. Actuarial Laboratory on Life Contingencies.
Problems and supplementary instruction in actuarial
mathematics and contingency theory, especially as required for
the Society of Actuaries Exam 150. Three laboratory hours a
week for one semester. Prerequisite: Credit or registration for
Mathematics 469L, and consent of the director of the
concentration in actuarial studies.
Mathematics: M
Lower-Division Courses
301. College Algebra.
Topics include a brief review of elementary algebra;
linear, quadratic, exponential, and logarithmic functions;
polynomials; systems of linear equations; applications. Three
lecture hours a week for one semester. Usually offered only in the
summer session. May not be counted toward the major
requirement for the Bachelor of Arts, Plan I, degree with a major
in mathematics or toward the Bachelor of Science in
Mathematics degree. In some colleges of the University,
Mathematics 301 may not be counted toward the Area C requirement
or toward the total number of hours required for a degree.
Credit for Mathematics 301 may not be earned after a student
has received credit for any calculus course with a grade
of C or better.
302. Introduction to Mathematics.
Intended primarily for general liberal arts students
seeking knowledge of the role and nature of mathematics as well
as training in mathematical thinking and problem solving.
Topics include number theory, probability, and statistics;
additional topics are chosen by the instructor. Only one of the
following may be counted: Mathematics 302, 303D, 303F. A student
may not earn credit for Mathematics 302 after having received
credit for any calculus course. May not be counted toward the
major requirement for the Bachelor of Arts, Plan I, degree with a
major in mathematics or toward the Bachelor of Science in
Mathematics degree. May be used to fulfill the Area C
requirement for the Bachelor of Arts, Plan I, degree or the mathematics
requirement for the Bachelor of Arts, Plan II, degree.
Prerequisite: Three units of high school mathematics at the level of
Algebra I or higher.
303D. Applicable Mathematics.
An entry-level course for the nontechnical student,
dealing with some of the techniques that allow mathematics to
be applied to a variety of problems. Topics include linear
and quadratic equations, systems of linear equations,
matrices, probability, statistics, exponential and logarithmic
functions, and mathematics of finance. Only one of the following
may be counted: Mathematics 302, 303D, 303F. May not be
counted toward the major requirement for the Bachelor of Arts, Plan
I, degree with a major in mathematics or toward the Bachelor
of Science in Mathematics degree. A student may not earn
credit for Mathematics 303D after having received credit for
Mathematics 305G or any calculus course.
Prerequisite: A satisfactory score on the SAT II: Mathematics Level I or Level IC
test, or Mathematics 301 with a grade of at
least C.
403K. Calculus I for Business and Economics.
Differential and integral calculus of algebraic, logarithmic,
and exponential functions with applications; introduction to
mathematics of finance. Three lecture hours and two discussion
sessions a week for one semester. May not be counted by
students with credit for Mathematics 408C, 308K, or 308L. May not
be counted toward the major requirement for the Bachelor of
Arts, Plan I, degree with a major in mathematics or toward the
Bachelor of Science in Mathematics degree.
Prerequisite: A satisfactory score on the SAT II: Mathematics Level I or Level IC
test, Mathematics 301 with a grade of at least
B, or Mathematics 304E or 305G with a grade of at
least C.
403L. Calculus II for Business and Economics.
Differential and integral calculus of functions of several
variables with applications, infinite series, improper integrals;
introductions to probability, differential equations,
matrices, systems of linear equations, and linear programming.
Three lecture hours and two discussion sessions a week for one
semester. Only one of the following may be counted:
Mathematics 403L, 408D, 308M. May not be counted toward the
major requirement for the Bachelor of Arts, Plan I, degree with a
major in mathematics or toward the Bachelor of Science in
Mathematics degree. Prerequisite: Mathematics 403K, 408C, or
308L with a grade of at least C.
305G. Elementary Functions and Coordinate Geometry.
Study of elementary functions, their graphs and
applications, including polynomial, rational, and algebraic functions,
exponential, logarithmic, and trigonometric functions.
Mathematics 304E and 305G may not both be counted.
Mathematics 301, 304E, 305G, and equivalent courses may not be
counted toward the total number of hours required for the Bachelor
of Arts, Plan I, degree with a major in mathematics or the
Bachelor of Science in Mathematics degree. Credit for
Mathematics 305G may not be earned after a student has received credit
for any calculus course with a grade of C or better.
Prerequisite: A satisfactory score on the SAT II: Mathematics Level I or
Level IC test, or Mathematics 301 with a grade of at
least C.
408C. Differential and Integral Calculus.
Certain sections are designated as honors sections for
well-prepared students of mathematics and mathematically
oriented sciences who wish to investigate more thoroughly the
foundations of calculus. Introduction to the theory and
applications of differential and integral calculus of functions of
one variable; topics include limits, continuity, differentiation,
the mean value theorem and its applications, integration, the
fundamental theorem of calculus, and transcendental
functions. Three lecture hours and two discussion hours a week for
one semester. May not be counted by students with credit for
Mathematics 403K, 308K, or 308L.
Prerequisite: Four years of high school mathematics and a satisfactory score on the SAT
II: Mathematics Level I or Level IC test, or Mathematics 304E
or 305G with a grade of at least C.
408D. Sequences, Series, and Multivariable Calculus.
Certain sections are designated as honors sections for
well-prepared students of mathematics and mathematically
oriented sciences who wish to investigate more thoroughly the
foundations of calculus. Introduction to the theory and
applications of sequences and infinite series, including those
involving functions of one variable, and to the theory and
applications of differential and integral calculus of functions of
several variables; topics include parametric equations,
sequences, infinite series, power series, vectors, vector calculus,
functions of several variables, partial derivatives, gradients, and
multiple integrals. Three lecture hours and two discussion hours a
week for one semester. Only one of the following may be
counted: Mathematics 403L, 408D, 308M. Prerequisite:
Mathematics 408C or the equivalent with a grade of at
least C.
308K. Differential Calculus.
Introduction to the theory and applications of differential
calculus of functions of one variable; topics include limits,
continuity, differentiation, and the mean value theorem and
its applications. This course is available for transfer credit but
is not taught in residence. Only one of the following may
be counted: Mathematics 403K, 408C, 308K.
308L. Integral Calculus.
Introduction to the theory and applications of integral
calculus of functions of one variable; topics include
integration, the fundamental theorem of calculus, transcendental
functions, parametric equations, and sequences. Only one of the
following may be counted: Mathematics 403K, 408C, 308L.
Prerequisite: Mathematics 308K or the equivalent with a grade of
at least C.
308M. Multivariable Calculus.
Introduction to the theory and applications of infinite
series, including those involving functions of one variable, and
to the theory and applications of differential and integral
calculus of functions of several variables; topics include infinite
series, power series, vectors, vector calculus, functions of
several variables, partial derivatives, gradients, and multiple
integrals. Certain sections are designated as honors sections for
well-prepared students of mathematics and mathematically
oriented sciences who wish to investigate more thoroughly the
foundations of calculus. Only one of the following may be
counted: Mathematics 403L, 408D, 308M.
Prerequisite: Mathematics 308L or the equivalent with a grade of at
least C.
110, 210, 310, 410. Conference Course.
Supervised study in mathematics, with hours to be
arranged. May be repeated for credit when the topics vary. Some
sections are offered on the pass/fail basis only; these are
identified in the Course Schedule.
Prerequisite: Written consent of instructor. Forms are available in the department office or in
the Mathematics, Physics, and Astronomy Advising Center.
210E. Emerging Scholars Seminar.
Restricted to students in the Emerging Scholars
Program. Supplemental problem-solving laboratory for precalculus,
calculus, or advanced calculus courses for students in the
Emerging Scholars Program. Three two-hour laboratory sessions
a week for one semester. May be repeated for credit. Offered
on the pass/fail basis only.
311. Linear Algebra and Matrix Theory.
Vector spaces, linear transformations, matrices, linear
equations, determinants. Some emphasis on rigor and proofs.
Mathematics 311 and 340L may not both be counted.
Mathematics majors are expected to take Mathematics 311 immediately
after 408D. Prerequisite: Mathematics 408D with a grade of
at least C.
316. Elementary Statistical Methods.
Graphical presentation, frequency functions, distribution
functions, averages, standard deviation, variance, curve-fitting,
and related topics. Only one of the following may be
counted: Mathematics 316, 360K (Topic 1: Applications of
Probability Theory), 362K. May not be counted toward the major
requirement for the Bachelor of Arts, Plan I, degree with a major
in mathematics or toward the Bachelor of Science in
Mathematics degree. Prerequisite: A satisfactory score on the SAT II:
Mathematics Level I or Level IC test, or Mathematics 301 with
a grade of at least C.
316K. Foundations of Arithmetic.
An analysis, from an advanced perspective, of the
concepts and algorithms of arithmetic, including sets; numbers;
numeration systems; definitions, properties, and algorithms of
arithmetic operations; and percents, ratios, and proportions.
Problem solving is stressed. May not be counted toward the
major requirement for the Bachelor of Arts, Plan I, degree with a
major in mathematics or toward the Bachelor of Science in
Mathematics degree. Credit for Mathematics 316K may not be
earned after the student has received credit for any calculus
course with a grade of C or better, unless the student is registered
in the College of Education. Prerequisite: Mathematics 303D,
304E, 305G, or 316 with a grade of at least C.
316L. Foundations of Geometry, Statistics, and Probability.
An analysis, from an advanced perspective, of the basic
concepts and methods of geometry, statistics, and probability,
including representation and analysis of data; discrete
probability, random events, and conditional probability;
measurement; and geometry as approached through similarity and
congruence, through coordinates, and through transformations.
Problem solving is stressed. May not be counted toward the
major requirement for the Bachelor of Arts, Plan I, degree with a
major in mathematics or toward the Bachelor of Science in
Mathematics degree. Credit for Mathematics 316L may not be
earned after the student has received credit for any calculus
course with a grade of C or better, unless the student is registered
in the College of Education. Prerequisite: Mathematics 316K
with a grade of at least C.
119S, 219S, 319S, 419S, 519S, 619S, 719S, 819S,
919S. Topics in Mathematics.
This course is used to record credit the student earns
while enrolled at another institution in a program administered
by the University's Study Abroad Office. Credit is recorded as
assigned by the study abroad adviser in the Department of
Mathematics. University credit is awarded for work in an
exchange program; it may be counted as coursework taken in
residence. Transfer credit is awarded for work in an affiliated studies
program. May be repeated for credit when the topics vary.
Upper-Division Courses
325K. Discrete Mathematics.
Provides a transition from the problem-solving approach
of Mathematics 408C and 408D to the rigorous approach of
advanced courses. Topics include logic, set theory, relations
and functions, combinatorics, graph theory and graph
algorithms, matrix operations, and elementary linear algebra.
Prerequisite: Mathematics 408D with a grade of at
least C, or consent of instructor.
427K. Advanced Calculus for Applications I.
Infinite series, ordinary and partial differential equations.
Five class hours a week for one semester.
Prerequisite: Mathematics 408D with a grade of at
least C.
427L. Advanced Calculus for Applications II.
Matrices, elements of vector analysis and calculus of
functions of several variables, including gradient, divergence, and
curl of a vector field, multiple integrals and chain rules, length
and area, line and surface integrals, Green's theorems in the
plane and space, and, if time permits, complex analysis. Five
class hours a week for one semester.
Prerequisite: Mathematics 408D with a grade of at
least C.
328K. Introduction to Number Theory.
Provides a transition from the problem-solving approach
of Mathematics 408C and 408D to the rigorous approach of
advanced courses. Properties of the integers, divisibility,
linear and quadratic forms, prime numbers, congruences and
residues, quadratic reciprocity, number theoretic functions.
Mathematics 328K and 360K (Topic 2: Number
Theory) may not both be counted.
Prerequisite: Mathematics 311 with a grade of
at least C.
129S, 229S, 329S, 429S, 529S, 629S, 729S, 829S,
929S. Topics in Mathematics.
This course is used to record credit the student earns
while enrolled at another institution in a program administered
by the University's Study Abroad Office. Credit is recorded as
assigned by the study abroad adviser in the Department of
Mathematics. University credit is awarded for work in an
exchange program; it may be counted as coursework taken in
residence. Transfer credit is awarded for work in an affiliated studies
program. May be repeated for credit when the topics vary.
329W. Cooperative Mathematics.
This course covers the work period of mathematics students
in the Cooperative Education program, which provides
supervised work experience by arrangement with the employer and
the supervising instructor. Forty laboratory hours a week for
one semester. The student must repeat the course each work
period and must take it twice to receive credit toward the
degree; at least one of these registrations must be during a
long-session semester. No more than three semester hours may
be counted toward the major requirement; no more than six
semester hours may be counted toward the degree. The
student's first registration must be on the pass/fail basis.
Prerequisite: Application through the College of Natural Sciences
Career Services Office; Computer Sciences 304P, Mathematics
408D, and a grade of at least C in two of the following courses:
Mathematics 311, 325K, 427K, 362K, 378K; and consent of the
undergraduate adviser.
333L. Structure of Modern Geometry.
Axiom systems, transformational geometry, introduction
to non-Euclidean geometries, and other topics in geometry;
use of these ideas in teaching geometry.
Prerequisite: Mathematics 408D with a grade of at
least C, or upper-division standing and consent of instructor.
340L. Matrices and Matrix Calculations.
Techniques of matrix calculations and applications of linear
algebra. Mathematics 311 and 340L may not both be
counted. Prerequisite: One semester of calculus with a grade of at
least C or consent of instructor.
343K. Introduction to Algebraic Structures.
Elementary properties of groups and rings, including
symmetric groups, properties of the integers, polynomial rings,
elementary field theory. Students who have received a grade
of C or better in Mathematics 373K may not take Mathematics
343K. Prerequisite: Mathematics 311 with a grade of at
least C and either 325K or 328K with a grade of at
least C.
344K. Intermediate Symbolic Logic.
Same as Philosophy 344K. A second-semester course in
symbolic logic: formal syntax and semantics, basic
metatheory (soundness, completeness, compactness, and
Löwenheim-Skolem theorems), and further topics in logic.
Prerequisite: Philosophy 313, 313K, 313Q, or consent of instructor.
346. Applied Linear Algebra.
Emphasis on diagonalization of linear operators and
applications to dynamical systems and ordinary differential
equations. Other subjects include inner products and orthogonality,
normal mode expansions, vibrating strings and the wave
equation, Fourier series and Fourier integrals, and Green's
functions. Prerequisite: Mathematics 340L or 311 with a grade of at
least C.
360M. Mathematics as Problem Solving.
Discussion of heuristics, strategies, and methods of
evaluating problem solving, and extensive practice in both group
and individual problem solving. Communicating
mathematics, reasoning, and connections among topics in mathematics
are emphasized. Prerequisite: Mathematics 408D with a grade of
at least C and written consent of instructor.
361. Theory of Functions of a Complex Variable.
Elementary theory and applications of analytic functions,
series, contour integration, and conformal mappings.
Prerequisite: Mathematics 427K or 427L with a grade of at
least C or consent of instructor.
361K. Introduction to Real Analysis.
A rigorous treatment of the real number system, of real
sequences, and of limits, continuity, derivatives, and
integrals of real-valued functions of one real variable. Students who
have received a grade of C or better in Mathematics 365C may
not take Mathematics 361K. Prerequisite: Mathematics 311 with
a grade of at least C and either 325K or 328K with a grade of
at least C.
362K. Probability I.
An introductory course in the mathematical theory of
probability, fundamental to further work in probability and
statistics. Only one of the following may be counted:
Mathematics 316, 360K (Topic 1: Applications of Probability
Theory), 362K. Prerequisite: Mathematics 408D with a grade of at
least C.
362M. Introduction to Stochastic Processes.
Introduction to Markov chains, birth and death processes,
and other topics. Prerequisite: Mathematics 362K with a grade of
at least C.
364K. Vector and Tensor Analysis I.
Invariance, vector algebra and calculus, integral theorems,
general coordinates, introductory differential geometry and
tensor analysis, applications.
Prerequisite: Mathematics 427K or 427L with a grade of at
least C.
364L. Vector and Tensor Analysis II.
Continuation of Mathematics 364K, with emphasis on
tensor and extensor analysis. Riemannian geometry and
invariance. Prerequisite: Mathematics 364K with a grade of at
least C.
365C. Real Analysis I.
A rigorous treatment of the real number system,
Euclidean spaces, metric spaces, continuity of functions in metric
spaces, differentiation and Riemann integration of real-valued
functions of one real variable, and uniform convergence of
sequences and series of functions. Students who have received
a grade of C or better in Mathematics 365C may not take
Mathematics 361K. Prerequisite: Mathematics 311 with a grade of
at least C and either 325K or 328K with a grade of at
least C. Students who receive a grade of C
in 325K or 328K are advised to take 361K before attempting 365C.
365D. Real Analysis II.
Recommended for students planning to undertake
graduate work in mathematics. A rigorous treatment of selected
topics in real analysis, such as Lebesgue integration, or
multivariate integration and differential forms.
Prerequisite: Mathematics 365C with a grade of at
least C.
367K. Topology I.
An introduction to topology, including sets, functions,
cardinal numbers, and the topology of metric spaces.
Prerequisite: Mathematics 361K or 365C or consent of instructor.
367L. Topology II.
Various topics in topology, primarily of a geometric
nature. Prerequisite: Mathematics 367K with a grade of at
least C or consent of instructor.
368K. Numerical Mathematics for Applications.
Introduction to numerical methods for applied problems
in science and engineering. Topics include linear equations,
approximation, differential equations. Only one of the
following may be counted: Computer Sciences 367,
Mathematics 368K, Physics 329.
Prerequisite: A grade of at least C in
Mathematics 427K and in either 311 or 340L.
369E. Applied Statistical Methods for Actuaries.
Introduction to analysis of variance, regression analysis,
and time series. Includes the syllabus for the Society of
Actuaries and Casualty Actuarial Society Exam 120.
Prerequisite: A grade of at least C in Mathematics 378K and in either 340L or 311.
369J. Credibility Theory and Loss Distributions.
Introduction to statistical techniques for modeling and
approximating the probabilistic distribution of insurance
losses, including measuring the credibility of the resulting
models. Includes the syllabus for the Casualty Actuarial Society
Exam 4B. Prerequisite: Mathematics 378K with a grade of at
least C.
469K. Actuarial Mathematics I.
Probabilistic theory of single-event losses, with
applications to insurance. With Mathematics 469L, includes the
syllabus for the Society of Actuaries Exam 150. Four lecture hours
a week for one semester. Mathematics 469K and 389L may
not both be counted. Prerequisite: Actuarial Foundations 309
and Mathematics 362K with a grade of at least C
in each, and consent of the director of the concentration in actuarial studies.
469L. Actuarial Mathematics II.
Probabilistic theory of multiple-event losses, with
applications to insurance. With Mathematics 469K, includes the
syllabus for the Society of Actuaries Exam 150. Four lecture hours
a week for one semester. Mathematics 469L and 389M may
not both be counted. Prerequisite: Mathematics 469K with a
grade of at least C, and consent of the director of the
concentration in actuarial studies.
372. Fourier Series and Boundary Value Problems.
Discussion of differential equations of mathematical
physics and representation of solutions by Green's functions
and eigenfunction expansions. Prerequisite: Mathematics 427K
with a grade of at least C.
373K. Algebraic Structures I.
A study of groups, rings, and fields, including structure
theory of finite groups, isomorphism theorems, polynomial rings,
and principal ideal domains. Students who have received a
grade of C or better in Mathematics 373K may not take
Mathematics 343K. Prerequisite: Mathematics 311 with a grade of at
least C and either 325K or 328K with a grade of at
least C, or consent of instructor. Students who receive a grade
of C in Mathematics 325K or 328K are advised to take 343K before
attempting 373K.
373L. Algebraic Structures II.
Recommended for students planning to undertake
graduate work in mathematics. Topics from vector spaces and
modules, including direct sum decompositions, dual spaces,
canonical forms, and multilinear algebra.
Prerequisite: Mathematics 373K with a grade of at
least C.
374. Fourier and Laplace Transforms.
Operational properties and application of Laplace
transforms; some properties of Fourier transforms.
Prerequisite: Mathematics 427K with a grade of at
least C.
374K. Fourier and Laplace Transforms.
Continuation of Mathematics 374. Introduction to other
integral transforms, such as Hankel, Laguerre, Mellin, Z.
Prerequisite: Mathematics 374 with a grade of at
least C.
175, 275, 375, 475. Conference Course.
Supervised study in mathematics, with hours to be
arranged. May be repeated for credit when the topics vary.
Prerequisite: Upper-division standing in mathematics and written
consent of instructor.
375C. Conference Course (Computer-Assisted).
Supervised study in mathematics on material requiring use
of computing resources, with hours to be arranged. May be
repeated for credit when the topics vary.
Prerequisite: Upper-division standing in mathematics and written consent of
instructor.
376C. Methods of Applied Mathematics I.
A rigorous treatment of introductory methods of applied
mathematics; topics are chosen by the instructor. May be
repeated for credit when the topics vary.
Prerequisite: A grade of at least C in Mathematics 427K and 427L, 361K, or 365C.
378K. Introduction to Mathematical Statistics.
Estimation of parameters and testing of hypotheses.
Mathematics 362K and 378K form the core sequence for students in
statistics. Prerequisite: Mathematics 362K with a grade of at
least C.
379H. Honors Tutorial Course.
Directed reading, research, and/or projects, under the
supervision of a faculty member, leading to an honors thesis.
Conference course. Prerequisite: Admission to the Mathematics
Honors Program, a grade point average of at least 3.50 in
Mathematics 365C and 373K, and approval of the honors adviser.
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