| MATH 1010
Intermediate Algebra | 3 credit hours |
| Prerequisites: | ACT score
of at least 17, or satisfactory Math placement exam score.
|
| Related quarter/semester courses:
| MATH 101
|
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | Rapid
review of elementary algebra; exponents and radicals; linear
functions, equations, inequalities; complex numbers;
quadratic functions and equations; logarithm and exponential
functions. |
| |
| MATH 1030 Introduction to
Quantitative Thinking | 3 credit hours |
| Prerequisites: |
MATH 1010, or equivalent, or adequate placement test score.
|
| Related quarter/semester courses:
| MATH 103
|
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: |
Mathematical methods for solving problems through specific
case studies: isolation of relevant parameters, data
analysis, representation and interpretation, simulations,
geometric and time- varying models. |
| |
| MATH 1040 Introduction to
Statistics | 3 credit hours |
| Prerequisites: | MATH 1010, or
equivalent, or adequate placement test score. |
| Course taught: | Fall,
Spring, Summer, Every year. |
|
Description: | The course covers descriptive
statistics and elements of estimation and testing. Proposed
to satisfy the following requirements: Quantitative
Literacy |
| |
| MATH 1050 College Algebra
| 4
credit hours |
|
Prerequisites: | MATH 1010 or
equivalent, or adequate placement test score, or ACT score
of at least 23. |
| Related
quarter/semester courses: | MATH 105 |
|
Course taught: | Fall, Spring, Summer,
Every year. |
| Description: | For students intending to go on to further
work in mathematics, science, engineering (for those who
plan to take calculus). Functions and graphs, linear models
and matrices, exponential and logarithm functions,
arithmetic and geometric sequences. |
| |
| MATH 1060 Trigonometry
| 2
credit hours |
|
Prerequisites: | MATH 1010 or
equivalent, or adequate placement test score, or ACT score
of at least 23. |
| Related
quarter/semester courses: | MATH 106 |
|
Course taught: | Fall, Spring, Summer,
Every year. |
| Description: | Trigonometric functions, periodicity, polar
coordinates, planar vectors. |
| |
| MATH 1070 Elementary
Statistics | 3 credit hours |
| Prerequisites: | MATH 1010
|
| Related quarter/semester courses:
| MATH 107
|
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | Students
who have completed one quarter of calculus should take MATH
3070 instead of MATH 1070. Modern statistics, including
summarization of data, introduction to probability,
elementary methods of estimation, and statistical tests.
|
| |
| MATH 1075 The Mathematics of
Chance |
3 credit hours |
|
Prerequisites: | MATH 01010 |
| Course taught: | Fall,
Every year. |
| Description: |
The development of probability (an historical
look), probability and games of chance, applications of
probability to statistics, genetics, other applications as
time permits. |
| |
| MATH 1080 Perspective on
Mathematics | 3 credit hours |
| Prerequisites: | MATH 01010 or
equivalent |
| Course taught: | Spring, Every year. |
|
Description: | Topics from calculus,
emphasizing the ideas of calculus rather than the technical
aspects. |
| |
| MATH 1090 College Algebra for
Business, Social Sciences | 3 credit hours |
| Prerequisites: |
MATH 1010 or equivalent, adequate placement test score, or
ACT score of at least 23. |
| Related
quarter/semester courses: | MATH 128 |
|
Course taught: | Fall, Spring, Summer,
Every year. |
| Description: | Functions and graphs, linear and quadratic
functions, matrices, Gaussian elimination, Leontieff models,
exponential and logarithmic functions, growth, periodic and
continuously compounded interest, arithmetic and geometric
series, annuities and loans. |
| |
| MATH 1100 Quantitative
Analysis | 3 credit hours |
| Prerequisites: | MATH 1090
|
| Related quarter/semester courses:
| MATH 129
|
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | Not for
students who have completed more than one quarter of
calculus. Differentiation, maximization and minimization of
functions, marginal analysis and the optimization of
constrained functions, integration and applications. |
| |
| MATH 1170 Mathematics for
Life Scientists I | 4 credit hours |
| Prerequisites: | MATH 1050 and
MATH 1060 |
| Related quarter/semester
courses: | MATH
121 MATH 122 MATH 123 |
| Course
taught: | Fall, Every year. |
| Description: |
Differential and integral calculus applied to biological
problems. Derivation and analysis of discrete time
dynamical systems for growth, diffusion, and selection.
Probability and statistics applied to biological problems.
Computer lab using Maple. |
| |
| MATH 1180 Mathematics for
Life Scientists II | 4 credit hours |
| Prerequisites: | MATH 1170 or
consent of instructor |
| Related
quarter/semester courses: | MATH 122 MATH 123 |
| Course taught: | Spring, Every
year. |
| Description: | Second half of the course described under the
listing for MATH 1170. |
| |
| MATH 1210 Calculus I
| 4 credit
hours |
| Prerequisites:
| MATH 1050, MATH 1060; or ACT score of at
least 23 with equivalent high school preparation as noted.
|
| Related quarter/semester courses:
| MATH 111 MATH 112
|
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | Functions
and their graphs, differentiation of polynomial, rational
and trigonometric functions. Velocity and acceleration.
Geometric applications of the derivative, minimization and
maximization problems, the indefinite integral, and an
introduction to differential equations. The definite
integral and the Fundamental Theorem of Calculus. |
| |
| MATH 1215 Calculus I with
Maple |
4 credit hours |
|
Prerequisites: | MATH 1050, MATH 1060;
or ACT score or at least 23 with equivalent high school
preparation as noted. |
| Related
quarter/semester courses: | MATH 111 MATH 112 |
| Course taught: | Fall, Spring,
Every year. |
| Description: | This course is the same as MATH 1210 with an
added Maple lab component. |
| |
| MATH 1220 Calculus II
| 4 credit
hours |
| Prerequisites:
| MATH 1210 or MATH 1215 |
| Related quarter/semester courses: | MATH 112 MATH 113
|
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | Geometric
applications of the integral, logarithmic and exponential
functions, techniques of integration, conic sections,
improper integrals, numerical approximation techniques,
infinite series and power series expansions, differential
equations (continued). |
| |
| MATH 1225 Calculus II with
Maple |
4 credit hours |
|
Prerequisites: | MATH 1210 or MATH
1215 |
| Related quarter/semester courses:
| MATH 112
MATH 113 |
| Course taught:
| Fall, Spring, Every year. |
| Description: | This course
is the same as MATH 1220, with an added Maple lab component.
|
| |
| MATH 1250 Calculus for AP
Students I | 4 credit hours |
| Prerequisites: | Consent of
Department |
| Related quarter/semester
courses: | MATH
211 MATH 212 |
| Course taught:
| Fall, Every year. |
|
Description: | MATH 1250 and MATH
1260 together replace the three semester sequence MATH 1210,
MATH 1220, MATH 2210. Review of introductory calculus,
applications of differential and integral calculus,
introduction to differential equations, conic sections and
polar coordinates, numerical approximation, sequences and
series, power series. |
| |
| MATH 1260 Calculus for AP
Students II | 4 credit hours |
| Prerequisites: | MATH 1250 or
5 on AB Test or 3 on BC Test. |
| Related
quarter/semester courses: | MATH 212 MATH 213 |
| Course taught: | Fall, Spring,
Every year. |
| Description: | Completion of MATH 1260 is equivalent to
completing the entire three semester Calculus I, II, III
sequence. Vectors in the plane and in 3-space, differential
calculus in several variables, integration and its
applications in several variables, vector fields, and line,
surface and volume integrals. Green's and Stokes' Theorems.
|
| |
| MATH 1400 Rapid Calculus
| 5
credit hours |
|
Prerequisites: | One quarter of
calculus |
| Course taught: | Other (specified in course description).
|
| Description: |
This is a course to be taught only in the Fall Semester of
1998. Its purpose is to take students who have completed
our MATH 111 (quarter system) and get them through the rest
of Calculus I and II in one semester. For topics see the
descriptions and MATH 1210 and MATH 1220. |
| |
| MATH 2070 Mathematics in
Medicine | 3 credit hours |
| Prerequisites: | MATH 1210 or
MATH 1170 |
| Course taught: | Spring, Every other year. |
|
Description: | The course is
designed to give students the quantitative tools needed to
understand and solve problems and models in the medical
sciences, using examples from pharmaceutics, epidemiology,
and physiology. The class format will be a combination of
lectures and discussion sessions. |
| |
| MATH 2160 Introduction to
Scientific Computing Using C |
3 credit hours |
| Prerequisites: | MATH 1210
or consent of instructor |
| Related
quarter/semester courses: | MATH 216 |
|
Course taught: | Spring, Every year.
|
| Description: | A
short introduction to those aspects of C and C++ essential
for mathematics, followed by extensive work with mathematics
problems in which computation plays an important role.
|
| |
| MATH 2210 Calculus III
| 3
credit hours |
|
Prerequisites: | MATH 1220 or MATH
1225 |
| Related quarter/semester
courses: | MATH
113 MATH 213 |
| Course taught:
| Fall, Spring, Summer, Every year. |
| Description: |
Vectors in the plane and in 3-space, differential calculus
in several variables, integration and its applications in
several variables, vector fields and line, surface, and
volume integrals. Green's and Stokes' theorems. |
| |
| MATH 2250 Ordinary
Differential Equations and Linear Algebra | 3 credit hours
|
| Prerequisites: |
MATH 2210 or MATH 1260 or PHYSICS 2210 or
PHYSICS 3210 |
| Related quarter/semester
courses: | MATH
251 MATH 252 |
| Course taught:
| Fall, Spring, Summer, Every year. |
| Description: | First
and second order ODEs with applications to mechanics,
electrical circuits, and populations. Qualitative analysis
and stability. Elementary numerical methods. Laplace
transforms. Linear algebra and its applications to solution
spaces, systems of differential equations, and phase space
analysis. Introduction to nonlinear systems and chaos.
|
| |
| MATH 2270 Linear Algebra
| 4
credit hours |
|
Prerequisites: | MATH 1220 or MATH
1225 or MATH 1260 |
| Related
quarter/semester courses: | MATH 221 MATH 222 |
| Course taught: | Fall, Spring,
Every year. |
| Description: | Euclidean space, linear systems, Gaussian
elimination, determinants, inverses, vector spaces, linear
transformations, quadratic forms, least squares and linear
programming, eigenvalues and eigenvectors, diagonalization.
Includes theoretical and computer lab components. |
| |
| MATH 2280 Introduction to
Differential Equations | 4 credit hours |
| Prerequisites: |
MATH 2270 or consent of instructor |
|
Related quarter/semester courses: |
MATH 222 MATH 223 |
| Course taught: | Fall,
Spring, Every year. |
| Description:
| Linear and nonlinear differential
equations and systems of equations, with applications.
Matrix exponential, fundamental solution matrix, phase space
and portraits, stability, initial and boundary value
problems, introduction to partial differential equations.
Requires familiarity with linear algebra. Includes
theoretical and computer lab components. |
| |
| MATH 2500 Linear
Algebra/Vector Calculus | 3 credit hours |
| Prerequisites: |
First quarter of the engineering Math sequence |
| Course taught: | Other
(specified in course description). |
|
Description: | This is a course to be
taught only in the Fall Semester of 1998. Its purpose is to
take students who have completed our MATH 251 (quarter
system) and get them through MATH 252. The topics will be
linear algebra, matrix theory and the basics of vector
calculus. |
| |
| MATH 3010 Topics in the
History of Mathematics. | 3 credit hours |
| Course taught: |
Spring, Every other year. |
|
Description: | A brief look at the
history of mathematics, focusing on the principal ideas of
importance in the development of the subject. |
| |
| MATH 3070 Applied Statistics
I | 4
credit hours |
|
Prerequisites: | MATH 1210 or MATH
1215 |
| Related quarter/semester
courses: | MATH
307 |
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | An
introduction to basic probability theory, sampling from
normal populations, large- sample problems, sampling from
one or two populations, estimation and testing. SAS is used
to perform statistical analyses. There are three lectures
and one 1 1/2 hr lab per week. |
| |
| MATH 3080 Applied Statistics
II |
3 credit hours |
|
Prerequisites: | MATH 3070 |
| Related quarter/semester courses: | MATH 308 |
| Course taught: |
Spring, Every year. |
| Description:
| Introduction to analysis of variance,
regression analysis, correlation analysis, and nonparametric
techniques. Continued use of SAS programming language.
There are two lectures and one 1 1/2 hr lab per week. |
| |
| MATH 3090 Design of
Experiments | 3 credit hours |
| Prerequisites: | MATH 3070
|
| Related quarter/semester courses:
| MATH 309
|
| Course taught: | Fall, Every other year. |
|
Description: | Introduction to the
design of experiments, multiple regression, factorial and
nested designs. SAS is used for computations. |
| |
| MATH 3100 Foundations of
Geometry | 3 credit hours |
| Prerequisites: | MATH 2210
|
| Related quarter/semester courses:
| MATH 310
|
| Course taught: | Spring, Every year. |
|
Description: | Modern axiomatic
development of Euclidean geometry and of trigonometry, also
incidence theorems, projective invariants, straight-edge and
compass constructions, spherical and hyperbolic geometries.
Mathematics teaching majors should take the accompanying
practicum, MATH 3105. |
| |
| MATH 3105 Geometry Practicum
| 1
credit hour |
| Corequisites:
| MATH 3100 |
|
Course taught: | Spring, Every year.
|
| Description: |
Application of the geometry studied in MATH 3100 to the
secondary school classroom. |
| |
| MATH 3150 Partial
Differential Equations for Engineering Students |
2 credit hours
|
| Prerequisites: |
MATH 2250 or MATH 2270 and MATH 2280 |
| Related quarter/semester courses:
| MATH 353
|
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | Fourier
series and boundary-value problems for the wave, heat, and
Laplace equations; separation of variables; Sturm-Liouville
problems and orthogonal expansions; Bessel functions and
Legendre polynomials. Fourier transform. |
| |
| MATH 3160 Complex Variables
for Engineering Students | 2 credit hours |
| Prerequisites: |
MATH 2250 |
| Related quarter/semester
courses: | MATH
354 |
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | Analytic
functions, complex integration, Cauchy integral theorem,
Taylor and Laurent series, residues and contour integrals,
conformal mappings with applications to electrostatics,
heat, and fluid flow. |
| |
| MATH 3210 Foundations of
Analysis I | 3 credit hours |
| Prerequisites: | MATH 2210
|
| Related quarter/semester courses:
| MATH 327
|
| Course taught: | Fall, Spring, Every year. |
|
Description: | Methods of proof in
mathematical analysis. Rigorous reconsideration of the real
number system, cardinality, continuity, differentiability,
integrability, compactness and connectedness. The emphasis
is on improving the students' ability to understand and
explain concepts in a logical and complete manner. |
| |
| MATH 3220 Foundations of
Analysis II | 3 credit hours |
| Prerequisites: | MATH 3210
|
| Related quarter/semester courses:
| MATH 325 MATH 326
|
| Course taught: | Fall, Spring, Every year. |
|
Description: | Reconsideration of
topics in several variable calculus from a more advanced
point of view. Topics include: differentiation and affine
approximations, chain rule, Taylor series and multivariable
extremization, error estimation, Fubini's theorem,
introduction to differential forms and the general Stokes'
Theorem, inverse and implicit function theorems,
applications to the study of curves and surfaces. |
| |
| MATH 3730 Applied Linear
Algebra |
3 credit hours |
|
Prerequisites: | MATH 2250 or MATH
2270 |
| Related quarter/semester
courses: | MATH
373 |
| Course taught: | Spring, Every year. |
|
Description: | Vector spaces, linear
transformations, systems of linear equations, eigenvalues
and eigenvectors, applications to Markov chains, linear
difference and differential equations, numerical methods.
There is also an applied computer lab component. |
| |
| MATH 4010 Teaching of
Elementary School Mathematics I |
4 credit hours |
| Prerequisites: |
MATH 1050 |
| Related quarter/semester
courses: | MATH
401 MATH 402 |
| Course taught:
| Fall, Every year. |
|
Description: | Introduction to
real-number arithmetic, intuitive and computational
geometry, with an emphasis on communicating these concepts
to children in grades K-6. Developing a more mature view of
arithmetic skills, including the use of computers in
teaching problem-solving skills. |
| |
| MATH 4020 Teaching of
Elementary School Mathematics II |
4 credit hours |
| Prerequisites: |
MATH 4010 |
| Related quarter/semester
courses: | MATH
402 MATH 403 |
| Course taught:
| Spring, Every year. |
|
Description: | Second half of the
course described under the listing for MATH 4010. |
| |
| MATH 4040 Teacher Leader
Training I | 4 credit hours |
| Prerequisites: | MATH 1050
|
| Related quarter/semester courses:
| MATH 404 MATH 405
|
| Course taught: | Fall, Every other year. |
|
Description: | Elementary
probability and statistics, networks, and graphs. Intuitive
and computational geometry. Introduction to trigonometry.
Intuitive calculus. |
| |
| MATH 4050 Teacher Leader
Training II | 4 credit hours |
| Prerequisites: | MATH 1050,
MATH 4040 |
| Related quarter/semester
courses: | MATH
405 MATH 406 |
| Course taught:
| Spring, Every other year. |
| Description: | Second half
of the course described under the listing for MATH 4040.
|
| |
| MATH 4090 Teaching of
Secondary School Mathematics |
3 credit hours |
| Prerequisites: |
MATH 2210 |
| Related quarter/semester
courses: | MATH
409 |
| Course taught: | Fall, Every year. |
|
Description: | Presentation of
mathematical material at the appropriate level,
remedial-instruction methods, curriculum development. |
| |
| MATH 4200 Introduction to
Complex Variables | 3 credit hours |
| Prerequisites: | MATH 3220
|
| Course taught: | Fall, Every year. |
|
Description: | Complex functions and
their differentiability, complex integrals, power series,
the Cauchy theorem and formulas, residues and applications
to evaluating integrals, conformal mappings and
applications. Graduate students in other departments who
need this course should consult the instructor. |
| |
| MATH 4300 Introduction to
Algebra |
3 credit hours |
|
Prerequisites: | MATH 2210 |
| Related quarter/semester courses: | MATH 330 |
| Course taught: |
Fall, Every year. |
| Description:
| The integers, unique factorization, and
modular arithmetic. Polynomial rings. Introduction to
abstract algebraic systems. Mathematics teaching majors
should also take the accompanying practicum, MATH 4305.
|
| |
| MATH 4305 Algebra Practicum
| 1
credit hour |
| Corequisites:
| MATH 4300 |
|
Course taught: | Fall, Every year.
|
| Description: |
Application of the material studied in MATH 4300 to the
secondary school classroom. |
| |
| MATH 4400 Introduction to
Number Theory | 3 credit hours |
| Related quarter/semester courses: | MATH 528 |
| Course taught: |
Spring, Every year. |
| Description:
| An overview of algebraic number theory,
covering factorization and primes, modular arithmetic,
quadratic residues, continued fractions, quadratic forms,
and diophantine equations. |
| |
| MATH 4510 Introduction to
Topology | 3 credit hours |
| Prerequisites: | MATH 3220
|
| Related quarter/semester courses:
| MATH 551
|
| Course taught: | Fall, Every year. |
|
Description: | Introduction to the
ideas of topologies, compactness, connectedness, separation
axioms, metric spaces. Graduate students in other
departments who need this course should consult the
instructor. |
| |
| MATH 4530 Curves and Surfaces
in Euclidean Space | 3 credit hours |
| Prerequisites: | MATH 3220
|
| Related quarter/semester courses:
| MATH 553
|
| Course taught: | Spring, Every year. |
|
Description: | Frenet theory, Gaussian
and mean curvatures, Gauss-Bonnet theorem, minimal surfaces,
and surfaces of constant curvature. Graduate students in
other departments who need this course should consult the
instructor. |
| |
| MATH 4750 Elementary
Mathematical Fluid Dynamics |
3 credit hours |
| Prerequisites: |
MATH 2250, MATH 3150, or consent of instructor |
| Course taught: | Other
(specified in course description). |
|
Description: | An elementary
introduction to fluid dynamics for the advanced
undergraduate sciences student. The course will discuss the
mathematical description of a variety of interesting fluid
phenomena. |
| |
| MATH 4910 Internship in
Mathematics | 1-4 credit hours |
| Prerequisites: | Consent
of departmental adviser |
| Related
quarter/semester courses: | MATH 491 |
|
Course taught: | Fall, Spring, Summer,
Every year. |
| Description: | Mathematics-related work in industry,
business, or government. |
| |
| MATH 4999 Honors
Thesis/Project | 3 credit hours |
| Prerequisites: | Restricted to
students in the Honors Program working on their Honors
degree. |
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | Thesis or
project for the Honors degree. Proposed to satisfy the
following requirements: Writing |
| |
| MATH 5000 Undergraduate
Problem Seminar | 1 credit hour |
| Prerequisites: | MATH 1210
|
| Related quarter/semester courses:
| MATH 500
|
| Course taught: | Fall, Every year. |
|
Description: | Repeatable for credit.
Requires mathematics at undergraduate level only. Difficult
problems presented for solution; sharpens skills and
develops problem-solving techniques. Prepares students for
Putnam Examination (given annually by the Mathematical
Association of America). |
| |
| MATH 5010 Introduction to
Probability | 3 credit hours |
| Prerequisites: | MATH 2210
|
| Related quarter/semester courses:
| MATH 507
|
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: |
Combinatorial problems, random variables, distributions,
independence and dependence, conditional probability,
expected value and moments, law of large numbers, and
central-limit theorems. |
| |
| MATH 5030 Actuarial
Mathematics | 3 credit hours |
| Prerequisites: | MATH 5010
|
| Course taught: | Spring, Every other year. |
|
Description: | Basic introduction
to actuarial and insurance mathematics. It also prepares
the students for the actuarial exam. |
| |
| MATH 5040 Stochastic
Processes and Simulation I | 3 credit hours |
| Prerequisites: |
MATH 5010 |
| Related quarter/semester
courses: | MATH
504 |
| Course taught: | Fall, Every year. |
|
Description: | An introductory course
in the theory and practice of random processes with special
emphasis on problem solving and simulation analysis. |
| |
| MATH 5050 Stochastic
Processes and Simulation II |
3 credit hours |
| Prerequisites: |
MATH 5010, MATH 5040 |
| Related
quarter/semester courses: | MATH 505 |
|
Course taught: | Spring, Every year.
|
| Description: |
Second half of the course described under the listing for
MATH 5040. |
| |
| MATH 5080 Statistical
Inference I | 3 credit hours |
| Prerequisites: | MATH 5010
|
| Related quarter/semester courses:
| MATH 508
|
| Course taught: | Spring, Every year. |
|
Description: | Sampling, sampling
distributions, point and interval estimation, tests of
hypotheses, regression, ranking methods, order statistics
and other nonparametric methods. |
| |
| MATH 5090 Statistical
Inference II | 3 credit hours |
| Prerequisites: | MATH 5010,
MATH 5080 |
| Related quarter/semester
courses: | MATH
509 |
| Course taught: | Fall, Every year. |
|
Description: | Second half of the
course described under the listing for MATH 5080. |
| |
| MATH 5110 Mathematical
Biology I | 3 credit hours |
| Prerequisites: | MATH 2280 or
MATH 3150 or consent of instructor |
|
Related quarter/semester courses: |
BIOL 608 MATH 511 |
| Course taught: | Fall,
Every year. |
| Description: | Cross-listed as BIOL 6080. Topics from
population biology, physiology, and developmental biology.
|
| |
| MATH 5120 Mathematical
Biology II | 3 credit hours |
| Prerequisites: | MATH 5110
|
| Related quarter/semester courses:
| MATH 512 BIOL 609
|
| Course taught: | Spring, Every year. |
|
Description: | Second half of the
course described under the listing for MATH 5110.
Cross-listed as BIOL 6090. |
| |
| MATH 5210 Introduction to
Real Analysis | 4 credit hours |
| Prerequisites: | MATH 3220 and
MATH 4510 or equivalent |
| Related
quarter/semester courses: | MATH 521 |
|
Course taught: | Spring, Every year.
|
| Description: |
Metric spaces, fixed-point theorems and applications,
Lebesgue integral, normed linear spaces, approximation, the
Fundamental Theorem of Calculus. |
| |
| MATH 5250 Matrix Analysis
| 3
credit hours |
|
Prerequisites: | MATH 2270 |
| Course taught: | Spring,
Every year. |
| Description: | Linear transformations and their eigenvalues,
factorizations and canonical forms, vector and matrix norms,
special matrix types, matrix-valued functions, generalized
inverses, matrix groups. |
| |
| MATH 5310 Introduction to
Modern Algebra I | 3 credit hours |
| Prerequisites: | MATH 2250 or
MATH 2270 |
| Related quarter/semester
courses: | MATH
531 MATH 532 |
| Course taught:
| Fall, Every year. |
|
Description: | An introduction to
groups, rings, and fields. |
| |
| MATH 5320 Introduction to
Modern Algebra II | 3 credit hours |
| Prerequisites: | MATH 5320
|
| Related quarter/semester courses:
| MATH 532
|
| Course taught: | Spring, Every year. |
|
Description: | Second half of the
course described under the listing for MATH 5310. |
| |
| MATH 5410 Introduction to
Ordinary Differential Equations |
4 credit hours |
| Prerequisites: |
MATH 3220 |
| Related quarter/semester
courses: | MATH
541 |
| Course taught: | Fall, Every year. |
|
Description: | Linear ordinary
differential equations: initial value problems and behavior
of solutions. Nonlinear equations: existence, uniqueness,
perturbations, extension to the boundary. Introduction to
dynamical systems and their relation to differential
equations. |
| |
| MATH 5420 Ordinary
Differential Equations and Dynamical Systems | 3 credit hours
|
| Prerequisites: |
MATH 5410 or consent of instructor |
| Course taught: | Spring,
Every year. |
| Description: | Continuation of the study of dynamical
systems, through a discussion of stability and its absence,
concrete examples. Sturm-Liouville theory, including the
existence of complete orthonormal systems of eigenfunctions.
|
| |
| MATH 5440 Introduction to
Partial Differential Equations |
3 credit hours |
| Prerequisites: |
MATH 3220 |
| Course taught: | Spring, Every year. |
|
Description: | Classical wave,
Laplace, and heat equations. Fourier analysis, Green's
functions. Methods of characteristics. |
| |
| MATH 5470
Applied Dynamical Systems |
3 credit hours |
| Prerequisites: |
MATH 2250 or 2270 or 2280 |
| Course taught: | Spring, Every year. |
|
Description: | Introduction to
chaotic motions, strange attractors, fractal
geometry,. Models from fluid dynamics and mechanical
and electrical oscillators. |
| |
| MATH 5520 Introduction to
Algebraic/Geometric Topology |
3 credit hours |
| Prerequisites: |
MATH 4510 OR EQUIVALENT |
| Related
quarter/semester courses: | MATH 552 |
|
Course taught: | Spring, Every year.
|
| Description: |
Introduction to algebraic topology via the fundamental group
of a topological space. Includes selected topics in
geometric topology. |
| |
| MATH 5600 Survey of Numerical
Analysis | 4 credit hours |
| Prerequisites: | MATH 2210,
MATH 2250 or MATH 2280 |
| Related
quarter/semester courses: | MATH 560 |
|
Course taught: | Spring, Every year.
|
| Description: |
Numerical linear algebra, interpolation, integration,
differentiation, approximation (including discrete and
continuous least squares, Fourier analysis, and wavelets),
initial and boundary value problems of ordinary and partial
differential equations. |
| |
| MATH 5610 Introduction to
Numerical Analysis I | 4 credit hours |
| Prerequisites: | MATH
2210, and either MATH 2250, or MATH 2270 and MATH 2280, and
computing ability. |
| Related quarter/semester courses: | MATH 561 |
| Course taught: |
Fall, Every year. |
| Description:
| Numerical linear algebra, interpolation,
integration, differentiation, approximation (including
discrete and continuous least squares, Fourier analysis, and
wavelets). |
| |
| MATH 5620 Introduction to
Numerical Analysis II | 4 credit hours |
| Prerequisites: |
MATH 5610 |
| Related quarter/semester
courses: | MATH
562 |
| Course taught: | Spring, Every year. |
|
Description: | Continuation of MATH
5610. Numerical solution of initial and boundary value
problems of ordinary and partial differential equations.
|
| |
| MATH 5650 Topics in Numerical
Analysis | 3 credit hours |
| Prerequisites: | MATH 5600 or
MATH 5610 and MATH 5620 |
| Course taught:
| Other (specified in course
description). |
| Description: |
Variable topics in numerical analysis
depending on need and interest. |
| |
| MATH 5660 Parallel Numerical
Methods |
4 credit hours |
|
Prerequisites: | MATH 5600 or MATH
5610 and MATH 5620 |
| Related
quarter/semester courses: | MATH 566 |
|
Course taught: | Other (specified in
course description). |
| Description:
| An introduction to parallel computing
(hardware, software, programming environments, algorithm
design, performance evaluation) in the context of numerical
linear algebra and the numerical solution of partial
differential equations. To be offered on the basis of need
or interest. |
| |
| MATH 5710 Introduction to
Applied Mathematics I | 3 credit hours |
| Prerequisites: |
MATH 2250, MATH 3150, and MATH 3160 or consent of instructor
|
| Related quarter/semester courses:
| MATH 571
|
| Course taught: | Fall, Every year. |
|
Description: | Symmetric linear
systems, positive definite matrices, eigenvalue problems,
equilibrium equations for discrete and continuous systems,
boundary value problems in ODEs and PDEs, boundary
integrals. |
| |
| MATH 5720 Introduction to
Applied Mathematics II | 3 credit hours |
| Prerequisites: |
MATH 5710 or consent of instructor |
|
Related quarter/semester courses: |
MATH 572 MATH 573 |
| Course taught: | Spring,
Every year. |
| Description: | Fourier methods, initial value problems in
ODEs and PDEs, conservation laws, network flows and
combinatorics, optimization. |
| |
| MATH 5740 Mathematical
Modeling | 3 credit hours |
| Prerequisites: | MATH 5600 or
CP SC 5220 |
| Related quarter/semester
courses: | MATH
574 |
| Course taught: | Spring, Every other year. |
|
Description: | Development of
mathematical models for physical, biological, engineering,
and industrial phenomena and problems, using mainly ordinary
and partial differential equations. Involvement of
analytical and numerical tools suitable for analysis and
visualization of the solutions of these problems, including
packages such as LINPACK, EISPACK, Maple and Matlab. |
| |
| MATH 5750 Topics in Applied
Mathematics | 3 credit hours |
| Prerequisites: | Variable
depending on the topic |
| Related
quarter/semester courses: | MATH 575 |
|
Course taught: | Other (specified in
course description). |
| Description:
| Repeatable for credit when topics vary.
Consult Math Department for specific offering. Possible
topics include integral equations, calculus of variations,
control theory, continuum mechanics, applied matrix theory,
vector and tensor analysis, applications of probability and
statistics. Will be offered occasionally on the basis of
need or interest. |
| |
| MATH 5910 Supervised Reading
| 1-6
credit hours |
|
Prerequisites: | Depend on the topic
studied. |
| Related quarter/semester
courses: | MATH
591 |
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | May be
repeated for credit when the topics vary. |
| |
| MATH 5960 Undergraduate
Special Projects | 4 credit hours |
| Prerequisites: | Consent of
Instructor |
| Related quarter/semester
courses: | MATH
596 |
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | Special
computer project to serve as a senior thesis for students in
scientific-computing emphasis. |
| |
| MATH 6010 Linear Models
| 3
credit hours |
|
Prerequisites: | MATH 5010, MATH 5080,
MATH 5090, MATH 2270 |
| Related
quarter/semester courses: | MATH 601 |
|
Course taught: | Fall, Every year.
|
| Description: |
Univariate linear models with applications to regression and
ANOVA. |
| |
| MATH 6020 Multilinear Models
| 3
credit hours |
|
Prerequisites: | MATH 6010 |
| Course taught: | Spring,
Every year. |
| Description: | Multivariate linear models with applications
to regression and ANOVA. |
| |
| MATH 6040 Mathematical
Probability | 3 credit hours |
| Prerequisites: | MATH 6210
|
| Related quarter/semester courses:
| MATH 604
|
| Course taught: | Spring, Every year. |
|
Description: | Analytical approach to
probability theory, random variables and their
distributions, limit theorems for sums of independent random
variables. |
| |
| MATH 6070 Mathematical
Statistics | 3 credit hours |
| Prerequisites: | MATH 2270,
MATH 5080 |
| Related quarter/semester
courses: | MATH
607 |
| Course taught: | Fall, Every year. |
|
Description: | Topics from
distribution theory, estimation, and hypothesis testing.
|
| |
| MATH 6130 Introduction to
Algebraic Geometry I | 3 credit hours |
| Prerequisites: | MATH
6310-6320 |
| Course taught: | Fall, Every other year. |
|
Description: | Affine and
projective varieties, tangent spaces and singularities,
curve theory. |
| |
| MATH 6140 Introduction to
Algebraic Geometry II | 3 credit hours |
| Prerequisites: |
MATH 6130 |
| Course taught: | Spring, Every other year. |
|
Description: | Surfaces,
intersection theory, special varieties, introduction to
schemes. |
| |
| MATH 6150 Complex Manifolds
| 3
credit hours |
|
Prerequisites: | MATH 6220 |
| Course taught: | Fall,
Every other year. |
| Description:
| Material will be selected from Riemann
surfaces and algebraic curves, Kaehler geometry, Stein
manifold theory, compact surfaces, etc. |
| |
| MATH 6170 Introduction to
Riemannian Geometry | 3 credit hours |
| Prerequisites: | MATH 6520
|
| Course taught: | Fall, Every other year. |
|
Description: | Riemannian metrics,
connections, geodesics, normal coordinates, completeness,
spaces of constant curvature, submanifolds, Bonnet's and
Meyer's theorem, Cartan-Hadamard theorem, Alexandrov and
Topogonov comparison theorems, closed geodesics, cut locus,
sphere theorem. |
| |
| MATH 6210 Real Analysis
| 3
credit hours |
|
Prerequisites: | MATH 5210, MATH 4200
|
| Related quarter/semester courses:
| MATH 621
|
| Course taught: | Fall, Every year. |
|
Description: | Measures and integrals,
Lp -spaces, Hilbert spaces, Banach spaces, Fourier series.
|
| |
| MATH 6220 Complex Analysis
| 3
credit hours |
|
Prerequisites: | MATH 4200, MATH 6210
|
| Related quarter/semester courses:
| MATH 622 MATH 623
|
| Course taught: | Spring, Every year. |
|
Description: | Analytic functions,
complex integration, conformal mapping, families of analytic
functions, zeros of analytic functions, analytic
continuation. |
| |
| MATH 6240 LIE GROUPS/LIE
ALGEBRAS I | 3 credit hours |
| Prerequisites: | MATH 6210,
MATH 6220 |
| Related quarter/semester
courses: | MATH
624 MATH 625 |
| Course taught:
| Fall, Every other year. |
| Description: | Basic theory of
Lie groups and Lie algebras. |
| |
| MATH 6250 Lie Groups/Lie
Algebras II | 3 credit hours |
| Prerequisites: | MATH 6240
|
| Related quarter/semester courses:
| MATH 625
|
| Course taught: | Spring, Every other year. |
|
Description: | Structure theory,
classification, and finite dimensional representations of
Lie groups. Compact Lie groups. |
| |
| MATH 6310 Modern Algebra I
| 3
credit hours |
|
Prerequisites: | MATH 5320 |
| Related quarter/semester courses: | MATH 631 |
| Course taught: |
Fall, Every year. |
| Description:
| Groups, rings, modules, homological
algebra, fields, and Galois theory. |
| |
| MATH 6320 Modern Algebra II
| 3
credit hours |
| Related
quarter/semester courses: | MATH 632 |
|
Course taught: | Spring, Every year.
|
| Description: |
Second half of the course described under the listing for
MATH 6310. |
| |
| MATH 6330 Group Theory I
| 3
credit hours |
|
Prerequisites: | MATH 5320 |
| Course taught: | Other
(specified in course description). |
|
Description: | Various topics in group
theory will be studied. The course will be offered on the
basis of need or interest. May be repeated for credit when
the topics vary. |
| |
| MATH 6340 Group Theory II
| 3
credit hours |
|
Prerequisites: | MATH 6330 |
| Course taught: | Other
(specified in course description). |
|
Description: | Second half of the
course described under the listing for MATH 6330. |
| |
| MATH 6350 Commutative Algebra
| 3
credit hours |
|
Prerequisites: | MATH 6320 |
| Course taught: | Other
(specified in course description). |
|
Description: | Various topics in
commutative algebra. The course will be offered on the
basis of need or interest. May be repeated for credit when
the topics vary. |
| |
| MATH 6410 Ordinary
Differential Equations | 3 credit hours |
| Prerequisites: |
MATH 5210 |
| Related quarter/semester
courses: | MATH
641 |
| Course taught: | Fall, Every year. |
|
Description: | Existence, uniqueness
theory; stability theory; invariant sets and manifolds;
periodic and quasiperiodic motions; boundary value problems;
ODEs in Banach spaces; applications. |
| |
| MATH 6420 Partial
Differential Equations | 3 credit hours |
| Prerequisites: |
MATH 5210 or consent of instructor |
|
Course taught: | Spring, Every year.
|
| Description: |
First order equations: characteristics, transport
equations, shocks, Hamilton-Jacobi theory. Boundary value
problems for the Laplace equation: maximum principles,
Green's functions, Hilbert space methods. Cauchy and
initial-boundary value problems for the heat equation and
wave equation: existence and basic properties. |
| |
| MATH 6430 Advanced Partial
Differential Equations | 3 credit hours |
| Prerequisites: |
MATH 6420 or consent of instructor |
|
Course taught: | Fall, Every other
year. |
| Description: | Elliptic and parabolic equations: methods of
functional analysis; weak solutions; regularity. Systems of
conservation laws. |
| |
| MATH 6440 Advanced Dynamical
Systems |
3 credit hours |
|
Prerequisites: | Consent of instructor
|
| Course taught: | Spring, Every other year. |
|
Description: | Basic abstract
dynamics; stable, unstable, center manifold theory; index
theories; KAM theory; chaos; dimensions of attractors;
forced oscillations; applications. |
| |
| MATH 6510 Differentiable
Manifolds | 3 credit hours |
| Prerequisites: | MATH 4510 and
MATH 5520 |
| Related quarter/semester
courses: | MATH
651 |
| Course taught: | Fall, Every year. |
|
Description: | Manifolds, tangent
spaces, orientation, Whitney's embedding theorem,
transversality, Sard's theorem, partitions of unity, tubular
beighborhoods, fiber bundles, degree theory, vector fields,
flows, Lie derivatives, Frobenius' integrability theorem,
differential forms, DeRham cohomology. |
| |
| MATH 6520 Introduction to
Algebraic Topology | 3 credit hours |
| Prerequisites: | MATH 5520 and
MATH 6510 |
| Course taught: | Spring, Every year. |
|
Description: | Simplicial and cell
complexes, homology and cohomology with coefficients,
excision, Mayer-Vietoris sequence, cup and cap products,
DeRham theorem, Euler characteristic, Poincare-Hopf theorem,
higher homotopy groups, long exact sequence of a fiber
bundle, elementary homotopy theory. |
| |
| MATH 6550 Algebraic Topology
| 3
credit hours |
|
Prerequisites: | MATH 6510 and MATH
6520 |
| Course taught: | Fall, Every other year. |
|
Description: | Topics depend on the
instructor. Possibilities include: Morse theory, Lefschetz
fixed point theorem, simple-homotopy theory, obstruction
theory, vector bundles, characteristic classes, spectral
sequences, duality theorems, rational homotopy theory,
topological K-theory. |
| |
| MATH 6570 Geometric Topology
| 3
credit hours |
|
Prerequisites: | MATH 6510 AND MATH
6520 |
| Course taught: | Fall, Other (specified in course
description). |
| Description: |
Topics depend on the instructor.
Possibilities include: low dimensional topology (geometric
structures on surfaces, Nielsen-Thurston theory of surface
homeomorphisms, topology and geometry of 3-manifolds,
topology of 4-manifolds), surgery and the classification of
high-dimensional manifolds. |
| |
| MATH 6610 Analysis of
Numerical Methods I | 3 credit hours |
| Prerequisites: | MATH 5620
or equivalent |
| Related
quarter/semester courses: | MATH 661 |
|
Course taught: | Fall, Every year.
|
| Description: |
Mathematical analysis of numerical methods in linear
algebra, interpolation, integration, differentiation,
approximation (including least squares, Fourier analysis,
and wavelets), initial and boundary value problems of
ordinary and partial differential equations. |
| |
| MATH 6620 Analysis of
Numerical Methods II | 3 credit hours |
| Prerequisites: | MATH 6610
|
| Course taught: | Spring, Every year. |
|
Description: | Second half of the
course described under the listing for MATH 6210. |
| |
| MATH 6630 Numerical Solutions
of Partial Differential Equations |
3 credit hours |
| Prerequisites: |
MATH 6610, MATH 6620, Graduate course in PDE's |
| Course taught: | Spring,
Every year. |
| Description: | Analysis and implementation of numerical
methods for solving partial differential equations. Issues
of stability and accuracy. Linear and nonlinear problems.
|
| |
| MATH 6710 Applied Linear
Operator and Spectral Methods |
3 credit hours |
| Prerequisites: |
MATH 5210 and MATH 5410 |
| Related
quarter/semester courses: | MATH 671 |
|
Course taught: | Fall, Every year.
|
| Description: |
The theory of linear operators applied to matrix,
differential and integral equations, the Fredholm
alternative, spectral theory, inverse and pseudo-inverse
operators, Hilbert-Schmidt theory and eigenfunction
expansions. |
| |
| MATH 6720 Appl Complex
Variables, Asymptotic Methods |
3 credit hours |
| Prerequisites: |
MATH 5210 and MATH 5410 |
| Course taught:
| Spring, Every year. |
| Description: | Cauchy-Riemann
equations, Cauchy integral formulas, Taylor and Laurent
series, multivalued functions, branch points and cuts,
analytic continuation, Jordan's lemma, evaluation of real
integrals; potential theory, stream functions, conformal
mapping, special functions, Fourier, Laplace, Hilbert, and Z
transforms, scattering theory, asymptopic analysis of
integrals, Laplace's method, Watson's lemma, method of
steepest descents. |
| |
| MATH 6730 Asymptotic and
Perturbation Methods | 3 credit hours |
| Prerequisites: | MATH 6710
and MATH 6720 |
| Related
quarter/semester courses: | MATH 681 |
|
Course taught: | Fall, Every other
year. |
| Description: | Asymptotic analysis, initial value problems,
multiscale analysis and the averaging theorem,
homogenization theory, boundary and transition layer
problems, matched asymptotic expansions, relaxation
oscillations and propagating transition layers. Applications
to problems from the physical and life sciences. |
| |
| MATH 6740 Bifurcation Theory
| 3
credit hours |
|
Prerequisites: | MATH 5410 or consent
of instructor |
| Course taught: |
Spring, Every other year. |
|
Description: | Degree theories;
method of Liapunov and Schmidt; local and global bifurcation
theory; Hopf bifurcation; Liusternik-Shnirelman theory;
applications. |
| |
| MATH 6750 Continuum
Mechanics: Fluids | 3 credit hours |
| Prerequisites: | Undergraduate
ODE and PDE, or Consent of instructor |
|
Course taught: | Fall, Every other
year. |
| Description: | Derivation of equations of fluid dynamics,
Euler and Navier-Stokes equations, Bernoulli's theorem,
Kelvin's circulation theorem, potential flow, exact
solutions, hydrodynamic paradoxes, vorticity,
compressibility, thermal convection, waves in fluids, fluid
instabilities, turbulence. |
| |
| MATH 6760 Continuum
Mechanics: Solids | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Course taught: |
Spring, Every other year. |
|
Description: | Linear and nonlinear
elasticity theory, transport phenomena, electromagnetic and
elastic wave propogation and variational principles.
Additional possible topics include piezoelectricity,
thermoelectricity, viscoelasticity, magnetic materials, the
Hall effect, quasiconvexity and phase transitions, shape
memory and composite materials. |
| |
| MATH 6770 Mathematical
Biology I | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Related quarter/semester
courses: | MATH
677 |
| Course taught: | Fall, Every year. |
|
Description: | Topics will alternate
between (a) ecology and population biology and (b)
physiology and cell biology. |
| |
| MATH 6780 Mathematical
Biology II | 3 credit hours |
| Prerequisites: | Consent of
instructor. |
| Course taught: |
Spring, Every other year. |
|
Description: | Second half of the
course described under the listing for MATH 6770, of which
it is the continuation. |
| |
| MATH 6790 Case Studies in
Computational Engineering and Science | 3 credit hours
|
| Prerequisites: |
MATH 5740 |
| Related
quarter/semester courses: | MATH 674 |
|
Course taught: | Other (specified in
course description). |
| Description:
| Two to five faculty members from various
disciplines will describe in detail a project in which they
are engaged that involves all ingredients of computational
engineering and science: a scientific or engineering
problem, a mathematical problem leading to mathematical
questions, and the solution and interpretation of these
questions obtained by the use of modern computing
techniques. Participating faculty will vary from year to
year. To be offered on the basis of need. |
| |
| MATH 6795 Seminar in
Computational Engineering and Science | 1-5 credit hours
|
| Prerequisites: |
MATH 6790 |
| Related
quarter/semester courses: | CP SC 676 MATH 676 |
| Course taught: | Other
(specified in course description). |
|
Description: | Students in the final
semester of the Computational Engineering and Science
Program will present their own CES-related research. To be
offered on the basis of need. |
| |
| MATH 6910 Supervised Reading
| 1-6
credit hours |
| Related
quarter/semester courses: | MATH 691 |
|
Course taught: | Fall, Spring, Every
year. |
| |
| MATH 6960 Special Projects |
1-6 credit hours
|
| Related quarter/semester courses:
| MATH 696
|
| Course taught: | Fall, Spring, Every year. |
| |
| MATH 6970 Thesis Research: Master's
| 1-9 credit hours
|
| Related quarter/semester
courses: | MATH
697 |
| Course taught: |
Fall, Spring, Every year. |
| |
| MATH 6980 Faculty Consultation |
3 credit hours
|
| Related quarter/semester courses:
| MATH 698
|
| Course taught: | Fall, Spring, Every year. |
| |
| MATH 7210 Representations of Lie groups I
| 3 credit
hours |
| Prerequisites:
| MATH 6210, MATH 6220, and consent of
instructor |
| Related quarter/semester
courses: | MATH
721 |
| Course taught: |
Fall, Every other year. |
|
Description: | Basic theory of
unitary representations of Lie groups. |
| |
| MATH 7220 Representations of
Lie groups II | 3 credit hours |
| Prerequisites: | MATH 7210
|
| Related quarter/semester courses:
| MATH 722
|
| Course taught: | Every other year. |
|
Description: | Infinite dimensional
representations of semi-simple Lie groups. Theory of
Harish- Chandra modules. |
| |
| MATH 7240 Several Complex
Variables I | 3 credit hours |
| Prerequisites: | MATH 6220
|
| Related quarter/semester courses:
| MATH 724
|
| Course taught: | Fall, Every other year. |
|
Description: | Local theory of
functions of several complex variables. |
| |
| MATH 7250 Several Complex
Variables II | 3 credit hours |
| Prerequisites: | MATH 7240
|
| Related quarter/semester courses:
| MATH 725
|
| Course taught: | Spring, Every other year. |
|
Description: | Global theory of
functions of several complex variables. |
| |
| MATH 7270 Topological vector
spaces and distribution theory |
3 credit hours |
| Prerequisites: |
MATH 6210, MATH 6220 |
| Related
quarter/semester courses: | MATH 727 |
|
Course taught: | Fall, Every other
year. |
| Description: | Introduction to topological vector spaces and
the theory of distributions, with applications to partial
differential equations. |
| |
| MATH 7280 Operator Theory
| 3
credit hours |
|
Prerequisites: | MATH 6210, MATH 6220
|
| Related quarter/semester courses:
| MATH 728
|
| Course taught: | Spring, Every other year. |
|
Description: | A study of linear
operators, primarily in Hilbert spaces. |
| |
| MATH 7710 Optimization
| 3
credit hours |
|
Prerequisites: | Consent of instructor
|
| Course taught: | Other (specified in course description).
|
| Description: |
The course discusses modern problems in calculus of
variations and optimal control, especially in the structural
optimizaions, as well as the foundations of these
disciplines.The course will be offered on the basis of need
or interest. |
| |
| MATH 7720 Asymptotic Methods
| 3
credit hours |
|
Prerequisites: | Consent of instructor
|
| Course taught: | Other (specified in course description).
|
| Description: |
Will be offered on the basis of need or interest. |
| |
| MATH 7730 Nonlinear
Oscillations | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Course taught: | Other (specified in course description).
|
| Description: |
Will be offered on the basis of need or interest. |
| |
| MATH 7740 Nonlinear Waves
| 3
credit hours |
|
Prerequisites: | Consent of instructor
|
| Course taught: | Other (specified in course description).
|
| Description: |
To be offered on the basis of need or interest. |
| |
| MATH 7750 Mathematics of
Fluids |
3 credit hours |
| Course
taught: | Other (specified in course
description). |
| Description: |
Various topics in the area of fluid
mechanics, to be offered on the basis of need or interest.
May be repeated for credit when the topics vary. |
| |
| MATH 7760 Mathematics of
Materials | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Course taught: | Other (specified in course description).
|
| Description: |
To be offered on the basis of need or interest. |
| |
| MATH 7770 Mathematical
Modeling | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Course taught: | Fall, Spring, Summer, Every year. |
| Description: | To be
offered as needed. |
| |
| MATH 7800 Topics in Algebraic
Geometry | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Related quarter/semester
courses: | MATH
780 |
| Course taught: | Other (specified in course description).
|
| Description: |
Various topics in the area of algebraic geometry, to be
offered on the basis of need or interest. May be repeated
for credit when the topics vary. |
| |
| MATH 7805 Seminar in
Algebraic Geometry | 1-3 credit hours |
| Prerequisites: | Consent
of instructor |
| Course taught: |
Fall, Spring, Every year. |
| |
| MATH 7810 Topics in Riemannian Geometry
| 3 credit
hours |
| Prerequisites:
| Consent of instructor |
| Related quarter/semester courses: | MATH 781 |
| Course taught: |
Other (specified in course description). |
|
Description: | Various topics in
the area of Riemannian geometry, to be offered on the basis
of need or interest. May be repeated for credit when the
topics vary. |
| |
| MATH 7813 Topics in Complex
Geometry | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Course taught: | Other (specified in course description).
|
| Description: |
Various topics in the area of complex geometry, to be
offered on teh basis of need or interest. May be repeated
for credit when the topics vary. |
| |
| MATH 7815 Seminar in
Differential Geometry | 1-3 credit hours |
| Prerequisites: |
Consent of instructor. |
| Course taught:
| Fall, Spring, Every year. |
| |
| MATH 7820 Topics in Analysis |
3 credit hours
|
| Prerequisites: | Consent of instructor |
|
Related quarter/semester courses: | MATH 782 |
| Course taught: |
Other (specified in course description). |
|
Description: | Various topics in
analysis, to be offered on the basis of need or interest.
May be repeated for credit when the topics vary. |
| |
| MATH 7825 Seminar in Analysis
| 1-3
credit hours |
|
Prerequisites: | Consent of instructor
|
| Course taught: | Fall, Spring, Every year. |
| |
| MATH 7830 Topics in Commutative Algebra
| 3 credit
hours |
| Prerequisites:
| Consent of instructor |
|
Course taught: | Other (specified
in course description). |
| Description:
| Various topics in the area of
commutative algebra, to be offered on the basis of need or
interest. May be repeated for credit when the topics vary.
|
| |
| MATH 7833 Topics in Geometric
Group Theory | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Course taught: | Other (specified in course description).
|
| Description: |
Various topics in the area of geometric group theory, to be
offered on the basis of need or interest. May be repeated
for credit when the topics vary. |
| |
| MATH 7835 Seminar in Algebra
| 1-3
credit hours |
|
Prerequisites: | Consent of instructor
|
| Course taught: | Fall, Spring, Every year. |
| |
| MATH 7840 Topics in Differential Equations
| 3 credit
hours |
| Prerequisites:
| Consent of instructor |
| Related quarter/semester courses: | MATH 784 |
| Course taught: |
Other (specified in course description). |
|
Description: | Various topics in
the area of differential equations, to be offered on the
basis of need or interest. May be repeated for credit when
the topics vary. |
| |
| MATH 7845 Seminar in
Differential Equations | 1-3 credit hours |
| Prerequisites: |
Consent of instructor |
| Related
quarter/semester courses: | MATH 784 |
|
Course taught: | Fall, Spring, Every
year. |
| |
| MATH 7850 Topics in Algebraic
Topology | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Related quarter/semester
courses: | MATH
785 |
| Course taught: | Other (specified in course description).
|
| Description: |
Various topics in algebraic topology, to be offered on the
basis of need or interest. May be repeated for credit when
the topics vary. |
| |
| MATH 7853 Topics in Geometric
Topology | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Course taught: | Other (specified in course description).
|
| Description: |
Various topics in the area of geometric topology, to be
offered on the basis of need or interest. May be repeated
when the topics vary. |
| |
| MATH 7855 Seminar in Topology
| 1-3
credit hours |
|
Prerequisites: | Consent of instructor
|
| Related quarter/semester courses:
| MATH 785
|
| Course taught: | Fall, Spring, Every year. |
|
Description: |
| |
| MATH 7860 Topics in Numerical
Analysis | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Course taught: | Other (specified in course description).
|
| Description: |
Various topics in the area of numerical analysis, to be
offered on the basis of need or interest. May be repeated
for credit when the topics vary. |
| |
| MATH 7865 Seminar in
Numerical Analysis | 1-3 credit hours |
| Related quarter/semester courses: | MATH 786 |
| Course taught: |
Fall, Spring, Every year. |
| |
| MATH 7870 Topics in Applied Mathematics
| 3 credit
hours |
| Prerequisites:
| Consent of instructor |
| Related quarter/semester courses: | MATH 787 |
| Course taught: |
Other (specified in course description). |
|
Description: | Various topics in
applied mathematics. To be offered on the basis of need or
interest. May be repeated for credit when the topics vary.
|
| |
| MATH 7875 Seminar in Applied
Mathematics | 1-3 credit hours |
| Prerequisites: | Consent
of instructor |
| Course taught: |
Fall, Spring, Every year. |
|
Description: |
| |
| MATH 7880 Topics in
Probability | 3 credit hours |
| Prerequisites: | Consent of
instructor |
| Related quarter/semester
courses: | MATH
788 |
| Course taught: | Other (specified in course description).
|
| Description: |
Various topics in the area of probability, to be offered on
the basis of need or interest. May be repeated for credit
when the topics vary. |
| |
| MATH 7883 Topics in
Mathematical Statistics | 3 credit hours |
| Prerequisites: |
CONSENT OF INSTRUCTOR |
| Course taught:
| Other (specified in course
description). |
| Description: |
Various topics in mathematical statistics, to
be offered on the basis of need or interst. May be repeated
for credit when the topics vary. |
| |
| MATH 7885 Seminar in
Probability and Statistics | 1-3 credit hours
|
| Prerequisites: | Consent of instructor |
|
Related quarter/semester courses: |
MATH 788 |
|
Course taught: | Fall, Spring,
Every year. |
| Description: |
| |
| MATH 7890 Topics in
Representation Theory | 3 credit hours |
| Prerequisites: |
Consent of instructor |
| Related
quarter/semester courses: | MATH 789 |
|
Course taught: | Other (specified in
course description). |
| Description:
| Various topics in representation theory,
to be offered on the basis of need or interest. May be
repeated for credit when the topics vary. |
| |
| MATH 7895 Seminar in
Representation Theory | 1-3 credit hours |
| Prerequisites: |
Consent of instructor |
| Course taught:
| Fall, Spring, Every year. |
|
| |
| MATH 7970 Thesis Research:
Ph.D. |
1-9 credit hours |
|
Related quarter/semester courses: |
MATH 797 |
|
Course taught: | Fall, Spring,
Every year. |
| |
| MATH 7980 Faculty Consultation |
3 credit hours
|
| Related quarter/semester courses:
| MATH 798
|
| Course taught: | Fall, Spring, Every year. |
| |
| MATH 7990 Continuing Registration: Ph.D.
| 0 credit
hours |
| Related
quarter/semester courses: | MATH 799 |
|
Course taught: | Fall, Spring, Every
year. |
