# Fall 2006 courses in the Rutgers-New Brunswick Math Graduate Program

## About the table below

Please see **Beginning the fall semester**
at the bottom of this page. There is a compact
version at the bottom of this page.

**Warning:**
All of the entries are intended to still be correct at the start of
the semester. Please inform the graduate office if it needs to be
updated. Experience has shown that schedules, instructors, and topics
will change. The word "Probably" is used here as a periodic reminder
of this fact.

**Course number:**
640 is the prefix for *Pure Mathematics* courses and 642 is the prefix
for *Applied Mathematics* courses. There is no distinction in
degree requirements for Mathematics and Applied Mathematics,
but we still use this numbering differentiation, which dates to the 1960's.

**Index number:**
This five digit number is needed to register for a course in the
Rutgers system.

**Course name:**
This is the official course name which is in the Rutgers system for
the course corresponding to the given course number. There may be
little relationship between this name and the course contents.

**Instructor:** Probably.

**Place:** Probable classroom.
HLL refers to Hill Center.
The Graduate Program and the Math Department control the use of only a
few (four) real classrooms. There are other spaces available which
have sometimes been used for class meetings.

**Days, period; times:** Probably.
Constraints on meeting times include times which should be
left free for faculty meetings, times left free for traditional
seminar meetings, and 8 AM. Most faculty and almost all graduate
students are quite unwilling to admit that 8 AM exists as a time for
intellectual converse. Note: Monday=M, Tuesday=T, Wednesday=W,
Thursday=Th, Friday=F.

**Warning: The "period" refers to the new Rutgers
80-minute period on Busch Campus: Period 1 begins at 8:40.**
There are 20 minutes between periods.
See the Compact Schedule

### You may click on any course number and get a course description.

Course number Descriptions |
Index number |
Course name | Instructor | Place Days, period; times |
---|---|---|---|---|

640:501 | 02044 | Theory Func Real Variable |
R. Wheeden | HLL 423 MTH 3; 12:00-1:20 |

640:503 | 02045 | Theory Func Complex Variable |
S. Chanillo | HLL 124 TTh 5; 3:20-4:40 |

640:507 | 14890 | Functional Analysis |
R. Nussbaum | CANCELLED |

640:509 | 10343 | Sel Topics in Analysis |
A. Bahri | HLL 425 MW 5; 3:20-4:40 |

640:515 | 14891 | Ordinary Diff Equations |
K. Mischaikow | HLL 124 M4(1:40-3:00) W5 (3:30-4:40) |

640:517 | 09745 | Partial Diff Equations(Intro to Geometric PDEs) |
Z. Han | HLL 425 Th 4-5; 1:40-4:40 |

640:519 | 08561 | Sel Topics in Diff Eqns
(Intro to Free Boundary Problems) |
E. Teixeira | HLL 425 TF 2; 10:20-11:40 |

640:523 | 12697 | Several Complex Vars |
S. Fu | HLL 423 W 2-3; 10:20-1:20 |

640:532 | 12698 | Differential Geometry |
C. Woodward | CANCELLED |

640:535 | 14097 | Algebraic Geometry |
A. Buch | HLL 525 MW 6; 5:00-6:20 |

640:540 | 11131 | Intro Alg Topology |
P. Landweber | HLL 525 TF 3; 12:00-1:20 |

640:547 | 11784 | Topology of Manifolds(Topology and Geometry of Manifolds) |
S. Ferry | HLL 525 MTh 3; 12:00-1:20 |

640:550 | 14098 | Lie Algebras |
R. Wilson | HLL 423 TTH 4; 1:40-3:00 |

640:551 | 02046 | Abstract Algebra |
J. Tunnell | HLL 423 MW 5; 3:20-4:40 |

640:555 | 10376 | Sel. Topics in Algebra(Infinite-dim Lie Algebras) |
YZ. Huang | HLL 425 MTh 3; 12:00-1:20 |

640:558 | 14892 | Theory of Algebras
(Hopf Algebras) |
E. Taft | CANCELLED |

640:561 | 14893 | Mathematical Logic(Set-theoretic forcing) |
S. Thomas | MU 111 ( College Ave)
TTh 6; 4:30-5:50 |

640:569 | 11786 | Sel Topics in Logic
Surreal Numbers |
CANCELLED | |

640:573 | 10344 | Spec Top Number Theory(Spectral Thy Automorphic Forms) |
H. Iwaniec | HLL 124 TF 3; 12:00-1:20 |

640:615 | 02047 | Spec Study Adv Math(Reading courses) |
Various | By Arrangement |

640:616 | 02050 | Seminar in Math |
Seminar Coord. | See calendar |

640:701 | many! | Research in Math |
See Advisor | As needed |

640:811 | 02116 | Graduate Fellowship |
||

640:866 | 02117 | Graduate Assistantship(GA) |
||

640:877 | 02118 | Teaching Assistantship(TA) |
||

642:527 | 02119 | Methods of Appl Math |
D. Ocone | SEC 203 TTh 6; 5:00-6:20 |

642:550 | 02120 | Linear Alg & Applications |
R. Bumby | HLL 423 MW6; 5:00-6:20 |

642:561 | 14894 | Intro. Math. Physics |
A. Soffer | CANCELLED |

642:563 | 11790 | Statistical Mechanics
| J. Lebowitz | TBA |

642:573 | 11791 | Numerical Analysis |
R. Falk | HLL 425 TTh 6; 5:00-6:20 |

642:577 | 15109 | Sel Topics System TheoryIntro to Control Systems Theory |
E. Sontag | HLL 260 W; 10:00-1:00 |

642:582 | 02121 | Combinatorics I |
V. Vu | HLL 525 TF 2; 10:20-11:40 |

642:587 | 07719 |
Sel Topics Discrete Math(Correlation Inequalities) |
J. Kahn | HLL 425 MW 2; 10:20-11:40 |

642:593 | 14101 | Math Fdns Ind Eng |
T. Butler |
HLL 124 MTh 2; 10:20-11:40 |

642:621 | 11132 | Financial Math I |
P. Feehan | HLL 705 M 7-8; 6:40-9:30 |

642:661 | 04830 | Topics Math Physics(Renormalization Group, Ideas in Equilibrium Statistical Mechanics, Entropy Production and Fluctuations in Nonequilibrium Systems) |
G. Gallavotti and D. Ruelle |
W3 (12:00-1:20) in HLL 124 & F4 (1:40-3:00) in HLL 425 To be changed |

## Beginning the fall semester

- The first class day of the fall 2006 semester is Tuesday, September 5, 2006.
- Written qualifying exams will be given Thursday and Friday morning (August 31 and September 1, 2006).
- There will be a reception for new graduate students on Friday afternoon (September 1, 2006) of the week that the semester begins.

^{th}floor. On rare occasions even more food appears. There are

*many*interesting seminars almost every week.

More complete descriptions of courses including information about
texts are usually posted outside the 3^{rd} floor mailroom.
Almost all introductory graduate courses in mathematics are given as a
series of lectures. Most such courses have written homework, and one
or more oral or written examinations. Many basic courses have
assigned texts. More advanced courses depart from these rules. Students
are sometimes asked to lecture, and there are rarely assigned texts.

## The compact schedule

Links here are to further information about each course on the course description page. Note that the times listed here are the new "Busch Campus" class times. Back to the top of this page.