# Fall 2004 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.)

**Warning:**
All of the entries are intended to still be
correct at the start of the semester. Updating will occur when the
maintainer of this page is informed. Experience has shown that
schedules, instructors, and topics will change.

**Course number:**
640 is the prefix for *Mathematics* courses and 642 is the prefix
for *Applied Mathematics* courses. There is no distinction in
degree requirements for Mathematics and Applied Mathematics;
the numbering convention 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 the right name.

**Place:**
Presently undetermined. HLL refers to Hill Center.

The Graduate Program and the Math
Department control the use of only four real classrooms. There
are other spaces available which have sometimes been used for class
meetings.

**Days, period; times**
These are tentative. Constraints on class 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 activity.

Note: Monday=M, Tuesday=T, Wednesday=W,
Thursday=Th, Friday=F. The "period" refers to the Rutgers 80-minute
period. Period 1 begins at 8:10. There are 20 minutes between periods.

**Informal description**

Faculty were asked to supply informal descriptions of their
courses. These descriptions were edited mildly.

### 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 | 02285 | Theor Func Real Vari |
V. Retakh | HLL 423 TTh 6; 4:30-5:50 |

640:503 | 02286 | Theor Func Comp Vari |
S. Greenfield | HLL 525 MW4; 1:10-2:30 |

640:508 | 13105 | Functional Analysis II |
M. Vogelius | CANCELLED |

640:509 | 13106 | Sel Topics in Analysis
(Problems in the Navier Stokes equations) |
G. Gallavotti |
HLL 525 TTh 5; 2:50-4:10 First Class 9/28 |

640:517 | 11874 | Partial Diff Equations |
Shadi Tahvildar-Zadeh |
HLL 425 MW 4; 1:10-2:30 |

640:519 | 10048 | Sel Topics in Diff Eqns |
YY. Li | HLL 423 TF 2; 9:50-11:10 |

640:521 | 13107 | Harmonic Analysis |
S. Chanillo | CANCELLED |

640:533 | 14249 | Intro. to Differential Geometry |
X. Huang |
M5 in HLL 313 (2:50-4:10) & W5 in HLL 525 (2:50-4:10) |

640:535 | 13110 | Algebraic Geometry |
C. Weibel | HLL 425 TTh 2; 9:50-11:10 |

640:540 | 14804 | Intro Alg Topology |
S. Ferry | HLL 525 TTh 4; 1:10-2:30 |

640:547 | 11878 | Topology of Manifolds(Symplectic Geometry) |
C. Woodward | CANCELLED |

640:550 | 12190 | Lie Algebras |
R. Goodman | HLL 425 MTh 3; 11:30-12:50 |

640:551 | 02287 | Abstract Algebra |
S. Sahi | HLL 124 MW 5; 2:50-4:10 |

640:555 | 13220 | Sel. Topics in Algebra(Vertex Operator Algebras) |
Haisheng Li | HLL 525 M5 and M6; 2:50-4:10 and 4:30-5:50 |

640:559 | 14250 | Commutative Algebra |
W. Vasoncelos | CANCELLED |

640:573 | 13113 | Spec Top Number Theory |
H. Iwaniec | HLL 124 TF 3; 11:30-12:50 |

640:574 | 13221 | Topics in Number Theory |
J. Tunnell | HLL 425 MW5; 2:50-4:10 |

642:527 | 02361 | Methods of Appl Math |
Zheng-Chao Han | HLL 124 TTh 6; 4:30-5:50 |

642:550 | 02362 | Linear Alg & Applications |
B. Osofsky | HLL 423 MW6; 4:30-5:50 |

642:582 | 02363 | Combinatorics |
J. Kahn | HLL 525 TF 2; 9:50-11:10 |

642:587 | 09023 | Sel Topics Discrete Math |
M. Saks | HLL 423 W4; 1:10-2:30 & F5; 2:50-4:10 |

642:591 | 13473 | Topics Probability & Ergodic Theory
(Ergodic Theory) |
R. Gundy | HLL 423 MW 5; 2:50-4:10 |

642:593 | 11877 | Math Foundations Ind Eng |
T. Butler | HLL 423 MTh 2; 9:50-11:10 |

642:611 | 11879 | Sel Topics Applied Math(Experimental Mathematics) |
D. Zeilberger | ARC PC IML-116
MTh 3; 11:30-12:50 |

642:612 | 14251 | Sel. Topics Applied Math |
J. Lebowitz | time TBD |

642:621 | 14805 | Financial Mathematics |
T. Petrie | HLL 423 TF3; 11:30-12:50 |

642:661 | 05538 | Topics Math Physics(Bohmian Mechanics) |
S. Goldstein | HLL 124 Tues 1&7 (8:10-9:30 AM & 6:10-7:30 PM) |

642:662 | 14253 | Topics Math Physics
(Asymptotic techniques,especially in Fluid Dynamics) |
M. Kruskal | HLL 632 MW6; 4:30-5:50 |

## Beginning the fall semester

- The first class day of the fall 2004 semester is Wednesday, September 1, 2004. (Labor Day is Mon September 6.)
- Written qualifying exams will be given just before the semester begins, Monday and Tuesday morning (August 30 and 31, 2004).
- There might be a reception for new graduate students on Tuesday afternoon (August 31, 2004), the day before the semester begins.
- International Student Orientation will be Wednesday, August 25th.
- TA Orientation will be Thursday, August 26, from 8:30AM until 5PM. It will be at the College Avenue Student Center.

## Postscript

"Tea" (coffee/tea/etc.) and "cookies" (variable in type and quantity) are available most afternoons (3:30-4:30 PM) during the semester, usually in the Wolfson Lounge on the 7^{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.

Last Modified 4/16/2004.