# Teaching

Office hours for Fall Quarter TBA, BY APPT.

### Winter 2017: Math 256 ODE.

Textbook: Officially Boyce di Prima. 10th edition. This is a pricey book- If I were you I would find an older one : ODE is not a rapidly evolving subject. Office hours will be 2-3 pm Tuesday and 10 -11 am Thursday. I will be available by appointment or drop-in many other times. If you`re a high school student who needs added to the class, email me your student ID and what prerequisites you have met.

### Fall 2015: Math 607, Mean Curvature Flow.

We will be using Carlos Mantegazza`s book. This is available to Download here with UO credentials. In this course we will introduce and study Mean Curvature Flow. Our goal will be to come a working understanding of tools used in research in mean curvature flow, including maximum principle arguments, monotonicity arguments, and blow-up argument. The main text will be the book "Lecture Notes on Mean Curvature Flow" by Mantegazza. We hope to get through this text during the quarter.

I will occasionally assign exercises which will be turned in, so I can evaluate them. Participation and these assignments will be the basis for grading the course. These are strongly encouraged as and understanding of the underlying material will be necessary for the understanding the lectures.

Office hours will be 2-3 pm Tuesday and 10 -11 am Thursday. These are also my office hours for an undergraduate course, but I will be available by appointment or drop-in many other times.

Grading Options: Graded for Majors; Optional for all other students

Instructor: Warren Office: 318 Fenton Hall

Phone: (541) 346-5618

CRN Avail Max Time Day Location Instructor Notes

13871 13 15 1000-1050 mwf 210 DEA Warren M

### Fall 2015: Math 253, Calc III.

Homework 1 Due Oct 8th

Section 8.1: 8, 10, 12, 16, 18, 20, 22, 25, 29, 31, 34, 41, 50, 51, 52 Appendix D: 22, 24

### Spring 2015: Math 639, Differential Geometry

Homework # 1 3.7 3.8 3.11 3.12

Problems From J. Lee`s Riemannian Manifolds book.

Homework # 2 Exercise 4.4, Exercise 4.6 (note these are in the text of chapter, as opposed to problems, which are at the end.) Problems 4.2, 4.3, 4.5.

Homework # 3 5.1 , 5.3 , 5.5, 5.10

### Winter 2015: Math 638, Differential Geometry

Homework # 1 7.4 7.5 8.18 8.19 8.20 8.25

Homework # 2 9.1 9.2 9.5 9.6 9.8

Homework # 3 10.1 10.5 10.6. 10.7

Homework # 4 10.15 11.5 11.6. 11.8 (a) 11.11 11.15

Homework # 5 12.1 12.4. 12.5 12.6

Homework # 6 12.11 13.4 13.6 13.13 13.16

Homework # 7 13.20 13.23 13.25 14.1 14.5

Homework # 8 15.1 15.3 16.3 16.11 16.12 16.14

### Fall 2014: Math 637, Differential Geometry

Syllabus Syllabus

Textbook ISM Download here with UO credentials.

Homework # 1 Due October 8th. ISM # 1.1, 1.2, 1.4, 1.5, 1.7, 1.12

Homework # 2 Due October 15th. ISM # 2.2, 2.3, 2.4, 2.5, 2.6, 2.14

Homework # 3 Due October 24th. ISM # 3.1, 3.3, 3.4, 3.5, 3.8

Homework # 4 Due Nov 3rd. ISM # 4.1, 4.2, 4.4, 4.5, 4.6

Homework # 5 Due Nov 12rd. ISM # 4.9, 4.10, 5.1, 5.2, 5.6 5.11

Homework # 6 Due Nov 19rd. ISM #5.9, 5.16, 5.18, 6.1 and this one

Homework # 7 Due Nov 26rd. ISM # 6.2, 6.5, 6.6. Also: What is a pirates favorite Theorem?

Homework # 8 Due Friday Dec 5th. ISM # 6.8, 6.9, 6.16 8.1 8.13