Warren Weaver Hall, room 101, Tuesdays and
Thursdays, 11am - 12:15pm

Courant Institute of Mathematical Sciences

New York University

**Spring Semester, 2018**

Courant Institute of Mathematical Sciences

New York University

E-mail: donev@courant.nyu.edu ; Phone: (212) 992-7315

Office hours: 2-4 pm Tuesdays, or by appointment

Teaching assistant: Yuanxun

Office hours: Wednesday 2-4pm in 1003 Warren Weaver Hall

See Lectures
for details, as well as Recitation
Summary from TA. I have asked NYU ITS to
**record my lectures and post them on NYUClasses** (click the
MediaSite/Panopto tool in the menu on the left).

Many natural phenomena have been successfully formulated as
partial differential equations: common applications include
Physics, Chemistry, Biology, Economics and population dynamics.
This course will be primarily focused on the theory of linear
partial differential equations such as the heat equation, the
wave equation and the Laplace equation, including separation of
variables, Fourier series and transforms, Laplace transforms,
and Green's functions. Some discussion of non-linear
conservation laws and the theory of shock waves will be given as
time permits. The use of computers to solve PDEs numerically
(using Maple or Matlab) will also be briefly covered.

The main textbook is excellent but rather terse. It does not cover all of the material I will cover, and therefore I

- (Functional analysis focus) David F.
**Griffiths**, John W.**Dold**, David J.**Silvester**, Essential Partial Differential Equations: Analytical and Computational Aspects, ISBN: 978-3-319-22569-2, available on SpringerLink.

- (Physics/science focus)
**J. David Logan**, Applied Partial Differential Equations, Springer Verlag, 3rd edition, ISBN:978-3-319-12493-3, available on SpringerLink.

Another optional but very nice and most complete textbook that is also freely available to you in PDF format is

Students who wish to enroll must meet the following prerequisites with a grade of C or better or the equivalent:

- Ordinary Differential Equations

There will be regular
(approximately weekly) assignments
due the second class of each week, a midterm and a final. No
late assignments will be accepted. The grade will be 30% based
on assignments, 25% on midterm (Thursday March 8th), and 45% on
the final (May 15th, 10am in WWH 101).

The grade scale will be based on
the percentiles:

- >92.5 = A
- 87.5-92.5 = A-
- 80.0-87.5 = B+
- 72.5-80.0 = B
- 65.0-72.5 = B-
- 57.5-65.0 = C+
- 50.0-57.5 = C
- 42.5-50.0 = C-

- 30.0-42.5 = D (pass)

- <30
= F (fail)

There is a message and discussion
board on the course NYUCourses page that will be used for
messages related to the assignments and any scheduling changes.
If you register for the class, you automatically have access to
the message board. All course materials including lecture notes
and assignments will be posted on this site as they become
available.

You should feel free to email the instructor with any questions, concerns, or special requests such as meeting outside of office hours, etc.