**Web page: **http://www.math.toronto.edu/ilia/MAT311.2012/.

**Class Location & Time**: *Tue, 10:00 AM - 12:00 PM* IB 260; *Thu, 11:00 AM - 12:00 PM* IB 380

**Tutorials: ** *Fr 12:00-13:00* NE174 (*TUT0101*); *Fr 13:00-14:00* IB395 (*TUT0201*);

**Instructor: **Ilia Binder (ilia@math.toronto.edu), William G. Davis Bldg. 4038, Phone: (905) 569-4381.

**Office Hours: ** Th 10-11 and 1-2.

**Teaching Assistant:** Filip Ziaja (filip.ziaja@utoronto.ca).

**Required Text: ***Partial Differential Equations: An Introduction.* Walter A. Strauss. 2nd Edition (2007).Wiley (978-0470054567)

**Prerequisites:** MAT102H5, 232H5/233H5, 212H5/242H5.

**Topics.
**This course introduces a range of mathematical concepts and techniques in the theory of partial differential equations.

Emphasis will be on specific equations and methods for solving them, rather than on general theory. Most of the course will be

devoted to studying the wave equation, diffusion equation and Laplace's equation. We will learn to pose and solve meaningful

boundary value and initial value problems for these types of equations and we will get acquainted with the basics of Fourier

analysis. By the end of the course students can expect to have a working understanding of the three main PDEs and techniques.

Students are expected to have a solid background in calculus, including all aspects of multivariable calculus. Familiarity with

basic linear algebra and ordinary differential equations is also required, but not as important. In particular students should

already know:

- how to compute partial derivatives of a given function

- that mixed partial derivatives are equal

- how to use the chain rule in one and multiple dimensions

- Green's theorem and the divergence theorem for computing integrals of derivatives

- Jacocbians (the multivariable change of variables formula)

- directional derivatives

- how to solve a few basic ODEs

**Topics covered in class.
**

October 4:

November 8:

**Homework.
**

Assignment #5, due November 1.

**Midterm Test. **There will be an in-class midterm test on Tuesday, October 23. No aides are allowed for this test.

The midterm wil cover sections 1.1-1.5, 2.1-2.5, 4.1-4.3.

** Recommended practice problems (do not turn in):** 1.1.3, 1.1.10, 1.2.3, 1.2.7, 1.3.3, 1.4.1, 1.5.2, 1.5.5, 2.1.2, 2.1.7,
2.2.2, 2.2.4, 2.3.3, 2.3.4, 2.4.4, 2.4.9, 2.5.2, 2.5.3, 4.1.2, 4.1.4, 4.2.1, 4.2.2 (we did the last two problems in class,
but try to re-derive them on your own).

**Final exam. ** You will be allowed to use one one-sided letter-sized page of notes. Textbooks or calculators are not allowed for this exam.

**Recommended practice problems (do not turn in):** review all the midterm practice problems, and also: 4.3.2, 4.3.6, 5.1.4, 5.1.6, 5.2.1, 5.2.9, 5.3.3, 5.3.9, 5.4.8, 5.4.15, 5.5.4, 5.5.5, 6.1.5, 6.1.6, 6.2.3, 6.2.4, 6.3.2, 6.3.3, 6.4.1, 6.4.5.

**Extra office hours for the final: **

*TA:* Friday, December 14, 12-2. Location: DV2068B

*Professor:* Tuesday, December 18, 10-12. Location: DV2068B

**Grading. **Grades will be based on eight homework asignments (5% each), Midterm test (25%), and Final exam (35%). I will also occasionally assign bonus problems.

**Late work. **Extensions for homework deadlines will be considered only for medical reasons. Late assignments will lose 10% per day.Special consideration for late assignments or missed exams must be submitted via e-mail within a week of the original due date. There will be no make-up midterm tests or final. Justifiable absences must be declared on ROSI, undocumented absences will result in zero credit.

Students are expected to adhere to the academic regulations of the University as outlined in the “Code of Behaviour on Academic Matters” which can be found in the UTM Calendar or on the web at http://www.utm.utoronto.ca/regcal/WEBGEN120.html.

The work you submit must be your own and cannot contain anyone else’s work or ideas without proper attribution. Plagiarism is a form of academic fraud and is treated very seriously. Please have a look at http://www.utoronto.ca/writing/plagsep.html.