** M1R Summer 2018**

Ari Laptev

**Information
**

The main goal of this course is to give an introduction to basic facts related to eigenvalues in infinite dimensional spaces.

- Problem 1: Study of the Derichlet eigenvalues on the square.
- Problem 2: Study of the Derichlet eigenvalues on the unit disc.
- Problem 3: Eigenvalues and eigenfunctions of Harmonic oscillator.
- Problem 4: Can one hear the shape of a drum, see additional file

**Tutorials
**

Tutorial 1, Friday, June 1, 11:00-13:00.

Tutorial 2, Monday, June 4, 12:00-14:00.

Tutorial 3, Friday, June 8, 12:00-14:00.

Tutorial 4, Monday, June 11, 12:00-14:00.

Exam: June 21-22.