L. C. Evans: Partial Differential Equations, Springer, 2010.
Exercise 1 Solutions
Exercise 2 Solutions
Exercise 3 Solutions
Exercise 4 Solutions
Exercise 5 Solutions
Exercise 6 Solutions
Exercise 7 Solutions
Exercise 8 Solutions
Exercise 9 Solutions
Exercise 10 Solutions
Exercise 11 Solutions
There will be two examinations of 2,5 hours, one at the end of each period. The maximum of each exam is 24 points, and to pass the course one has to get the minimum of 8 points in each exam. Bonus points from solutions of exercises: 25 % of problems solved = 1 point, 35 % = 2 points, 45 % = 3 points, 55 % = 4 points, 65 % = 5 points, 75 % = 6 points, to be added to the results of examinations.
Master's Programme in Mathematics and Statistics is responsible for the course.
The course belongs to the Mathematics and Applied mathematics module.
The course is available to students from other degree programmes.
Differentiaaliyhtälöt I ja II, Vektorianalyysi I ja II
This course is an introduction to Partial Differential Equations (PDEs). We learn some techniques and methodologies in the mathematical treatment of PDEs.
Recommended time/stage of studies for completion: 1. or 2. year
Term/teaching period when the course will be offered: varying
Linear transport equation, Laplace's equation, heat equation and wave equation.
Lectures and exercise classes
Exam and excercises, Course will be graded with grades 1-5
Exam, other methods will be described later