# MATS230 Partial Differential Equations (9 cr)

**Study level:**

Advanced studies

**Grading scale:**

0-5

**Language:**

English, Finnish

**Responsible organisation:**

Department of Mathematics and Statistics

**Curriculum periods:**

2020-2021, 2021-2022, 2022-2023, 2023-2024

## Description

Introduction to partial differential equations, transport equation, Laplace equation, heat equation and wave equation, physical interpretations, different ways of solving the equations, representing solutions by computer.

## Learning outcomes

Student

- recognizes transport equation, Laplace equation, heat equation and wave equation
- knows physical interpretations for the equations
- knows and can apply basic properties of the equations
- can solve simple PDE problems
- can represent solutions by computer

## Description of prerequisites

Intermediate studies in mathematics, at least Vector calculus 2

## Recommended prerequisites

- Prerequisite group 1

## Study materials

Lecture notes

## Literature

- Evans: Partial differential equations

## Completion methods

### Method 1

**Evaluation criteria:**

The course is graded based on the points of course exam and the points earned from the exercises.

Select all marked parts

### Method 2

**Evaluation criteria:**

Points of the final exam.

Select all marked parts

**Parts of the completion methods**

x

### Participation in teaching (9 cr)

**Type:**

Participation in teaching

**Grading scale:**

0-5

**Evaluation criteria:**

The course is graded based on the points of course exam and the points earned from the exercises.

**Language:**

English, Finnish

**Study methods:**

Lectures and homework

**Study materials:**

Lecture notes

**Literature:**

- Evans: Partial differential equations.

x

### Exam (9 cr)

**Type:**

Exam

**Grading scale:**

0-5

**Evaluation criteria:**

Points of the final exam.

**Language:**

English, Finnish

**Study methods:**

Independent study and final exam.

**Study materials:**

Lecture notes