MATS353 Stochastic Differential Equations (4–5 cr)

Open the course unit brochure on Sisu
Study level:
Advanced studies
Grading scale:
0-5
Language:
English, Finnish
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2024-2025, 2025-2026, 2026-2027, 2027-2028

Description

Stochastic differential equations are a modern and important tool in stochastic modelling and have also applications within partial differential equations, harmonic analysis, and other areas of mathematics.
The course covers the following topics:
  • existence and uniqueness of solutions to stochastic differential equations
  • properties of solutions
  • solving particular stochastic differential equations
  • applications in Finance

Learning outcomes

  • The student understands the concept of a solution of a stochastic differential equation,
  • the student knows the theorems from the course about the existence and the behavior of solutions,
  • the student can solve some stochastic differential equations.

Additional information

The course is given every second year. The plan is to have it in spring 2025 and spring 2027.

Description of prerequisites

MATS352 Stochastic Analysis

Study materials

Lecture notes: Stefan Geiss. Stochastic differential equations (chapter 4).

Literature

  • Karatzas, Ioannis, Shreve, Steven: Brownian Motion and Stochastic Calculus, 1998, Springer; ISBN: 978-1-4612-0949-2

Completion methods

Method 1

Evaluation criteria:
The grade of the course is determined by the points aquired in the exam and in the exercises.
Select all marked parts

Method 2

Description:
Arvosana määräytyy lopputentin pistemäärän perusteella.
Evaluation criteria:
The grade of the course is determined by the points aquired in the exam.
Select all marked parts
Parts of the completion methods
x

Teaching (4–5 cr)

Type:
Participation in teaching
Grading scale:
0-5
Language:
English

Teaching

x

Exam (4–5 cr)

Type:
Exam
Grading scale:
0-5
Language:
English
No published teaching