TMS165 / MSA350 Stochastic calculus
Course PM
Course PM pdf-file.
Handouts etc
Not all material from Chapters 1-6 and 10 in Klebaner's book will be covered during lectures, but only selected topics from those chapters. Also, there are a few theoretical addition to the material in Klebaner's book. The details of these selections and additions are described here pdf-file.
Lecture notes on applications by Patrik Albin pdf-file.
Lecture notes on numerical methods for SDE by Stig Larsson pdf-file.
Lectures as pdf's and movies
Lecture on Chapter 1 in Klebaner as pdf and movie.
Lecture on Chapter 2 in Klebaner as pdf and movie. Nota bene: Some material in the lecture pdf for Chapter 2 is more ambitious than the above mentioned selections and additions, but regarding the scope of the written exam it is the selections and additions that rule.
Lecture on Chapter 3 in Klebaner as pdf and movie.
Lecture on Chapter 4 in Klebaner with theoretical additions as pdf and movie part 1, movie part 2.
Lecture on Chapter 5 in Klebaner as pdf and movie part 1, movie part 2. Conversion of Stratonovich SDE to Ito SDE pdf.
Lecture on Chapter 6 in Klebaner as pdf and movie part 1, movie part 2.
Lecture on Chapter 10 in Klebaner as pdf and movie part 1, movie part 2.
Lecture on Applications as pdf and movie part 1, movie part 2.
Lecture on Numerical methods as pdf and movie part 1, movie part 2, movie part 3, movie part 4.
Exercises
Link to Exercises.
Program for digital exercises
Friday 1 September 8-9.45 am: Home exercises on Chapters 1 and 2 in Klebaner as pdf and movie.
Friday 8 September 8-9.45 am: Home exercises on Chapter 3 in Klebaner as pdf and movie.
Friday 15 September 8-9.45 am: Home exercises on Chapter 4 in Klebaner as pdf and movie.
Friday 22 September 8-9.45 am: Home exercises on Chapter 5 in Klebaner as pdf and movie.
Friday 29 September 8-9.45 am: Home exercises on Chapter 6 in Klebaner as pdf and movie part 1, movie part 2.
Friday 6 October 8-9.45 am: Home exercises on Chapter 10 in Klebaner as pdf and movie.
Friday 13 October 8-9.45 am: Home exercises on Numerical methods as pdf and movie part 1, movie part 2.
Old Exams
Exam_20240104_with_solutions.pdf
Exam_20231024_with_solutions.pdf
Exam_20230818_with_solutions.pdf
Exam_20230104_with_solutions.pdf
Exam_20221025 with_solutions.pdf
Exam_20220819 with_solutions.pdf
More old exams.
Program
The schedule of the course is in Time Edit.
Additional information about the course can be found at Chalmers student portal.
Course Representatives
Jai Dadwal (CTH) dadwal@student.chalmers.se
Markus Edlund (CTH) markus.edlund@icloud.com
William Karlander (CTH) william.karlander@gmail.com
Vasiliki Kostara (CTH) vakostara@gmail.com
Erik Timlin (GU) gustimliem@student.gu.se
Querys
Questions about the course should be sent by email to Patrik Albin palbin@chalmers.se.
Course summary:
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