6 ECTS credits
150 h study time

Offer 1 with catalog number 1005877CNR for all students in the 2nd semester at a (C) Bachelor - specialised level.

Semester
2nd semester
Enrollment based on exam contract
Impossible
Grading method
Grading (scale from 0 to 20)
Can retake in second session
Yes
Enrollment Requirements
Students must have followed ‘Probability Theory’, before they can enroll for ‘Stochastic Processes’.
Taught in
Dutch
Partnership Agreement
Under agreement for exchange of courses
Faculty
Faculty of Science and Bio-engineering Sciences
Department
Mathematics
Educational team
Uwe Einmahl (course titular)
Activities and contact hours
26 contact hours Lecture
13 contact hours Seminar, Exercises or Practicals
Course Content

1. Markov chains
2. Renewal processes
3. Brownian motion and martingales
4. Stochastic integrals (introduction).

Course material
Digital course material (Required) : Stochastische processen, Syllabus, Einmahl
Handbook (Recommended) : Stochastic processes, Hoofdstuk 1, Hoel-Port-Stone, BIB, 9780881332674, 1986
Handbook (Recommended) : Probability, Hoofdstuk 2, Durrett, 4de, BIB, 9780521765398, 2010
Handbook (Recommended) : Stochastic calculus and financial applications, Hoofdstukken 3&4, Steele, BIB, 9781441928627
Additional info
Syllabus (in Dutch)

Complementary study material:
Hoel-Port-Stone: Stochastic processes (chapter 1)
Durrett: Probability theory (chapter 2)
Steele: Stochastic calculus and financial applications
(chapters 3 en 4)
Learning Outcomes

General competencies

The student learns the basic notions of stochastic processe.

The student can solve exercises.

Grading

The final grade is composed based on the following categories:
Other Exam determines 100% of the final mark.

Within the Other Exam category, the following assignments need to be completed:

  • Examen with a relative weight of 100 which comprises 100% of the final mark.

Additional info regarding evaluation
Examination:
exercises (written): 50%
theory (oral) 50%
Allowed unsatisfactory mark
The supplementary Teaching and Examination Regulations of your faculty stipulate whether an allowed unsatisfactory mark for this programme unit is permitted.

Academic context

This offer is part of the following study plans:
Bachelor of Mathematics and Data Science: Standaard traject (only offered in Dutch)