Applied Mathematics: Probability TheoryLaajuus (3 cr)
Code: TTZM0320
Credits
3 op
Teaching language
- Finnish
Responsible person
- Pekka Varis
Objective
The student understands the concept of probability as a measure of uncertainty. They have a view how this measure can be applied to the random real-world phenomena and statistical analysis.
Content
Random phenomena and the concept of probability. The conditional probability and independency, Bayes’ rule. The random variable, binomial-, Poisson- and normal distribution, the central limit theorem. A review of statistical analysis. Application examples.
Qualifications
Basic skills of algebra and analysis, integral
Assessment criteria, satisfactory (1)
Pass: The student shows in the exam that they understand the concept of probability and is able to apply it to random real-life phenomena and statistical analysis.
The assessment is based on exam and exercises.
Assessment criteria, approved/failed
Pass: The student shows in the exam that they understand the concept of probability and is able to apply it to random real-life phenomena and statistical analysis. The assessment is based on exam and exercises.
Enrollment
01.11.2021 - 09.01.2022
Timing
10.01.2022 - 25.02.2022
Number of ECTS credits allocated
3 op
Virtual portion
1 op
Mode of delivery
67 % Face-to-face, 33 % Online learning
Unit
School of Technology
Campus
Lutakko Campus
Teaching languages
- Finnish
Seats
0 - 35
Degree programmes
- Bachelor's Degree Programme in Information and Communications Technology
Teachers
- Pekka Varis
Groups
-
TTV19S1Tieto- ja viestintätekniikka
-
TTV19S2Tieto- ja viestintätekniikka
-
TTV19S5Tieto- ja viestintätekniikka
Objectives
The student understands the concept of probability as a measure of uncertainty. They have a view how this measure can be applied to the random real-world phenomena and statistical analysis.
Content
Random phenomena and the concept of probability. The conditional probability and independency, Bayes’ rule. The random variable, binomial-, Poisson- and normal distribution, the central limit theorem. A review of statistical analysis. Application examples.
Time and location
Course is implemented between 31.8 - 23.10.
Learning materials and recommended literature
Materials in the e-learning environment.
Teaching methods
- lectures
- independent study
Exam dates and retake possibilities
Date and method of the exam will be announced in the course opening.
Alternative completion methods
The admission procedures are described in the degree rule and the study guide. The teacher of the course will give you more information on possible specific course practices.
Student workload
One credit (1 Cr) corresponds to an average of 27 hours of work.
- lectures 39 h
- independent study 42 h
Total 81 h
Content scheduling
Will be agreed on the first contact lesson of the course.
Further information for students
Arviointi kokeen ja kotitehtävien mukaan.
Ei läsnäolovelvoitetta.
Evaluation scale
Pass/Fail
Evaluation criteria, satisfactory (1-2)
Pass: The student shows in the exam that they understand the concept of probability and is able to apply it to random real-life phenomena and statistical analysis.
The assessment is based on exam and exercises.
Evaluation criteria, pass/failed
Pass: The student shows in the exam that they understand the concept of probability and is able to apply it to random real-life phenomena and statistical analysis. The assessment is based on exam and exercises.
Prerequisites
Basic skills of algebra and analysis, integral