This course is held on Thursdays 08:00-12:00 in the period between February 2 and May 3 at Building 116, room 17.
Objective
This course introduces the basic concepts on probability and probabilistic modeling with emphasis on civil engineering applications. Through the course, participants will acquire knowledge and skills on probabilistic modeling, which serve as a basis for further study and research related to probabilistic mechanics, structural reliability analysis, risk assessment, and engineering decision making under uncertainty.
Course description
Course no.: 11376
Level: Master students
ECTS: 5 points
Responsible person: Assoc. Prof. Kazuyoshi Nishijima.
Course description is found at DTU Course Catalogue.
Organization
Time
08:00 - 09:45 Lecture at 116/17
10:00 - 12:00 Exercise at 116/17
13:30 - 14:30 Office hour at 118/120
Lecture: Kazuyoshi Nishijima
Exercise: Rocco Custer
Office hour: Rocco Custer
Time schedule and lecture/exercise materials
| Date |
Week
|
Topic |
Lecture
|
Supplement |
Exercise |
| February 2 |
1
|
Introduction
Descriptive statistics
|
PDF |
|
PDF |
| February 9 |
2
|
Elements of probability theory |
PDF
|
|
PDF |
| February 16 |
3
|
Random variables/vectors |
PDF
|
PDF
PDF
|
PDF |
| February 23 |
4 |
Distribution families
|
PDF |
PDF |
PDF
PDF
|
| March 1 |
5 |
Parameter estimation |
PDF |
ZIP
PDF
|
PDF |
| March 8 |
6 |
Model verification |
PDF |
PDF |
PDF |
| March 15 |
7 |
Introduction to
structural reliability theory
|
PDF |
PDF
TXT
|
PDF |
| March 22 |
8 |
Introduction to
reliability-based design
|
PDF |
PDF |
|
| March 29 |
9 |
Hypothesis testing
|
PDF |
|
PDF |
| April 12 |
10 |
Bayesian statistics
|
PDF |
|
PDF |
| April 19 |
11 |
Random processes |
PDF |
XLSX |
|
|
April 26
|
12 |
Introduction to structural dynamics
|
PDF |
PDF |
|
| May 3 |
13 |
Monte Carlo simulation
|
PDF |
XLSX |
|
Corrigenda for lecture materials: PDF
Exercise scene
Measuring variability of material properties.
Assessment
Assessment is made with report and oral examiation. The deadline and the description of the report are given here. The date of the oral examination will be announced in due time.
Open repository
Want more exercises? Visit to the open repository jointly maintained by Prof. Steve Winterstein and our group.
Want to read related popular articles? Visit here.
Want to know an application of the seminar's topics in civil engineering? Read monograph "Introduction to Structural Reliability, FORM and LRFD Design" by Prof. Steve Winterstein.