News
Welcome to the course.
The lectures will be given in English, exercise classes in English and Swedish.
The schedule can be found via TimeEdit.
This year the two course MVE055 and MVE051 will be taught in the same way, with the same lectures, exercises, etc.
During the exercise sessions:
 in ML12, the teacher assistants will present exercise at the board;
 In ML13, the teacher assistants will help students with exercises while they work on their own.
An EnglishSwedish dictionary for statistics can be found in PingPong.
Added an "Errata" for the course textbook in PingPong. It will be updated as errors are found.
Added more informations about the final exam.
Important: the examination room on October 24th will be:
 For MVE055 students: SB Multi;
 For MSG810 students: HA1 (H building);
Addedd more informations about the notes you are allowed to bring at the examination.
Teachers
Lecturer: Marco Longfils (ML), Petter Mostad (PM)
Teaching Assistant: Anders
Hildeman, Olof
Elias, Oskar
Allerbo
Student Representatives:
Chalmers: Joar Blom Rydell, Joel Ardarve, Jakob Frykmer, Emil Holmberg, Lina Lagerquist.
GU: Hugo Lundin, Jimmy Lundqvist.
Course literature
(MA) J. Milton, J. Arnold Introduction to Probability and
Statistics McGrawHill (Course textbook)
(GS) C. Grinstead, J Snell Introduction to Probability AMS (
Available online )
An online textbook in Swedish on Markov Chains can be found in
pdf here.
(EG) K. Eriksson, H. Gavel, Diskret matematik, Studentlitteratur, ISBN
9144028784. Relevant section of the book can be found in PingPong (Note:
Both Chalmers and GU students use PingPong in this course).
(A) J. Anderson, J. Bell, J. Anderson, Discrete Mathematics with
Combinatorics. We use only few exercises, which can be found in PingPong
(Note: Both Chalmers and GU students use PingPong in this course).
Syllabus
Lectures and exercise sessions
Every Tuesday and Friday between 8.00 and 9.45 there will be the possibility to ask the Teachers assistant for help in the room EL41.
Week/Day  Lecture/Exercise session 
Preliminary
Contents 

w35(1) 

28 Aug. 13:15  16:00 
Lecture (ML) Room HC2 
Introduction to the course
Basic definition and probability laws (MA) Chapters 1, 2 
29 Aug. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) 1.3, 1.7, 1.37, 2.2, 2.4, 2.14 
30 Aug. 10:00  11:45 
Lecture (ML) Room HC2 
(MA) Chapters 3.1  3.5 
31 Aug. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) 2.20, 2.23, 2.32, 2.33, 2.36, 2.41 
w36(2) 

4 Sep. 13:15  15:00 
Lecture (ML) Room HC2 
(MA) Chapters 4.1, 4.2, 4.4  4.6 
5 Sep. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) 3.10, 3.21acdg, 3.36acef, 3.41 
6 Sep. 10:00  11:45 
Lecture (ML) Room HC2 
Joint probability distribution (MA) Chapters 5.1  5.3 
7 Sep. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) 4.4, 4.13, 4.18, 4.42 
w37(3) 

11 Sep. 13:15  15:00 
Lecture (PM) Room HC2 
More probability distributions (MA) Chapters 3.8, 4.3 
12 Sep. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) 5.5, 5.15, 5.29, 5.37 
13 Sep. 10:00  11:45 
Lecture (Marina AxelsonFisk) Room HC2 
Introduction to Markov chains (GS) Chapter 11.1 
14 Sep. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) 3.61, 3.62, 4.34, 7.5, 7.7 
w38(4) 

18 Sep. 13:15  15:00 
Lecture (PM) Room HC2 
Estimation, central limit theorem (MA) Chapters 6.1, 6.3, 7.1, Theorem 7.3.4, 7.4, 8.1, 8.2 
19 Sep. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(GS) 11.1.2, 11.1.11, 11.2.1, 11.2.19 
20 Sep. 10:00  11:45 
Lecture (PM) Room HC2 
Central limit theorem, confidence
intervals (MA) Chapters 6.1, 6.3, 7.1, Theorem 7.3.4, 7.4, 8.1, 8.2 
21 Sep. 10:00  12:00 
Exercise session Rooms ML12, ML13 
(MA) 7.49, 7.55, 7.56, 8.10, 8.13 
w39(5) 

25 Sep. 13:15  15:00 
Lecture (PM) Room HC2 
Statistical tests, inferences on proportions (MA) Chapters 9.1, 9.3 
26 Oct. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) 8.24, 8.28, 8.36, 8.62 
27 Sep. 10:00  11:45 
Lecture (PM) Room HC2 
Comparing two means (MA) Chapters 10.1, 10.3, 10.4 
28 Sep. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) 9.2, 9.6, 9.12, 9.16 
w40(6) 

2 Oct. 13:15  15:00 
Lecture (ML) Room HC2 
Generating function and moment generating function (MA) Chapters 3.4 (m.g.f. sec.) (EG) Chapters 6.4, 6.6 
3 Oct. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(EG) 6.18bc, (A) 13.2.3, 13.2.29, 13.3.11, 13.3.37 
4 Oct. 10:00  11:45 
Lecture (ML) Room HC2 
(MA) Chapters 7.3 (GS) Chapter 8 
5 Oct. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) 3.32, 3.34, (GS) 8.1.4, 8.1.8, 8.2.1, 8.2.2 
w41(7) 

9 Oct. 13:15  15:00 
Lecture (ML) Room HC2 
(MA) Chapters 11.1, 11.2, 11.3 
10 Oct. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) Exercises 3.32, 3.34 (GS) Exercises 8.1.4, 8.1.8, 8.2.1, 8.2.2, 8.2.10 
11 Oct. 10:00  11:45 
Lecture (ML) Room HC2 
Statistical Investigation 
12 Oct. 10:00  11:45 
Exercise session Rooms ML12, ML13 
Old exams 
w42(8) 

16 Oct. 13:15  15:00 
Lecture Room HC2 
Introduction to nonparametric tests (MA) Chapter 10.6

17 Oct. 10:00  11:45 
Exercise session Rooms ML12, ML13 
(MA) 10.40, 10.41 
18 Oct. 10:00  11:45 
Lecture (ML,PM) Room HC2 
Consultation

w43(9) 

24 Oct. 
Written Exam 

Recommended exercises for self study ( Solutions for exercises in (MA) / Solutions for exercises in (GS) )
Week 
Exercises 

1 
(MA) 1.4, 1.5, 1.6, 1.11, 1.12, 1.13, 1.14, 1.21, 1.24, 1.27 (MA) 2.3, 2.5, 2.6, 2.11, 2.13, 2.16, 2.19, 2.39, 2.40 
2 
(MA) 3.7, 3.9, 3.13, 3.14, 3.16, 3.17, 3.20, 3.24(abc), 3.31, 3.35, 3.42 (MA) 4.1, 4.3, 4.5, 4.6, 4.9, 4.12, 4.15, 4.17, 4.19, 4.22, 4.41, 4.43, 4.47, 4.48, 4.49, 4.52,4.70, 4.71 
3 
(MA) 5.1, 5.3, 5.9, 5.12, 5.16, 5.21, 5.24, 5.25, 5.26, 5.30, 5.33 (MA) 3.47, 3.48 (MA) 4.35, 4.36, 4.37 
4 
(GS) 11.1.1, 11.1.8, 11.1.9, 11.1.19, 11.2.2, 11.2.3 (MA) 6.1, 6.4, 6.17, 6.24(bcde) (MA) 7.46, 7.50 (MA) 8.1, 8.2, 8.3, 8.5, 8.12, 8.17, 8.21 N.B.: use histogram instead of stem and leaf in 8.1,8.3,8.5 
5 
(MA) 9.1, 9.4, 9.8, 9.19, 9.20, 9.21, 9.23 (MA) 10.1, 10.3, 10.4, 10.12, 10.14, 10.16, 10.17, 10.18, 10.19, 10.21, 10.23, 10.24, 10.26, 10.28 
6  (MA) 7.38, 7.44, 7.45 (EG) 6.18ad, 6.19abc, 6.20 (A) 13.2.7, 13.2.9, 13.2.21, 13.2.23 (A) 13.3.13, 13.3.35, 13.3.39 
7 
(MA) 10.37, 10.38, 10.39 (MA)11.1, 11.7, 11.10, 11.11, 11.12, 11.16, 11.20, 11.23 
Study resources
 The most important resources are the teachers of the course. You are welcome to ask any question during the lectures and exercise sessions, or via email. Consider that receiving an answer to your email might take some time. In particular, we offer tutoring ("Räknestuga") sessions where students works independently with the possibility of asking help to the teachers.
 Mattesupporten is available for anyone studying at Chalmers or at the Faculty of Science at Gothenburg University .
 FUNKA can help anyone studying at Chalmers who needs extra support due to any disability.
Course requirements
The course is intended for 2nd year Computer Science students. More information can be found here.
Assigments
Assignments can be done either individually or in groups of up to
three.
For each assignment you have to hand in a report. The reports are to be
written in English.
If the assignment is done in a group then every member of the group has
to contribute to each part of the assignment and understand everything
in it. Each member of the group is expected to be able to present orally
the solution handed in.
Examination
The grade for the examination consists of two parts, the home
assignments and exam.
To pass the course one has to handin all three home assignments and
pass the exam.
The final written exam will give a maximal score of 30 points.
The Chalmers grading scale is 1217.5: 3; 1823.5: 4; 2430: 5.
The GU grading scale is 1221.5: G; 2230: VG.
Examination procedures
On the written exam you will be allowed to have a Chalmers approved calculator (Casio FX82..., Texas TI30... and Sharp ELW531...) and at most one double sided A4 page of own notes. If the double sided A4 page of notes is produced with a computer, then it should include in the beginning a text that states that the student has made such summary of information/formulas in preparation for the exam MVE055 20171024 (date of the exam) and then sign it with a pen. In any case, the font size should not be smaller than 10.At the exam, you should be able to show valid identification.
Before the exam, it is important that you report that you want to take the examination. You can do this by the Chalmers Student Portal.
Notice of result is obtained only by email via Ladok. (Not verbally at study expedition.) This is done automatically when the results are registered. Check that you have the right grades and score.
At the annual examination:
When it is practical a separate review is arranged. The date of the review will be announced here on the course website. Anyone who can not participate in the review may thereafter retrieve and review their exam on Mathematical sciences study expedition, Monday through Friday, from 9:00 to 13:00. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.
At reexamination:
Exams are reviewed and picked up at the Mathematical sciences study expedition, Monday through Friday, from 9:00 to 13:00. Any complaints about the marking must be submitted in writing at the office, where there is a form to fill out.
Old exams
Below are the exams for some previous editions of the course. Note
however that the way of teaching the course has changed several times,
and that the exams below are not necessarily similar to the exam this
year. More details about what to expect this year will appear later. To
know which exercises from older exams are relevant for this year check here.
20171219  English  Solution 
20171024  English  Solution 
2017 
Mock exam(solution included)  
20161220 
English/Swedish  Solution 
20161025 


20160824 
English  Solution 
20160104 
English  Solution 
20141028 

20140827 

20140113 
Solution 

20131022 
Solution 

20130828 

20130115 
Solution 

20121020 

20120111 

20111018 