News
The exam 2018-01-18 with suggested solutions
Welcome to the course.
There are not many changes from last year's edition, except that
concerning the language (see below). Also, there is a change concerning
the allowed aids at the exam (see below).
The lectures will be given in English, exercise classes in English and Swedish.
The schedule can be found via TimeEdit.
This year the two courses MVE055 and MVE051 will be taught in the same way, with the same lectures, exercises, etc.
The exercise sessions on Wednesdays and Fridays between 8.00 and 9.45 are standard exercise sessions where the teacher assistants will show exercise at the board in the room EL41. There will be the possibility to ask the Teachers assistant for help on Tuesday and Friday (10.00-11.45).
W47: Tuesday(8.00-9.45)-Friday(8.00-9.45): Jiacheng. Wednesday(8.00-9.45)-Friday(10.00-11.45): Helga, Oskar
W48: Tuesday(8.00-9.45)-Friday(8.00-9.45): Helga. Wednesday(8.00-9.45)-Friday(10.00-11.45): Oskar, Jiacheng
W49: Tuesday(8.00-9.45)-Friday(8.00-9.45): Oskar. Wednesday(8.00-9.45)-Friday(10.00-11.45): Jiacheng, Helga
W50: Tuesday(8.00-9.45)-Friday(8.00-9.45): Jiacheng. Wednesday(8.00-9.45)-Friday(10.00-11.45): Helga, Oskar
An English-Swedish 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.
Teachers
Lecturer: Marco Longfils (ML), Petter Mostad (PM)Teaching Assistant: Oskar Allerbo , Helga Kristín Ólafsdóttir, Jiacheng Xia
Student Representatives:
Anton Jerger Kimfors, Anthony Kalcic, Gustav Lahti, Matilda Sjöblom, Kevin Solovjov.
Course Literature
(MA) J. Milton, J. Arnold Introduction to Probability and
Statistics McGraw-Hill (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).
Program
Lectures and exercise sessions
| Week/Day | Lecture/Exercise session |
Preliminary
Contents |
|---|---|---|
| w44(1) |
||
|
30 Oct. 13:15 - 15:00 |
Lecture (ML) Room HB1 |
Introduction to the course
Basic definition and probability laws (MA) Chapters 1, 2 |
|
1 Nov. 8:00 - 9:45 |
Exercise session Rooms EL41 |
(MA) 1.3, 1.7, 1.37, 2.2, 2.4, 2.14 |
|
1 Nov. 13:15 - 15:00 |
Lecture (ML) Room HB1 |
(MA) Chapters 3.1 - 3.5 |
|
3 Nov. 10:00 - 11:45 |
Exercise session Rooms EL41 |
(MA) 2.20, 2.23, 2.32, 2.33, 2.36, 2.41 |
| w45(2) |
||
|
6 Nov. 13:15 - 15:00 |
Lecture (ML) Room HB1 |
(MA) Chapters 4.1, 4.2, 4.4 - 4.6 |
|
8 Nov. 8:00 - 9:45 |
Exercise session Rooms EL42, EL43 |
(MA) 3.10, 3.21acdg, 3.36acef, 3.41 |
|
8 Nov. 13:15 - 15:00 |
Lecture (ML) Room HB1 |
Joint probability distribution (MA) Chapters 5.1 - 5.3 |
|
10 Nov. 10:00 - 11:45 |
Exercise session Rooms EL41, EL42 |
(MA) 4.4, 4.13, 4.18, 4.42 |
| w46(3) |
||
|
13 Nov. 13:15 - 15:00 |
Lecture (ML) Room HB1 |
More probability distributions (MA) Chapters 3.8, 4.3 |
|
14 Nov. 8:00 - 9:45 |
Exercise session Rooms EL41 |
(MA) 5.5, 5.15, 5.29, 5.37 |
|
15 Nov. 13:15 - 15:00 |
Lecture (ML) Room HB1 |
Introduction to Markov chains (GS) Chapter 11.1-11.2 |
|
17 Nov. 8:00 - 9:45 |
Exercise session Rooms EL41 |
(MA) 3.61, 3.62, 4.34, 7.5, 7.7 |
| w47(4) |
||
|
20 Nov. 13:15 - 15:00 |
Lecture (PM) Room HB1 |
Descriptive statistics, Estimation (MA) Chapters 6.1, 6.3, 7.1, Theorem 7.3.4, 7.4, 8.1, 8.2 |
|
22 Nov. 8:00 - 9:45 |
Exercise session Rooms EL42-EL43 |
(GS) 11.1.2, 11.1.11, 11.2.1, 11.2.19 |
|
22 Nov. 13:15 - 15:00 |
Lecture (PM) Room HB1 |
Central limit theorem, confidence
intervals (MA) Chapters 6.1, 6.3, 7.1, Theorem 7.3.4, 7.4, 8.1, 8.2 |
|
24 Nov. 8:00 - 9:45 |
Exercise session Rooms EL41 |
(MA) 7.49, 7.55, 7.56, 8.10, 8.13 Question 6 Exam 2017-10-24 (see below for the exam text and solution) |
| w48(5) |
||
|
27 Nov. 13:15 - 15:00 |
Lecture (PM) Room HB1 |
Statistical tests, inferences on proportions (MA) Chapters 9.1, 9.3 |
|
29 Nov. 8:00 - 9:45 |
Exercise session Rooms EL42-EL43 |
(MA) 8.24, 8.28, 8.36, 8.62 Question 2 Exam 2017-10-24 (see below for the exam text and solution)
|
|
29 Nov. 13:15 - 15:00 |
Lecture (PM) Room HB1 |
(MA) Chapters 10.1, 10.3, 10.4 |
|
1 Dec. 8:00 - 9:45 |
Exercise session Rooms EL41 |
(MA) 9.2, 9.6, 9.12, 9.16 |
| w49(6) |
||
|
4 Dec. 13:15 - 15:00 |
Lecture (ML) Room HB1 |
Generating function and moment generating function (MA) Chapters 3.4 (m.g.f. sec.) (EG) Chapters 6.4, 6.6 |
|
6 Dec. 8:00 - 9:45 |
Exercise session Rooms EL42-EL43 |
(EG) 6.18bc, (A) 13.2.3, 13.2.29, 13.3.11, 13.3.37 |
|
6 Dec. 13:15 - 15:00 |
Lecture (ML) Room HB1 |
(MA) Chapters 7.3 (GS) Chapter 8 |
|
8 Dec. 8:00 - 9:45 |
Exercise session Rooms EL41 |
(MA) 3.32, 3.34, (GS) 8.1.4, 8.1.8, 8.2.1, 8.2.2 |
| w50(7) |
||
|
11 Dec. 13:15 - 15:00 |
Lecture (ML) Room HB1 |
(MA) Chapters 11.1, 11.2, 11.3 |
|
13 Dec. 8:00 - 9:45 |
Exercise session Rooms EL42-EL43 |
Old exams |
|
13 Dec. 13:15 - 15:00 |
Lecture (ML) Room HB1 |
Introduction to non-parametric tests (MA) Chapter 10.6 |
|
15 Dec. 8:00 - 9:45 |
Exercise session Rooms EL41 |
(MA) 10.40, 10.41 Old exams |
|
13 Jan. |
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.
Kurskrav
The course is intended for 2nd year Computer Science students. More
information can be found here.
The aims and learning outcomes for the course can be found in the
course plan for
MVE051 and for
MSG810.
Assignment
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 hand-in 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 12-17.5: 3; 18-23.5: 4; 24-30: 5.
The GU grading scale is 12-21.5: G; 22-30: VG.
Examination routines
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 MVE051 2017-10-24 (date of the exam) and then sign it with a pen. In any case, the font size should not be smaller than 10. All statistical tables needed to compute answers will be copied from the textbook and provided together with the exam questions.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 re-examination:
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. To know which exercises from older exams are relevant for this
year check here.
| 2019-01-07 | English | Solution |
| 2018-04-06 | English | Solution |
| 2018-01-18 | English | Solution |
| 2017-10-24 | English | Solution |
| 2017 |
Mock exam(solution included) | |
| 2016-12-20 |
English/Swedish | Solution |
|
2016-10-25 |
||
|---|---|---|
| 2016-08-24 |
English | Solution |
| 2016-01-04 |
English | Solution |
|
2014-10-28 |
||
|
2014-08-27 |
||
|
2014-01-13 |
Solution |
|
|
2013-10-22 |
Solution |
|
|
2013-08-28 |
||
|
2013-01-15 |
Solution |
|
|
2012-10-20 |
||
|
2012-01-11 |
||
|
2011-10-18 |