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Welcome to the course! The schedule for the course can be found in TimeEdit.
There are no labs during week 1 as the computer rooms assigned to the course are not fully operational yet. Labs will start on week 2.
Student representatives: Caroline Johansson <carolijo@student.chalmers.se>, Linnéa Johansson <linneajo@student.chalmers.se>, Mattias Johansson <Mattias.Johansson_94@outlook.com>, Sofia Løseth <sofia.loseth@gmail.com>, Hassan Salha <salha@student.chalmers.se>, Philip Wall <wallp@student.chalmers.se>
Teachers
Course coordinator: Mihaly Kovacs
Teaching assistants: Magne Nordaas, Kristin Kirchner, Gustav Kettil, Robert Forslund
Course literature
James Stewart, Calculus. Early transcendentals. Seventh Edition, International Metric Version. ISBN-13: 978-0-538-49887-6
David C. Lay, Steven R. Lay and Judi J. McDonald, Linear Algebra and Its Applications. Fifth Edition. Global Edition. ISBN-13: 978-1292092232
Program
Lectures (preliminary schedule)
| Week |
Sections | Contents |
|---|---|---|
| 1 |
Lecture notes
|
FEM 1D: boundary value problems, heat, wave-equation |
| 2 |
Stewart: 15.1, 15.2, 15.3, 15.4, 15.7 |
Multiple integrals |
| 3 |
Stewart: 15.8, 15.9, 15.10, 16.1, 16.2 |
Multiple integrals continued, vector fields, Grad, line integrals |
| 4 |
Stewart: 16.3, 16.4, 16.5, 16.6, 16.7 |
Green’s Theorem, curl, divergence, surface integrals |
| 5 |
Stewart: 16.8, 16.9 |
Stokes Theorem, Divergence Theorem, FEM in 2D, boundary value problems, heat and wave equations |
| 6 | Lecture notes |
FEM in 2D, boundary value problems, heat and wave equations |
| 7 | Numerical linear algebra | |
| 8 | Repetition |
Recommended exercises:
| Week |
Exercises |
|---|---|
| 1 |
Recommended exercise set
1 |
| 2 |
Stewart:
15.2:1,3,5,7,9,11,13,15,17,19,21,25; 15.3:
1,3,5,7,9,13,15,17,19,21,23; 15.4: 9,11,29,31; 15.7: 3,5,7,9,13 |
| 3 |
Stewart: 15.8:17,21,23; 15.9:21,23,25; 15.10:1,3,5,15,21;
16.1:3,5,7,11,13,21,23,25; 16.2:1-15 odd, 19,21,33,37,43,45
|
| 4 |
Stewart: 16.3:3,5,7,9,13,15,23,31,33; 16.4:1,3,5,7,9,11,13,17;
16.5.:1,3,5,7,13,15,17,23,25,27,29, 16.6:1,3,19,33,35,39,41,43,45;
16.7: 5-19 odd |
| 5 |
Stewart: 16.7: 21-31 odd, 43; 16.8: 3,5,7,9,13,15,17; 16.9: 1-13
odd, 19 |
| 6 | Recommended exercise set
2 |
Computer labs
Reference literature:
Learning MATLAB, Tobin A. Driscoll ISBN:
978-0-898716-83-2 (The book is published by SIAM).
Supplementary material regarding programming in MATLAB developed by MV at Chalmers can be found here.
- Computer lab 1.
- Computer lab 2. You may use this MATLAB code.
- Computer lab 3. You may use this MATLAB code.
Course requirements
The learning goals of the course can be found in the course plan.
Assignments
You can collect 5 bonus points, by handing in correct solutions to the the five problem sets announced during the course. The due date of the exercise sets are to be announced during the course.
- Bonus point problem set 1. It is due, Wednesday, 13 September, 10 a.m. in the folder on my door. Solutions.
- Bonus point problem set 2. It is due, Wednesday, 20 September, in class. Solutions.
- Bonus point problem set 3. It is due, Wednesday, 27 September, in class. Solutions.
- Bonus point problem set 4. It is due, Wednesday, 4 October, in class. Solutions.
- Bonus point problem set 5. It is due, Friday, 13 October, in class. Solutions.
Examination
The final exam is worth 50 points. 20 points are required for a pass grade 3, 30 points for grade 4, and 40 points for grade 5. To pass the course you have to pass the computer labs, too. These are pass/fail.
Examination procedures
In Chalmers Student Portal you can read about when exams are given and what rules apply on exams at Chalmers. In addition to that, there is a schedule when exams are given for courses at University of Gothenburg.
Before the exam, it is important that you sign up for the examination.
If you study at Chalmers, you will do this by the
Chalmers Student Portal, and if you study at University of
Gothenburg, you sign up via GU's
Student Portal.
At the exam, you should be able to show valid identification.
After the exam has been graded, you can see your results in Ladok by logging on to your Student portal.
At the annual (regular) examination:
When it is practical, a separate review is arranged. The date of the
review will be announced here on the course homepage. Anyone who can not
participate in the review may thereafter retrieve and review their exam
at the Mathematical
Sciences Student office. Check that you have the right grades and
score. 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 retrieved at the Mathematical
Sciences Student office. Check that you have the right grades and
score. Any complaints about the marking must be submitted in writing at
the office, where there is a form to fill out.
Old exams
This is the first time this course is given and therefore there are no previous exams available.