Course memo

On this page you will find the program for the course: schedule,  lecture notes, and computer labs. Other information, such as course objectives, teachers, course literature and examination, can be found in a separate course memo (in Swedish).

Here are the notes of the mid-term meeting with the student representatives (2024-09-26): Notes.

Language

The lectures for this course will be in English. Computer labs and the problem sessions will be in Swedish.

Exam

Solutions for the exam 28/10/2024: Solutions.

The exam will be available in both English and Swedish. You will be able to answer in either of these languages (whichever you prefer).

The following list of important equalities (version 2024-10-10) will be distributed together with the exam. You will be able to use this list during the exam. You are not allowed to bring your own list.

If the exam includes proof questions, it will only be the proofs marked with a *-sign in the weekly schedule. The elements marked with a * are supposed to be for the highest grade.

Here is an Example Exam.

Here are the regular exams and re-exams with solutions from 2023/24: Tenta_231023, Lösningar_231023, Omtenta 240103, Lösningar 240103.

For other exams go to the separate course memo.

Schedule and program (to be updated gradually)

The course schedule can be found in TimeEdit.

Week 1: Sequences, series and convergence

• In-depth schedule and exercises

Week 2: Convergence criteria, power series, Maclaurin and Taylor series

• In-depth schedule and exercises

Week 3: Vector-valued functions and functions of several variables

• In-depth schedule and exercises

Week 4: Partial derivatives, tangent plane and gradient

• Computer Lab 1
• In-depth schedule and exercises

Week 5: Directional derivatives, maxima/minima, Lagrange multipliers

• Computer Lab 2
• In-depth schedule and exercises

Week 6: Periodic functions and Fourier series

• Computer Lab 3
• In-depth schedule and exercises

Week 7: Separation of variables, the heat and wave equation

• Computer Lab 4
• In-depth schedule and exercises

Week 8:

• Computer Lab 5
• Summary and questions

Lecture notes

Notes of each lecture will be published here.

Lecture 1: Lecture notes.

Lecture 2: Lecture notes.

Lecture 3: Lecture notes.

Lecture 4: Lecture notes.

Lecture 5: Lecture notes.

Lecture 6: Lecture notes.

Lecture 7: Lecture notes.

Lecture 8: Lecture notes.

Lecture 9: Lecture notes.

Lecture 10: Lecture notes.

Lecture 11: Lecture notes.

Lecture 12: Lecture notes.

Lecture 13: Lecture notes.

Lecture 14: Lecture notes.

Lecture 15: Lecture notes.

Lecture 16: Lecture notes.

Lecture 17: Lecture notes.

Lecture 18: Lecture notes.

Lecture 19: Lecture notes.

Lecture 20: Lecture notes.

Lecture 21: Lecture notes.

Computer labs

There will be 5 computer labs, each with a varying number of exercises. You will get unlimited attempts on each lab (except for one or two questions) and a generous amount of time. In order to pass each lab, all corresponding exercises must be passed. Each lab will be open for just over a week.

http://www.math.chalmers.se/Math/Grundutb/CTH/Matlab/Samhallsbyggnad/ht23/

Reference literature:

1. Material developed by MV, gives a brief introduction to Matlab.
2. Programmering med Matlab,  Katarina Blom.
   Provides an introduction to Matlab and teaches the basics of programming with Matlab. Highly recommended for those who are new to both programming and Matlab.
3. Learning MATLAB, Tobin A. Driscoll. 
   Provides a brief introduction to Matlab to the one who already knows computer programming. Available as e-book from Chalmers library.
4. Physical Modeling in MATLAB 3/E, Allen B. Downey
   The book is free to download from the web. The book gives an introduction for those who have not programmed before. It covers basic MATLAB programming with a focus on modeling and simulation of physical systems.

 

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