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).

Language

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

Lecture notes

Here are typeset notes from 2024/25: Lecture notes. I will update these as the course progresses.

Schedule and program

The course schedule can be found in TimeEdit.

Here is an in-depth schedule and list of recommended exercises for each week: Schedule.

Week 1: Sequences, series and convergence

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

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

Week 4: Partial derivatives, tangent plane and gradient

• Computer Lab 1

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

• Computer Lab 2

Week 6: Periodic functions and Fourier series

• Computer Lab 3

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

• Computer Lab 4

Week 8: Summary and questions

• Computer Lab 5: Examination of Computer Labs

Exam

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.

• Regular exams and re-exams with solutions from 2024/25: ReExam1, RegularExam.
• Example exam from 2024/25: Example Exam.
• 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.

Computer labs

There will be 4 Computer Labs, each with a varying number of exercises, during weeks 4-7.

On week 8, you will have to show your code for Labs 1-4 to the teaching assistants during class. They will evaluate you by asking questions related to the code.

More information on Computer Labs evaluation to be added.

Important: If you failed the computer labs last year (Matlab), contact one of the teaching assistants or me.

More bibliographical information on Computer Labs to be added.

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