About this course

The course continues with more advanced linear algebra, where we focus on three main themes with applications: diagonalization and systems of differential equations, orthogonal projections and linear regression, as well as spectral theory and principal component analysis. In the second part of the course, we cover classical vector analysis, including the surface integral and the divergence theorem.

Learning outcome

Students are to
  1. Acquire basic ideas and theorems of the theory.
  2. Master standard methods for systems of differential equations, selected algebraic methods and methods for vector analysis.
  3. Be able to use this knowledge and these skills when solving simple applied problems.

  • Learning activities

    The teaching consists of lectures and calculation exercises.

  • Teaching support

    An assistant teacher is present during all the exercise lessons. The students can either contact the teacher in his office, by telephone or by e-mail.

  • Syllabus

    Required and optional reading, syllabus etc. is available on the course web pages (Canvas).

  • Prerequisites

    MATH121 (or MATH111), MATH122, INF120 or INF100.

  • Assessment method

    Written examination: 3.5 hours. Grading rule: A-F. 

  • About use of AI

  • Examiner scheme

    The external and internal examiners jointly prepare the exam questions and the correction manual. The external examiner reviews the internal examiner's examination results by correcting a random sample of candidate's exams as a calibration according to the department's guidelines for examination markings.

  • Mandatory activity

    To be announced at the start of the semester.

  • Teaching hours

    Lectures: 4 hours per week. Exercises: 2 hours per week.

  • Reduction of credits

    MATH112 and MATH280, 5 credits

  • Admission requirements

    Special requirements in Science