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MATH123 Linear Algebra and Vector Analysis

Credits (ECTS):10

Course responsible:Arkadi Ponossov

Campus / Online:Taught campus Ås

Teaching language:Norsk

Course frequency:Annually

Nominal workload:Theory: 130 hours. Exercises: 120 hours.

Teaching and exam period:This course starts in the autumn parallel. This course has teaching/evaluation in the autumn parallel.

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.
  • Prerequisites
    MATH121, MATH122, INF120 or INF100.
  • Assessment method
    Written examination: 3.5 hours.

  • Examiner scheme
    The external and internal examiner 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