Calculus and Linear Algebra

MAT10 Calculus and Linear Algebra

Spring 2024

  • Topics

    Analysis: Trigonometric functions and Fourier decomposition of cyclic functions, complex numbers, integration methods, smoothing of irregular functions, spline interpolation and Taylor's formula. 

    Linear Algebra: Vectors, matrices, determinants, linear systems of equations, linear transformations, eigenvalues and eigenvectors. 

  • Learning outcome

    Upon completion of the course the students can


    • Understand basic concepts of calculus and linear algebra.


    • Use tools from analysis: trigonometric and inverse trigonometric functions.
    • Construct the Fourier decomposition of a cyclic function.
    • Understand what a complex number is and what they mean in practice.
    • Use integration by parts and substitution to solve integrals. 
    • Be able to smooth an irregular function.
    • Be able to construct a spline interpolation. 
    • Be able to find the Taylor polynomial of a function and asses the error term. 
    • Master basic tools of linear algebra: vectors, matrices, Gauss-elimination in systems of linear equations, determinants, Cramer's formula, inverse matrices.
    • Understand and analyze linear transformations, eigenvalues and eigenvectors.

    General competence

    • Learn new mathematical tools, which have many applications in economics courses and serve as a background for more specialized mathematical courses.

  • Teaching

    Plenary sessions, 8 sessions of collaborative learning, oracle.

  • Credit reduction due to overlap

    Full overlap with MAT010.

  • Compulsory Activity

    Participation in at least 6 out of 8 sessions of collaborative learning. 

  • Assessment

    5 hour individual school exam (pen and paper).

    An assessment in MAT10 will not be organised in the the non-teaching semester. As of autumn 2023, only mandatory bachelor courses with an individual assessment will have an assessment in the non-teaching semester. This only applies to students with a valid course approval. The retake options that apply at all times are decided by the dean for the bachelor program and will be published in the course description.

  • Grading Scale

    A - F

  • Computer tools

    Some examples are carried out in Mathematica, but use of this software is not required. 

  • Literature


     "Emner i matematisk analyse" can be downloaded from Canvas or bought in the bookstore. 

    David C. Lay, Steven R. Lay, and Judi J. McDonald: Linear Algebra and Its Applications, 6. edition, Pearson. 

    Support literature: Arne Hole: "Kalkulus og lineær algebra", 1. ed., Universitetsforlaget. 

  • Permitted Support Material

    All written support material permitted (category III) 


    One bilingual dictionary (Category I) 

    All in accordance with Supplementary provisions to the Regulations for Full-time Study Programmes at the Norwegian School of Economics Ch.4 Permitted support material and  


ECTS Credits
Teaching language

Spring. Will be offered Spring 2024.

Course responsible

Professor Jan Ubøe, Department of Business and Management Science.