Schedule, syllabus and examination date

Course content

This course is a generalization and continuation of the mathematical analysis from MAT1100 – Calculus and MAT1110 – Calculus and Linear Algebra, and the linear algebra from MAT1125 – Advanced linear algebra. The theory is generalized from finite-dimensional spaces to spaces that may be infinite-dimensional, and whose elements typically are functions, rather than numbers or what you are used to thinking of as vectors. Key concepts are convergence, continuity, differentiability, completeness, compactness, measure and integration. There is also a basic introduction to the theory of measure and integration, which extends the Riemann integral to a larger class of functions. The theory is applied to problems from for instance differential equations and Fourier analysis. MAT2400 gives training in mathematical reasoning and lays the theoretical foundation for further studies in mathematical analysis.

Learning outcome

After completing the course you

  • are familiar with the theory of metric spaces, you can give arguments related to convergence, continuity, completeness, and compactness in such spaces, and you are familiar with several ways in which the theory may be applied, to study sequences of functions and to show the existence of solutions to ordinary differential equations
  • have a basic knowledge of normed vector spaces and continuous linear maps between such spaces, and you know the basic theory of differentiation of maps between normed vector spaces, including the theorems about inverse and implicit functions
  • have knowledge about inner product spaces, and how to express elements of such spaces as linear combinations of the elements of an orthonormal basis
  • have basic knowledge of the theory of measure and integration, including the fundamental convergence theorems, Lp-spaces, and the construction of the Lebesgue measure
  • can present your own mathematical arguments in a clear and well-organized way, with correct notation and terminology, and you can relate abstract concepts to concrete examples

Admission to the course

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

Special admission requirements

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

  • Mathematics R1 (or Mathematics S1 and S2) + R2

And in addition one of these:

  • Physics (1+2)
  • Chemistry (1+2)
  • Biology (1+2)
  • Information technology (1+2)
  • Geosciences (1+2)
  • Technology and theories of research (1+2)
  • Social economy (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).

Overlapping courses

Teaching

4 hours of lectures and 2 hours of exercises sessions per week throughout the semester.

The number of groups offered can be adjusted during the semester, depending on attendance.

Examination

Final written exam which counts 100 % towards the final grade.

This course has 2 mandatory assignments that must be approved before you can sit the final exam.

Examination support material

No examination support material is allowed.

Language of examination

Courses taught in English will only offer the exam paper in English. You may write your examination paper in Norwegian, Swedish, Danish or English.

Grading scale

Grades are awarded on a scale from A to F, where A is the best grade and F is a fail. Read more about the grading system.

Resit an examination

This course offers both postponed and resit of examination. Read more:

More about examinations at UiO

You will find further guides and resources at the web page on examinations at UiO.

Last updated from FS (Felles studentsystem) Oct. 15, 2026 5:11:49 AM

Facts about this course

Level
Bachelor
Credits
10
Teaching
Spring
Examination
Spring

Contact

Department of Mathematics