MAT4400 – Linear Analysis with Applications
Course description
Course content
Learning outcome
After completing the course you
- are used to work with measure spaces and integration of measurable functions
- have a good understanding of the most frequently used tools of Lebesgue integration such as convergence theorems and Fubini-Tonelli theorems
- have a good understanding of various function spaces and their duals
- are acquainted with basic notions of functional analysis
- are familiar with fundamental tools of Fourier analysis
- are prepared for more advanced courses on differential equations, harmonic, stochastic and functional analysis
Admission to the course
Students admitted at UiO must apply for courses in Studentweb. Students enrolled in other Master's Degree Programmes can, on application, be admitted to the course if this is cleared by their own study programme.
Nordic citizens and applicants residing in the Nordic countries may apply to take this course as a single course student.
If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures for international applicants.
Recommended previous knowledge
Overlapping courses
- 10 credits overlap with MAT3400 – Linear Analysis with Applications.
- 5 credits overlap with MAT4300 – Measure and integration (discontinued).
- 5 credits overlap with MAT4340 – Elementary functional analysis (discontinued).
- 5 credits overlap with MAT3300 – Measure and integration (discontinued).
- 5 credits overlap with MA141.
- 5 credits overlap with MA154.
- 5 credits overlap with MA254.
- 5 credits overlap with MA254.
- 5 credits overlap with MA354.
- 5 credits overlap with MA354.
Teaching
6 hours of lectures/exercises every week throughout the semester.
The course may be taught in Norwegian if the lecturer and all students at the first lecture agree to it.
Examination
Final written exam which counts 100 % towards the final grade.
This course has 1 mandatory assignment that must be approved before you can sit the final exam. The assignment must be written with a typesetting software for mathematics, e.g. LaTeX.
It will also be counted as one of the three attempts to sit the exam for this course, if you sit the exam for one of the following courses: MAT3400 – Linear Analysis with Applications
Examination support material
Language of examination
Grading scale
Resit an examination
This course offers both postponed and resit of examination. Read more:
More about examinations at UiO
- Use of sources and citations
- How to use AI as a student
- Special exam arrangements due to individual needs
- Withdrawal from an exam
- Illness at exams / postponed exams
- Explanation of grades and appeals
- Resitting an exam
- Cheating/attempted cheating
You will find further guides and resources at the web page on examinations at UiO.