MAT1300 – Analysis I
Course description
Schedule, syllabus and examination date
Course content
Real numbers and Euclidean spaces, topology in metric spaces, continuous functions, sequences and series of functions, uniform convergence, differentiable maps, the inverse function theorem, the implicit function theorem, the Riemann integral, Fubini`s theorem and change of variables.
Learning outcome
The course gives an introduction to the basics of mathematical analysis, both for further studies of mathematics and for applications.
Admission
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.
If you are not already enrolled as a student at UiO, please see our information about admission requirements and procedures.
Prerequisites
Formal prerequisite knowledge
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)
The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).
Recommended previous knowledge
MAT1100 – Calculus, MAT1110 – Calculus and Linear Algebra and MAT1120 – Linear Algebra.
Overlapping courses
10 credits with MA134.
*The information about overlaps is not complete. Contact the Department for more information if necessary.
Teaching
4 hours of lectures/exercises per week.
Examination
Two compulsory assignments need to be passed within given deadlines to be allowed to take the final exam. Final mark based on written examination at the end of the semester.
Rules for compulsory assignments at the Department of Mathematics (norwegian only).
Permitted aids at the exam: None.
Language of examination
Subjects 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.
Explanations and appeals
Resit an examination
This subject offers new examination in the beginning of the subsequent term for candidates who withdraw during an ordinary examination or fail an ordinary examination. Deferred examinations for students who due to illness or other valid reason of absence were unable to sit for their final exams will be arranged at the same time. (These valid reasons has to be documented within given deadlines.)
For general information about new and deferred examination, see
/studier/admin/eksamen/sykdom-utsatt/mn/index.html