MAT2100 – Elementary Real Analysis
Course content
MAT2100 covers the theoretical basis for one variable mathematical analysis and gives a comprehensive introduction to the central concepts and proof techniques. The course extends the theory of MAT1100 – Calculus emphasizing the theoretical aspects of the theory. Students that want to pursue a masters degree in mathematical analysis (including partial differential equations. mathematical optimization, stochastic analysis and mathematical finance) are recommended to take MAT2400 – Real Analysis instead (or in addition).
Learning outcome
After completing the course you
- will know the axiomatic theory of real numbers and have a good understanding of topological concepts like openness, closedness, compactness, convergence, and continuity on the real line
- will have an understanding of the concept of cardinality and know the difference between countable and uncountable sets
- will be able to use the basic theorems on continuous and differentiable functions on the real line
- will be able to explain the definition of the Riemann integral and the connection between integration and differentiation
- will know the different forms of convergence for sequences and series of functions and the basic theory of power series
- are able to present your own mathematical arguments with correct use of notation and terminology in a clear and well-organized way.
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)
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
- It will also be an advantage to have taken the following courses:
Teaching
4 hours of lectures and 2 hours of problem sessions in groups per week throughout the semester.
The number of groups offered can be adjusted during the semester, depending on attendance.
Examination
Final oral exam which counts 100 % towards the final grade.
This course has several mandatory assignments, where at least 3 must be approved before you can sit the final exam.
Examination support material
No examination support material is allowed.
Language of examination
The examination text is given in Norwegian. You may submit your response 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
- 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.