MAT4110 – Introduction to numerical analysis
The course gives insight into theory and algorithms for fundamental mathematical problems associated with systems of equations, optimization, and approximation of functions. There are many applications, for example, the representation of geometry, images, and more generally large data sets. Applications in various areas of the natural sciences are an essential part of the course. The subject assumes familiarity with linear algebra and calculus of several variables.
After completing the course you will have knowledge of:
- important numerical methods. This includes strategies both for constructing methods and analyzing them, often with the help of linear algebra;
- the limitations of various mathematical approximations and the effect of computer rounding errors;
- some concrete methods for solving various kinds of equation systems and non-linear optimization problems and methods for approximating functions with the help of simpler functions, such as polynomials, piecewise polynomials, and trigonometric functions.
You will master:
- effective programming of numerical methods;
- numerical methods to solve practical problems, including interpretation and analysis of the results and understanding of the importance of reproducibility;
- the presentation and communication of the results of computations;
- LaTeX as a typesetting tool for academic writing in mathematics.
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
- 10 credits overlap with MAT3110 – Introduction to numerical analysis
- 5 credits overlap with MAT-INF4130 – Numerical Linear Algebra (discontinued)
- 10 credits overlap with MAT-IN3110 – Introduction to numerical analysis (continued)
- 5 credits overlap with MAT-INF2360 – Applications of Linear Algebra (discontinued)
4 hours of lectures/exercises each week.
2 mandatory assignments written with (LaTeX), the typesetting software for academic writing in mathematics.
Final oral or written examination. The form of examination will be announced by the teaching staff by 15 October/15 March for the autumn semester and the spring semester respectively.
Examination support material
No examination support material is allowed.
Language of examination
You may write your examination paper in Norwegian, Swedish, Danish or English.
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
Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.
Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.
Withdrawal from an examination
It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.
Special examination arrangements
Application form, deadline and requirements for special examination arrangements.
The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.