MAT9170 – Spline Methods
Schedule, syllabus and examination date
This course gives an introduction to the theory and applications of piecewise polynomials represented by B-splines. In the first part the focus is on basic properties and algorithms of B-splines in one variable, and various approximation methods using these. Subsequently the theory and methods are extended to functions in multiple variables/dimensions, such as parametric curves and tensor products. In the last part of the course, the focus is on theoretical properties of B-splines, such as approximation properties and stability.
After completing the course you know:
- the basic properties and theory of B-splines;
- how to implement basic algorithms for B-splines, such as evaluation, knot-insertion and interpolation;
- how to use B-splines in practice, e.g. how to interpolate data in one or several variables.
- how to present, on a scientific level, a short thesis on a chosen topic of relevance, selected in collaboration with the lecturer
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.
Recommended previous knowledge
Basic courses in introductory programming, calculus, and linear algebra: MAT1100 – Calculus, MAT1110 – Calculus and Linear Algebra, MAT1120 – Linear Algebra, MAT-INF1100 – Modelling and Computations and INF1000 – Introduction to object-oriented programming (continued) / INF1100 – Introduction to programming with scientific applications (continued).
- 10 credits overlap with MAT4170 – Spline Methods
- 10 credits overlap with MAT-INF4170 – Spline Methods (continued)
- 10 credits overlap with MAT-INF9170 – Spline Methods (continued)
*The information about overlaps for discontinued courses may not be complete. If you have questions, please contact the Department.
4 hours of lectures/exercises each week throughout the semester.
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
Subjects taught in English will only offer the exam paper in English.
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.