Schedule, syllabus and examination date

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Course content

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.

 

Learning outcome

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

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.

Overlapping courses

*The information about overlaps for discontinued courses may not be complete. If you have questions, please contact the Department. 

Teaching

4 hours of lectures/exercises each week throughout the semester.

Examination

mandatory assignments.

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.

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

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.

Evaluation

The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.

Facts about this course

Credits

10

Level

PhD

Teaching

Taught according to demand and resources. Contact studieinfo@math.uio.no if you are interested in this course.

Examination

The same semester as taught.

Teaching language

Norwegian (English on request)